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<art>
   <ui>gb-2008-9-12-r180</ui>
   <ji>GBJ</ji>
   <fm>
      <dochead>Method</dochead>
      <bibl>
         <title>
            <p>Singular value decomposition-based regression identifies activation of endogenous signaling pathways <it>in vivo</it></p>
         </title>
         <aug>
            <au id="A1">
               <snm>Liu</snm>
               <fnm>Zhandong</fnm>
               <insr iid="I1"/>
               <insr iid="I2"/>
               <email>zhandong@mail.med.upenn.edu</email>
            </au>
            <au id="A2">
               <snm>Wang</snm>
               <fnm>Min</fnm>
               <insr iid="I1"/>
               <email>minwang@mail.med.upenn.edu</email>
            </au>
            <au id="A3">
               <snm>Alvarez</snm>
               <mi>V</mi>
               <fnm>James</fnm>
               <insr iid="I1"/>
               <email>alvarez2@mail.med.upenn.edu</email>
            </au>
            <au id="A4">
               <snm>Bonney</snm>
               <mi>E</mi>
               <fnm>Megan</fnm>
               <insr iid="I1"/>
               <email>megan.bonney122@gmail.com</email>
            </au>
            <au id="A5">
               <snm>Chen</snm>
               <fnm>Chien-chung</fnm>
               <insr iid="I1"/>
               <email>chiench@mail.med.upenn.edu</email>
            </au>
            <au id="A6">
               <snm>D'Cruz</snm>
               <fnm>Celina</fnm>
               <insr iid="I1"/>
               <email>dcruzc@mail.med.upenn.edu</email>
            </au>
            <au id="A7">
               <snm>Pan</snm>
               <fnm>Tien-chi</fnm>
               <insr iid="I1"/>
               <email>tcpan@mail.med.upenn.edu</email>
            </au>
            <au id="A8">
               <snm>Tadesse</snm>
               <mi>G</mi>
               <fnm>Mahlet</fnm>
               <insr iid="I3"/>
               <email>mgt26@georgetown.edu</email>
            </au>
            <au id="A9" ca="yes">
               <snm>Chodosh</snm>
               <mi>A</mi>
               <fnm>Lewis</fnm>
               <insr iid="I1"/>
               <insr iid="I2"/>
               <email>chodosh@mail.med.upenn.edu</email>
            </au>
         </aug>
         <insg>
            <ins id="I1">
               <p>Department of Cancer Biology, Abramson Family Cancer Research Institute, University of Pennsylvania, 421 Curie Blvd, BRB II/III 616, Philadelphia, PA 19104, USA</p>
            </ins>
            <ins id="I2">
               <p>Genomics and Computational Biology Graduate Group, University of Pennsylvania School of Medicine, 423 Guardian Drive, Philadelphia, PA 19104, USA</p>
            </ins>
            <ins id="I3">
               <p>Department of Mathematics, Georgetown University, 2115 G Street NW, Washington, DC 20057, USA</p>
            </ins>
         </insg>
         <source>Genome Biology</source>
         <issn>1465-6906</issn>
         <pubdate>2008</pubdate>
         <volume>9</volume>
         <issue>12</issue>
         <fpage>R180</fpage>
         <url>http://genomebiology.com/2008/9/12/R180</url>
         <xrefbib>
            <pubidlist>
               <pubid idtype="pmpid">19094238</pubid>
               <pubid idtype="doi">10.1186/gb-2008-9-12-r180</pubid>
            </pubidlist>
         </xrefbib>
      </bibl>
      <history>
         <rec>
            <date>
               <day>23</day>
               <month>10</month>
               <year>2008</year>
            </date>
         </rec>
         <acc>
            <date>
               <day>18</day>
               <month>12</month>
               <year>2008</year>
            </date>
         </acc>
         <pub>
            <date>
               <day>18</day>
               <month>12</month>
               <year>2008</year>
            </date>
         </pub>
      </history>
      <cpyrt>
         <year>2008</year>
         <collab>Liu 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>
      <shorttitle>
         <p>SVD regression to study cross-talk</p>
      </shorttitle>
      <shortabs>
         <p>Singular value decomposition regression can detect the activation of endogenous signaling pathways, allowing the identification of pathway cross-talk.</p>
      </shortabs>
      <abs>
         <sec>
            <st>
               <p>Abstract</p>
            </st>
            <p>The ability to detect activation of signaling pathways based solely on gene expression data represents an important goal in biological research. We tested the sensitivity of singular value decomposition-based regression by focusing on functional interactions between the Ras and transforming growth factor beta signaling pathways. Our findings demonstrate that this approach is sufficiently sensitive to detect the secondary activation of endogenous signaling pathways as it occurs through crosstalk following ectopic activation of a primary pathway.</p>
         </sec>
      </abs>
   </fm>
   <meta>
      <classifications>
         <classification type="BMC" subtype="man_spc_id" id="30010002">Bioinformatics</classification>
         <classification type="BMC" subtype="man_spc_id" id="30010004">Cell biology</classification>
      </classifications>
   </meta>
   <bdy>
      <sec>
         <st>
            <p>Background</p>
         </st>
         <p>Tumors arise following the accumulation of a diverse set of genetic aberrations within a single cell <abbrgrp><abbr bid="B1">1</abbr></abbrgrp>. This heterogeneity makes prognostic and therapeutic decisions difficult, as tumors arising from the same tissue type may harbor activation of distinct oncogenic pathways <abbrgrp><abbr bid="B2">2</abbr><abbr bid="B3">3</abbr></abbrgrp>. As a consequence, tumors that are histologically similar may follow strikingly different clinical courses and respond differently to conventional and targeted therapies <abbrgrp><abbr bid="B4">4</abbr><abbr bid="B5">5</abbr><abbr bid="B6">6</abbr></abbrgrp>. Indeed, as molecularly targeted therapies increasingly enter the clinic, identifying the spectrum of oncogenic pathways activated within a given tumor will become even more critical for selecting effective therapeutic approaches.</p>
