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This article is part of the series Daphnia: the companion papers for the genome sequence.

Open Access Highly Accessed Research article

Physiological responses of Daphnia pulex to acid stress

Anna K Weber and Ralph Pirow*

Author Affiliations

Institute of Zoophysiology, University of Münster, Münster, Germany

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BMC Physiology 2009, 9:9  doi:10.1186/1472-6793-9-9

The electronic version of this article is the complete one and can be found online at: http://www.biomedcentral.com/1472-6793/9/9


Received:29 February 2008
Accepted:21 April 2009
Published:21 April 2009

© 2009 Weber and Pirow; licensee BioMed Central Ltd.

This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Background

Acidity exerts a determining influence on the composition and diversity of freshwater faunas. While the physiological implications of freshwater acidification have been intensively studied in teleost fish and crayfish, much less is known about the acid-stress physiology of ecologically important groups such as cladoceran zooplankton. This study analyzed the extracellular acid-base state and CO2 partial pressure (PCO2), circulation and ventilation, as well as the respiration rate of Daphnia pulex acclimated to acidic (pH 5.5 and 6.0) and circumneutral (pH 7.8) conditions.

Results

D. pulex had a remarkably high extracellular pH of 8.33 and extracellular PCO2 of 0.56 kPa under normal ambient conditions (pH 7.8 and normocapnia). The hemolymph had a high bicarbonate concentration of 20.9 mM and a total buffer value of 51.5 meq L-1 pH-1. Bicarbonate covered 93% of the total buffer value. Acidic conditions induced a slight acidosis (ΔpH = 0.16–0.23), a 30–65% bicarbonate loss, and elevated systemic activities (tachycardia, hyperventilation, hypermetabolism). pH 6.0 animals partly compensated the bicarbonate loss by increasing the non-bicarbonate buffer value from 2.0 to 5.1 meq L-1 pH-1. The extracellular PCO2 of pH 5.5 animals was significantly reduced to 0.33 kPa, and these animals showed the highest tolerance to a short-term exposure to severe acid stress.

Conclusion

Chronic exposure to acidic conditions had a pervasive impact on Daphnia's physiology including acid-base balance, extracellular PCO2, circulation and ventilation, and energy metabolism. Compensatory changes in extracellular non-bicarbonate buffering capacity and the improved tolerance to severe acid stress indicated the activation of defense mechanisms which may result from gene-expression mediated adjustments in hemolymph buffer proteins and in epithelial properties. Mechanistic analyses of the interdependence between extracellular acid-base balance and CO2 transport raised the question of whether a carbonic anhydrase (CA) is involved in the catalysis of the reaction, which led to the discovery of 31 CA-genes in the genome of D. pulex.

Background

Freshwater acidification is an important stressor that affects the structure of zooplankton communities in lake ecosystems. Acidification may arise from natural processes such as spring acid episodes [1,2], acid rock drainage [3] and volcanism [4,5], or from anthropogenic activities including fossil fuels burning [6,7], agriculture measures [8], dredging of waterways [9,10] and mining-related processes (e.g. acid mine drainage, recultivation and flooding of former mining pits) [11,12]. pH levels below 5–6 generally decrease the zooplankton species richness compared to circumneutral pH conditions [13-16]. Among the zooplankton, crustaceans of the genus Daphnia are usually less abundant in acidified lakes while other (non-daphnid) cladocerans, calanoid copepods, and insects (e.g. Chaoborus larvae and corixids) may increase in importance or even become dominating [15,17]. The mechanisms behind these changes in the zooplankton community structure are manifold. They include a differential physiological sensitivity to acid stress [14,18,19], a differential tolerance against toxic metal species [20-22], which become more soluble under acidic conditions, as well as altered biotic interactions arising from the effect of pH on phytoplankton and planktivore communities [14,23].

It is well-known that the physiological sensitivity of aquatic animals to acidic conditions is associated with iono- and osmoregulatory processes [24,25]. Faced with the continuous diffusive gain of water and loss of ions, freshwater animals generally have to minimize their whole-body permeability to water and/or ions and additionally require compensatory uptake mechanisms for sodium and chloride to maintain a steady-state ion balance [26]. While data on whole-body water permeability of freshwater zooplankton are essentially lacking [27-29], there is some information on sodium permeability. In general, acid-tolerant species such as aquatic insects have a relatively low sodium permeability in comparison to cladocerans [18,30-32]. In the acid-sensitive daphnids, the inability to survive long term below pH 5 is correlated with the net loss of body sodium due to an accelerated rate of Na+ loss and a reduced rate of Na+ uptake [33,34], a process that is additionally influenced by the ambient calcium concentration [35].

The acidification-induced impairment of sodium uptake in daphnids suggests that the transport of sodium across the epipodites – the so-called 'branchial sacs' [36] – is linked with proton extrusion [33,35], as it is in the gills of other freshwater animals such as fish and crayfish [37-40]. The protons arise from the catalyzed hydration of CO2 by a cytoplasmic carbonic anhydrase in the ionoregulatory epithelia. This reaction produces which is then excreted in exchange for chloride [41]. The interdependence between ionoregulatory processes, acid-base balance, and CO2 transport explains the strong impact of acid stress on the physiology of many freshwater animals. However, in contrast to the detailed information on teleost fish [24] and crayfish [25], the physiological implications of acid stress in daphnids have remained largely unexplored. Daphnids are important model organisms in ecotoxicology, and there is a growing interest in establishing mechanistic links between molecular stress responses and organismal stress responses [42-47]. Understanding the specific physiology of Daphnia may help to elucidate the modes of action of environmental toxicants [48,49].

The present study provides the experimental, methodical, and conceptual framework to analyze the acid-stress physiology of daphnids. Preliminary tests with Daphnia pulex yielded the appropriate acclimation conditions which guaranteed the survival, growth, and reproduction under acidic (pH 5.5 and 6.0) and circumneutral conditions (pH 7.8). Based on these stable laboratory populations, we determined the buffer characteristics from microliter hemolymph samples, analyzed the extracellular acid-base state by microspectralfluorometry using the pH-sensitive dye cSNARF-1, and studied the responses to a short-term exposure to severe acid stress (pH 3–4). Circulation, ventilation and respiration were additionally analyzed and served as diagnostic indicators for the interpretation of acid-base disturbances. Moreover, reproduction was monitored to assess acidification-induced changes in maintenance costs and energy-and-mass budget. Finally, the implications of the presence or absence of an extracellular carbonic anhydrase for acid-base balance and circulatory CO2 transport are discussed.

