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<!DOCTYPE art SYSTEM 'http://www.biomedcentral.com/xml/article.dtd'>
<art>
   <ui>1471-2210-9-15</ui>
   <ji>1471-2210</ji>
   <fm>
      <dochead>Research article</dochead>
      <bibl>
         <title>
            <p>Divergence of allosteric effects of rapacuronium on binding and function of muscarinic receptors</p>
         </title>
         <aug>
            <au ca="yes" id="A1">
               <snm>Jakub&#237;k</snm>
               <fnm>Jan</fnm>
               <insr iid="I1"/>
               <email>jakubik@biomed.cas.cz</email>
            </au>
            <au id="A2">
               <snm>Rand&#225;kov&#225;</snm>
               <fnm>Alena</fnm>
               <insr iid="I1"/>
               <email>randakova@biomed.cas.cz</email>
            </au>
            <au id="A3">
               <snm>El-Fakahany</snm>
               <mi>E</mi>
               <fnm>Esam</fnm>
               <insr iid="I2"/>
               <email>elfak001@umn.edu</email>
            </au>
            <au id="A4">
               <snm>Dole&#382;al</snm>
               <fnm>Vladim&#237;r</fnm>
               <insr iid="I1"/>
               <email>dolezal@biomed.cas.cz</email>
            </au>
         </aug>
         <insg>
            <ins id="I1">
               <p>Institute of Physiology, Academy of Sciences of the Czech Republic, Prague, Czech Republic</p>
            </ins>
            <ins id="I2">
               <p>Division of Neuroscience Research in Psychiatry, University of Minnesota Medical School, Minneapolis, MN 55455, USA</p>
            </ins>
         </insg>
         <source>BMC Pharmacology</source>
         <issn>1471-2210</issn>
         <pubdate>2009</pubdate>
         <volume>9</volume>
         <issue>1</issue>
         <fpage>15</fpage>
         <url>http://www.biomedcentral.com/1471-2210/9/15</url>
         <xrefbib>
            <pubidlist>
               <pubid idtype="doi">10.1186/1471-2210-9-15</pubid>
               <pubid idtype="pmpid">20038295</pubid>
            </pubidlist>
         </xrefbib>
      </bibl>
      <history>
         <rec>
            <date>
               <day>6</day>
               <month>8</month>
               <year>2009</year>
            </date>
         </rec>
         <acc>
            <date>
               <day>28</day>
               <month>12</month>
               <year>2009</year>
            </date>
         </acc>
         <pub>
            <date>
               <day>28</day>
               <month>12</month>
               <year>2009</year>
            </date>
         </pub>
      </history>
      <cpyrt>
         <year>2009</year>
         <collab>Jakub&#237;k et al; licensee BioMed Central Ltd.</collab>
         <note>This is an Open Access article distributed under the terms of the Creative Commons Attribution License (<url>http://creativecommons.org/licenses/by/2.0</url>), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</note>
      </cpyrt>
      <abs>
         <sec>
            <st>
               <p>Abstract</p>
            </st>
            <sec>
               <st>
                  <p>Background</p>
               </st>
               <p>Many neuromuscular blockers act as negative allosteric modulators of muscarinic acetylcholine receptors by decreasing affinity and potency of acetylcholine. The neuromuscular blocker rapacuronium has been shown to have facilitatory effects at muscarinic receptors leading to bronchospasm. We examined the influence of rapacuronium on acetylcholine (ACh) binding to and activation of individual subtypes of muscarinic receptors expressed in Chinese hamster ovary cells to determine its receptor selectivity.</p>
            </sec>
            <sec>
               <st>
                  <p>Results</p>
               </st>
               <p>At equilibrium rapacuronium bound to all subtypes of muscarinic receptors with micromolar affinity (2.7-17 &#956;M) and displayed negative cooperativity with both high- and low-affinity ACh binding states. Rapacuronium accelerated [<sup>3</sup>H]ACh association with and dissociation from odd-numbered receptor subtypes. With respect to [<sup>35</sup>S]GTP&#947;S binding rapacuronium alone behaved as an inverse agonist at all subtypes. Rapacuronium concentration-dependently decreased the potency of ACh-induced [<sup>35</sup>S]GTP&#947;S binding at M<sub>2 </sub>and M<sub>4 </sub>receptors. In contrast, 0.1 &#956;M rapacuronium significantly increased ACh potency at M<sub>1</sub>, M<sub>3</sub>, and M<sub>5 </sub>receptors. Kinetic measurements at M<sub>3 </sub>receptors showed acceleration of the rate of ACh-induced [<sup>35</sup>S]GTP&#947;S binding by rapacuronium.</p>
            </sec>
            <sec>
               <st>
                  <p>Conclusions</p>
               </st>
               <p>Our data demonstrate a novel dichotomy in rapacuronium effects at odd-numbered muscarinic receptors. Rapacuronium accelerates the rate of ACh binding but decreases its affinity under equilibrium conditions. This results in potentiation of receptor activation at low concentrations of rapacuronium (1 &#956;M) but not at high concentrations (10 &#956;M). These observations highlight the relevance and necessity of performing physiological tests under non-equilibrium conditions in evaluating the functional effects of allosteric modulators at muscarinic receptors. They also provide molecular basis for potentiating M<sub>3 </sub>receptor-mediated bronchoconstriction.</p>
            </sec>
         </sec>
      </abs>
   </fm>
   <bdy>
      <sec>
         <st>
            <p>Background</p>
         </st>
         <p>Five subtypes of muscarinic acetylcholine receptors that belong to class A of G-protein coupled receptors have been identified <abbrgrp><abbr bid="B1">1</abbr></abbrgrp>. The primary response of stimulation of the M<sub>2 </sub>and M<sub>4 </sub>subtypes of muscarinic receptors is activation of the G<sub>i/o </sub>class of G-proteins resulting in inhibition of adenylyl cyclase, whereas stimulation of M<sub>1</sub>, M<sub>3</sub>, and M<sub>5 </sub>receptors leads to activation of the G<sub>q/11 </sub>class of G-proteins and stimulation of phospholipase C<abbrgrp><abbr bid="B2">2</abbr></abbrgrp>. Muscarinic receptors mediate many diverse physiological functions that are selectively mediated by different receptor subtypes <abbrgrp><abbr bid="B3">3</abbr></abbrgrp>. This is why discovery of selective ligands is of prime importance for clinical practice. However, due to the very conserved nature of the orthosteric binding site of muscarinic acetylcholine receptors the selectivity of orthosteric agonists is very poor <abbrgrp><abbr bid="B4">4</abbr></abbrgrp>. Orthosteric antagonists that bind to less conserved amino acids located close to the orthosteric binding site display better selectivity than orthosteric agonists. Muscarinic allosteric ligands exhibit remarkable selectivity among receptor subtypes <abbrgrp><abbr bid="B5">5</abbr></abbrgrp>. They interact mainly with the second and the third extracellular loops that are much less conserved than transmembrane segments creating the orthosteric binding site <abbrgrp><abbr bid="B6">6</abbr><abbr bid="B7">7</abbr><abbr bid="B8">8</abbr><abbr bid="B9">9</abbr><abbr bid="B10">10</abbr></abbrgrp>.</p>
         <p>The extraordinary selectivity of allosteric modulators that is due to differences in both affinity and cooperativity <abbrgrp><abbr bid="B11">11</abbr></abbrgrp> has attracted attention of pharmacologists in the past decade. Somewhat paradoxically, most of originally discovered and probably best studied allosteric compounds of muscarinic receptors are neuromuscular blockers <abbrgrp><abbr bid="B12">12</abbr><abbr bid="B13">13</abbr><abbr bid="B14">14</abbr></abbrgrp>. By definition, these are competitive nicotinic acetylcholine receptor antagonists but many of them have high affinities and strong allosteric interactions, particularly at the M<sub>2 </sub>subtype of muscarinic receptors.</p>
         <p>In clinical practice, different competitive (nondepolarizing) neuromuscular blockers are employed to induce muscle relaxation to facilitate intubation during surgery. The neuromuscular blocker rapacuronium was withdrawn from clinical use due to high incidence of bronchospasm resulting in death <abbrgrp><abbr bid="B15">15</abbr></abbrgrp>. Parasympathetic innervation of airways transmits signal via postsynaptic M<sub>3 </sub>receptors that mediate acetylcholine-induced contraction and M<sub>2 </sub>receptors that inhibit with high potency smooth muscle relaxation mediated by increase in cytoplasmic cAMP <abbrgrp><abbr bid="B16">16</abbr></abbrgrp>. M<sub>2 </sub>receptors are also located at parasympathetic cholinergic nerve terminals innervating smooth muscle and their stimulation inhibits acetylcholine (ACh) release <abbrgrp><abbr bid="B17">17</abbr></abbrgrp>. In functional experiments on the guinea pig trachea preparation it was demonstrated that rapacuronium preferentially antagonizes M<sub>2 </sub>over M<sub>3 </sub>muscarinic receptors <abbrgrp><abbr bid="B18">18</abbr></abbrgrp>. In addition, involvement of allosteric potentiation of ACh binding to muscarinic M<sub>3 </sub>receptors in bronchospasm induced by rapacuronium was suggested, but not proven <abbrgrp><abbr bid="B19">19</abbr></abbrgrp>. A very recent paper confirmed a unique behavior of rapacuronium compared to other skeletal muscle relaxants in vivo and demonstrated that rapacuronium potentiates bronchoconstriction evoked by both naturally released and exogenous acetylcholine, indicating an important role of postsynaptic M<sub>3 </sub>receptors <abbrgrp><abbr bid="B20">20</abbr></abbrgrp>.</p>
         <p>Because we have been interested in investigations of positive cooperativity of allosteric ligands with ACh binding <abbrgrp><abbr bid="B11">11</abbr><abbr bid="B21">21</abbr></abbrgrp> and allosteric agonists <abbrgrp><abbr bid="B22">22</abbr></abbrgrp> these findings led us to analyze in detail the interactions of rapacuronium with acetylcholine binding and receptor activation of all subtypes of muscarinic receptors heterologously expressed in membranes of Chinese hamster ovary (CHO) cells. We demonstrate that rapacuronium binds to and exhibits negative cooperativity with ACh binding at all subtypes of muscarinic receptors. Surprisingly, low concentrations of rapacuronium potentiate ACh-induced signaling at the M<sub>1</sub>, M<sub>3</sub>, and M<sub>5 </sub>receptor subtypes and accelerate ACh binding. This striking behavior is unparallel at other neuromuscular blockers.</p>
      </sec>
      <sec>
         <st>
            <p>Results</p>
         </st>
         <p>Saturation binding experiments (Figure <figr fid="F1">1</figr>; Table <tblr tid="T1">1</tblr>) with 68 pM to 2 nM [<sup>3</sup>H]NMS in cell membranes showed similar binding capacity (1 to 2 pmol of binding sites per mg of protein) and affinity (equilibrium dissociation constant (K<sub>D</sub>) ranging from 205 pM at M<sub>4 </sub>to 320 pM at M<sub>2 </sub>receptors) for all receptor subtypes (Figure. <figr fid="F1">1</figr>; Table <tblr tid="T1">1</tblr>). Significant depletion (up to 34% at M<sub>1 </sub>for 68 pM [<sup>3</sup>H]NMS) occurred despite the use of 0.8 ml incubation volume in the binding assays. Thus, free concentrations of [<sup>3</sup>H]NMS were calculated and used in Eq. 1. Saturation binding experiments with 3.4 nM to 100 nM [<sup>3</sup>H]ACh showed similar high affinity binding among all subtypes with K<sub>D </sub>around 20 nM. Rapacuronium concentration dependently decreased affinity for [<sup>3</sup>H]NMS and [<sup>3</sup>H]ACh at all subtypes without change in maximum binding capacity (B<sub>MAX</sub>). Competition experiments of unlabeled ACh vs. [<sup>3</sup>H]NMS displayed high and low binding sites for ACh at all subtypes with higher proportion of high affinity binding sites at even-numbered subtypes (Figure <figr fid="F2">2</figr>). Equilibrium dissociation constants (K<sub>I</sub>) of ACh high-affinity binding derived from competition experiments with [<sup>3</sup>H]NMS (pK<sub>D </sub>= 7.32 &#177; 0.06, 7.59 &#177; 0.03, 7.79 &#177; 0.05, 7.69 &#177; 0.04, 7.68 &#177; 0.05, mean &#177; SE for M<sub>1 </sub>to M<sub>5 </sub>receptor) correspond to those measured in [<sup>3</sup>H]ACh saturation experiments (Table <tblr tid="T1">1</tblr>). In the presence of 10 &#956;M GTP&#947;S to uncouple receptors and G-proteins ACh low affinity binding was similar at all five subtypes with equilibrium dissociation constant (K<sub>I</sub>) ranging from 25.5 &#956;M at M<sub>4 </sub>to 46.8 &#956;M at M<sub>1</sub>.</p>
         <fig id="F1">
            <title>
               <p>Figure 1</p>
            </title>
            <caption>
               <p>Saturation binding of [<sup>3</sup>H]NMS and [<sup>3</sup>H]Ach</p>
            </caption>
            <text>