         <p>Currently, the clinical detection of oncogenic pathway activation is most commonly performed using methods that analyze pathway activation at the protein level, such as immunohistochemistry to detect oncogene overexpression, or at the DNA level to detect oncogene amplification, with techniques such as fluorescence <it>in situ </it>hybridization (FISH) and quantitative PCR. For example, expression of human epidermal growth factor receptor 2 (HER2) and estrogen receptor are routinely assessed to guide treatment selection in breast cancer <abbrgrp><abbr bid="B7">7</abbr><abbr bid="B8">8</abbr></abbrgrp>. Unfortunately, many commonly activated oncogenic pathways do not lend themselves to this type of analysis. This is, in part, due to the fact that most pathways can be activated at multiple points in the pathway <abbrgrp><abbr bid="B3">3</abbr></abbrgrp>, thereby complicating attempts to assess a pathway's overall activation status. Consequently, a more robust and generalizable method for detecting oncogenic pathway activation in tumors would be valuable.</p>
         <p>To date, a number of methods have been developed to infer pathway activation from gene expression data. These approaches have the advantage of being applicable to multiple pathways simultaneously and of requiring only one technological modality. For example, gene set enrichment analysis (GSEA) has been used to detect pathway activation by comparing the extent of enrichment of a signature for a given pathway between two groups of samples <abbrgrp><abbr bid="B9">9</abbr></abbrgrp>. Using this approach, Sweet-Cordero <it>et al</it>. <abbrgrp><abbr bid="B10">10</abbr></abbrgrp> detected a K-Ras expression signature in human lung adenocarcinomas bearing K-Ras mutations.</p>
         <p>However, GSEA has several limitations. First, it cannot provide a quantitative measure of pathway activation. More importantly, since GSEA relies on a comparison between two groups, it cannot be used to identify the state of pathway activation for individual samples. This represents a major limitation, since separating a sample set into two groups for the purposes of comparison requires prior knowledge of some relevant feature of the samples. Consequently, GSEA is most useful for identifying pathways that are enriched in samples with a known clinical parameter, such as a particular tumor subtype. In contrast, GSEA is not well suited for identifying or comparing pathway activity levels within a group of samples. Other enrichment analysis methods, such as gene set analysis <abbrgrp><abbr bid="B11">11</abbr></abbrgrp>, share these shortcomings.</p>
         <p>An alternative approach to detecting pathway activation is singular value decomposition-based Bayesian binary regression (SVD regression) <abbrgrp><abbr bid="B7">7</abbr><abbr bid="B12">12</abbr></abbrgrp>. In this approach, the gene expression patterns of two training sample sets (for example, pathway 'on' and pathway 'off') are compared and differentially regulated genes are linearly combined into principal components, thereby reducing the dimensionality of the feature space. Binary regression on the principal components is then applied to an unknown test sample, resulting in a probability score describing the likelihood of pathway activation in that sample. This approach has several advantages. First, the output is, at least in theory, a quantitative measure of pathway activity. Furthermore, SVD regression can be applied to a single sample and does not require dividing the testing samples into two groups based upon <it>a priori </it>knowledge. Finally, the use of reduced-dimension features and orthogonal components reduces problems involving co-linearity during regression analysis. For these reasons, SVD regression holds promise as a mathematical tool for predicting pathway activity.</p>
         <p>To date, SVD regression has been used to detect activation of dominant oncogenic signaling pathways, such as Myc or Ras, in MMTV-Myc and MMTV-Ras driven mouse breast cancer models, respectively <abbrgrp><abbr bid="B4">4</abbr><abbr bid="B5">5</abbr><abbr bid="B12">12</abbr></abbrgrp>. In these contexts, SVD regression was shown to be capable of detecting activation of the pathway that was experimentally perturbed. While such experiments provided proof-of-principle that SVD regression can detect pathway activation, the critical question of whether SVD regression is sensitive enough to detect activation of endogenous pathways has not been fully addressed.</p>
         <p>SVD regression has also been used to predict pathway activity in human samples <abbrgrp><abbr bid="B4">4</abbr><abbr bid="B5">5</abbr></abbrgrp>. For example, Bild <it>et al</it>. <abbrgrp><abbr bid="B4">4</abbr></abbrgrp> were able to predict the activation status of five distinct oncogenic pathways (Myc, Ras, E2F, Src, and &#946;-catenin) in primary lung cancers and to correlate these activities with patient survival. Unfortunately, validation of the sensitivity and specificity of this approach is limited by the difficulty in confirming predictions made on human samples, as material for biochemical analysis is often unavailable. Thus, the accuracy of predictions made using SVD regression in these studies remains undetermined.</p>
         <p>We reasoned that SVD regression might be a powerful means of detecting endogenous pathway activation, allowing for the discovery of new biological relationships between signaling pathways. To evaluate this possibility, we addressed whether SVD regression is sufficiently sensitive to detect secondary activation of an endogenous pathway in a model amenable to experimental manipulation and validation. Specifically, we focused on the relationship between the Ras and transforming growth factor beta (TGF&#946;) signaling pathways. Although a number of studies have documented crosstalk between these pathways, a coherent model explaining their interaction has remained elusive, and there exists no consensus on the direction or underlying mechanism of this crosstalk, nor on how these pathways interact during epithelial cell transformation.</p>
         <p>In non-transformed cells, the Ras and TGF&#946; pathways exert largely antagonistic effects: Ras can inhibit TGF&#946;-induced growth suppression by inhibiting Smad nuclear translocation <abbrgrp><abbr bid="B13">13</abbr></abbrgrp>, while TGF&#946; can potently inhibit cell proliferation induced by mitogenic factors, such as epidermal growth factor, that signal through Ras <abbrgrp><abbr bid="B14">14</abbr></abbrgrp>. In contrast, Ras and TGF&#946; appear to cooperate in transformed cells to promote aspects of tumor progression, including epithelial-to-mesenchymal transition, invasion, and metastasis <abbrgrp><abbr bid="B15">15</abbr><abbr bid="B16">16</abbr><abbr bid="B17">17</abbr></abbrgrp>. As such, crosstalk between the Ras and TGF&#946; pathways is complex, may occur at multiple nodes within each pathway, and is likely to be dependent upon cellular context.</p>