Results and discussion

Acid-base balance under normal conditions

A rather alkaline extracellular pH of 8.334 ± 0.006 (mean ± S.E., N = 4) was measured in the heart region of animals which were raised and examined under normal conditions (i.e. ambient pH = 7.8, PCO2 = 0.035 kPa, and 20°C). By taking the characteristics and the variability of the hemolymph buffer curves (Table 1) into account, the mean in vivo pH corresponded to an equilibrium PCO2 of 0.56 ± 0.02 kPa (means ± S.E., N = 3 buffer curves) and a hemolymph bicarbonate concentration of 20.9 ± 0.7 mM (Table 2 and Figure 1A, open triangle). The derived PCO2 value is a representative measure of the extracellular PCO2 in the heart reagion as long as the CO2+H2O↔H++ reaction in the hemolymph can reasonably be assumed to be in equilibrium. The information on the hemolymph buffer curves and the extracellular pH was used to assess the capacity of the extracellular compartment to buffer hydrogen ions of metabolic origin. The hemolymph had a total buffer value (βT) of 51.5 meq L-1 pH-1 (Table 2). Bicarbonate covered 93% of βT, and the non-bicarbonate buffer value (βA) was 2.0 meq L-1 pH-1.

thumbnailFigure 1. Hemolymph buffer curves and non-bicarbonate buffer values. (A) Hemolymph buffer curves of animals raised at 20°C at pH 7.8 (open symbols), pH 6.0 (grey-filled symbols), and pH 5.5 (filled symbols). The symbols represent the mean of a three-fold determination. The error in the concentration of chemically bound CO2 arises from the standard error in the calculation of CO2 partial pressure (PCO2) for a given pH (Table 1). The solid lines were calculated using the equations 1–3 and the means of the individual (curve-specific) parameter values given in Table 1. Dotted lines represent the PCO2 isobars. The triangles indicate the in vivo acid-base state of the respective acclimation groups. (B) Non-bicarbonate buffer values (βA) calculated from equation 4.

Table 1. Analysis of hemolymph buffer curves and determination of PCO2 from pH.

Table 2. Comparison of acid-base, systemic and respiratory variables among the different acclimation groups.

Given the extracellular pH of 8.334, which is markedly higher than the circumneutral values of other water-breathing crustaceans (Table 3) [50-70], one is tempted to assume that Daphnia pulex is in a state of permanent respiratory alkalosis. Indeed, the filter-feeding mode of life of daphnids is inevitably associated with high ventilation rates (e.g. 0.75 mm3 s-1 [mm-3 body volume] for D. magna) [71], which should favor the wash-out of carbon dioxide from the hemolymph. However, the present study gave no indication for a respiratory hypocapnia in D. pulex, since the extracellular pH suggested an equilibrium PCO2 of 0.56 kPa, which is higher than the typical PCO2 values (0.2–0.5 kPa, Table 3) in the prebranchial and postbranchial hemolymph of other water-breathing crustaceans. If the equilibrium PCO2 in the postbranchial hemolymph of D. pulex would approach the low value of, say, 0.2 kPa, an extreme alkalosis (pH 8.75) would occur. Taking the scaling relationship between metabolic rate and body size into account [72], the exceptional acid-base state of these small crustaceans seems to be determined by two main factors: (i) a high, specific metabolic rate, which contributes to the elevated PCO2 levels, and (ii) a high bicarbonate buffer value, which might be a pre-adaptive feature to cope with a highly variable, physiologically challenging environment.

Table 3. Acid-base status in Crustacea.

One may argue that the in vivo results are to some extent influenced by the experimental procedures, which required the microinjection of a pH-sensitive dye into the circulatory system of immobilized animals. Previous studies [71,73-75] have shown that the immobilization does not induce any noticable physiological disturbances, provided that the animals have the chance to acclimate to the experimental conditions for at least 30 min. Immobilized animals of D. magna, for example, exhibit the typical resting values in heart rate (fH) and appendage beating rate (fA) and respond in a predictable manner to changes in abiotic [73-75] and biotic factors [71]. The microinjection procecure, however, is known to induce a bradycardia in D. magna [76] and it did so in D. pulex. Our microinjected control animals (pH 7.8 acclimation) had a fH of 205 ± 10 min-1 (N = 4), which was significantly lower than that of non-injected animals (310 ± 28 min-1, N = 5; t-test: P = 0.01). In contrast, there was no significant effect on fA (injected: 374 ± 32 min-1, non-injected: 352 ± 51 min-1; P = 0.8). The slower fH was very likely caused by the increase in hemolymph viscosity due to the injection of the dye-coupled 70-kDa dextrans. Given the 34% reduction in fH, one may suppose a pertubation in the hemolymph partial pressures of respiratory gases including the PCO2. Theoretical analyses in terms of the CO2 transport model, which is described below, revealed that the mean extracellular PCO2 would be 8% smaller in the absence of a bradycardia. An effect of this magnitude does not invalidate the findings about the exceptional acid-base state of D. pulex.

Physiological and visible effects of chronic exposure to acidic conditions

Animals raised and tested under acidic conditions (ambient pH 6.0 and pH 5.5) had extracellular pH values of 8.177 ± 0.025 and 8.104 ± 0.008 (N = 3 each), respectively. These values were 0.16–0.23 pH units lower than that of the control (pH 7.8 acclimated) animals. The differences in extracellular pH among the acclimation groups were statistically significant (Table 2). The extracellular PCO2 (0.56 ± 0.02 kPa) of the pH 6.0 acclimated animals was virtually the same as that of the control group. In contrast, pH 5.5 animals had a significantly lower extracellular PCO2 of 0.33 ± 0.04 kPa (Table 2).

The slight acidosis in the extracellular fluid was associated with a significant (30–65%) reduction in hemolymph bicarbonate concentration to 14.6 ± 0.5 mM in pH 6.0 animals and 7.2 ± 0.9 mM in pH 5.5 animals (Table 2 and Figure 1A, gray and black triangles). Reductions of similar relative magnitude have been observed in freshwater crayfish [77-79]. This depletion in hemolymph bicarbonate, by the entry of acidic equivalents from the ambient medium (see below), caused a proportional reduction in the bicarbonate buffer value (βB). The pH 6.0 animals partly compensated the 30% reduction in βB by increasing the non-bicarbonate buffer value (βA) from 2.0 to 5.1 meq L-1 pH-1, while pH 5.5 animals experienced a 65% loss in βB (Table 2). Although the compensatory increase in βA was almost negligible, the pH 5.5 animals still had significant reserves in βA which are available in the case of a progressive acidosis (Figure 1B).

Heart rate (fH), ventilation rate (fA), and oxygen consumption rate () were additionally monitored as diagnostic indicators for the mechanistic interpretation of acid-base disturbances. Compared to the control group, animals raised and tested under pH 6.0 showed a 20% higher fH, a 14% higher fA and a 38% higher (Table 2), supposedly to meet the increased maintenance requirements for ion regulation. These systemic adjustments had no influence on extracellular PCO2. The acidosis of the pH 6.0 animals (ΔpH = -0.16 units; Table 2) was therefore of metabolic rather than of respiratory origin. In agreement with the convention in acid-stress physiology [80], the term 'metabolic acidosis' is used here irrespective of whether the protons originate endogenously in connection with lactic acid production or exogenously, by the influx of H+ down the large medium-to-hemolymph H+ gradient. The metabolic acidosis was very likely caused by an influx of acidic equivalents from the ambient medium, since the sustained circulation and ventilation argue against the possibility of an activation of anaerobic support mechanisms.