               <p><b>Saturation binding of [<sup>3</sup>H]NMS and [<sup>3</sup>H]Ach</b>. Specific binding of [<sup>3</sup>H]NMS (circles) and [<sup>3</sup>H]ACh (squares) to membranes from CHO cells expressing individual subtypes of muscarinic receptors is plotted against the concentration of free radioligand. Binding of radioligand in the absence (closed symbols) and presence of 10 &#956;M (open symbols) or 100 &#956;M (hatched symbols) rapacuronium, respectively. Data are means &#177; SE from 3 independent experiments performed in quadruplicates. Curves are fits of Eq. 1 to data. Binding parameters are summarized in Table 1.</p>
            </text>
            <graphic file="1471-2210-9-15-1"/>
         </fig>
         <fig id="F2">
            <title>
               <p>Figure 2</p>
            </title>
            <caption>
               <p>Effects of 10 &#956;M GTP&#947;S on ACh competition with [<sup>3</sup>H]NMS binding</p>
            </caption>
            <text>
               <p><b>Effects of 10 &#956;M GTP&#947;S on ACh competition with [<sup>3</sup>H]NMS binding</b>. Binding of 1 nM [<sup>3</sup>H]NMS to the membranes from CHO cells expressing individual subtypes of muscarinic receptors in the absence (closed circles) or presence (open circles) of 1 &#956;M GTP&#947;S is expressed as per cent of control binding and are plotted against concentration of ACh. Data are means &#177; SE of 3 independent experiments performed in quadruplicates. Binding parameters are described in the Results.</p>
            </text>
            <graphic file="1471-2210-9-15-2"/>
         </fig>
         <tbl id="T1">
            <title>
               <p>Table 1</p>
            </title>
            <caption>
               <p>Effects of rapacuronium on [<sup>3</sup>H]NMS and [<sup>3</sup>H]ACh saturation binding</p>
            </caption>
            <tblbdy cols="7">
               <r>
                  <c>
                     <p/>
                  </c>
                  <c ca="center">
                     <p>
                        <b>pK<sub>D</sub></b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>B<sub>MAX</sub></b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>pK<sub>D</sub>'</b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>B<sub>MAX</sub></b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>pK<sub>D</sub>'</b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>B<sub>MAX</sub></b>
                     </p>
                  </c>
               </r>
               <r>
                  <c cspan="7">
                     <hr/>
                  </c>
               </r>
               <r>
                  <c>
                     <p/>
                  </c>
                  <c cspan="2" ca="center">
                     <p>
                        <b>[<sup>3</sup>H]NMS</b>
                     </p>
                  </c>
                  <c cspan="2" ca="center">
                     <p>
                        <b>+ 10 &#956;M rapacuronium</b>
                     </p>
                  </c>
                  <c cspan="2" ca="center">
                     <p>
                        <b>+ 100 &#956;M rapacuronium</b>
                     </p>
                  </c>
               </r>
               <r>
                  <c cspan="7">
                     <hr/>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>1</sub></p>
                  </c>
                  <c ca="center">
                     <p>9.60 &#177; 0.04</p>
                  </c>
                  <c ca="center">
                     <p>1.98 &#177; 0.20</p>
                  </c>
                  <c ca="center">
                     <p>9.14 &#177; 0.03*</p>
                  </c>
                  <c ca="center">
                     <p>2.03 &#177; 0.15</p>
                  </c>
                  <c ca="center">
                     <p>8.73 &#177; 0.03*</p>
                  </c>
                  <c ca="center">
                     <p>1.85 &#177; 0.17</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>2</sub></p>
                  </c>
                  <c ca="center">
                     <p>9.49 &#177; 0.03</p>
                  </c>
                  <c ca="center">
                     <p>1.56 &#177; 0.16</p>
                  </c>
                  <c ca="center">
                     <p>8.92 &#177; 0.04*</p>
                  </c>
                  <c ca="center">
                     <p>1.62 &#177; 0.14</p>
                  </c>
                  <c ca="center">
                     <p>8.64 &#177; 0.03*</p>
                  </c>
                  <c ca="center">
                     <p>1.66 &#177; 0.14</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>3</sub></p>
                  </c>
                  <c ca="center">
                     <p>9.64 &#177; 0.05</p>
                  </c>
                  <c ca="center">
                     <p>1.64 &#177; 0.17</p>
                  </c>
                  <c ca="center">
                     <p>9.44 &#177; 0.03*</p>
                  </c>
                  <c ca="center">
                     <p>1.67 &#177; 0.14</p>
                  </c>
                  <c ca="center">
                     <p>8.96 &#177; 0.03*</p>
                  </c>
                  <c ca="center">
                     <p>1.59 &#177; 0.16</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>4</sub></p>
                  </c>
                  <c ca="center">
                     <p>9.69 &#177; 0.04</p>
                  </c>
                  <c ca="center">
                     <p>1.19 &#177; 0.14</p>
                  </c>
                  <c ca="center">
                     <p>9.19 &#177; 0.02*</p>
                  </c>
                  <c ca="center">
                     <p>1.17 &#177; 0.13</p>
                  </c>
                  <c ca="center">
                     <p>8.52 &#177; 0.06*</p>
                  </c>
                  <c ca="center">
                     <p>1.06 &#177; 0.10</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>5</sub></p>
                  </c>
                  <c ca="center">
                     <p>9.59 &#177; 0.03</p>
                  </c>
                  <c ca="center">
                     <p>1.49 &#177; 0.16</p>
                  </c>
                  <c ca="center">
                     <p>9.31 &#177; 0.02*</p>
                  </c>
                  <c ca="center">
                     <p>1.53 &#177; 0.15</p>
                  </c>
                  <c ca="center">
                     <p>8.46 &#177; 0.06*</p>
                  </c>
                  <c ca="center">
                     <p>1.33 &#177; 0.13</p>
                  </c>
               </r>
               <r>
                  <c cspan="7">
                     <hr/>
                  </c>
               </r>
               <r>
                  <c>
                     <p/>
                  </c>
                  <c cspan="2" ca="center">
                     <p>
                        <b>[<sup>3</sup>H]Ach</b>
                     </p>
                  </c>
                  <c cspan="2" ca="center">
                     <p>
                        <b>+ 10 &#956;M rapacuronium</b>
                     </p>
                  </c>
                  <c cspan="2" ca="center">
                     <p>
                        <b>+ 100 &#956;M rapacuronium</b>
                     </p>
                  </c>
               </r>
               <r>
                  <c cspan="7">
                     <hr/>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>1</sub></p>
                  </c>
                  <c ca="center">
                     <p>7.58 &#177; 0.05</p>
                  </c>
                  <c ca="center">
                     <p>0.33 &#177; 0.05</p>
                  </c>
                  <c ca="center">
                     <p>7.12 &#177; 0.03*</p>
                  </c>
                  <c ca="center">
                     <p>0.33 &#177; 0.05</p>
                  </c>
                  <c ca="center">
                     <p>6.43 &#177; 0.05*</p>
                  </c>
                  <c ca="center">
                     <p>0.32 &#177; 0.05</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>2</sub></p>
                  </c>
                  <c ca="center">
                     <p>7.63 &#177; 0.03</p>
                  </c>
                  <c ca="center">
                     <p>0.80 &#177; 0.08</p>
                  </c>
                  <c ca="center">
                     <p>7.09 &#177; 0.05*</p>
                  </c>
                  <c ca="center">
                     <p>0.74 &#177; 0.07</p>
                  </c>
                  <c ca="center">
                     <p>6.30 &#177; 0.06*</p>
                  </c>
                  <c ca="center">
                     <p>0.77 &#177; 0.08</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>3</sub></p>
                  </c>
                  <c ca="center">
                     <p>7.67 &#177; 0.05</p>
                  </c>
                  <c ca="center">
                     <p>0.39 &#177; 0.05</p>
                  </c>
                  <c ca="center">
                     <p>7.43 &#177; 0.04*</p>
                  </c>
                  <c ca="center">
                     <p>0.40 &#177; 0.04</p>
                  </c>
                  <c ca="center">
                     <p>6.85 &#177; 0.03*</p>
                  </c>
                  <c ca="center">
                     <p>0.37 &#177; 0.05</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>4</sub></p>
                  </c>
                  <c ca="center">
                     <p>7.69 &#177; 0.04</p>
                  </c>
                  <c ca="center">
                     <p>0.55 &#177; 0.04</p>
                  </c>
                  <c ca="center">
                     <p>7.17 &#177; 0.03*</p>
                  </c>
                  <c ca="center">
                     <p>0.54 &#177; 0.05</p>
                  </c>
                  <c ca="center">
                     <p>6.41 &#177; 0.05*</p>
                  </c>
                  <c ca="center">
                     <p>0.47 &#177; 0.04</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>5</sub></p>
                  </c>
                  <c ca="center">
                     <p>7.68 &#177; 0.03</p>
                  </c>
                  <c ca="center">
                     <p>0.33 &#177; 0.06</p>
                  </c>
                  <c ca="center">
                     <p>7.43 &#177; 0.02*</p>
                  </c>
                  <c ca="center">
                     <p>0.33 &#177; 0.03</p>
                  </c>
                  <c ca="center">
                     <p>6.64 &#177; 0.04*</p>
                  </c>
                  <c ca="center">
                     <p>0.34 &#177; 0.06</p>
                  </c>
               </r>
            </tblbdy>
            <tblfn>
               <p>Negative logarithms of equilibrium dissociation constants (pK<sub>D</sub>) and maximum binding capacities (B<sub>MAX </sub>in fmol/&#956;g of protein) of radioligands were obtained from saturation experiments shown in Figure 1 by fitting Eq. 1 to the data. Values are means &#177; SE of fits to 3 independent experiments performed in quadruplicates.</p>
               <p>*P &lt; 0.05; significantly different from control (radioligand alone) by ANOVA and Tukey-Kramer post-test.</p>
            </tblfn>
         </tbl>
         <p>Effects of 100 &#956;M rapacuronium on the rate of ([<sup>3</sup>H]NMS) dissociation were measured in membranes from CHO cell expressing individual subtypes of muscarinic receptors after 60 min preincubation with 1 nM [<sup>3</sup>H]NMS. Dissociation was evoked by addition of 10 &#956;M unlabeled NMS. Rapacuronium slowed dissociation of [<sup>3</sup>H]NMS from all subtypes of muscarinic ACh receptors (Figure <figr fid="F3">3</figr>, Table <tblr tid="T2">2</tblr>). This is an established hallmark of allosteric receptor modulation. It had the strongest effect at M<sub>2 </sub>receptors (7-fold decrease in rate of dissociation) and weakest effect at M<sub>3 </sub>and M<sub>5 </sub>receptors (40% decrease). While dissociation evoked by NMS was monophasic (Figure <figr fid="F3">3</figr> closed symbols) it became biphasic in the presence of 100 &#956;M rapacuronium with the exception of the M<sub>5 </sub>subtype.</p>
         <tbl id="T2">
            <title>
               <p>Table 2</p>
            </title>
            <caption>
               <p>Effects of rapacuronium on the rate of [<sup>3</sup>H]NMS dissociation.</p>
            </caption>
            <tblbdy cols="5">
               <r>
                  <c>
                     <p/>
                  </c>
                  <c ca="center">
                     <p>
                        <b>Control</b>
                     </p>
                  </c>
                  <c cspan="3" ca="center">
                     <p>
                        <b>+ 100 &#956;M rapacuronium</b>
                     </p>
                  </c>
               </r>
               <r>
                  <c>
                     <p/>
                  </c>
                  <c ca="center">
                     <p>