         <p>To detect crosstalk between the Ras and TGF&#946; pathways using computational approaches, we generated gene expression signatures that allow for the quantitative prediction of TGF&#946; and Ras pathway activity using SVD regression. Using these signatures, we demonstrate that acute induction of oncogenic Ras in the mouse mammary gland results in rapid activation of the TGF&#946; pathway. Conversely, application of SVD regression using a Ras pathway signature revealed rapid Ras pathway activation following TGF&#946; treatment of normal mammary epithelial cells. Biochemical studies confirmed these computational findings, supporting the specificity of these SVD regression-based predictions. Taken together, our results indicate that SVD regression can detect activation of endogenous pathways <it>in vivo</it>, thereby providing novel insight into cell signaling <it>in vivo</it>.</p>
      </sec>
      <sec>
         <st>
            <p>Results</p>
         </st>
         <sec>
            <st>
               <p>Generation of a TGF&#946; pathway signature using SVD regression</p>
            </st>
            <p>To generate a gene expression signature for the TGF&#946; signaling pathway in mammary epithelial cells, we used a non-transformed murine mammary epithelial cell line (NMuMG). NMuMG cells respond to TGF&#946; by undergoing epithelial-to-mesenchymal transition and have commonly been used to study signaling and transcriptional events downstream of this cytokine. To identify a comprehensive list of genes altered by TGF-&#946;1 treatment, Affymetrix microarray analysis was performed on untreated NMuMG cells and cells treated with TGF&#946; for 24 h. SVD regression with Markov Chain Monte Carlo (MCMC) fitting generated a TGF-&#946;1 signature consisting of 500 genes. Among the genes present in this signature were several known TGF&#946; targets, including <it>Serpine1</it>/<it>plasminogen activator inhibitor-1 </it>(<it>PAI-1</it>), <it>connective tissue growth factor </it>(<it>Ctgf</it>), <it>Bhlhb2</it>, <it>cysteine rich protein 61</it>(<it>Cyr61</it>) and <it>interleukin-11</it>(<it>IL-11</it>) <abbrgrp><abbr bid="B18">18</abbr><abbr bid="B19">19</abbr><abbr bid="B20">20</abbr><abbr bid="B21">21</abbr></abbrgrp>.</p>
            <p>We next wished to compare the transcriptional changes induced by TGF-&#946;1 and TGF-&#946;3. NMuMG cells were treated with TGF-&#946;3 for 24 h, Affymetrix microarray analysis was performed, and a TGF-&#946;3 signature was extracted in a manner analogous to that used for TGF-&#946;1. Principal component analysis (PCA) of the TGF-&#946;1 signature revealed that 97.7% of the gene expression variation could be represented in principal component 1 (Figure <figr fid="F1">1a</figr>). When the TGF-&#946;3 signature was projected in the PCA plot onto the space delineated by the TGF-&#946;1 signature, TGF-&#946;3-treated samples fell closer to TGF-&#946;1 treated samples than to untreated NMuMG cells, indicating that TGF-&#946;1 and TGF-&#946;3 elicit similar transcriptional changes (Figure <figr fid="F1">1a</figr>).</p>
            <fig id="F1">
               <title>
                  <p>Figure 1</p>
               </title>
               <caption>
                  <p>An NMuMG-derived TGF&#946; signature accurately and quantitatively predicts TGF&#946; pathway activation</p>
               </caption>
               <text>
                  <p><b>An NMuMG-derived TGF&#946; signature accurately and quantitatively predicts TGF&#946; pathway activation</b>. <b>(a) </b>Principal component analysis (PCA) of untreated NMuMG cells (open circles), TGF-&#946;1 treated cells (training set, filled squares), and TGF-&#946;3 treated cells (testing set, filled circles). <b>(b) </b>SVD regression demonstrating quantitative prediction of TGF&#946; pathway activity in both TGF-&#946;1 and TGF-&#946;3 treated cells.</p>
               </text>
               <graphic file="gb-2008-9-12-r180-1"/>
            </fig>
            <p>To further compare the transcriptional changes induced by TGF-&#946;1 and TGF-&#946;3, the extent of overlap between genes differentially regulated by these cytokines was assessed. Treatment with TGF-&#946;1 and TGF-&#946;3 led to changes in 1,316 and 880 probes, respectively, with a minimum threshold of a 1.5-fold change and a <it>p</it>-value &lt;0.01. There were 757 differentially regulated genes common to these two treatments (<it>p </it>= 1.2 &#215; 10<sup>-107</sup>, hypergeometric test), indicating again that TGF-&#946;1 and TGF-&#946;3 induce very similar transcriptional programs. Since substantial overlap was identified between the TGF-&#946;1 and TGF-&#946;3 transcriptional responses, we used the 500-gene TGF-&#946;1 signature as the TGF&#946; pathway signature for all subsequent experiments and the TGF-&#946;3 dataset was used as an independent testing dataset (Additional data file 1).</p>
         </sec>
         <sec>
            <st>
               <p>Quantitative estimation of TGF&#946; pathway activity in TGF&#946;-treated mammary epithelial cells using SVD regression</p>
            </st>
            <p>While PCA permits untreated and TGF&#946;-treated samples to be distinguished, it would be useful to have a quantitative measure of TGF&#946; pathway activity in a given sample. Given the limited sensitivity and specificity of microarrays <abbrgrp><abbr bid="B22">22</abbr><abbr bid="B23">23</abbr><abbr bid="B24">24</abbr></abbrgrp>, this requires combining multiple probe sets and reducing the dimensionality of data to construct a stable predictor with limited training data.</p>
            <p>Toward this end, SVD binary regression with MCMC fitting was applied to obtain a quantitative measurement of TGF&#946; pathway activity. First, the TGF&#946; pathway predictor was trained by comparing TGF-&#946;1 treated and untreated cells. The predictor was then tested on TGF-&#946;3 treated cells. Using leave-one-out cross-validation to assess out-of-sample-error, the predictor was able to detect TGF&#946; pathway activity in both the training (TGF&#946;-1) and the testing (TGF&#946;-3) sets (Figure <figr fid="F1">1b</figr>). Thus, this model appears to provide a sensitive and accurate measure of TGF&#946; activity.</p>
         </sec>
         <sec>
            <st>
               <p>PCA identifies TGF&#946; pathway activation following short-term Ras induction</p>
            </st>
            <p>Given the complex relationship between the Ras and TGF&#946; pathways during epithelial cell transformation <abbrgrp><abbr bid="B14">14</abbr><abbr bid="B15">15</abbr><abbr bid="B16">16</abbr><abbr bid="B17">17</abbr><abbr bid="B25">25</abbr><abbr bid="B26">26</abbr><abbr bid="B27">27</abbr><abbr bid="B28">28</abbr><abbr bid="B29">29</abbr></abbrgrp>, we sought to determine the status of the TGF&#946; pathway following Ras activation <it>in vivo</it>.</p>