Compared to the control group, the pH 5.5 animals experienced a 0.23-unit decrease in extracellular pH (Table 2), which can be characterized as metabolic acidosis with respiratory compensation as indicated by the reduced extracellular PCO2. Since the oxygen consumption rate (and consequently the CO2 production rate) did not change significantly in comparison to the control animals (Table 2), the main reasons for the reduced extracellular PCO2 are the 34–46% increased ventilation and perfusion rates (Table 2) as well as an enhanced permeability of the integument for respiratory gases, probably due to a thinner carapace. The latter explanation is consistent with the observation of the softer carapaces, which occurred only in the pH 5.5 animals. As in acid-stressed freshwater crayfish [81-83], the softer (jelly-like) carapace of pH 5.5 animals may indicate a poor calcification resulting from exoskeletal CaCO3 erosion and reduced calcium and basic equivalent () uptake during the postmoult stage.

One may wonder why the acidification-induced increase in was only present in the pH 6.0 animals but absent in the pH 5.5 animals. The is expressed here as specific rate (nmol h-1 mm-3), which is normalized to cubic body length rather than to body weight. It is common practice to estimate the body weight of daphnids from body length using scaling relationships (e.g. [84]). However, we discarded this estimation because of the uncertainty about the influence of acidification on the relationship between body length and body weight. In the pH 5.5 animals, a reduction in the amount of metabolically active biomass (per cubic body length) could have masked the supposed extra costs for ion regulation. Evidence for this explanation comes from the comparison of brood sizes of those animals which were analyzed in the respiration experiment. The egg numbers of pH 5.5 animals (1.2 ± 0.6, range: 0–6, N = 12) were significantly lower than those of the pH 6.0 animals (9.1 ± 0.6, N = 12) and pH 7.8 animals (7.8 ± 1.0, N = 9) (Kruskal-Wallis test, P < 0.001). All eggs were of early developmental stage and accounted for very little respiration in the brooding females [85]. Nevertheless, the reduced allocation of resources into reproduction implies an acidification-induced disturbance in the energy and mass budgets of the pH 5.5 animals. Indeed, these animals showed the highest degree of transparency owing to the decreased appearance of orange-colored fat cells. Fat cells store carbohydrates and lipids [86-88], the latter in form of droplets which are usually colored, owing to the presence of carotinoids [89]. In addition, fat cells produce hemoglobin [90] and are supposed to be involved in vitellogenin synthesis [91]. Whether the acidification-induced disturbance in the energy and mass budgets results solely from the increased maintenance costs for ion homeostasis or, additionally, from a reduced assimilation rate (e.g. due suboptimal pH conditions for enzymatic digestion of food in the gut) needs further investigation.

It is important to note that no diapausing eggs occurred in pH 5.5 animals during the six-month experimental period. Obviously, the physiologically demanding condition of pH 5.5 was either not associated with an activation of the stress-signaling cascade responsible for production of male offspring [92,93] or males did not survive until maturity. The pH 6.0 animals, in contrast, were distinguished by the repeated occurrence of parthenogenic eggs with a white cover layer which probably resulted from a fungal infection. Although there are some reports on increased fungal parasitism in daphnids [94,95] and crayfish [82,96] under various stress conditions, it remains to be clarified whether acid stress leads to an increased susceptibility of daphnids to fungal parasites [97].

The role of acclimation in the tolerance to severe acid stress

The tolerance to a short-term exposure to severe acid stress (ambient pH 3–4) was examined in the control and acid-acclimated animals. The animals were initially exposed to their respective acclimation pH before the ambient pH was set to pH 4.0 and then to pH 3.0 (Figure 2). Upon exposure to ambient pH 4.0, all groups experienced an acidosis, but were able to stabilize their extracellular pH at a level 0.1–0.2 pH units below the respective pre-exposure value (Figure 2A). This response was caused by a 'metabolic acid load' of 7.0 meq L-1 (pH 7.8 animals), 4.5 meq L-1 (pH 6.0 animals), and 1.3 meq L-1 (pH 5.5 animals). While the fH remained unaffected in all groups (Figure 2B), diverging responses were found in fA (Figure 2C). The fA response spectrum comprised a transient depression in pH 7.8 animals, an irregular beating behavior in pH 6.0 animals, and a sustained beating activity in pH 5.5 animals.

thumbnailFigure 2. Tolerance to severe acid stress. Influence of ambient pH on in vivo hemolymph pH (A), heart rate (B) and appendage beating rate (C) of animals acclimated to pH 7.8 (open symbols), pH 6.0 (grey-filled symbols), and pH 5.5 (filled symbols). Data are given as means ± S.E. (N = 3–4). Dotted lines indicate a period of irregular limb beating activity. Each acclimation group was exposed to its acclimation pH during the initial and final phases of the experiment.

During the subsequent 18-min exposure to ambient pH 3.0, the pH homeostasis collapsed in all acclimation groups. The extracellular pH showed a progressive decline (Figure 2A), which corresponded to a net flux of acidic equivalents from the ambient medium into the hemolymph of 32 meq L-1 h-1 (pH 7.8 animals), 46 meq L-1 h-1 (pH 6.0 animals), and 16 meq L-1 h-1 (pH 5.5 animals). This massive net influx of acidic equivalents is in line with reports on the breakdown of ion regulation [34,35,98,99]. In D. magna, severe acid stress resulted in a 60–70% inhibition of the unidirectional sodium influx and a 130% increase in sodium outflux [34]. Within one hour, these animals lost 30–50% of their body sodium. The whole-body sodium concentration of D. magna is 26–41 mmol (kg wet mass)-1 [35,98,100,101], assuming a wet-to-dry mass ratio of 10:1 [102]. This whole-body concentration is consistent with a hemolymph concentration of 65 mM sodium [103], taking into account that the hemolymph comprises 60% of the body volume [102] and that the extracellular fluid contains the main portion of whole-body sodium. The estimated net efflux of sodium (20–30 mmol L-1 h-1) from the hemolymph of D. magna compares well with the net influx of acidic equivalents into the hemolymph of D. pulex (32 meq L-1 h-1 in control animals). This shows that the disturbance in acid-base balance mirrors the disturbance in ion regulation and vice versa.

During the exposure to ambient pH 3.0, the fA decreased strongly in all groups, whereas fH remained apparently unaffected (Figure 2B, C). However, the subsequent recovery period revealed a (somewhat delayed) heart arrest and a deformation of heart structure in the pH 7.8 and pH 6.0 animals. Their extracellular pH values during the recovery period remained 0.55 pH units below initial (pre-acid exposure) values. The pH 5.5 animals, in contrast, were able to reduce the difference between the pre- and post-exposure values to 0.16 units. This was the only group which survived the severe-acid test.

Of all acclimation groups, the pH 5.5 animals had the highest tolerance to severe acid stress as indicated by the lowest net influx of acidic equivalents (16 meq L-1 h-1). This implies a lower disturbance of extracellular ion regulation in the pH 5.5 animals compared to the other two acclimation groups, which may explain the unique ability to sustain heart-beating activity in the former and heart arrest in the latter. The results of the severe-acid test further suggest that the acclimation to ambient pH 5.5 induced a compensatory increase in active ion transport and/or a reduction in the epithelial permeability for sodium and hydrogen ions. However, the suggested reduction in epithelial ion permeability contrasts with the increased integumental permeability for respiratory gases arising from the impaired carapace formation. It therefore seems that active compensation in ion transport is the more likely defence mechanism.