                        <b>k<sub>off </sub>[min<sup>-1</sup>]</b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>k<sub>off1 </sub>[min<sup>-1</sup>]</b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>f<sub>2 </sub>[%]</b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>k<sub>off2 </sub>[min<sup>-1</sup>]</b>
                     </p>
                  </c>
               </r>
               <r>
                  <c cspan="5">
                     <hr/>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>1</sub></p>
                  </c>
                  <c ca="center">
                     <p>0.063 &#177; 0.004</p>
                  </c>
                  <c ca="center">
                     <p>0.014 &#177; 0.001*</p>
                  </c>
                  <c ca="center">
                     <p>14 &#177; 3</p>
                  </c>
                  <c ca="center">
                     <p>0.34 &#177; 0.05</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>2</sub></p>
                  </c>
                  <c ca="center">
                     <p>0.18 &#177; 0.01</p>
                  </c>
                  <c ca="center">
                     <p>0.026 &#177; 0.002*</p>
                  </c>
                  <c ca="center">
                     <p>23 &#177; 5</p>
                  </c>
                  <c ca="center">
                     <p>0.76 &#177; 0.11</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>3</sub></p>
                  </c>
                  <c ca="center">
                     <p>0.048 &#177; 0.003</p>
                  </c>
                  <c ca="center">
                     <p>0.031 &#177; 0.002*</p>
                  </c>
                  <c ca="center">
                     <p>20 &#177; 4</p>
                  </c>
                  <c ca="center">
                     <p>0.058 &#177; 0.009</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>4</sub></p>
                  </c>
                  <c ca="center">
                     <p>0.041 &#177; 0.002</p>
                  </c>
                  <c ca="center">
                     <p>0.017 &#177; 0.001*</p>
                  </c>
                  <c ca="center">
                     <p>6.0 &#177; 2.0</p>
                  </c>
                  <c ca="center">
                     <p>0.75 &#177; 0.11</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>5</sub></p>
                  </c>
                  <c ca="center">
                     <p>0.013 &#177; 0.001</p>
                  </c>
                  <c ca="center">
                     <p>0.0078 &#177; 0.0004*</p>
                  </c>
                  <c>
                     <p/>
                  </c>
                  <c>
                     <p/>
                  </c>
               </r>
            </tblbdy>
            <tblfn>
               <p>Observed rates of [<sup>3</sup>H]NMS dissociation (k<sub>off</sub>, k<sub>off1 </sub>and k<sub>off2</sub>) and fraction of sites (f<sub>2</sub>) with faster dissociation (k<sub>off2</sub>) from individual subtypes of muscarinic receptors were obtained by fitting Eq. 7a and 7b to data in Figure 3. Results of better fit are shown. Values are means &#177; SE of fits to 3 independent experiments performed in quadruplicates. *P &lt; 0.05; significantly different from control ([<sup>3</sup>H]NMS alone) by t-test</p>
            </tblfn>
         </tbl>
         <fig id="F3">
            <title>
               <p>Figure 3</p>
            </title>
            <caption>
               <p>Effects of 100 &#956;M rapacuronium on dissociation of [<sup>3</sup>H]NMS binding</p>
            </caption>
            <text>
               <p><b>Effects of 100 &#956;M rapacuronium on dissociation of [<sup>3</sup>H]NMS binding</b>. Binding of [<sup>3</sup>H]NMS to membranes from CHO cells expressing individual subtypes of muscarinic receptors at different times after the addition of 10 &#956;M NMS (closed circles) or a mixture of 10 &#956;M NMS and 100 &#956;M rapacuronium (open circles). Specific binding is expressed as percent of binding at time 0. Data are means &#177; SE from 3 independent experiments performed in quadruplicates. Binding parameters are summarized in Table 2.</p>
            </text>
            <graphic file="1471-2210-9-15-3"/>
         </fig>
         <p>Displacement radioligand binding experiments with either 20 nM [<sup>3</sup>H]ACh (Figure <figr fid="F4">4</figr>) or 1 nM [<sup>3</sup>H]NMS (Figure <figr fid="F5">5</figr>, circles) and increasing concentrations of rapacuronium showed that rapacuronium binds equally well to all five muscarinic receptor subtypes. Equilibrium dissociation constants (pK<sub>A</sub>; Table <tblr tid="T3">3</tblr>) for rapacuronium derived from experiments with [<sup>3</sup>H]NMS and [<sup>3</sup>H]ACh were virtually the same with a rank order of affinity of M<sub>2</sub>>M<sub>4</sub>>M<sub>1</sub>>M<sub>5</sub>>M<sub>3 </sub>(range from 2.6-17.8 &#956;M). Rapacuronium displayed negative cooperativity with [<sup>3</sup>H]NMS in binding to all subtypes, as evidenced by a maximal limit to its effects on the affinity of the radioligand that differed as a function of radioligand concentration. These effects were strongest at the M<sub>5 </sub>subtype (35-fold decrease in affinity) and weakest at the M<sub>2 </sub>subtype (6.8-fold decrease in affinity; Figure <figr fid="F5">5</figr>, closed circles). While cooperativity of rapacuronium with high- (p&#945;) and low-affinity (p&#946;) ACh binding was essentially the same at individual subtypes (Table <tblr tid="T3">3</tblr>, row-wise comparison) it was slightly different among subtypes (e.g. 16-fold decrease in ACh low-affinity binding at M<sub>3 </sub>receptors vs. 36-times decrease at M<sub>4 </sub>receptors; Table <tblr tid="T3">3</tblr>, column-wise comparison).</p>
         <tbl id="T3">
            <title>
               <p>Table 3</p>
            </title>
            <caption>
               <p>Binding parameters of NMS, ACh and rapacuronium to membranes from CHO cells expressing M<sub>1 </sub>through M<sub>5 </sub>receptor subtypes.</p>
            </caption>
            <tblbdy cols="7">
               <r>
                  <c>
                     <p/>
                  </c>
                  <c cspan="2" ca="center">
                     <p>
                        <b>[<sup>3</sup>H]NMS</b>
                     </p>
                  </c>
                  <c cspan="2" ca="center">
                     <p>
                        <b>[<sup>3</sup>H]Ach</b>
                     </p>
                  </c>
                  <c cspan="2" ca="center">
                     <p>
                        <b>Ach</b>
                     </p>
                  </c>
               </r>
               <r>
                  <c>
                     <p/>
                  </c>
                  <c>
                     <p/>
                  </c>
                  <c>
                     <p/>
                  </c>
                  <c cspan="2" ca="center">
                     <p>
                        <b>high affinity binding</b>
                     </p>
                  </c>
                  <c cspan="2" ca="center">
                     <p>
                        <b>low affinity binding</b>
                     </p>
                  </c>
               </r>
               <r>
                  <c>
                     <p/>
                  </c>
                  <c ca="center">
                     <p>
                        <b>pK<sub>A</sub></b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>p&#945;</b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>pK<sub>A</sub></b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>p&#945;</b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>pK<sub>A</sub></b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>p&#946;</b>
                     </p>
                  </c>
               </r>
               <r>
                  <c cspan="7">
                     <hr/>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>1</sub></p>
                  </c>
                  <c ca="center">
                     <p>5.37 &#177; 0.03</p>
                  </c>
                  <c ca="center">
                     <p>-1.08 &#177; 0.05</p>
                  </c>
                  <c ca="center">
                     <p>5.37 &#177; 0.04</p>
                  </c>
                  <c ca="center">
                     <p>-1.30 &#177; 0.07</p>
                  </c>
                  <c ca="center">
                     <p>5.33 &#177; 0.03</p>
                  </c>
                  <c ca="center">
                     <p>-1.32 &#177; 0.06</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>2</sub></p>
                  </c>
                  <c ca="center">
                     <p>5.59 &#177; 0.03</p>
                  </c>
                  <c ca="center">
                     <p>-0.83 &#177; 0.07</p>
                  </c>
                  <c ca="center">
                     <p>5.55 &#177; 0.05</p>
                  </c>
                  <c ca="center">
                     <p>-1.46 &#177; 0.08</p>
                  </c>
                  <c ca="center">
                     <p>5.56 &#177; 0.04</p>
                  </c>
                  <c ca="center">
                     <p>-1.52 &#177; 0.06</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>3</sub></p>
                  </c>
                  <c ca="center">
                     <p>4.75 &#177; 0.04</p>
                  </c>
                  <c ca="center">
                     <p>-1.11 &#177; 0.05</p>
                  </c>
                  <c ca="center">
                     <p>4.80 &#177; 0.04</p>
                  </c>
                  <c ca="center">
                     <p>-1.26 &#177; 0.05</p>
                  </c>
                  <c ca="center">
                     <p>4.77 &#177; 0.05</p>
                  </c>
                  <c ca="center">
                     <p>-1.20 &#177; 0.07</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>4</sub></p>
                  </c>
                  <c ca="center">
                     <p>5.42 &#177; 0.04</p>
                  </c>
                  <c ca="center">
                     <p>-1.40 &#177; 0.04</p>
                  </c>
                  <c ca="center">
                     <p>5.41 &#177; 0.05</p>
                  </c>
                  <c ca="center">
                     <p>-1.51 &#177; 0.05</p>
                  </c>
                  <c ca="center">
                     <p>5.49 &#177; 0.04</p>
                  </c>
                  <c ca="center">
                     <p>-1.56 &#177; 0.07</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>5</sub></p>
                  </c>
                  <c ca="center">
                     <p>4.97 &#177; 0.04</p>
                  </c>
                  <c ca="center">
                     <p>-1.54 &#177; 0.05</p>
                  </c>
                  <c ca="center">
                     <p>4.92 &#177; 0.03</p>
                  </c>
                  <c ca="center">
                     <p>-1.34 &#177; 0.07</p>
                  </c>
                  <c ca="center">
                     <p>4.95 &#177; 0.04</p>
                  </c>
                  <c ca="center">
                     <p>-1.28 &#177; 0.07</p>
                  </c>
               </r>
            </tblbdy>
            <tblfn>
               <p>Negative logarithm of equilibrium dissociation constant of rapacuronium (pK<sub>A</sub>) and factor of cooperativity (&#945; ) between rapacuronium and radioligand ([<sup>3</sup>H]NMS or [<sup>3</sup>H]ACh, respectively) binding were obtained by fitting Eq. 3 to the data in Figures 4 and 5. Negative logarithm of equilibrium dissociation constant of rapacuronium (pK<sub>A</sub>) and factors of cooperativity (&#946;) between rapacuronium and acetylcholine low affinity binding were obtained by fitting Eq. 4 to the data in Figure 5. Factors of cooperativity &#945; and &#946; are expressed as negative logarithms so that negative values represent negative cooperativity. Values are means &#177; SE of fits to 3 independent experiments performed in quadruplicates.</p>
            </tblfn>
         </tbl>
         <fig id="F4">
            <title>
               <p>Figure 4</p>
            </title>
            <caption>
               <p>Effects of rapacuronium on high-affinity [<sup>3</sup>H]ACh binding</p>
            </caption>
            <text>
               <p><b>Effects of rapacuronium on high-affinity [<sup>3</sup>H]ACh binding</b>. Binding of 20 nM [<sup>3</sup>H]ACh to membranes from CHO cells expressing individual subtypes of muscarinic receptors (circles, M<sub>1</sub>; squares, M<sub>2</sub>; diamonds, M<sub>3</sub>; up-triangles, M<sub>4</sub>; down-triangles, M<sub>5</sub>) was determined in the presence of rapacuronium at the concentrations indicated on the x-axis and is expressed as percent of specific binding in the absence of rapacuronium. Data are means &#177; SE from 3 independent experiments performed in quadruplicates. Curves are fits of Eq. 3 to data. Binding parameters are summarized in Table 3.</p>