            <p>We previously described the generation of TetO-Ras (TRAS) mice in which expression of an activated oncogenic Ras allele (<it>Hras</it><sup><it>G12V</it></sup>) is under the control of the tetracycline operator <abbrgrp><abbr bid="B30">30</abbr></abbrgrp>. <it>TRAS </it>mice were mated to MMTV-rtTA (MTB) transgenic mice that express the reverse tetracycline transactivator (rtTA) under the control of the MMTV promoter. In the resulting bitransgenic MTB/TRAS mice, doxycycline treatment leads to oncogenic Ras expression in the mammary epithelium, resulting in the acute activation of pathways downstream of Ras <abbrgrp><abbr bid="B31">31</abbr></abbrgrp>.</p>
            <p>To examine the relationship between Ras activation and TGF&#946; pathway activity, we used microarray expression profiling and SVD regression to assess TGF&#946; pathway activity in the mammary glands of MTB/TRAS mice following doxycycline treatment. MTB/TRAS mice were treated with doxycycline for 24 h, 48 h, 96 h, 8 days or 14 days, and RNA was harvested from mammary glands for global gene expression analysis using Affymetrix microarrays. When mammary gland samples were projected onto the expression space delineated by the TGF&#946; signature, as defined in NMuMG cells, mammary samples in which Ras was acutely induced spanned the region between untreated and TGF&#946;-treated NMuMG cells (Figure <figr fid="F2">2a</figr>). Mammary gland samples from uninduced MTB/TRAS mice were most similar to untreated NMuMG cells, whereas mammary gland samples from 14-day induced MTB/TRAS mice were most similar to TGF&#946;-treated NMuMG cells. The magnitude of TGF&#946; activation predicted based upon the TGF&#946; signature increased with increasing duration of Ras activation. These results indicate that Ras activation in the mammary gland results in gene expression changes similar to those induced by TGF&#946; in mammary epithelial cells <it>in vitro</it>. This, in turn, suggests that oncogenic Ras is capable of directly activating the TGF&#946; pathway <it>in vivo</it>.</p>
            <fig id="F2">
               <title>
                  <p>Figure 2</p>
               </title>
               <caption>
                  <p>A TGF&#946; signature detects TGF&#946; pathway activation following short-term Ras induction in the mammary gland</p>
               </caption>
               <text>
                  <p><b>A TGF&#946; signature detects TGF&#946; pathway activation following short-term Ras induction in the mammary gland</b>. <b>(a) </b>Mapping of mammary glands expressing activated Ras for increasing times (filled triangles) or uninduced controls (open triangles) onto the principal component space defined by the TGF&#946; signature in Figure 1a. <b>(b) </b>SVD regression predicts TGF&#946; pathway activation in mammary glands expressing activated Ras for 96 h, 8 days, and 14 days.</p>
               </text>
               <graphic file="gb-2008-9-12-r180-2"/>
            </fig>
         </sec>
         <sec>
            <st>
               <p>SVD regression identifies TGF&#946; pathway activation following short-term Ras-induction</p>
            </st>
            <p>We next wished to obtain a quantitative measure of changes in TGF&#946; pathway activity following short-term Ras activation <it>in vivo</it>. To achieve this, the SVD predictor was used to estimate TGF&#946; activity at increasing times following Ras induction. This analysis revealed a time-dependent increase in predicted TGF&#946; activity in the mammary gland following Ras activation. An increased probability of TGF&#946; pathway activity was observed as early as 24-48 h following Ras activation. Increased TGF&#946; pathway activity reached statistical significance at 96 h post-Ras-induction and remained elevated through 14 days of Ras activation (Figure <figr fid="F2">2b</figr>). These results indicate that Ras activation in the mammary gland leads to the progressive, time-dependent induction of a TGF&#946; expression signature indicative of TGF&#946; pathway activity.</p>
         </sec>
         <sec>
            <st>
               <p>Generation of a Ras pathway signature using SVD regression</p>
            </st>
            <p>We next sought to construct a predictor that would permit assessment of Ras pathway activity based on microarray data. To generate an <it>in vivo </it>Ras signature, SVD regression analysis with MCMC fitting was applied to expression data from the mammary glands of MTB/TRAS mice induced for 0, 48 or 96 h (Additional data file 2). When other induction time-points were projected onto this principal component space, early time-points (t = 24 h) fell closest to uninduced samples, whereas later time-points (t = 8 days and 14 days) fell closest to the 48 h and 96 h samples (Figure <figr fid="F3">3a</figr>). This indicates that the Ras signature generated from 48 h and 96 h induction time-points also detects Ras activity following earlier as well as later times of induction, thereby validating the utility of this signature.</p>
            <fig id="F3">
               <title>
                  <p>Figure 3</p>
               </title>
               <caption>
                  <p>An <it>in vivo</it>-derived Ras signature accurately and quantitatively predicts Ras pathway activation</p>
               </caption>
               <text>
                  <p><b>An <it>in vivo</it>-derived Ras signature accurately and quantitatively predicts Ras pathway activation</b>. <b>(a) </b>PCA demonstrating separation of mammary gland samples with Ras activation (MTB/TRAS 48 h, 96 h, 8 days and 14 days, filled triangles) from uninduced controls (MTB and MTB/TRAS 0 hours, open triangles) across principal component 1 (PC1). MTB/TRAS mice uninduced (open triangles) or induced (filled triangles) for 48 or 96 h were used for training, while the remaining MTB/TRAS time points and MTB uninduced mice were used as the test set. <b>(b) </b>SVD regression demonstrating quantitative prediction of Ras pathway activation following short-term induction in the mammary gland.</p>
               </text>
               <graphic file="gb-2008-9-12-r180-3"/>
            </fig>