Interdependence between acid-base balance and CO2 transport

Information on extracellular pH in the heart region and on hemolymph bicarbonate concentration made it possible to determine the local PCO2 in the pericardial hemolymph. In daphnids, the pericardial space receives hemolymph from the carapace lacuna, which is an important site of gas exchange [36,76], and from the dorsal lacuna, which is fed by the current leaving the intestinal lacuna [36]. In the carapace lacuna, the PCO2 is low due to the transintegumental diffusion of CO2 from the hemolymph into the ambient medium. In the intestinal lacuna (which traverses the body core region), the PCO2 is high because metabolically produced CO2 is released into the hemolymph. The local PCO2 in the pericardial space therefore assumes an intermediate value that lies between the two PCO2 extremes. The magnitude of the PCO2 differences in the circulatory system strongly depends on the presence or absence of a carbonic anhydrase (CA). In the absence of a CA, the interconversion between CO2 and proceeds slowly [104]. For example, a 25 mM bicarbonate solution with a non-bicarbonate buffer value of 2–10 meq L-1 pH-1 needs 3–12 s for a half-change in hydrogen concentration following the abrupt increase in PCO2 from 5 to 11 kPa [105]. These half-equilibration times apply to 37°C, so even longer would be needed at 20°C. Given a hemolymph circulation time of 21 s in a 2.5 mm D. magna at 20°C (cardiac output: 32 nl s-1 [74], hemolymph volume: 680 nl [102], it is clear that hemolymph passage time from the tissues to the respiratory surfaces is too short to bring the uncatalyzed CO2+H2O↔H++ reaction into full equilibrium. Under these circumstances, the main share of metabolically produced CO2 would be transported as physically dissolved gas rather than in the chemically combined form as bicarbonate with the consequence of relatively large PCO2 differences between the loading and unloading sites.

Knowledge about the presence or absence of a CA in the circulatory fluid is therefore fundamental for the understanding of CO2 transport and acid-base balance in daphnids. The reported absence of CA activity in the hemolymph of decapod crustaceans [106-109] prompted us to analyse the physiological implications of circulatory CO2 transport under uncatalyzed conditions in more detail. Based on established concepts of compartment modelling [110,111] and on own experiences in the simulation of whole-animal oxygen transport in daphnids [71,112], we derived a multi-compartment model of the CO2 diffusion-convection-reaction system (Figure 3C) to simulate the transport of CO2 from the tissue via the hemolymph to the ambient medium. To obtain a pH of 8.334 at the entrance of the inner hemolymph lacuna (Figure 3C), the Krogh constant for the diffusion of CO2 in chitin (K) was set to 2.10 × 10-6 nmol s-1 mm-1 kPa-1. To our knowledge, there are no experimental data in the literature on Krogh's diffusion constant for CO2 in chitin. Nevertheless, the chosen K value is plausible insofar as it is of the same order of magnitude as Krogh's diffusion constant for O2 in chitin (0.95 × 10-6 nmol s-1 mm-1 kPa-1) [113]. The similarity in both values seems to contradict the well-known fact that Krogh's diffusion constant for CO2 in water and aqueous tissues is 20–25 times higher than that for O2, a phenomenon that is explained by the higher capacitance (solubility) coefficient of CO2 in aqueous media [114]. The cuticle of arthropods, however, is primarily composed of chitin fibers which are embedded in a more or less hydrated protein matrix [115]. Among the different layers (epicuticle, exocuticle, endocuticle), the exocuticle is relatively dehydrated [115] and may therefore establish a similar diffusion barrier for O2 and CO2.

thumbnailFigure 3. Modelling and simulation of CO2 transport. (A) Reference topology based on a cylinder-within-tubes arrangement (R. Moenickes, O. Richter and R. Pirow, in preparation). A sector piece was removed to show the alternation of concentric hollow cylinders of tissue (gray) and hemolymph (red, green, blue). (B) Simplified topology with only one tissue layer. This topology is applied in the compartment model. (C) Compartment model of the relevant transport processes. CO2 is excreted from the tissue compartment of length dL into the inner and outer hemolymph (HL) lacuna at rates of (1-φ)FEx and φFEx. Hemolymph leaving the inner HL lacuna at a volume-flow rate is distributed between the outer HL lacuna and the carapace HL lacuna. From these compartments CO2 diffuses across cuticular barriers into the medium, which flows at a rate of . Indicated are the CO2 partial pressures (Phi, Pho, Phc, Pm) and flow velocities (νb, νf, νm) in the hemolymph lacunae and the medium. Pin is the inspiratory PCO2. (D) Simulation results for the uncatalyzed and catalyzed hydration of CO2 for an animal exposed to normal conditions (ambient pH = 8.0, ambient PCO2 = 0.035 kPa). Acid-base variables are shown for the medium and hemolymph lacunae in relation to the exchange coordinate.

The CO2 transport model made it possible to follow the changes in extracellular acid-base variables during a full circulation cycle (Figure 3D, uncatalyzed case). The extracellular PCO2 in the three hemolymph compartments varies largely between 0.13–0.94 kPa, whereas the extracellular pH remains confined to the narrow range of pH 8.32–8.35. The small changes in bicarbonate concentration (< 0.01 mM) reflect the slow interconversion between CO2 and . Compared to bicarbonate, the carbonate and non-bicarbonate buffers show concentration changes in opposite direction as they are involved in the buffering of hydrogen ions arising from the hydration of CO2 and subsequent dissociation of carbonic acid.

The simulation provides a plausible prediction of the extracellular CO2 and pH gradients that would develop in the absence of a hemolymph CA. However, a screening of the D. pulex genome database [116,117] unexpectedly revealed 31 genes with CA-like coding sequences (Table 4). These genes belong to two evolutionarily unrelated CA gene families (α-CA and β-CA) [118]. The derived amino-acid sequences were aligned with selected metazoan sequences (Additional files 1 and 2) [119-122] and classified in terms of their putative destination (Figure 4A, B) [123], based on sequence features and the known localization of CAs from crab [124], mosquito [125], and man [118]. The phylogenetic analysis of α-CA sequences showed a distinct separation between mitochondrial and cytoplasmic, CA-related, membrane-bound and transmembrane, and secretory proteins (Figure 4A). Among the 30 α-CAs from D. pulex were 25 sequences (CAA6A-H, CAA7A-Q) with an N-terminal signal peptide for secretory export. Seven of these putative extracellular isoforms are currently supported by EST data. So far, nothing is is known about the extracellular target sites. To account for the possibility of CA secretion into the hemolymph, we simulated a second scenario, in which a hemolymph CA accelerates the interconversion between CO2 and by a factor of 10000 [126], which is sufficiently large to establish an equilibrium. Krogh's diffusion constant for CO2 in chitin was slightly reduced to 1.30 × 10-6 nmol s-1 mm-1 kPa-1 to obtain a pH of 8.334 at the entrance of the inner hemolymph lacuna (Figure 3C). Compared to the uncatalyzed case, the catalyzed hydration/dehydration of CO2 significantly reduced the variations in extracellular PCO2 to the narrow range of 0.46–0.68 kPa (Figure 3D), indicating that less CO2 is transported as physically dissolved gas. Instead, more CO2 is transported in the chemically combined form as reflected by the large variation in bicarbonate concentration. Moreover, the extracellular pH varied substantially between the 'prebranchial' value of 8.25 (inner HL lacuna) and the 'postbranchial' value of 8.41 (carapace HL lacuna).