            </text>
            <graphic file="1471-2210-9-15-4"/>
         </fig>
         <fig id="F5">
            <title>
               <p>Figure 5</p>
            </title>
            <caption>
               <p>Effects of rapacuronium on low-affinity ACh binding and [<sup>3</sup>H]NMS binding</p>
            </caption>
            <text>
               <p><b>Effects of rapacuronium on low-affinity ACh binding and [<sup>3</sup>H]NMS binding</b>. Binding of 1 nM [<sup>3</sup>H]NMS to membranes from CHO cells expressing individual subtypes of muscarinic receptors was measured in the presence of rapacuronium at the concentrations indicated on the x-axis. Data are expressed as percent of specific binding in the absence of rapacuronium. Symbols represent binding of [<sup>3</sup>H]NMS (circles), and [<sup>3</sup>H]NMS in the presence of 10 &#956;M GTP&#947;S and 100 &#956;M (squares) or 200 &#956;M (triangles) ACh. Binding of [<sup>3</sup>H]NMS was decreased by 100 &#956;M ACh to 71, 64, 59, 60 and 56% and by 200 &#956;M ACh to 55, 47, 42, 43 and 39% at M<sub>1 </sub>to M<sub>5 </sub>receptors, respectively. Bigger divergence of curves denotes stronger negative cooperativity between ACh and rapacuronium binding. Data are means &#177; SE from 3 independent experiments performed in quadruplicates. Curves are fits of Eq. 3 (circles) and Eq. 4 (squares and triangles) to data prior to normalization. Binding parameters are summarized in Table 3.</p>
            </text>
            <graphic file="1471-2210-9-15-5"/>
         </fig>
         <p>Rapacuronium alone concentration dependently lowered [<sup>35</sup>S]GTP&#947;S binding to membranes (Figure <figr fid="F6">6</figr>, closed squares; Table <tblr tid="T4">4</tblr>) with a maximal effect of approximately 25% at odd-numbered subtypes and 15% at even-numbered subtypes, with similar half-effective concentrations (EC<sub>50</sub>) ranging from 28 &#956;M at M<sub>2 </sub>receptors to 76 &#956;M at M<sub>3 </sub>receptors. While the EC<sub>50 </sub>values of rapacuronium in inhibiting [<sup>35</sup>S]GTP&#947;S binding at individual subtypes correlated with affinities measured in binding experiments with [<sup>3</sup>H]ACh (R<sup>2 </sup>= 0.76) they were lower (4- to 12-fold) at all subtypes. We could not test the involvement of muscarinic receptors in the effects of rapacuronium on [<sup>35</sup>S]GTP&#947;S binding using orthosteric antagonists, since 10 &#956;M NMS or 10 &#956;M atropine by themselves decreased [<sup>35</sup>S]GTP&#947;S binding by more than 30% at all receptor subtypes. Inhibitory effects of rapacuronium were not additive to those of NMS or atropine (not shown). However, rapacuronium did not decrease [<sup>35</sup>S]GTP&#947;S binding in membranes from nontransfected CHO cells (Figure <figr fid="F6">6</figr>, bottom row right).</p>
         <tbl id="T4">
            <title>
               <p>Table 4</p>
            </title>
            <caption>
               <p>Direct effects of rapacuronium on [<sup>35</sup>S]GTP&#947;S binding</p>
            </caption>
            <tblbdy cols="6">
               <r>
                  <c>
                     <p/>
                  </c>
                  <c ca="center">
                     <p>
                        <b>M<sub>1</sub></b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>M<sub>2</sub></b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>M<sub>3</sub></b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>M<sub>4</sub></b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>M<sub>5</sub></b>
                     </p>
                  </c>
               </r>
               <r>
                  <c cspan="6">
                     <hr/>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>pEC<sub>50</sub></p>
                  </c>
                  <c ca="center">
                     <p>4.30 &#177; 0.04</p>
                  </c>
                  <c ca="center">
                     <p>4.55 &#177; 0.04</p>
                  </c>
                  <c ca="center">
                     <p>4.12 &#177; 0.03</p>
                  </c>
                  <c ca="center">
                     <p>4.44 &#177; 0.04</p>
                  </c>
                  <c ca="center">
                     <p>4.21 &#177; 0.04</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>E<sub>MAX</sub></p>
                  </c>
                  <c ca="center">
                     <p>0.76 &#177; 0.08</p>
                  </c>
                  <c ca="center">
                     <p>0.84 &#177; 0.06</p>
                  </c>
                  <c ca="center">
                     <p>0.75 &#177; 0.07</p>
                  </c>
                  <c ca="center">
                     <p>0.86 &#177; 0.06</p>
                  </c>
                  <c ca="center">
                     <p>0.75 &#177; 0.07</p>
                  </c>
               </r>
            </tblbdy>
            <tblfn>
               <p>Negative logarithms of half effective concentrations (pEC<sub>50</sub>) and E<sub>MAX </sub>of rapacuronium on [<sup>35</sup>S]GTP&#947;S binding were obtained by fitting Eq. 5 to the data from the measurements of [<sup>35</sup>S]GTP&#947;S binding in the presence of rapacuronium in concentrations ranging from 10<sup>-8 </sup>to 10<sup>-3 </sup>M normalized to the absence of rapacuronium (Figure 6, open squares). Values are means &#177; SE of fits to 3 independent experiments performed in quadruplicates.</p>
            </tblfn>
         </tbl>
         <fig id="F6">
            <title>
               <p>Figure 6</p>
            </title>
            <caption>
               <p>Effects of rapacuronium on ACh-induced [<sup>35</sup>S]GTP&#947;S binding to membranes</p>
            </caption>
            <text>
               <p><b>Effects of rapacuronium on ACh-induced [<sup>35</sup>S]GTP&#947;S binding to membranes</b>. Membranes from CHO cells expressing individual subtypes of muscarinic receptors or nontransfected CHO-K1 cells were preincubated for 60 min with buffer (closed symbols) or with rapacuronium (open symbols). [<sup>35</sup>S]GTP&#947;S binding was induced by rapacuronium alone (closed squares), ACh alone (closed circles), or by ACh in the presence of rapacuronium (0.1 &#956;M (open circles), 1 &#956;M (open squares), or 10 &#956;M (open triangles)). Data are expressed as fold increase of basal [<sup>35</sup>S]GTP&#947;S binding and are presented as means &#177; SE from 3 independent experiments performed in quadruplicates. Curves are fits of Eq. 5 to data. Parameters are summarized in Tables 4 and 5.</p>
            </text>
            <graphic file="1471-2210-9-15-6"/>
         </fig>
         <p>As expected, ACh concentration-dependently stimulated [<sup>35</sup>S]GTP&#947;S binding to membranes from cells expressing all individual subtypes of muscarinic receptors (Table <tblr tid="T4">4</tblr> and Figure <figr fid="F6">6</figr>, closed circles). The maximal effect of ACh (E<sub>MAX</sub>) was about two-fold increase in basal binding at odd-numbered receptors and three-fold increase at even-numbered receptors with a rank order of efficacy of M<sub>2</sub>>M<sub>4</sub>>M<sub>1</sub>>M<sub>5</sub>>M<sub>3 </sub>(range from 3.12 to 1.99-fold increase). In control conditions ACh EC<sub>50 </sub>values were lower at even-numbered subtypes than at odd-numbered subtypes with a rank order of potency of M<sub>2</sub>>M<sub>4</sub>>M<sub>3</sub>>M<sub>5</sub>>M<sub>1 </sub>(range from 0.25 to 6.31 &#956;M) (Table <tblr tid="T5">5</tblr>). While the EC<sub>50 </sub>of ACh-stimulated [<sup>35</sup>S]GTP&#947;S binding was less than that of its low-affinity binding conformation by 178-times at M<sub>2 </sub>and 23-times at M<sub>4 </sub>receptors it was only 7.4-, 5.4-, and 4.7-times lower at M<sub>1</sub>, M<sub>3</sub>, and M<sub>5 </sub>receptors, respectively. In comparison with its high-affinity binding, the EC<sub>50 </sub>of ACh-stimulated [<sup>35</sup>S]GTP&#947;S binding was only 10-times higher at M<sub>2 </sub>and 55-times at M<sub>4 </sub>receptors but 130-260- and 300-times higher at M<sub>1</sub>, M<sub>5 </sub>and M<sub>3 </sub>receptors, respectively. E<sub>MAX </sub>was about two-fold increase in basal binding at odd-numbered receptors and three-fold increase at even-numbered receptors with a rank order of efficacy of M<sub>2</sub>>M<sub>4</sub>>M<sub>1</sub>>M<sub>5</sub>>M<sub>3 </sub>(range from 3.12 to 1.99-fold increase) (Table <tblr tid="T5">5</tblr>).</p>
         <tbl id="T5">
            <title>
               <p>Table 5</p>
            </title>
            <caption>
               <p>Effects of rapacuronium on ACh-stimulated [<sup>35</sup>S]GTP&#947;S binding</p>
            </caption>
            <tblbdy cols="9">
               <r>
                  <c>
                     <p/>
                  </c>
                  <c cspan="2" ca="center">
                     <p>
                        <b>Acetylcholine</b>
                     </p>
                  </c>
                  <c cspan="2" ca="center">
                     <p>
                        <b>+ 0.1 &#956;M rapacuronium</b>
                     </p>
                  </c>
                  <c cspan="2" ca="center">
                     <p>
                        <b>+ 1 &#956;M rapacuronium</b>
                     </p>
                  </c>
                  <c cspan="2" ca="center">
                     <p>
                        <b>+ 10 &#956;M rapacuronium</b>
                     </p>
                  </c>
               </r>
               <r>
                  <c>
                     <p/>
                  </c>
                  <c ca="center">
                     <p>
                        <b>pEC<sub>50</sub></b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>E<sub>MAX</sub></b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>pEC<sub>50</sub></b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>E<sub>MAX</sub></b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>pEC<sub>50</sub></b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>E<sub>MAX</sub></b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>pEC<sub>50</sub></b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>E<sub>MAX</sub></b>
                     </p>
                  </c>
               </r>
               <r>
                  <c cspan="9">
                     <hr/>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>1</sub></p>
                  </c>
                  <c ca="center">
                     <p>5.20 &#177; 0.05</p>
                  </c>
                  <c ca="center">
                     <p>2.23 &#177; 0.08</p>
                  </c>
                  <c ca="center">
                     <p>5.41 &#177; 0.04*</p>
                  </c>
                  <c ca="center">
                     <p>2.35 &#177; 0.12</p>
                  </c>
                  <c ca="center">
                     <p>5.78 &#177; 0.04*</p>
                  </c>
                  <c ca="center">
                     <p>2.28 &#177; 0.12</p>
                  </c>
                  <c ca="center">
                     <p>5.22 &#177; 0.05</p>
                  </c>
                  <c ca="center">
                     <p>2.27 &#177; 0.11</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>2</sub></p>
                  </c>
                  <c ca="center">
                     <p>6.61 &#177; 0.03</p>
                  </c>
                  <c ca="center">
                     <p>3.12 &#177; 0.12</p>
                  </c>
                  <c ca="center">
                     <p>6.65 &#177; 0.03</p>
                  </c>
                  <c ca="center">
                     <p>3.10 &#177; 0.15</p>
                  </c>
                  <c ca="center">
                     <p>5.92 &#177; 0.05*</p>
                  </c>
                  <c ca="center">
                     <p>2.93 &#177; 0.13</p>
                  </c>
                  <c ca="center">
                     <p>5.67 &#177; 0.07*</p>
                  </c>
                  <c ca="center">
                     <p>2.46 &#177; 0.18*</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>3</sub></p>
                  </c>
                  <c ca="center">
                     <p>5.31 &#177; 0.05</p>
                  </c>
                  <c ca="center">
                     <p>2.12 &#177; 0.08</p>
                  </c>
                  <c ca="center">
                     <p>5.65 &#177; 0.04*</p>
                  </c>
                  <c ca="center">
                     <p>2.78 &#177; 0.11*</p>
                  </c>
                  <c ca="center">
                     <p>5.66 &#177; 0.04*</p>
                  </c>
                  <c ca="center">
                     <p>2.52 &#177; 0.08*</p>
                  </c>
                  <c ca="center">
                     <p>4.83 &#177; 0.05*</p>
                  </c>
                  <c ca="center">