            <p>To obtain a quantitative measure of Ras pathway activity, SVD binary regression was applied to expression data from MTB/TRAS mice induced for 0, 48 or 96 h. The resulting predictor was then applied to the other induction time-points to test its ability to quantitatively predict Ras activity. MTB/TRAS mice induced for 24 h exhibited a detectable increase in Ras pathway activity that was higher than that observed for MTB controls and lower than that observed for MTB/TRAS mice induced for 48 h (Figure <figr fid="F3">3b</figr>). MTB/TRAS mice in which Ras was induced for 8 or 14 days displayed pathway activation higher than that observed at 48 h and comparable to that observed following 96 h of Ras transgene induction (Figure <figr fid="F3">3b</figr>). These findings indicate that this gene predictor accurately and quantitatively detects Ras pathway activation.</p>
         </sec>
         <sec>
            <st>
               <p>SVD regression identifies endogenous Ras pathway activation following TGF&#946; treatment</p>
            </st>
            <p>In light of our computational prediction that acute Ras activation in the mammary gland resulted in secondary activation of the TGF&#946; pathway, and in light of prior reports implicating the mitogen-activated protein kinase (MAPK) pathway in TGF&#946;-induced epithelial-to-mesenchymal transition <abbrgrp><abbr bid="B32">32</abbr></abbrgrp>, we sought to determine whether acute TGF&#946; pathway activation in mammary epithelial cells resulted in secondary activation of the Ras pathway. First, gene expression data from untreated, and TGF-&#946;1- and TGF-&#946;3-treated NMuMG cells were mapped onto the principal component space defined by the <it>in vivo </it>Ras signature. TGF-&#946;1- and TGF-&#946;3-treated cells mapped closest to the 8- and 14-day Ras-induction samples, whereas untreated cells mapped closer to uninduced samples (Figure <figr fid="F3">3a</figr>) This suggests that TGF-&#946;1 and TGF-&#946;3 induce transcriptional changes similar to those induced by Ras activation.</p>
            <p>To quantitatively assess the level of Ras pathway activation induced by TGF&#946; treatment, the Ras predictor was applied to TGF-&#946;1- and TGF-&#946;3-treated NMuMG cells. Whereas untreated NMuMG cells displayed no detectable increase in Ras pathway activity, TGF-&#946;1 and TGF-&#946;3 treatment led to the robust induction of signatures indicative of Ras pathway activation (Figure <figr fid="F4">4</figr>). Together, both PCA and SVD regression analyses predict that the Ras pathway is activated as a consequence of TGF&#946; treatment in NMuMG cells.</p>
            <fig id="F4">
               <title>
                  <p>Figure 4</p>
               </title>
               <caption>
                  <p>A Ras signature detects Ras pathway activation following TGF&#946; treatment of NMuMG cells</p>
               </caption>
               <text>
                  <p><b>A Ras signature detects Ras pathway activation following TGF&#946; treatment of NMuMG cells</b>. SVD regression predicting activation of the Ras pathway in TGF-&#946;1- and TGF-&#946;3-treated NMuMG cells, but not untreated controls.</p>
               </text>
               <graphic file="gb-2008-9-12-r180-4"/>
            </fig>
         </sec>
         <sec>
            <st>
               <p>Biochemical validation of pathway predictions</p>
            </st>
            <p>We considered several models to explain the pathway predictions made by SVD. First, Ras and TGF&#946; might initiate similar gene expression programs through distinct transcriptional mediators. Alternatively, Ras might lead to activation of regulatory molecules downstream of TGF&#946;, such as those of the Smad transcription factor family. Similarly, TGF&#946; might activate effector molecules downstream of Ras, such as Raf, MEK, and MAPK. To evaluate these possibilities at the biochemical level, we examined the Smad family of transcription factors as well as the Raf-MEK-MAPK pathway as critical mediators of TGF&#946; and Ras-induced signaling, respectively.</p>
            <p>To determine whether the activation of the TGF&#946; pathway that we detected computationally following short-term Ras induction in the mammary gland was due to activation of Smad transcription factors, we performed immunofluorescence on mammary gland sections to examine the subcellular localization of Smad4. This analysis revealed that 96 h of Ras activation in the mammary gland was sufficient to induce nuclear translocation of Smad4, confirming activation of this pathway (Figure <figr fid="F5">5a</figr>). We next examined Smad3 phosphorylation following Ras activation. Consistent with our prediction that Ras activates this pathway, we found that acute induction of activated Ras led to a marked increase in levels of phosphorylated Smad3 (Figure <figr fid="F5">5b,c</figr>). Thus, short-term Ras activation directly induces Smad activation <it>in vivo</it>, which in turn results in the induction of a TGF&#946; transcriptional response.</p>
            <fig id="F5">
               <title>
                  <p>Figure 5</p>
               </title>
               <caption>
                  <p>Ras and TGF&#946; exhibit positive reciprocal regulation in mammary epithelial cells</p>
               </caption>
               <text>
                  <p><b>Ras and TGF&#946; exhibit positive reciprocal regulation in mammary epithelial cells</b>. <b>(a) </b>Immunofluorescence showing Smad4 nuclear translocation following short-term Ras expression in the mammary gland. Nuclei (blue), Smad4 (green), cytokeratin 8 (red). <b>(b) </b>Western blot analysis demonstrating phosphorylation of Smad1/3 after 96 h of Ras activation <it>in vivo</it>. <b>(c) </b>Quantification of western analysis. <b>(d) </b>Western analysis showing activated, GTP-bound Ras in NMuMG cells following TGF&#946; treatment. <b>(e) </b>Western analysis showing activated MEK in NMuMG cells following TGF&#946; treatment.</p>
               </text>
               <graphic file="gb-2008-9-12-r180-5"/>
            </fig>
            <p>To test our prediction that TGF&#946; treatment results in Ras pathway activation, the activation status of signaling components of this pathway was evaluated in TGF&#946;-treated NMuMG cells. As predicted, levels of Ras-GTP were higher in TGF&#946;-treated NMuMG cells compared to untreated cells (Figure <figr fid="F5">5d</figr>), indicating that TGF&#946; treatment resulted in Ras activation. Similarly, while TGF&#946; treatment did not alter the activation of RalA/B or Akt in NMuMG cells (data not shown), significant increases in p-MEK levels were observed in NMuMG cells following TGF&#946; treatment (Figure <figr fid="F5">5e</figr>). This indicates that TGF&#946; treatment results in Ras-Raf-MAPK pathway activation in NMuMG cells <it>in vitro</it>, thereby confirming our computational prediction.</p>
            <p>Together, our results are consistent with a model in which oncogenic Ras activation results in the induction of a TGF&#946; transcriptional response through activation of Smads, and in which activation of the TGF&#946; pathway can induce a Ras transcriptional response by activating the Ras-Raf-MAPK pathway.</p>