thumbnailFigure 4. Classification of CA-like amino acid sequences from Daphnia pulex. Phylogenetic trees for selected α-carbonic anhydrases (α-CAs) (A) and β-CAs (B) based on multiple-sequence alignments (Additional files 1 and 2). D. pulex sequences are shown in red; underlined labels indicate EST support. Three fragmentary sequences (CAA6A, CAA7B, CAA7L; Table 4) from D. pulex were excluded from the alignment. Additionally included were related sequences from the blue crab Callinectes sapidus (Cs), Drosophila melanogaster (Dm), Anopheles gambiae (Ag), Caenorhabditis elegans (Ce), sea urchin Strongylocentrotus purpuratus (Sp), Homo sapiens (Hs), the sea anemone Nematostella vectensis (Nv), and Pisum sativum (Ps). α-CAs were classified in terms of their putative destination into mitochondrial and cytoplasmic, CA-related, membrane-bound and transmembrane, and secretory proteins. CA-related proteins have lost most of the highly conserved active-site residues. Membrane-associated α-CAs have a C-terminal attachment signal for a glycosylphosphatidylinositol (GPI) anchor which tethers the extracellular protein to the cell membrane [123]. The trees were constructed using the neighbor-joining algorithm. Bootstrap analysis was performed with 1000 replicates (bootstrap values > 800 are indicated by filled circles). For sequence references, see Additional files 1 and 2.

Table 4. List of referred carbonic anhydrase-like proteins and gene models from D. pulex.

Additional file 1. Multiple sequence alignment of α-carbonic anhydrases. The α-CA sequences are divided into four groups according to similarity. Residues strictly conserved have a red background, residues well conserved within a group according to a Risler matrix [122] are indicated by red letters. Residues conserved between groups are boxed. Secondary structure elements of three human α-CAs are shown in blue on the top: helices with squiggles, beta strands with arrows, alpha and beta turns with TTT and TT letters. The numbering refers to HsCA2. Amino acid residues involved in zinc-binding and in the hydrogen-bonding network are indicated by red triangles. Yellow and orange backgrounds indicate mitochondrial targeting peptide or predicted signal peptides for secretory export. Pink and green backgrounds signify a transmembrane domain or potential glycosylphosphatidylinositol (GPI) anchor sites. Daphnia pulex sequences are indicated by red labels. Additionally included were related sequences from the blue crab Callinectes sapidus (Cs), Drosophila melanogaster (Dm), Anopheles gambiae (Ag), Caenorhabditis elegans (Ce), the sea urchin Strongylocentrotus purpuratus (Sp), and Homo sapiens (Hs). Sequences were aligned using the T-Coffee algorithm [158] and displayed with ESPript [120,161]. Sequence references, protein data bank (PDB) codes and NCBI accession numbers: Callinectes [124], Drosophila [119], Anopheles [125], HsCA2 (1CA2), HsCA4 (1ZNC), HsCA5A (NP_001730), HsCA6 (P23280), HsCA10 (AAH29865), HsCA12 (1JCZ), CeCAH2 (Q18932), SpCA8 (XP_795365), SpCAc (XP_782997), SpCA-RP (XP_784796), SpCA-GPI (XP_796525).

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Additional file 2. Multiple sequence alignment of β-carbonic anhydrases. Numbering and the secondary structure elements on the top refer to the β-CA from Pisum sativum (PsCAb) [121]. The other sequences are from Daphnia pulex (CAB), Drosophila melanogaster (DmCG11967), Anopheles gambiae (AgCAb), Caenorhabditis elegans (CeCAb1), sea urchin Strongylocentrotus purpuratus (SpCAb), and the sea anemone Nematostella vectensis (NvCAb). A column is framed in blue if more than 70% of its residues are similar according to physico-chemical properties. Similar residues are indicated by red letters; strictly conserved residues have a red background. Secondary structure elements are presented as follows: helices with squiggles, beta strands with arrows, alpha and beta turns with TTT and TT letters. Amino acid residues involved in zinc and substrate binding are indicated by red and blue triangles. Sequences were aligned using the T-Coffee algorithm [158] and displayed with ESPript [120,161]. Protein data bank (PDB) code and NCBI accession numbers: PsCAb (2EKJ), DmCG11967 (NP_649849), AgCAb (XP_563117), CeCAb1 (NP_741809), SpCAb (XP_786120), NvCAb (XP_001632619).

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The two simulated scenarios represent a coherent description of the physiological implications arising from the presence or absence of a CA in the hemolymph of D. pulex. The selected values for the global adjustment parameter K remain within reasonable bounds that made it impossible to put more weight to one of the two models. Nevertheless, the predicted extracellular PCO2 and pH gradients represent a working hypothesis that will be tested in subsequent experiments. pH imaging techniques, for example, should have the resolution power to detect a spatial in vivo gradient as large as 0.1–0.2 pH units to verify or falsify the assumption of CA activity in the circulatory system of D. pulex. Further in vivo experiments may include the application of a strong diffusible CA inhibitor or the microinjection of an exogenous CA [127].

Conclusion

Chronic acid exposure induced pronounced effects in extracellular pH, bicarbonate concentration and CO2 partial pressure, as well as in circulation, ventilation and energy metabolism. Compensatory changes in extracellular non-bicarbonate buffering capacity and the improved tolerance to severe acid stress indicated the activation of defense mechanisms. The physiological changes were associated with an impairment of carapace formation and with reductions in reserve materials and reproduction. Mechanistic analyses of the interdependence between extracellular acid-base balance and CO2 transport led to the identification and classification of 31 carbonic anhydrase isoforms which are encoded in the genome of D. pulex. The multitude of physiological information that can be acquired from these transparent crustaceans via optical techniques underlines the great advantage of Daphnia pulex as a model system for environmental studies. Proteomic analyses are underway to identify the molecular mechanisms and target genes involved in Daphnia's responses to a variety of environmental stresses including freshwater acidification.

Methods

Acclimation conditions

Animals were raised at 20°C in aerated M4 medium [128] under three different pH conditions at a 16 h:8 h L:D photoperiod. The control condition (7.8 ± 0.2, mean ± variation range) was manually adjusted twice a week using 0.005 M H2SO4 and 0.01 M NaOH. The pH 6.0 ± 0.1 condition was established by adding 5 mM MES buffer (2-morpholinoethansulfonic acid) to the medium. pH 5.5 ± 0.05 was maintained by a pH-Stat, which was equipped with a pH electrode (N 6000; Schott-Geräte GmbH, Mainz, Germany) and which controlled the addition of 0.05 M H2SO4 delivered by a peristaltic pump (Gilson ABIMED, Villiers, France).

The pH 7.8 and pH 6.0 animals were cultured in 2 L glass beakers (containing 1.8 L medium) at a density of 25–50 individuals (juveniles plus adults) per vessel. The pH 5.5 animals were kept in a 20 L glass aquarium (containing 8 L medium) at a density of 100–200 individuals. Surplus offspring were sorted out twice a week. Given the case of appearance, females with ephippia and males were sorted out, so that parthenogenesis and clonal reproduction was maintained. Animals were fed ad libitum with Desmodesmus subspicatus (final concentration: 15.5 × 104 cells per ml culturing medium) six times a week. To minimize the influence of algae on medium pH [129], sedimented food material was removed once (glass aquarium) or twice (glass beaker) a week. During this procedure, any algal surface buildup was removed by scrubbing the enclosures, and at least half of the medium was exchanged by fresh medium.