                     <p>2.12 &#177; 0.09</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>4</sub></p>
                  </c>
                  <c ca="center">
                     <p>5.95 &#177; 0.04</p>
                  </c>
                  <c ca="center">
                     <p>2.93 &#177; 0.15</p>
                  </c>
                  <c ca="center">
                     <p>5.93 &#177; 0.04</p>
                  </c>
                  <c ca="center">
                     <p>2.95 &#177; 0.11</p>
                  </c>
                  <c ca="center">
                     <p>5.59 &#177; 0.05*</p>
                  </c>
                  <c ca="center">
                     <p>2.80 &#177; 0.12</p>
                  </c>
                  <c ca="center">
                     <p>5.12 &#177; 0.05*</p>
                  </c>
                  <c ca="center">
                     <p>2.32 &#177; 0.16*</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>5</sub></p>
                  </c>
                  <c ca="center">
                     <p>5.26 &#177; 0.05</p>
                  </c>
                  <c ca="center">
                     <p>1.99 &#177; 0.08</p>
                  </c>
                  <c ca="center">
                     <p>5.45 &#177; 0.04*</p>
                  </c>
                  <c ca="center">
                     <p>2.10 &#177; 0.09</p>
                  </c>
                  <c ca="center">
                     <p>5.82 &#177; 0.04*</p>
                  </c>
                  <c ca="center">
                     <p>2.04 &#177; 0.09</p>
                  </c>
                  <c ca="center">
                     <p>5.29 &#177; 0.05</p>
                  </c>
                  <c ca="center">
                     <p>2.22 &#177; 0.09</p>
                  </c>
               </r>
            </tblbdy>
            <tblfn>
               <p>Negative logarithms of half effective concentrations (pEC<sub>50</sub>) and maximum stimulatory effect (E<sub>MAX</sub>) of acetylcholine on [<sup>35</sup>S]GTP&#947;S binding in the absence or presence of the indicated concentrations of rapacuronium were obtained by fitting Eq. 5 to the data in Figure 6. Values are means &#177; SE of fits to 3 independent experiments performed in quadruplicates. *P &lt; 0.05; significantly different from control (Ach alone) by ANOVA and Tukey-Kramer post-test.</p>
            </tblfn>
         </tbl>
         <p>Measurements of ACh-stimulated [<sup>35</sup>S]GTP&#947;S binding in the presence of 0.1, 1 and 10 &#956;M rapacuronium showed differential effects of rapacuronium on receptor activation by an orthosteric agonist at individual receptor subtypes (Figure <figr fid="F6">6</figr> open symbols). At even-numbered subtypes 1 &#956;M and 10 &#956;M rapacuronium significantly increased ACh EC<sub>50</sub>, with lowering of E<sub>MAX </sub>at 10 &#956;M rapacuronium. These results are in line with the effects of rapacuronium on ACh binding. In contrast, the effects of rapacuronium on activation of odd-numbered subtypes were more complex. At these subtypes rapacuronium had the strongest effect on activation of the M<sub>3 </sub>subtype. At this subtype 0.1 and 1 &#956;M rapacuronium caused a significant 2-fold decrease in ACh EC<sub>50 </sub>and approximately 60% and 35% increase in E<sub>MAX</sub>, respectively. Rapacuronium at 10 &#956;M increased ACh EC<sub>50 </sub>by about 3-fold without a significant change in E<sub>MAX</sub>. Rapacuronium (0.1 - 10 &#956;M) had no effect on ACh efficacy at the M<sub>1 </sub>and M<sub>5 </sub>subtypes but decreased the EC<sub>50 </sub>of ACh in stimulating [<sup>35</sup>S]GTP&#947;S binding by 1.5- and 4-fold, respectively, at concentrations of 0.1 and 1 &#956;M. However, this effect was not evident at 10 &#956;M rapacuronium (Figure <figr fid="F6">6</figr>).</p>
         <p>Kinetics of [<sup>35</sup>S]GTP&#947;S binding to membranes from CHO-M<sub>3 </sub>cells (where rapacuronium has the most pronounced effects) were measured after 5 min preincubation with 5 &#956;M GDP and 60 min with 1 &#956;M rapacuronium followed by simultaneous addition of [<sup>35</sup>S]GTP&#947;S and ACh, with or without rapacuronium (Figure <figr fid="F7">7</figr>). Under basal conditions ([<sup>35</sup>S]GTP&#947;S + buffer, Figure <figr fid="F7">7</figr>, closed circles) [<sup>35</sup>S]GTP&#947;S bound to membranes with an observed rate constant (k<sub>obs</sub>) of 0.0269 &#177; 0.0022 min<sup>-1</sup>. Ten &#956;M ACh accelerated the rate of [<sup>35</sup>S]GTP&#947;S binding to 0.0583 &#177; 0.047 min<sup>-1 </sup>(Figure <figr fid="F7">7</figr>, closed squares) and 1 &#956;M rapacuronium further increased the rate to 0.166 &#177; 0.013 min<sup>-1 </sup>(Figure <figr fid="F7">7</figr>, open squares). While 10 &#956;M ACh alone produced only 2-fold increase in [<sup>35</sup>S]GTP&#947;S binding at 5 min incubation it caused nearly 5-fold increase in the presence of 1 &#956;M rapacuronium. Estimated [<sup>35</sup>S]GTP&#947;S equilibrium binding (B<sub>eq</sub>) was the same for all 3 treatments (10,000 &#177; 300, 10,100 &#177; 100, and 9,980 &#177; 120 cpm per well for basal, ACh and ACh with rapacuronium, respectively; mean &#177; SE, n = 3). Rapacuronium alone slightly decreased the rate of [<sup>35</sup>S]GTP&#947;S binding (Figure <figr fid="F7">7</figr>, open circles).</p>
         <fig id="F7">
            <title>
               <p>Figure 7</p>
            </title>
            <caption>
               <p>Effects of rapacuronium on kinetics of [<sup>35</sup>S]GTP&#947;S binding</p>
            </caption>
            <text>
               <p><b>Effects of rapacuronium on kinetics of [<sup>35</sup>S]GTP&#947;S binding</b>. Membranes were preincubated for 60 min in the presence (open symbols) or absence (closed symbols) of 1 &#956;M rapacuronium. Then [<sup>35</sup>S]GTP&#947;S was added simultaneously with buffer (circles) or 10 &#956;M ACh (squares). Incubations were terminated at the times indicated on the x-axis. The increase of specific [<sup>35</sup>S]GTP&#947;S binding is expressed as fmol per &#956;g of protein (left) and as fold increase of specific binding under basal conditions (right). Data are means &#177; SE of values from 3 independent experiments performed in quadruplicates.</p>
            </text>
            <graphic file="1471-2210-9-15-7"/>
         </fig>
         <p>Effects of rapacuronium on the association rate of high-affinity (40 nM) [<sup>3</sup>H]ACh binding were measured after 60 min preincubation of membranes with rapacuronium. Association of [<sup>3</sup>H]ACh is complex and consists of an initial very fast step in the range of seconds followed by a slower phase (Figure <figr fid="F8">8</figr>, first time point is 5 s). Under control conditions (Figure <figr fid="F8">8</figr>, closed circles) the slower phase of [<sup>3</sup>H]ACh association was characterized by an observed rate (k<sub>obs</sub>) in the range of 1.43 (M<sub>3</sub>) to 3.5 (M<sub>5</sub>) min<sup>-1</sup>. While the presence of 1 &#956;M rapacuronium had marginal effects on [<sup>3</sup>H]ACh association (Figure <figr fid="F8">8</figr>, open circles) the association binding curve became more complex and showed a peak in the presence of 10 &#956;M rapacuronium (Figure <figr fid="F8">8</figr>, hatched circles). This peak occurred at 15 to 20 seconds at odd-numbered receptors and at 30 to 50 seconds at the M<sub>4 </sub>and around 90 seconds at the M<sub>2 </sub>receptor. Peak binding was higher than control binding at odd-numbered receptors, the same as control binding at M<sub>4 </sub>and lower than control binding at M<sub>2 </sub>receptor. An increase in [<sup>3</sup>H]ACh binding after extended incubation (hours) occurred at M<sub>3</sub>, M<sub>4</sub>, and M<sub>5 </sub>receptors.</p>
         <fig id="F8">
            <title>
               <p>Figure 8</p>
            </title>
            <caption>
               <p>Effects of rapacuronium on [<sup>3</sup>H]ACh association</p>
            </caption>
            <text>
               <p><b>Effects of rapacuronium on [<sup>3</sup>H]ACh association</b>. Membranes from CHO cells expressing individual subtypes of muscarinic receptors were preincubated 60 min with buffer (closed circles) or 1 &#956;M (open circles) or 10 &#956;M (hatched circles) rapacuronium and then [<sup>3</sup>H]ACh was added to a final concentration of 40 nM at time 0. Incubations were terminated at the times indicated on the x-axis. Specific [<sup>3</sup>H]ACh binding is expressed as fmol per mg of proteins. Data are means &#177; SE of values from 3 independent experiments performed in quadruplicates. Binding parameters are shown in Table 6.</p>
            </text>
            <graphic file="1471-2210-9-15-8"/>
         </fig>
         <p>Effects of 10 &#956;M rapacuronium on the dissociation rate of high-affinity [<sup>3</sup>H]ACh binding were measured after 60 min preincubation of membranes with 40 nM [<sup>3</sup>H]ACh. Dissociation was evoked by the addition of unlabeled ACh at a final concentration of 40 &#956;M, either alone or mixed with 10 &#956;M rapacuronium (Figure <figr fid="F9">9</figr>, Table <tblr tid="T6">6</tblr>). [<sup>3</sup>H]ACh dissociation curves consisted of a very rapid phase followed by a slow one, both in the absence (Figure <figr fid="F9">9</figr>, closed circles) and in the presence (Figure <figr fid="F9">9</figr>, open and hatched circles) of rapacuronium. The slower phase of [<sup>3</sup>H]ACh dissociation displayed a rate (k<sub>off</sub>) in the range of 0.112 (M<sub>5</sub>) to 0.507 (M<sub>2</sub>) min<sup>-1 </sup>(Figure <figr fid="F9">9</figr>, closed circles). While effects of 1 &#956;M rapacuronium on [<sup>3</sup>H]ACh dissociation were marginal, 10 &#956;M rapacuronium either accelerated (odd-numbered), did not change (M<sub>4</sub>) or slowed (M<sub>2</sub>) the rate of [<sup>3</sup>H]ACh dissociation (Figure <figr fid="F9">9</figr>, hatched circles).</p>
         <tbl id="T6">
            <title>
               <p>Table 6</p>
            </title>
            <caption>
               <p>Effects of rapacuronium on the rate of [<sup>3</sup>H]ACh association and dissociation</p>
            </caption>
            <tblbdy cols="4">
               <r>
                  <c>
                     <p/>
                  </c>
                  <c cspan="2" ca="center">
                     <p>
                        <b>40 nM [<sup>3</sup>H]ACh</b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>+ 10 &#956;M rapacuronium</b>
                     </p>
                  </c>
               </r>
               <r>
                  <c>
                     <p/>
                  </c>
                  <c ca="center">
                     <p>
                        <b>k<sub>obs </sub>[min<sup>-1</sup>]</b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>k<sub>off </sub>[min<sup>-1</sup>]</b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>k<sub>off </sub>[min<sup>-1</sup>]</b>
                     </p>
                  </c>
               </r>
               <r>
                  <c cspan="4">
                     <hr/>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>1</sub></p>
                  </c>
                  <c ca="center">
                     <p>2.74 &#177; 0.25</p>
                  </c>
                  <c ca="center">
                     <p>0.294 &#177; 0.015</p>
                  </c>
                  <c ca="center">
                     <p>0.917 &#177; 0.046*</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>2</sub></p>
                  </c>
                  <c ca="center">
                     <p>1.58 &#177; 0.14</p>
                  </c>
                  <c ca="center">
                     <p>0.507 &#177; 0.025</p>
                  </c>
                  <c ca="center">
                     <p>0.245 &#177; 0.012*</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>3</sub></p>
                  </c>
                  <c ca="center">
                     <p>1.43 &#177; 0.13</p>
                  </c>
                  <c ca="center">
                     <p>0.226 &#177; 0.011</p>
                  </c>
                  <c ca="center">
                     <p>0.923 &#177; 0.046*</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>4</sub></p>
                  </c>
                  <c ca="center">
                     <p>2.01 &#177; 0.18</p>
                  </c>
                  <c ca="center">
                     <p>0.373 &#177; 0.019</p>
                  </c>
                  <c ca="center">
                     <p>0.355 &#177; 0.018</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>M<sub>5</sub></p>
                  </c>
                  <c ca="center">
                     <p>3.50 &#177; 0.31</p>
                  </c>
                  <c ca="center">
                     <p>0.112 &#177; 0.006</p>
                  </c>
                  <c ca="center">
                     <p>0.378 &#177; 0.019*</p>
                  </c>
               </r>
            </tblbdy>
            <tblfn>