         </sec>
         <sec>
            <st>
               <p>SVD regression identifies TGF&#946; pathway activation in Ras-induced mammary tumors</p>
            </st>
            <p>The results described above indicate that SVD regression can detect endogenous activation of a secondary pathway in a well-defined system. For SVD regression to be of broad utility, however, it must also accurately predict pathway activation in a complex system, such as a tumor. Chronic Ras activation in the mammary gland leads to the formation of adenocarcinomas with a latency of 14 weeks. Given our finding that short-term Ras activation in the mammary gland results in TGF&#946; pathway activation, we next sought to assess whether activation of the TGF&#946; pathway is also detectable in Ras-induced tumors. To address this, global gene expression profiles of Ras-induced tumors were assessed by Affymetrix microarray analysis, and the above SVD predictor was used to predict their TGF&#946; pathway activity. This analysis reveals that the TGF&#946; pathway is indeed activated in Ras-induced tumors (Figure <figr fid="F6">6a</figr>), suggesting that this putative tumor suppressor TGF&#946; pathway is not shut off during the course of Ras-induce tumorigenesis.</p>
            <fig id="F6">
               <title>
                  <p>Figure 6</p>
               </title>
               <caption>
                  <p>A TGF&#946; signature detects TGF&#946; pathway activation in Ras-induced mammary tumors</p>
               </caption>
               <text>
                  <p><b>A TGF&#946; signature detects TGF&#946; pathway activation in Ras-induced mammary tumors</b>. <b>(a) </b>SVD regression predicts TGF&#946; pathway activation in mammary glands expressing activated Ras for 96 h and in mammary tumors induced by chronic Ras activation. <b>(b) </b>Western analysis showing increased phosphorylation of Smad1/3 in Ras-induced mammary tumors.</p>
               </text>
               <graphic file="gb-2008-9-12-r180-6"/>
            </fig>
            <p>We next used biochemical approaches to test our computational prediction that the TGF&#946; pathway is activated in Ras-induced tumors. Lysates from Ras-induced tumors were prepared and levels of activated Smad1/3 were assessed by western blot. We observed prominent Smad1/3 phosphorylation in Ras-induced mammary tumors (Figure <figr fid="F6">6b</figr>), confirming our computational prediction that the TGF&#946; pathway remains activated in Ras-induced tumors. This indicates that SVD can detect signaling pathway activation within a complex system.</p>
         </sec>
      </sec>
      <sec>
         <st>
            <p>Discussion</p>
         </st>
         <p>The ability to detect activation of an oncogenic pathway based upon patterns of gene expression would constitute a useful tool to query tumor biology and aid in prognostic and therapeutic decision-making in cancer patients. Herein we describe the use of SVD regression to accurately detect endogenous pathway activity <it>in vivo </it>in the context of a strong primary oncogenic stimulus. Using an inducible transgenic model expressing oncogenic Ras in the mammary gland, we have demonstrated that a TGF&#946; transcriptional signature is induced following short-term Ras activation and remains elevated during a 2-week course of Ras induction in the mammary gland. We have further demonstrated that this signature can be attributed to Ras-induced activation of Smad transcription factors, which provides a mechanistic basis for our computational prediction. Finally, we have demonstrated that TGF&#946; treatment of NMuMG cells results in the rapid induction of a Ras pathway signature. Consistent with these computational predictions, biochemical studies revealed that TGF&#946; treatment resulted in MEK activation and increased levels of Ras-GTP, suggesting that induction of the Ras-MEK-ERK pathway is responsible for induction of the observed Ras signature following TGF&#946; treatment.</p>
         <p>Taken together, our results suggest a model in which Ras and TGF&#946; induce reciprocal positive crosstalk in non-transformed mammary epithelial cells. Since TGF&#946; has been shown to inhibit epithelial cell transformation <abbrgrp><abbr bid="B33">33</abbr></abbrgrp>, our finding that TGF&#946; activity is increased following activated Ras expression in the mammary gland was unexpected, given that Ras induces widespread hyperplasia in the mammary gland at the time points tested and ultimately leads to tumor formation. However, these results are consistent with reports that Ras and TGF&#946; can synergize in promoting some aspects of the malignant phenotype <abbrgrp><abbr bid="B15">15</abbr><abbr bid="B17">17</abbr></abbrgrp>. Our findings provide important confirmation of this hypothesis in an <it>in vivo </it>model for mammary tumorigenesis and suggest that, at least in the context of Ras activation, the TGF&#946; pathway could potentially contribute to early stages of transformation.</p>
         <p>Using gene expression patterns to predict pathway activity has several advantages over traditional biochemical methods. Such signatures are based upon downstream transcriptional targets of a pathway, and so function as an overall measure of pathway activity. In contrast, biochemical approaches generally focus on one or several nodes in a pathway. Consequently, these approaches risk missing pathway activation that occurs at other points in the pathway, or that results from subtle, coordinated changes in multiple pathway members. While computational prediction of pathway activity does not address the mechanism by which a given pathway is activated, it does generate testable predictions for subsequent experiments.</p>
         <p>Although linear regression is a popular tool in prediction, we did not use it here to predict pathway activity for two reasons. First, our training dataset only has two states, pathway 'on' and 'off', and linear regression is not suitable in such cases. Second, the number of training samples is much smaller than the number of signature genes, a problem known as the 'curse of dimensionality' in statistical learning. This makes estimation of the linear regression coefficient unstable. To circumvent this problem, SVD has been used for dimensionality reduction. For instance, SVD has been used to reduce the dimensionality of expression data and integrate ChIP-chip data with expression data <abbrgrp><abbr bid="B34">34</abbr><abbr bid="B35">35</abbr></abbrgrp>. It has also been employed to reduce the expression data dimension prior to classifier training using support vector machines <abbrgrp><abbr bid="B36">36</abbr><abbr bid="B37">37</abbr></abbrgrp>. Although each of these approaches used SVD to reduce dimensionality, the objectives of these studies were distinct from those of this study, which focused on using expression data to predict signaling pathway activity.</p>