Analysis of hemolymph buffer curves

Hemolymph samples (0.2–1 μl per animal) were drawn as described elsewhere [73] and collected in ice-cooled 500 μl reaction vials. The pooled hemolymph (30–100 μl) was filtered (cellulose acetate syringe filters, 0.45 μm pore size; Nalgene, Rochester, NY), shortly centrifuged to remove any air bubbles, and finally kept on ice. Hemolymph buffer curves were measured with a micro-pH-electrode (MI-4152; Microelectrodes Inc., Bedford, U.S.A.) in a gas diffusion chamber [130] at 20°C. The pH electrode was linked to a pH-meter (MP 230, Mettler Toledo, Swiss) which transferred the data to a computer. Traceable NIST standard reference buffers (pH 6.88 and pH 9.23 at 20°C, type number: L 4798; Schott-Geräte GmbH) were used for calibration. Hemolymph samples of 5–10 μl were equilibrated with humidified gas mixtures of different CO2 partial pressure (PCO2 = 0.135–5.50 kPa). The gas mixtures were prepared from highly pure nitrogen (> 99.996%) and carbon dioxide (99.995%; Air Liquide, Düsseldorf, Germany) using a gas mixing pump (2 M 303/a-F Wösthoff oHG Bochum, Germany).

For analysis, the hemolymph of Daphnia was considered as a binary buffer system consisting of the carbonate system and a monoprotic non-bicarbonate buffer (HA ↔ H+ + A-). The dependence of pH on PCO2 for such a system is described by the following balance equation [131]

(1)

where {H+} is 10-pH, K'w (= 10-14 M) is the dissociation equilibrium constant of water, and SID represents the strong ion difference [132]. CA and K'A are the concentration and dissociation equilibrium constants of the non-bicarbonate buffer, whereas K'1 and K'2 represent the first and second dissociation equilibrium constants of the carbonate system. The physical solubility of CO2 in hemolymph (αCO2 = 0.3682 mmol l-1 kPa-1) was calculated according to a thermodynamic model [133,134], assuming a sodium concentration of 58 mM and a solution density of 1 g l-1. Operational pK'-values of the carbonate system (pK'1 = 6.325 ± 0.002, pK'2 = 10.47 ± 0.09; means ± S.E.) were determined from standard bicarbonate solutions (4, 8, 16 mM NaHCO3 plus 50 mM NaCl) using three equilibration steps (PCO2 = 0.13, 0.50, 2.0 kPa) (Additional file 3). These standard bicarbonate solutions were a valid representation of Daphnia hemolymph in terms of ionic strength which, besides protein concentration, affects the αCO2 and the pK'-values [131]. The influence of protein concentration on αCO2 was negligible because the proteins in Daphnia hemolymph occupy less than 1% of hemolymph volume.

Additional file 3. Determination of operational pK' values and correction for incomplete equilibration. This supplement describes experimental determination of pK'1 and pK'2 from standard bicarbonate solutions (4, 8, and 16 mM NaHCO3 plus 50 mM NaCl). It also outlines the analytical procedure for the correction of incomplete equilibration of bicarbonate and hemolymph samples at low CO2 partial pressures.

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Given the PCO2-pH data, parameter values for SID, CA and K'A were obtained by nonlinear least-squares data fitting. The analytical procedure additionally contained a correction for incomplete hemolymph equilibration at the lowest PCO2 step (Additional file 3). The concentrations of bicarbonate and carbonate are given by

(2)

and

(3)

The appropriateness of the operational parameter values for the calculation of bicarbonate was validated by the direct measurement of total CO2 in Triops cancriformis hemolymph (R. Pirow, unpublished data), whose ionic strength is comparable to that of Daphnia hemolymph. The non-bicarbonate buffer value (βA) was obtained from [131,135]

(4)

The buffer values of bicarbonate (βB) and carbonate (βC) were determined for the open-system condition [135,136], under which the hemolymph PCO2 is assumed to be held constant in vivo (as by the control of ventilation) [136]:

(5)

and

(6)

Finally, the concentration of acidic equivalents added to the hemolymph (ΔH+, 'metabolic acid load') [78] during acute exposure to severe acid stress was obtained from

(7)

where the subindices 1 and 2 refer to the concentrations before and during the exposure.

Microfluorometric set-up

Fluorescence measurements were performed with an inverted microscope (Axiovert 10, Carl Zeiss, Oberkochen, Germany) equipped with a monochromatic illumination system (T.I.L.L. Photonics, Planegg, Germany) and an imaging spectrograph (SpectraPro-275I, Acton Research Corporation, Acton, MA, USA). A 10 × objective (Plan Neofluar, Zeiss) was used for all experiments. The fluorescence light was transmitted by a quartz fibre-optic light guide to the imaging spectrograph, which was equipped with a thermoelectrically-cooled (-10°C) CCD camera (HLS 1024/64bi; Proscan elektronische Systeme GmbH, Lagerfeld, Germany) containing a highly-sensitive (back-thinned), 16-bit CCD chip (1024 × 58 pixels; S7031-1006, Hamamatsu Photonics, Herrsching am Ammersee, Germany). A CCD exposure time of 2 min was used for spectrum acquisition. Fluorescence emission spectra were smoothed with a span of 30 nm.

Calibration of cSNARF-1

A stock solution of 70-kDa dextran-coupled cSNARF-1 (D-3304, Molecular Probes, Inc., Oregon, USA) was prepared by dissolving 5 mg lyophilized dye in 250 μl sterile-filtered Milli-Q water (Millipore, Schwalbach, Germany). The stock solution was 1:20 diluted with a 10 mM NaHCO3 solution containing 50 mM NaCl. Given a conjugation ratio of 3–8 chromophore groups per dextran particle (Molecular Probes product information, 2003), the average concentration of cSNARF-1 in the calibration solution was 80 μM. Using the diffusion chamber and the microfluorometric set-up described above, a 10 μl sample was equilibrated with gas mixtures of different PCO2 (0.135–5.50 kPa). At the end of each equilibration step, a fluorescence spectrum and the sample pH were measured.

The CO2 titration of a bicarbonate-buffered cSNARF-1 solution containing additionally 50 mM NaCl had the advantage of calibrating the pH-sensitive dye in a chemical environment whose ionic composition is similar to that of Daphnia hemolymph (see Discussion). However, the chosen CO2 partial pressures were not sufficient to achieve pH extremes which could shift the dye into the fully protonated (acid) and deprotonated (base) forms (Figure 5A). Reiterative least-squares spectral resolution (Additional file 4) [137] was therefore employed to recover the spectra of the acid/base forms (Figure 5B) and the pK'a value of cSNARF-1. The calibration yielded a pK'a of 7.624 (Figure 5D).

thumbnailFigure 5. Calibration of cSNARF-1. Fluorescence emission spectra of a bicarbonate-buffered cSNARF-1 solution were acquired at various pH values (A). Fluorescence excitation was at 475 nm. Reiterative least-squares spectral resolution [137] (Additional file 4) was applied to the data to extract the spectra of the acid/base forms (B) and the pK'a value of cSNARF-1. The underlying model that relates the fraction of acid α to pH (D) is given by α = {H+}/(K'a + {H+}). The optimum pK'A value of 7.624 was reiteratively obtained by using the Nelder-Mead simplex algorithm [144]. The inclusion of an additive offset factor (E) and multiplicative scaling factor (F) into the optimization corrected for variations in CCD dark current, excitation light intensity, sample shape, and fluorophore concentration. The residuals (C) represent 'unexplained' spectral information (noise).