               <p>Observed rates of association (k<sub>obs</sub>) of 40 nM [<sup>3</sup>H]ACh with and dissociation (k<sub>off</sub>) from individual subtypes of muscarinic receptors were obtained by fitting Eq. 6 to data in Figure 8 and Eq. 7c to data in Figure 9. Values are means &#177; SE of fits to 3 independent experiments performed in quadruplicates. *P &lt; 0.05; significantly different from control ([<sup>3</sup>H]ACh alone) by t-test.</p>
            </tblfn>
         </tbl>
         <fig id="F9">
            <title>
               <p>Figure 9</p>
            </title>
            <caption>
               <p>Effect of rapacuronium on the time course of [<sup>3</sup>H]ACh dissociation</p>
            </caption>
            <text>
               <p><b>Effect of rapacuronium on the time course of [<sup>3</sup>H]ACh dissociation</b>. Membranes from CHO cells expressing individual subtypes of muscarinic receptors were prelabeled with 40 nM [<sup>3</sup>H]ACh for 60 min. At time zero 40 &#956;M unlabeled ACh was added alone (closed circles) or as a mixture with 1 &#956;M rapacuronium (open circles) or 10 &#956;M rapacuronium (hatched circles). Incubations were terminated at the times indicated on the x-axis. Specific [<sup>3</sup>H]ACh binding is expressed as percent of specific binding at time 0 on x-axis. Data are means &#177; SE of values from 3 independent experiments performed in quadruplicates. Binding parameters are shown in Table 6.</p>
            </text>
            <graphic file="1471-2210-9-15-9"/>
         </fig>
         <p>The effects of rapacuronium and the two prototypic allosteric modulators alcuronium and gallamine on ACh-stimulated [<sup>35</sup>S]GTP&#947;S binding and kinetics of [<sup>3</sup>H]ACh binding were compared at M<sub>3 </sub>receptors where the effects of rapacuronium were most pronounced. Measurements of ACh-stimulated [<sup>35</sup>S]GTP&#947;S binding in the presence of 1 and 10 &#956;M alcuronium or 1 and 10 &#956;M gallamine, showed a small concentration-dependent increase in the EC<sub>50 </sub>of ACh without change in E<sub>MAX </sub>values (Figure <figr fid="F10">10</figr>, Table <tblr tid="T7">7</tblr>). Both alcuronium and gallamine concentration dependently slowed [<sup>35</sup>S]GTP&#947;S association stimulated by 10 &#956;M ACh. At 10 &#956;M concentrations they also decreased [<sup>35</sup>S]GTP&#947;S equilibrium binding (Figure <figr fid="F10">10</figr>, Table <tblr tid="T7">7</tblr>). Alcuronium and gallamine slowed down association of 40 nM [<sup>3</sup>H]ACh and decreased its equilibrium binding at M<sub>3 </sub>receptors (Figure <figr fid="F10">10</figr>, Table <tblr tid="T7">7</tblr>).</p>
         <tbl id="T7">
            <title>
               <p>Table 7</p>
            </title>
            <caption>
               <p>Effects of alcuronium and gallamine on ACh-stimulated [<sup>35</sup>S]GTP&#947;S binding at M<sub>3 </sub>receptors.</p>
            </caption>
            <tblbdy cols="7">
               <r>
                  <c>
                     <p/>
                  </c>
                  <c cspan="3" ca="left">
                     <p>
                        <b>40 nM [<sup>3</sup>H]ACh binding</b>
                     </p>
                  </c>
                  <c cspan="3" ca="left">
                     <p>
                        <b>[<sup>35</sup>S]GTP&#947;S binding</b>
                     </p>
                  </c>
               </r>
               <r>
                  <c>
                     <p/>
                  </c>
                  <c ca="center">
                     <p>
                        <b>k<sub>obs </sub>[min<sup>-1</sup>]</b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>B<sub>eq </sub>[fmol/mg prot.]</b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>k<sub>obs </sub>[min<sup>-1</sup>]</b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>B<sub>eq </sub>[fmol/&#956;g prot.]</b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>pEC<sub>50</sub></b>
                     </p>
                  </c>
                  <c ca="center">
                     <p>
                        <b>E<sub>MAX </sub>[fold over basal]</b>
                     </p>
                  </c>
               </r>
               <r>
                  <c cspan="7">
                     <hr/>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>Control</p>
                  </c>
                  <c ca="center">
                     <p>1.28 &#177; 0.06</p>
                  </c>
                  <c ca="center">
                     <p>357 &#177; 17</p>
                  </c>
                  <c ca="center">
                     <p>0.0579 &#177; 0.0013</p>
                  </c>
                  <c ca="center">
                     <p>530 &#177; 37</p>
                  </c>
                  <c ca="center">
                     <p>5.18 &#177; 0.03</p>
                  </c>
                  <c ca="center">
                     <p>2.94 &#177; 0.12</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>+ 1 &#956;M alcuronium</p>
                  </c>
                  <c ca="center">
                     <p>1.00 &#177; 0.02*</p>
                  </c>
                  <c ca="center">
                     <p>262 &#177; 10*</p>
                  </c>
                  <c ca="center">
                     <p>0. 0509 &#177; 0.0017*</p>
                  </c>
                  <c ca="center">
                     <p>496 &#177; 33</p>
                  </c>
                  <c ca="center">
                     <p>5.03 &#177; 0.02*</p>
                  </c>
                  <c ca="center">
                     <p>2.90 &#177; 0.14</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>+ 10 &#956;M alcuronium</p>
                  </c>
                  <c ca="center">
                     <p>0.888 &#177; 0.012*</p>
                  </c>
                  <c ca="center">
                     <p>199 &#177; 12*</p>
                  </c>
                  <c ca="center">
                     <p>0.0481 &#177; 0.0021*</p>
                  </c>
                  <c ca="center">
                     <p>428 &#177; 39*</p>
                  </c>
                  <c ca="center">
                     <p>4.82 &#177; 0.02*</p>
                  </c>
                  <c ca="center">
                     <p>2.87 &#177; 0.12</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>+ 1 &#956;M gallamine</p>
                  </c>
                  <c ca="center">
                     <p>1.06 &#177; 0.02*</p>
                  </c>
                  <c ca="center">
                     <p>246 &#177; 10*</p>
                  </c>
                  <c ca="center">
                     <p>0.0525 &#177; 0.0015*</p>
                  </c>
                  <c ca="center">
                     <p>479 &#177; 29</p>
                  </c>
                  <c ca="center">
                     <p>5.01 &#177; 0.04*</p>
                  </c>
                  <c ca="center">
                     <p>2.83 &#177; 0.12</p>
                  </c>
               </r>
               <r>
                  <c ca="center">
                     <p>+ 10 &#956;M gallamine</p>
                  </c>
                  <c ca="center">
                     <p>0.783 &#177; 0.009*</p>
                  </c>
                  <c ca="center">
                     <p>191 &#177; 8*</p>
                  </c>
                  <c ca="center">
                     <p>0.0492 &#177; 0.0015*</p>
                  </c>
                  <c ca="center">
                     <p>442 &#177; 27*</p>
                  </c>
                  <c ca="center">
                     <p>4.82 &#177; 0.01*</p>
                  </c>
                  <c ca="center">
                     <p>2.73 &#177; 0.15</p>
                  </c>
               </r>
            </tblbdy>
            <tblfn>
               <p>Values of observed rates of association (k<sub>obs</sub>) and equilibrium binding (B<sub>eq</sub>) of 40 nM [<sup>3</sup>H]ACh with M<sub>3 </sub>receptors were obtained by fitting Eq. 6 to data in Figure 10 (top). Values of k<sub>obs </sub>and B<sub>eq </sub>of 200 pM [<sup>35</sup>S]GTP&#947;S with M<sub>3 </sub>receptors were obtained by fitting Eq. 6 to data in Figure 10 (middle). Negative logarithms of half effective concentrations (pEC<sub>50</sub>) and maximum stimulatory effect (E<sub>MAX</sub>) of acetylcholine on [<sup>35</sup>S]GTP&#947;S binding in the absence or presence of the indicated concentrations of alcuronium or gallamine were obtained by fitting Eq. 5 to the data in Figure 10 (bottom). Values are means &#177; SE of fits to 3 to 6 independent experiments performed in quadruplicates. *P &lt; 0.05; significantly different from control (ACh alone) by ANOVA and Tukey-Kramer post-test.</p>
            </tblfn>
         </tbl>
         <fig id="F10">
            <title>
               <p>Figure 10</p>
            </title>
            <caption>
               <p>Effects of alcuronium and gallamine on [<sup>3</sup>H]ACh binding and ACh-stimulated [<sup>35</sup>S]GTP&#947;S binding to M<sub>3 </sub>membranes</p>
            </caption>
            <text>
               <p><b>Effects of alcuronium and gallamine on [<sup>3</sup>H]ACh binding and ACh-stimulated [<sup>35</sup>S]GTP&#947;S binding to M<sub>3 </sub>membranes</b>. Effects of the reference allosteric modulators alcuronium (left) and gallamine (right) on kinetics of [<sup>3</sup>H]ACh binding (top) and ACh-stimulated [<sup>35</sup>S]GTP&#947;S binding (middle) and concentration response of [<sup>35</sup>S]GTP&#947;S binding to ACh stimulation (bottom) at M<sub>3 </sub>receptors were measured after preincubation of membranes for 60 min with buffer (closed circles) or with 1 &#956;M (open squares) or 10 &#956;M (open triangles) rapacuronium. Then either [<sup>3</sup>H]ACh (top) or [<sup>35</sup>S]GTP&#947;S simultaneously with 10 &#956;M ACh (middle and bottom) was added. Incubation was terminated at the times indicated on the x-axis (top and middle) or after 20 min (bottom). Binding is expressed as fmol per &#956;g of protein of specific [<sup>3</sup>H]ACh (top) or [<sup>35</sup>S]GTP&#947;S (middle) binding or as fold increase of basal [<sup>35</sup>S]GTP&#947;S binding (bottom). Data are means &#177; SE from 3 to 6 independent experiments performed in quadruplicates. Parameters are summarized in Table 7.</p>
            </text>
            <graphic file="1471-2210-9-15-10"/>
         </fig>
      </sec>
      <sec>
         <st>
            <p>Discussion</p>
         </st>
         <p>Our results clearly demonstrate that the neuromuscular blocker rapacuronium binds to all muscarinic receptor subtypes at physiologically relevant concentrations <abbrgrp><abbr bid="B18">18</abbr></abbrgrp> and displays micromolar affinity and slight selectivity towards M<sub>2 </sub>receptor. This selectivity is smaller than that of other neuromuscular blockers such as alcuronium, gallamine and pancuronium [23, 24, Jakub&#237;k, unpublished data]. Like the majority of this class of compounds, rapacuronium acts as a negative allosteric modulator (alters dissociation kinetics and incompletely inhibits binding of orthosteric ligands) with respect to binding of both the natural agonist ACh (Figures <figr fid="F1">1</figr>, <figr fid="F4">4</figr>, <figr fid="F5">5</figr>, <figr fid="F8">8</figr> and <figr fid="F9">9</figr>) and the classical antagonist NMS (Figures <figr fid="F1">1</figr>, <figr fid="F3">3</figr>, and <figr fid="F5">5</figr>). Rapacuronium exhibits complex effects on the kinetics of ACh binding (Figures <figr fid="F8">8</figr> and <figr fid="F9">9</figr>) and subsequent receptor activation estimated from stimulation of [<sup>35</sup>S]GTP&#947;S binding (Figures <figr fid="F6">6</figr> and <figr fid="F7">7</figr>). Functional effects differ from those of the prototypic negative allosteric modulators alcuronium and gallamine (Figure <figr fid="F10">10</figr>, Table <tblr tid="T7">7</tblr>).</p>
         <p>Our observation of an allosteric mode of interaction between rapacuronium and muscarinic receptors is in agreement with reported slowing-down of NMS dissociation from M<sub>2 </sub>and M<sub>3 </sub>receptors by this drug <abbrgrp><abbr bid="B19">19</abbr></abbrgrp>. The observed biphasic dissociation of NMS under non-equilibrium conditions in the presence of an allosteric modulator such as rapacuronium was described earlier <abbrgrp><abbr bid="B24">24</abbr></abbrgrp>.</p>
         <sec>
            <st>
               <p>Inverse receptor agonism by rapacuronium</p>
            </st>