         <p>Until recently, SVD binary regression has primarily been used to detect the activity of ectopically activated dominant oncogenic pathways <abbrgrp><abbr bid="B4">4</abbr><abbr bid="B12">12</abbr></abbrgrp>. Whether it can also be used to detect endogenously occurring activation of a secondary pathway had not previously been assessed. We were able to detect TGF&#946; pathway activity in the context of concurrent, strong Ras pathway activation, and vice versa. Our findings, which were unexpected, indicate that SVD regression can detect crosstalk between endogenous signaling pathways and may be useful for identifying previously unsuspected relationships between signaling pathways. Furthermore, our results provide an important proof-of-principle that SVD regression is sufficiently sensitive for this purpose, which is essential for the utility of this technique in predicting pathway activity in human cancers.</p>
         <p>When analyzing gene expression data from human tumor samples, lack of materials frequently renders biochemical validation impossible. As such, validating signatures in experimentally tractable systems is valuable. To this end, in the study presented here we were able to validate our computational predictions with biochemical approaches. Given that tumors typically result from the collaboration between multiple signaling pathways, the ability to detect the activation status of individual pathways within a complex network of other pathways in the cell is of paramount importance. In this manner, it should be possible to classify tumors according to the molecular pathways that have been activated, thereby leading to improvements in the selection of appropriate treatments.</p>
      </sec>
      <sec>
         <st>
            <p>Materials and methods</p>
         </st>
         <sec>
            <st>
               <p>Inducible transgenic mice and cell culture</p>
            </st>
            <p>MTB and TRAS transgenic mice have previously been described <abbrgrp><abbr bid="B30">30</abbr><abbr bid="B38">38</abbr></abbrgrp>. Bitransgenic MTB/TRAS mice in an FVB/N background were generated by crossing MTB and TRAS mice. To induce oncogenic v-<it>H-Ras </it>expression, 6-week-old MTB/TRAS female mice were administered 2 mg/ml doxycycline with 5% sucrose in their drinking water. Mammary tissue was harvested at different post-induction time points and snap frozen. To generate Ras-driven tumors, MTB/TRAS mice were administered 0.012 mg/ml doxycycline in their drinking water and monitored for tumor formation. Mice were sacrificed when tumors reached approximately 1 cm and tissue was snap frozen.</p>
            <p>The non-transformed murine mammary epithelial cell line NMuMG was cultured in Dulbecco's modified Eagle's medium (DMEM) supplemented with 10% bovine calf serum, 1% penicillin/streptomycin, and 2 mM L-glutamine. For TGF&#946; treatment, cells were cultured in low serum medium (0.5%) overnight followed by treatment with 5 ng/ml TGF-&#946;1 or TGF-&#946;3 (Sigma, St. Louis, MO, USA). After 24 h, RNA and protein were harvested for microarray hybridization or biochemical analysis.</p>
         </sec>
         <sec>
            <st>
               <p>Microarray analysis</p>
            </st>
            <p>RNA was isolated from snap-frozen mammary tissue or NMuMG cells as previously described <abbrgrp><abbr bid="B39">39</abbr></abbrgrp>. The synthesis of biotinylated cRNA and hybridization to high-density Affymetrix MG-U74Av2 microarrays were performed according to manufacturer's instructions. The raw data can be accessed through the GEO database [GEO:GSE13986]. Genechip Robust Multichip Average (GCRMA) was used to extract signal values from CEL files <abbrgrp><abbr bid="B22">22</abbr><abbr bid="B24">24</abbr></abbrgrp>. Expression values were log2 transformed. The arrays were normalized using quantile normalization and a fold-change based filtration was applied to all genes on the array. Genes whose expression changed by less than 1.5-fold between the two perturbed states were filtered out as non-changing genes.</p>
         </sec>
         <sec>
            <st>
               <p>SVD binary regression</p>
            </st>
            <p>The method we used for pathway activity prediction uses a standard binary regression model in combination with SVDs. Suppose a binary phenotype, such as disease class, and expression levels for <it>p </it>genes are collected on <it>n </it>independent samples. The <it>n </it>&#215; 1 response vector <it>y </it>and the <it>p </it>&#215; <it>n </it>gene expression matrix <it>X </it>can be related using the probit regression model, <it>E [Y] </it>= &#934;(<it>X' &#946;</it>), where <it>&#934; </it>is the cumulative distribution function of the standard normal distribution. In microarray studies, we usually have <it>p </it>>> <it>n </it>and this makes inference of the regression coefficients, <it>&#946;</it>, unstable. To circumvent this problem, a SVD is applied to <it>X</it>, <it>X </it>= <it>ADF</it>. The probit model can then be written as <it>E [Y] </it>= &#934;(<it>F'DA' &#946;</it>) = &#934;(<it>F' &#952;</it>), where <it>F </it>is <it>n </it>&#215; <it>n </it>matrix of metagenes and <it>&#952; </it>= <it>DA'&#946;</it>. SVD therefore reduces the dimensionality of the parameter space. The parameter estimation on &#952; is implemented using MCMC simulation methods and Bayesian inference <abbrgrp><abbr bid="B7">7</abbr></abbrgrp>. The software is implemented in Matlab and is available for download <abbrgrp><abbr bid="B12">12</abbr></abbrgrp>.</p>
         </sec>
         <sec>
            <st>
               <p>Pathway signature analysis</p>
            </st>
            <p>To construct a pathway activity predictor for TGF&#946;, we first performed a 1.5-fold change based filtration on TGF&#946;1-treated versus untreated NMuMG microarray data. To obtain a TGF&#946; pathway predictor, we trained SVD binary regression using the differentially regulated genes. The parameters that were used to train SVD binary regression were chosen according to described guidelines <abbrgrp><abbr bid="B4">4</abbr></abbrgrp>. For the MCMC procedure, we used 5,000 iterations for burn-in and 5,000 iterations to estimate regression coefficients. To predict TGF&#946; pathway activity on a new sample, we used the learned parameters to project that sample onto the principal component space and computed the probability of pathway activation. The same parameters were used to construct a Ras pathway predictor. The genes that are in common between TGF&#946; and Ras pathway signatures are listed in Additional data file 3.</p>