Additional file 4. Reiterative least-squares spectral resolution & multicomponent analysis. This supplement describes the reiterative least-squares spectral resolution, which was employed for the determination of the pK'a value and the acid/base spectra of cSNARF-1. It also outlines the multicomponent analysis, which was used to retrieve the in vivo pH from in vivo spectra of cSNARF.

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In vivo measurements

Adult females with a carapace length of 1.9–2.6 mm and parthenogenetic embryos of developmental stage 2 [138] were used. Animals were immobilized as described [73]. For cSNARF-1 microinjection, small glass capillaries (GB 120 F10, Science Products GmbH, Hofheim, Germany) were thinly drawn out with a micropipette puller (model 77; Sutter Instruments, Novato, CA, USA). 2 μl cSNARF-1 stock solution (1.57 mM) were loaded into the micropipette. The solution was microinjected (Transjector 5246; Eppendorf, Hamburg, Germany) through the basal joint membrane of one of the large antennae into the hemolymph space. The injection was followed using a stereomicroscope (SZH-ILLK; Olympus GmbH, Hamburg, Germany). After 2–6 hours of recovery in nutrient-free medium, the animal was transferred into a perfusion chamber as described elsewhere [73]. The flow rate of the perfusion medium was maintained at 5.5 ml min-1 using a peristaltic pump (MCP Standard ISM 404; Ismatec SA, Glattbrugg, Swiss). The initial pH of the perfusion medium corresponded to the acclimation pH of the animals. During the experiment, the animal was exposed to a stepwise variation in ambient pH using the following sequence: initial (acclimation) pH (33 min), pH 4.0 (35 min), pH 3.0 (18 min), and acclimation pH (34 min). All perfusion media were buffered using 5 mM HEPES (pH 7.8), 5 mM MES (pH 6.0), or 5 mM citrate (pH 5.5, 4.0, 3.0). The medium pH was continuously controlled using a pH electrode (N 6000). During the experiment, the fluorescence-spectrum acquisition alternated with the acquisition of video images of the animal under infrared transillumination. From these video sequences, the heart rate and appendage beating rate was determined by digital motion analysis as described elsewhere [73].

Analysis of in vivo cSNARF-1 spectra

cSNARF-1 fluorescence spectra were obtained from the hemolymph space around the heart region. Since all tested animals were in a fasting state, the in vivo spectra did not contain any noticeable contributions from ingested autofluorescing algae which, if present, would have seriously affected the pH determination. The excellent quality of the in vivo cSNARF-1 spectra (Figure 6A) made it possible to determine the in vivo pH with high precision using multicomponent analysis (Additional file 4) [139]. Since the in vivo spectra could not be fitted by the calibration spectra (Figure 5B), probably due to a calibration-inherent distortion of the acid spectrum around 600–700 nm, new acid/base spectra of cSNARF-1 were measured in Daphnia magna hemolymph. The hemolymph samples were acidified by equilibration with 100% CO2 gas and basified by the addition of NaOH under CO2-free gas conditions (100% N2). As a modification to the calibration experiment, the micro-pH-electrode was not inserted into the hemolymph samples to avoid any optical interferences. The obtained acid/base spectra (Figure 6B) were finally scaled to the peak-to-peak ratio of the calibration spectra (Figure 5B). The multicomponent analysis determined the fractional contribution (α) of the acid form of cSNARF-1 to the in vivo spectra. The pH was finally calculated from α and the pK'a value of cSNARF-1 (Figure 6D) according to

(8)

thumbnailFigure 6. Analysis of in vivo cSNARF-1 spectra. Example in vivo spectra (A) from a pH 7.8 acclimated Daphnia pulex exposed to ambient pH 7.8-3.0. The corresponding pH values were retrieved by a multicomponent analysis [139] (Additional file 4), which determines the composition of a mixture of components, given that the spectrum of each component is known. The component spectra (B) comprised the in vitro spectra of the acid/base forms of cSNARF-1 (measured in Daphnia hemolymph), a reference (autofluorescence) spectrum from non-injected animals, and an offset (background) spectrum. The multicomponent analysis yielded the fraction of the acid form (D), the relative chromophore (acid plus base) concentration (E), as well as the contributions of the reference and offset signals (F). The residuals (C) represent spectral information that could not be explained by the component signals.

Respiration measurements

The oxygen consumption rate () of a group of 3–4 animals (2.0–3.3 mm body length) carrying parthenogenetic embryos of developmental stage 1–2 [138] was measured at 20°C as described elsewhere [74]. The respiratory medium consisted of M4 medium containing 10 mM buffer (HEPES: pH 7.8, MES: pH 6.0, citrate: pH 5.5). Tetrazyclin and Streptomycin (12.5 mg l-1 each) was added to reduce bacterial respiration. The specific oxygen consumption rate was obtained by dividing the whole-animal oxygen consumption rate by the cubic body length.

Modelling of whole-animal CO2 transport

A topological model was derived from a geometric concept on convective-diffusive oxygen transport in daphnids [71,112]. In this concept, the animal's complex body is reduced to a cylindrical trunk which is wrapped by a hollow cylinder representing the carapace (Figure 3A). The carapace is a double-walled, hollow structure that is perfused with hemolymph. The hollow-cylindric space between the carapace and the trunk is occupied by the respiratory medium. As a simplification of the reference model (Figure 3A), the present model is composed of only five subdomains (Figure 3B). These are the inner hemolymph lacuna, a single tissue layer, the outer hemolymph lacuna, the respiratory medium, and the carapace hemolymph lacuna, as outlined in the conceptual overview of the compartment model (Figure 3C). Each subdomain has a total length L and is divided into N compartments of length dL.

The processes operating within each compartment and in between adjacent/connected compartments include (i) the excretion of CO2 from tissue into hemolymph, (ii) the CO2 hydration and acid-base reactions in hemolymph and medium, (iii) the convective transport of reaction species, and (iv) the diffusive transport of CO2 across cuticular barriers. A mathematical formulation of the physico-chemical processes is given for a single compartment of the outer hemolymph lacuna. For compartments of other subdomains, equations can be derived in an analogous manner.

(i) The rate (nmol s-1) at which CO2 is excreted from a tissue compartment of thickness dL into the outer hemolymph lacuna is φFex with

(9)

where is the whole-animal CO2 production rate. The factor φ is the fraction of excreted CO2 that is released into the outer hemolymph lacuna. The remaining fraction (1-φ) is received by the inner hemolymph lacuna.

(ii) The hydration and subsequent dissociation of CO2, its combination with OH-, and the dissociation of bicarbonate and the non-bicarbonate buffer HA are given by

The lower and upper-case ks represent kinetic and thermodynamic constants (Table 5), whereas μ is the factor by which the uncatalyzed interconversion between CO2 and is accelerated in the presence of a carbonic anhydrase. The turnover rates (mol L-1 s-1) of the forward and backward reactions are defined as

Table 5. Parameter values of the CO2 transport model.