            <p>Rapacuronium alone decreases [<sup>35</sup>S]GTP&#947;S binding. This effect is mediated by muscarinic receptors because it is not observed in membranes prepared from a native CHO cell line that does not express muscarinic receptors and thus cannot be explained by nonspecific effects on cell membranes. Instead, this effect can be related to an inverse agonistic effect of rapacuronium itself on constitutive receptor activity. This view is supported by previous demonstration of constitutive activity of muscarinic receptors <abbrgrp><abbr bid="B25">25</abbr><abbr bid="B26">26</abbr></abbrgrp> and by finding that the orthosteric antagonists NMS and atropine also decrease [<sup>35</sup>S]GTP&#947;S binding when applied alone <abbrgrp><abbr bid="B22">22</abbr><abbr bid="B27">27</abbr></abbrgrp>. In addition, both agonistic and inverse agonistic effects of allosteric modulators have already been observed <abbrgrp><abbr bid="B27">27</abbr><abbr bid="B28">28</abbr></abbrgrp>.</p>
         </sec>
         <sec>
            <st>
               <p>Allosteric modulation of receptor activation by rapacuronium</p>
            </st>
            <p>Both [<sup>3</sup>H]ACh saturation binding experiments (Figure <figr fid="F1">1</figr>) and ACh vs. [<sup>3</sup>H]NMS competition experiments (Figure <figr fid="F2">2</figr>) show ACh high affinity binding in the nanomolar range without selectivity towards any of muscarinic receptor subtypes. The affinities of ACh at M<sub>2 </sub>and M<sub>4 </sub>receptors reported in this study are within the range of published values, being lower than those published by Lazareno et al. <abbrgrp><abbr bid="B11">11</abbr></abbrgrp> but higher than the values reported by Haga et al. <abbrgrp><abbr bid="B29">29</abbr></abbrgrp> or Gurwitz et al. <abbrgrp><abbr bid="B30">30</abbr></abbrgrp>. This divergence is likely due to the dependence of the affinity of acetylcholine at its high-affinity site on many factors (e.g. receptor source, preparation, concentration of ions (mainly Mg<sup>2+</sup>, Na<sup>+</sup>), residual concentration of GDP, temperature, etc.). Similarly, we found no subtype differences in ACh low affinity binding, which is in accordance with our previous studies <abbrgrp><abbr bid="B21">21</abbr></abbrgrp>. Despite lack of binding selectivity, the potency and efficacy of ACh in stimulating [<sup>35</sup>S]GTP&#947;S binding are significantly higher at even-numbered than at odd-numbered subtypes. In other words, the M<sub>2 </sub>and M<sub>4 </sub>subtypes that preferentially couple with G<sub>i/o </sub>G-proteins display better coupling and larger receptor reserve than the M<sub>1</sub>, M<sub>3</sub>, and M<sub>5 </sub>subtypes that preferentially couple with G<sub>q/11 </sub>G-proteins. Despite accumulating evidence for the existence of agonist-specific conformations of muscarinic and other G-protein-coupled receptors <abbrgrp><abbr bid="B31">31</abbr><abbr bid="B32">32</abbr><abbr bid="B33">33</abbr></abbrgrp> it is generally accepted that the change in agonist potency in receptor activation follows a change in the affinity of its binding induced by an allosteric modulator. Thus, negative cooperativity between the allosteric modulator and the binding of an orthosteric agonist would lead to lower potency of agonist (e.g. pioneering experiments with gallamine of Clark and Mitchelson <abbrgrp><abbr bid="B12">12</abbr></abbrgrp>) and positive cooperativity would result in higher potency of agonist <abbrgrp><abbr bid="B11">11</abbr><abbr bid="B34">34</abbr></abbrgrp>. Rapacuronium behaves in accordance with this view in case of the M<sub>2 </sub>and M<sub>4 </sub>subtypes. However, at the M<sub>1</sub>, M<sub>3 </sub>and M<sub>5 </sub>receptor subtypes, rapacuronium up to a concentration of 10 &#956;M either increases or does not alter ACh potency or efficacy in inducing [<sup>35</sup>S]GTP&#947;S binding (Figure <figr fid="F6">6</figr>), despite clear negative cooperativity with ACh binding (Figures <figr fid="F4">4</figr> and <figr fid="F5">5</figr>). Although this observation may appear surprising at first glance it is perfectly in agreement with the hypothesis of multiple receptor conformations induced by orthosteric and allosteric ligands, and with the existence of conformations that exhibit low affinity for agonist binding but nevertheless activate second messenger pathways <abbrgrp><abbr bid="B26">26</abbr><abbr bid="B31">31</abbr><abbr bid="B35">35</abbr><abbr bid="B36">36</abbr></abbrgrp>.</p>
         </sec>
         <sec>
            <st>
               <p>Kinetics of functional response</p>
            </st>
            <p>Analysis of the kinetics of [<sup>35</sup>S]GTP&#947;S binding shows that the facilitatory effects of rapacuronium on ACh-induced responses are evident after brief incubations (lasting minutes, Figure <figr fid="F7">7</figr>). This suggests that the facilitating effects of rapacuronium on ACh-induced response are a consequence of altered receptor kinetics rather than a change in agonist affinity at equilibrium. Extended time of incubation during which binding of ligands equilibrates may thus obscure the initial transient potentiation. Analysis of kinetics of ACh binding (Figures <figr fid="F8">8</figr> and <figr fid="F9">9</figr>) showed that rapacuronium affects ACh kinetics differently than those of NMS. While rapacuronium slows down NMS association and dissociation at all receptor subtypes (Figure <figr fid="F3">3</figr>) it accelerates ACh association and dissociation at odd-numbered subtypes (Figures <figr fid="F8">8</figr> and <figr fid="F9">9</figr>). Thus, rapacuronium doubles the magnitude of ACh binding at 15 seconds at these receptors such that association after 15 seconds is twice as much in the presence of rapacuronium. This effect, however, is counterbalanced by accelerated dissociation, resulting in an overall decrease in ACh affinity (negative cooperativity). Although combination of negative binding cooperativity on the one hand and acceleration of binding on the other could in principle be interpreted within the frame of the ternary receptor model. However, data of association and dissociation of ACh in the absence of rapacuronium do not conform to a simple bi-molecular interaction. As a result, the interaction between ACh and rapacuronium at muscarinic receptors is more complex and may involve allosteric extension of the tandem two-site model <abbrgrp><abbr bid="B37">37</abbr><abbr bid="B38">38</abbr></abbrgrp>. Theoretically, this extension of the model allows for coexistence of positive cooperativity between rapacuronium and the initial step of ACh binding and overall negative binding cooperativity under equilibrium. An enigmatic feature of our data, however, is that low concentrations of rapacuronium (0.1 and 1 &#956;M) that do not affect the the rate of binding of ACh or its affinity at equilibrium at odd numbered subtypes leads to an increase in both potency and efficacy of ACh in receptor activation. Theoreticaly, allosteric extension of tandem two-site model allows for positive cooperativity between rapacuronium and ACh initial binding step in overall negative binding cooperativity under equilibrium and transient binding of these sub-threshold concentrations. However, these concentrations of rapacuronium had no effect on ACh association in binding experiments (Figure <figr fid="F8">8</figr>, open circles). One possible explanation is that ACh bound to a peripheral site (of tandem two-site binding) is lost during filtration but is well reflected and amplified in GTP&#947;S binding that is pseudo-irreversible. A more speculative explanation assumes that rapacuronium at sub-micromolar concentrations binds to another site on the receptor and facilitates receptor activation by ACh without significant interference with radioligand binding. This facilitatory effect is overcome at high concentrations of rapacuronium by negative cooperativity in binding of ACh induced by binding of rapacuronium to an allosteric binding site. A latent further increase in ACh binding after 5 min in the presence of 10 &#956;M rapacuronium (Figure <figr fid="F8">8</figr>, hatched circles) suggests an even more complex mechanism of interaction of rapacuronium wih the receptor.</p>
            <p>Modeling of such complex kinetics would require a model even more sophisticated than ternary extension of the tandem-two site model <abbrgrp><abbr bid="B38">38</abbr></abbrgrp>. Additionally, differential effects of low concentrations of rapacuronium (1 &#956;M and lower) on receptor binding and function would require inclusion of receptor activation (probably with several ligand-specific activation states) in the model and therefore renders modeling unachievable.</p>
            <p>Comparison of the effects of rapacuronium with those of the prototypic allosteric modulators alcuronium and gallamine (Figures eleven and twelve) on M<sub>3 </sub>receptors shows that acceleration of ACh kinetics is unique to rapacuronium among negative allosteric modulators. To our knowledge this is the first report of acceleration of binding of an orthosteric ligand by a negative allosteric modulator. This highlights unpredictability of kinetics of allosteric modulation based on compounds with similar behavior observed under equilibrium.</p>
         </sec>
         <sec>
            <st>
               <p>Physiological implications</p>
            </st>
            <p>Our observations are consistent with functional ex vivo and in vivo physiological experiments demonstrating an increase of acetylcholine-evoked muscle contraction of guinea pig trachea rings by rapacuronium <abbrgrp><abbr bid="B18">18</abbr><abbr bid="B19">19</abbr><abbr bid="B20">20</abbr></abbrgrp>. Although they confirm proposed allostetic interaction between rapacuronium and ACh <abbrgrp><abbr bid="B19">19</abbr></abbrgrp> they do not conform to the proposed positive binding cooperativity at the M<sub>3 </sub>receptor subtype. Although rapacuronium at concentrations below 10 &#956;M binds to and decreases the affinity of acetylcholine at equilibrium at all subtypes of muscarinic receptors, it accelerates association of ACh and enhances its potency and efficacy in functional responses at the M<sub>3 </sub>receptor as evident from [<sup>35</sup>S]GTP&#947;S binding. The initial acceleration of the rate of association of ACh would potentiate fast responses such as bronchial smooth muscle contractions mediated by transient actions of acetylcholine at M<sub>3 </sub>receptors <abbrgrp><abbr bid="B16">16</abbr></abbrgrp>. In contrast, rapacuronium at clinically relevant concentrations strongly reduces the affinity of binding of ACh and also its potency and efficacy in activating M<sub>2 </sub>receptors. This pattern of effects should lead to an increase in ACh release by interrupting its M<sub>2 </sub>receptor-mediated presynaptic autoinhibition <abbrgrp><abbr bid="B17">17</abbr></abbrgrp> and to the inhibition of postsynaptic M<sub>2 </sub>receptor-mediated muscle relaxation. In contrast, the decrease of ACh affinity at the M<sub>2 </sub>and M<sub>4 </sub>subtypes is accompanied by a decrease in both potency and efficacy of stimulating [<sup>35</sup>S]GTP&#947;S binding. The synergistic effects of negative functional modulation of pre- and postsynaptic M<sub>2 </sub>receptors and positive functional modulation of postsynaptic M<sub>3 </sub>receptors can explain the fatal bronchospasm caused by rapacuronium in human.</p>
         </sec>
      </sec>
      <sec>
         <st>
            <p>Conclusions</p>
         </st>
         <p>Although rapacuronium exerts negative cooperativity with binding of ACh to all muscarinic receptor subtypes at equilibrium it accelerates the rate of ACh binding at odd numbered subtypes. At concentrations below 10 &#956;M, it increases the potency and efficacy of ACh in increasing the rate of [<sup>35</sup>S]GTP&#947;S binding at odd-numbered subtypes. The time between acetylcholine release and termination of its action by acetylcholinesterase is in the range of a fraction of a second. Therefore, the effects of allosteric modulators in the early non-equilibrium stage of receptor signaling are therapeutically more important than effects on acetylcholine equilibrium binding, as the latter conditions do not occur in vivo. Our study demonstrates a case of dichotomous effects of the allosteric modulator rapacuronium on ACh equilibrium binding on the one hand and on the kinetics of ACh binding on the other. Our observations emphasize the necessity to employ fast functional assays in screening for potential allosteric modulators of neurotransmission that much better simulate physiological conditions than long-lasting equilibrium binding experiments.</p>
      </sec>
      <sec>
         <st>
            <p>Methods</p>
         </st>
         <sec>
            <st>
               <p>Materials</p>
            </st>
            <p>The radioligands [<sup>3</sup>H]-N-methylscopolamine chloride ([<sup>3</sup>H]NMS) and guanosine-5'-&#947;[<sup>35</sup>S]thiotrisphosphate ([<sup>35</sup>S]GTP&#947;S) were from Amersham (UK), [methyl-<sup>3</sup>H]acetylcholine iodide ([<sup>3</sup>H]ACh) was from ARC (St. Louis, MO). Carbachol, dithiotreitol, gallamine triethiodide (TLC >98%), guanosine-5'-bis-phosphate (GDP), guanosine-5'-&#947;S-thiotrisphosphate (GTP&#947;S), and N-methylscopolamine chloride (NMS) were from Sigma (St. Louis, MO). Rapacuronium (Organon, West Range, NJ) was kindly provided by Prof. Emala, Columbia University, New York, NY. Alcuronium was kindly provided by F. Hoffmann-la Roche Ltd., Basle, Switzerland. CHO cells stably expressing individual subtypes of muscarinic receptors were provided by Dr. T.I. Bonner (National Institutes of Health, Bethesda, MD).</p>