         </sec>
         <sec>
            <st>
               <p>Immunofluorescence analysis</p>
            </st>
            <p>Mammary tissues embedded in Optimal cutting temperature compound (OCT) (Torrance, CA, USA) were sectioned at 8 &#956;m and fixed for 10 minutes in 4% neutral buffered paraformaldehyde. Following three 10-minute rinses in phosphate-buffered saline (PBS), antigen retrieval was performed by heating sections in pH 6.0 citrate buffer. Sections were then rinsed in PBS and incubated in blocking buffer (5% bovine serum albumin, 0.3% Triton X-100, 10% normal goat serum, in PBS) for 1.5 h at ambient temperature. Primary antibodies diluted in blocking buffer were applied to each section and incubated at 4&#176;C overnight. Unbound primary antibody was removed with three 10-minute rinses in wash buffer (0.3% Triton X-100 in PBS), and sections were subsequently stained with Alexa Fluor<sup>&#174; </sup>488 or 567 conjugated goat IgG serum raised against the host of the primary antibodies (Molecular Probes, Carlsbad, CA, USA). Stained sections were rinsed for 10 minutes in wash buffer and twice for 10 minutes each in PBS. Nuclei were counterstained with 1 &#956;g/ml Hoechst 33258 dye, mounted in Fluoromount-G (SouthernBiotech, Birmingham, AL, USA), and visualized using a Leica DMRXE microscope.</p>
         </sec>
         <sec>
            <st>
               <p>Immunoprecipitation and western blot analysis</p>
            </st>
            <p>Tissue lysates were prepared from snap frozen mammary tissues or NMuMG cells by Dounce homogenization using a magnesium lysis buffer (Upstate Biologicals, Billerica, MA, USA). The levels of Ras-GTP or RalA/B-GTP were detected using Ras and RalA activation kits (Upstate Biologicals) according to the manufacturer's instructions. Western blot analysis was performed as described <abbrgrp><abbr bid="B40">40</abbr></abbrgrp>. The following primary antibodies were used for western blot analysis: anti-phospho-MEK1/2 (Ser217/221; Cell Signaling, Danvers, MA, USA); anti-phospho-Smad1/3 (Ser423/425; Cell Signaling); anti-Smad3 (Santa Cruz, CA, USA); anti-phospho-Akt (Ser437; Cell Signaling); anti-Akt (Cell Signaling); and anti-&#946;-tubulin (Biogenex, San Ramon, CA, USA). Secondary antibodies were horseradish peroxidase-conjugated goat anti-mouse and horseradish peroxidase-conjugated goat anti-rabbit antibodies (Jackson ImmunoResearch, West Grove, PA, USA). All primary antibodies were incubated at 4&#176;C overnight. Secondary antibodies were incubated for 1 h at room temperature.</p>
         </sec>
      </sec>
      <sec>
         <st>
            <p>Abbreviations</p>
         </st>
         <p>GSEA: gene set enrichment analysis; MAPK: mitogen-activated protein kinase; MCMC: Markov Chain Monte Carlo; PBS: phosphate-buffered saline; PCA: principal component analysis; SVD: singular value decomposition; TGF&#946;: transforming growth factor beta.</p>
      </sec>
      <sec>
         <st>
            <p>Authors' contributions</p>
         </st>
         <p>ZL, MGT, and LAC conceived the study. ZL and TCP performed the computational studies. MW, JVA, MEB, and CCC carried out the biochemical validation experiments. ZL, MW, JVA, CD, MGT, and LAC drafted the manuscript. All authors read and approved the final manuscript.</p>
      </sec>
      <sec>
         <st>
            <p>Additional data files</p>
         </st>
         <p>The following additional data are available with the online version of this paper. Additional data file <supplr sid="S1">1</supplr> is a spreadsheet of the gene signature for TGF&#946; pathway, including probe set ID, log fold change, gene name, Entrez ID, and gene symbol. Additional data file <supplr sid="S2">2</supplr> is a spreadsheet of the Gene signature for Ras pathway, including probe set ID, log fold change, gene name, Entrez ID, and gene symbol. Additional data file <supplr sid="S3">3</supplr> is a spreadsheet of the genes in common between TGF&#946; signature and Ras signature.</p>
         <suppl id="S1">
            <title>
               <p>Additional data file 1</p>
            </title>
            <caption>
               <p>Gene signature for TGF&#946; pathway, including probe set ID, log fold change, gene name, Entrez ID, and gene symbol</p>
            </caption>
            <text>
               <p>Gene signature for TGF&#946; pathway, including probe set ID, log fold change, gene name, Entrez ID, and gene symbol.</p>
            </text>
            <file name="gb-2008-9-12-r180-S1.xls">
               <p>Click here for file</p>
            </file>
         </suppl>
         <suppl id="S2">
            <title>
               <p>Additional data file 2</p>
            </title>
            <caption>
               <p>Gene signature for Ras pathway, including probe set ID, log fold change, gene name, Entrez ID, and gene symbol</p>
            </caption>
            <text>
               <p>Gene signature for Ras pathway, including probe set ID, log fold change, gene name, Entrez ID, and gene symbol.</p>
            </text>
            <file name="gb-2008-9-12-r180-S2.xls">
               <p>Click here for file</p>
            </file>
         </suppl>
         <suppl id="S3">
            <title>
               <p>Additional data file 3</p>
            </title>
            <caption>
               <p>Genes in common between TGF&#946; signature and Ras signature</p>
            </caption>
            <text>
               <p>Genes in common between TGF&#946; signature and Ras signature.</p>
            </text>
            <file name="gb-2008-9-12-r180-S3.xls">
               <p>Click here for file</p>
            </file>
         </suppl>
      </sec>
   </bdy>
   <bm>
      <ack>
         <sec>
            <st>
               <p>Acknowledgements</p>
            </st>
            <p>We thank Kate Dugan for performing the Affymetrix hybridization, Dhruv Pant for helpful discussions, and the reviewers for providing helpful comments on the experiments and manuscript. This work was supported by grants W81-XWH-06-1-0771 (ZL), W81-XWH-07-1-0420 (JVA), W81-XWH-04-1-0431 (MW), and W81-XWH-05-1-0405 from the US Army Breast Cancer Research Program and grants CA98371, and CA105490 from the National Cancer Institute.</p>
         </sec>
      </ack>
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