         </sec>
         <sec>
            <st>
               <p>Cell culture and membrane preparation</p>
            </st>
            <p>Chinese hamster ovary cells stably transfected with the human M<sub>1 </sub>to M<sub>5 </sub>muscarinic receptor genes were grown to confluence in 75 cm<sup>2 </sup>flasks in Dulbecco's modified Eagle's medium supplemented with 10% fetal bovine serum and 2 million cells were subcultured to 100 mm Petri dishes. Medium was supplemented with 5 mM butyrate for last 24 hours of cultivation. Cells were detached by mild trypsinization on day 5 after subculture. Detached cells were washed twice in 50 ml of phosphate-buffered saline and 3 min centrifugation at 250 &#215; g. Washed cells were diluted in ice cold homogenization medium (100 mM NaCl, 20 mM Na-HEPES, 10 mM EDTA; pH = 7.4) and homogenized on ice by two 30 s strokes using Polytron homogenizer (Ultra-Turrax; Janke &amp; Kunkel GmbH &amp; Co. KG, IKA-Labortechnik, Staufen, Germany) with a 30 s pause between strokes. Cell homogenates were centrifuged for 30 min at 30,000 &#215; g. Supernatants were discarded, pellets resuspended in fresh incubation medium (100 mM NaCl, 20 mM Na-HEPES, 10 mM MgCl<sub>2</sub>; pH = 7.4) and centrifuged again. Resulting membrane pellets were kept at -20&#176;C until assayed, for 10 weeks at maximum.</p>
         </sec>
         <sec>
            <st>
               <p>Radioligand binding</p>
            </st>
            <p>All radioligand binding experiments were carried out on membranes in 96-well plates at 30&#176;C in the incubation medium described above supplemented with freshly prepared dithiothreitol at a final concentration of 1 mM, essentially as described by Jakub&#237;k et al. <abbrgrp><abbr bid="B23">23</abbr></abbrgrp>. Membranes at concentrations 4, 50 and 100 &#956;g of protein per well were used for [<sup>35</sup>S]GTP&#947;S, [<sup>3</sup>H]NMS and [<sup>3</sup>H]ACh binding, respectively. Final volume was 200 &#956;l, except for [<sup>3</sup>H]NMS saturation binding that was done in 0.8 ml volume. High affinity acetylcholine and NMS binding was measured directly using [<sup>3</sup>H]ACh and [<sup>3</sup>H]NMS, respectively. Low affinity acetylcholine binding to muscarinic receptors was determined by the ability of unlabeled ACh to decrease binding of 1 nM [<sup>3</sup>H]NMS in the presence of 10 &#956;M GTP&#947;S. Nonspecific binding was determined in the presence of 10 &#956;M NMS. Incubation with [<sup>3</sup>H]ACh or [<sup>3</sup>H]NMS lasted 60 min and was terminated by fast filtration and washing with ice cold water through Whatman GF/F glass-fiber filters (Whatman) using a Tomtech Mach III cell harvester (Perkin Elmer, USA). Filtration and washing lasted 4 s for [<sup>3</sup>H]ACh and 9 s for [<sup>3</sup>H]NMS (wash-aspirate button times). Six concentrations of [<sup>3</sup>H]NMS were used in saturation experiments (68 pM to 2000 pM [<sup>3</sup>H]NMS in the absence of rapacuronium and 189 pM to 5000 pM [<sup>3</sup>H]NMS in its presence). Corresponding concentrations of [<sup>3</sup>H]ACh were 3.4 nM to 100 nM [<sup>3</sup>H]ACh in the absence of paracuronium and 7 nM to 200 nM [<sup>3</sup>H]ACh in its presence. Effects of rapacuronium on acetylcholine high affinity binding was measured as a change in [<sup>3</sup>H]acetylcholine binding after 60 min prelabeling with 20 nM [<sup>3</sup>H]ACh followed by addition of rapacuronium and incubation for additional 3 hours. Effects of rapacuronium on ACh low affinity binding was determined as a change in [<sup>3</sup>H]NMS binding in the presence of 10 &#956;M GTP&#947;S after 60 min prelabeling of membranes with 1 nM [<sup>3</sup>H]NMS followed by addition of ACh with or without rapacuronium and additional 3 hours of incubation. Effects of rapacuronium on [<sup>3</sup>H]ACh association was measured after 60 min preincubation with 10 &#956;M rapacuronium. When kinetics of association were measured Bio-Tek &#956;Fill (Bio-Tek Instruments, Winooski, VT) was programmed for addition of hot ligand at appropriate times before filtration. Effects of rapacuronium on dissociation of [<sup>3</sup>H]NMS or [<sup>3</sup>H]ACh binding was measured by addition of 10 or 100 &#956;M rapacuronium to a mixture with unlabeled ligand (10 &#956;M NMS or 40 &#956;M ACh) to initiate dissociation.</p>
            <p>For determination of [<sup>35</sup>S]GTP&#947;S binding to G-proteins in membranes a final concentration of 200 pM (M<sub>1</sub>, M<sub>3 </sub>and M<sub>5 </sub>receptors) or 500 pM (M<sub>2 </sub>and M<sub>4 </sub>receptors) of [<sup>35</sup>S]GTP&#947;S was used. Incubation medium was supplemented with 5 &#956;M (M<sub>1</sub>, M<sub>3 </sub>and M<sub>5 </sub>receptors) or 50 &#956;M (M<sub>2 </sub>and M<sub>4 </sub>receptors) GDP. Nonspecific binding was determined in the presence of 1 &#956;M unlabeled GTP&#947;S. When effects of rapacuronium on ACh-stimulated [<sup>35</sup>S]GTP&#947;S binding was measured rapacuronium was added to membranes 60 min prior to ACh and [<sup>35</sup>S]GTP&#947;S. Incubation with [<sup>35</sup>S]GTP&#947;S was carried out for 20 min and free ligand was removed by filtration as described above. Filtration and washing with ice-cold water lasted for 9 s (wash-aspirate button time).</p>
            <p>After filtration filters were dried in vacuum for 1 h while heated at 80&#176;C and then solid scintillator Meltilex A was melted on filters (105&#176;C, 90 s) using a hot plate. After cooling the filters were counted using a Wallac Microbeta scintillation counter.</p>
         </sec>
         <sec>
            <st>
               <p>Data analysis</p>
            </st>
            <p>In general binding data were analyzed as described in Jakub&#237;k et al. <abbrgrp><abbr bid="B21">21</abbr></abbrgrp>. Data were preprocessed by Open Office 3.0 <url>http://www.openoffice.org</url> and subsequently analyzed by Grace 5.1.18 <url>http://plazma-gate.weizman.ac.il/</url> and statistics package R <url>http://www.r-project.org</url> on Mandriva distribution of Linux.</p>
            <p>The following equations were fitted to data:</p>
            <p>Saturation of radioligand binding</p>
            <p>
               <display-formula id="M1">
                  <graphic file="1471-2210-9-15-i1.gif"/>
               </display-formula>
            </p>
            <p>y, binding of radioligand ([<sup>3</sup>H]NMS or [<sup>3</sup>H]acetylcholine) at free radioligand (after correction for depletion) concentration x; B<sub>MAX</sub>, maximum binding capacity; K<sub>D</sub>, equilibrium dissociation constant.</p>
            <p>Competition with [<sup>3</sup>H]NMS binding</p>
            <p>
               <display-formula id="M2">
                  <graphic file="1471-2210-9-15-i2.gif"/>
               </display-formula>
            </p>
            <p>y, binding of [<sup>3</sup>H]NMS at a concentration of displacer x normalized to binding in the absence of displacer; IC<sub>50</sub>, concentration causing 50% decrease in binding.</p>
            <p>Equilibrium dissociation constant of displacer (K<sub>i</sub>) was calculated according Cheng and Prusoff <abbrgrp><abbr bid="B39">39</abbr></abbrgrp>.</p>
            <p>Allosteric interaction between rapacuronium and [<sup>3</sup>H]NMS or [<sup>3</sup>H]acetylcholine high affinity binding</p>
            <p>
               <display-formula id="M3">
                  <graphic file="1471-2210-9-15-i3.gif"/>
               </display-formula>
            </p>
            <p>y, binding of radioligand ([<sup>3</sup>H]NMS or [<sup>3</sup>H]acetylcholine) in the presence of rapacuronium at concentration x normalized to the absence of rapacuronium; [L] concentration of radioligand; K<sub>D</sub>, equilibrium dissociation constant of radioligand; K<sub>A</sub>; equilibrium dissociation constant of rapacuronium; &#945;, factor of cooperativity between radioligand and rapacuronium <abbrgrp><abbr bid="B40">40</abbr></abbrgrp>. Cooperativity factor greater than 1 denotes negative cooperativity and less than 1 positive cooperativity. Due to its log-normal error distribution factors of cooperativity are expressed as negative logarithms (p&#945;) through the manuscript so negative values denotes negative cooperativity and positive value denotes positive cooperativity.</p>
            <p>Allosteric interaction between rapacuronium and acetylcholine low affinity binding</p>
            <p>
               <display-formula id="M4">
                  <graphic file="1471-2210-9-15-i4.gif"/>
               </display-formula>
            </p>
            <p>y, binding of [<sup>3</sup>H]NMS in the presence of rapacuronium at concentration x normalized to the absence of rapacuronium; [N] concentration of [<sup>3</sup>H]NMS; K<sub>D</sub>, equilibrium dissociation constant of [<sup>3</sup>H]NMS; [A], concentration of acetylcholine; K<sub>I</sub>, equilibrium dissociation constant form Eq. 2; K<sub>A</sub>; equilibrium dissociation constant of rapacuronium from Eq. 3; &#945;, factor of cooperativity between [<sup>3</sup>H]NMS and rapacuronium from Eq. 3; &#946;, factor of cooperativity between rapacuronium and acetylcholine <abbrgrp><abbr bid="B21">21</abbr></abbrgrp>.</p>
            <p>Concentration-response</p>
            <p>
               <display-formula id="M5">
                  <graphic file="1471-2210-9-15-i5.gif"/>
               </display-formula>
            </p>
            <p>y, radioactivity in the presence of agonist at concentration x normalized to radioactivity in the absence of agonist; E<sub>MAX</sub>, maximal increase by agonist; EC<sub>50</sub>, concentration of agonist producing 50% of maximal effect; nH, Hill coefficient.</p>
            <p>Time course of association</p>
            <p>
               <display-formula id="M6">
                  <graphic file="1471-2210-9-15-i6.gif"/>
               </display-formula>
            </p>
            <p>y, radioligand binding at time x; k<sub>obs</sub>, observed rate of association; equilibrium binding B<sub>eq </sub>= Bottom + Span.</p>
            <p>Time course of dissociation</p>
            <p>
               <display-formula id="M7a">
                  <graphic file="1471-2210-9-15-i7.gif"/>
               </display-formula>
            </p>
            <p>or</p>
            <p>
               <display-formula id="M7b">
                  <graphic file="1471-2210-9-15-i8.gif"/>
               </display-formula>
            </p>
            <p>or</p>
            <p>
               <display-formula id="M7c">
                  <graphic file="1471-2210-9-15-i9.gif"/>
               </display-formula>
            </p>
            <p>y, radioligand binding at time x normalized to binding at time 0; k<sub>off1 </sub>and k<sub>off2</sub>, dissociation rate constants; f<sub>2</sub>, fraction of binding site with dissociation rate constant k<sub>off2</sub>. When both Eq. 7a and 7b were fitted to data the better fit was chosen based on sum of squares F-test and runs test.</p>
            <p>For fitting parameter estimates close to one expected were entered manually, parameters were constrained to reasonable range, the tolerance value was set to 0.01 and iteration steps to 30. Initial values of slope factors were always 1 constrained to 0.8 to 1.2 range.</p>
         </sec>
      </sec>
      <sec>
         <st>
            <p>List of abbreviations</p>
         </st>
         <p>Ach: acetylcholine; ANOVA: analysis of variance; CHO: Chinese hamster ovary; GTP&#947;S: guanosine 5'-O-(3-thio)triphosphate; NMS: N-methylscopolamine; TCM: ternary complex model.</p>
      </sec>
      <sec>
         <st>
            <p>Authors' contributions</p>
         </st>
         <p>JJ carried out [<sup>3</sup>H]ACh and [<sup>3</sup>H]NMS binding studies and performed statistical analysis. AR carried out [<sup>35</sup>S]GTP&#947;S binding studies. All authors participated in experimental design and draft manuscript. All authors read and approved final manuscript.</p>
      </sec>
      <sec>
         <st>
            <p>Authors' information</p>
         </st>
         <p><b>JJ </b>is scientist, <b>AR </b>PhD student and <b>VD </b>head of Department of Neurochenistry. <b>EEE </b>is Professor at the University of Minnesota Medical School. <b>JJ</b>, <b>VD </b>and <b>EEE </b>have decades-long experience in the research of muscarinic receptors and neurochemistry.</p>
      </sec>
   </bdy>
   <bm>
      <ack>
         <sec>
            <st>
               <p>Acknowledgements</p>
            </st>
            <p>This work was supported by Project AV0Z 50110509, the grants of the Grant Agency of the Czech Republic 305/09/0681, the Grant Agency of the Czech Academy of Sciences IAA500110703, and the Ministry of Education, Youth and Sports, Czech Republic LC554. We thank Prof. Emala (Columbia Uni., NY) for providing us with rapacuronium.</p>
         </sec>
      </ack>
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