(10)

(11)

(12)

(13)

(14)

(15)

(16)

(17)

The hydrogen activity, {H+}, was calculated from hydrogen concentration as {H+} = γH [H+]. The H+ activity coefficient (γH = 0.797) was determined for an ionic strength of 0.06 at 20°C using the Güntelberg approximation [140].

(iii) The net convective mass flow (nmol s-1) of each reaction species (X = H+, CO2, , , HA, A-) from the upstream compartment into the compartment in consideration is

(18)

where [X] and [X]upstream represent the species concentrations in the compartment in focus and in the upstream compartment. The factor ρ is the fraction of total hemolymph flow () that is fed into the outer hemolymph lacuna.

(iv) The rate (nmol s-1) of transcuticular CO2 diffusion, which depends on the difference in CO2 partial pressure between the outer HL lacuna (Pho) and the medium (Pm), is defined as

(19)

K is Krogh's diffusion coefficient, whereas Δxtr and AtrdL/L represents the thickness and surface area of the cuticular barrier at the hemolymph/medium interface.

The temporal changes in the concentration of all reaction partners for the specified compartment of volume V (= ρdLf) are expressed as

(20)

(21)

(22)

(23)

(24)

(25)

Parameter values (Table 5) related to geometry, convection and respiration were obtained from a reference model (R. Moenickes, O. Richter and R. Pirow, in preparation). All perfusion-related parameter values were set to 50% of the reference values to take the low heart rates of animals from the present study into account. The rate constants for the reaction of CO2 with H2O and OH- at 20°C were obtained from [141]. The acceleration factor (μ) was set to 10000 [126], which is sufficiently large to attain an equilibrium in the CO2+H2O↔H++ reaction. The protonation rate constant for the carbonate and the non-bicarbonate buffer was assumed to be of the magnitude of 1010 M-1 s-1 [111]. The dissociation equilibrium constants of all reaction species as well as the physical solubility of CO2 were taken from the present study. An operational value for Krogh's diffusion constant (K) for CO2 in chitin was chosen as such that the pH at the entrance of the inner hemolymph lacuna (Figure 3C) assumed a value of pH 8.334 under steady-state conditions. The cuticular barrier was assumed to be impermeable for all reaction species except CO2, and the medium compartment lacked a non-bicarbonate buffer. The initial conditions for the hemolymph were pH 8.334 and 0.556 kPa PCO2. The initial conditions of the medium compartment were set to the properties of the inspired medium (pH 8.06 and 0.035 kPa PCO2). A number of N = 50 compartments was chosen per subdomain. Starting with the initial conditions, the model status was allowed to evolve until quasi steady-state conditions (relative concentration changes < 10-6) were reached.

Statistics and Numerics

If not stated otherwise, data are expressed as means ± standard error, with N indicating the number of independent measurements. Differences in a physiological variable among the acclimation groups were checked using a one-way analysis on variance (ANOVA) or the Kruskal-Wallis test, depending on whether the data passed the normality test and the equal variance test. Statistical differences were considered as significant at P < 0.05. Multiple pairwise comparisons against the control (pH 7.8) group were performed using the Holm-Sidak test or Dunn's method, using an experimentwise significance level of 0.05. All statistical analyses were performed using SigmaStat (version 3.1; SPSS Inc.).

Numerical problems were solved in Matlab 7.0 (MathWorks, Inc.). The 'lsqnonlin' function (optimization toolbox) was used to fit the model in equation 1 to the PCO2-pH data. The uncertainty in the calculation of PCO2, given the pH and the calibration buffer curve, was determined by a nonlinear algorithm [142,143]. The 'rlowess' function (curve-fitting toolbox) was applied for the smoothing of spectra. In-built functions for matrix operations (including that for the calculation of the Moore-Penrose pseudoinverse) were used to implement the reiterative least-squares spectral resolution [137] and the multicomponent analysis [139] (Additional file 4), whereas the 'fminsearch' function (optimization toolbox) provided the Nelder-Mead simplex algorithm [144]. The nonlinear system of ordinary differential equations (ODEs) was numerically solved using the 'ode15s' solver for stiff problems.

Annotations, sequence alignments and phylogenetic analysis

The D. pulex genome database was screened for carbonic anhydrase-like sequences by a keyword search in the automatically-created annotations and by a 'blastp alignment search' of the Dappu v1.1 gene builds (July, 2007) [117]. All gene models containing carbonic anhydrase-like sequences were manually curated and annotated (Table 4). The derived amino-acid sequences were classified using the conserved domain database (CDD) and search engine v2.13 [145,146]. Homolog sequences from other organisms were retrieved using the blastp algorithm [147]. All sequences were checked for the presence of N-terminal signal peptides using the SignalP V3.0 server [148-150]. Potential GPI-anchor sites were identified by GPI-SOM [151,152], the big-PI Predictor [153,154] and FragAnchor [155,156]. Multiple-sequence alignments were performed using the T-Coffee algorithm [157-159] and displayed with ESPript [160,161]. Phylogenetic trees were constructed using the neighbor-joining algorithm [162] and a bootstrap analysis with 1000 replicates. Trees were visualized using iTOL [163,164].

Abbreviations

Aca: exchange surface area of the inner carapace cuticle; Atr: exchange surface area of the trunk cuticle; CA: concentration of the non-bicarbonate buffer; fA: appendage beating rate; fH: heart rate; FDc: rate of CO2 diffusion across the inner carapace cuticle; FDt: rate of CO2 diffusion across the trunk cuticle; FEx: CO2 excretion rate; FX: net convective mass flow (X = H+, CO2, , , HA, A-); K: Krogh's diffusion constant for CO2 in chitin; K'1: first dissociation equilibrium constant of the carbonate system; K'2: second dissociation equilibrium constants of the carbonate system; K'A: dissociation equilibrium constant of the non-bicarbonate buffer; K'a: dissociation equilibrium constant of cSNARF-1; K'w: dissociation equilibrium constant of water; k1, rate constant for CO2 hydration; k2: rate constant for the protonation of ; k3, rate constant for the reaction of CO2 with OH-; k-3: rate constant for the dissociation of into CO2 and OH-; k4: rate constant for the protonation of the non-bicarbonate buffer; L: length of the exchange coordinate; dL: compartment thickness; : whole-animal CO2 production rate; : volume-specific O2 consumption rate; PCO2: CO2 partial pressure; Pin: inspiratory CO2 partial pressure; Phi: CO2 partial pressure in the inner hemolymph lacuna; Pho: CO2 partial pressure in the outer hemolymph lacuna; Pm: CO2 partial pressure in the medium; pHin: pH values of the inspired medium; : perfusion rate; RY: turnover rates (Y = 1, -1, 2, -2, 3, -3, 4, -4); SID: strong ion difference; V: compartment volume; : medium flow rate; νb: hemolymph flow velocity in backward direction; νf: hemolymph flow velocity in forward direction; νm: medium flow velocity; α: fraction of acid; αCO2: physical solubility of CO2 in water and hemolymph; βA: non-bicarbonate buffer value; βB: bicarbonate buffer value; βC: carbonate buffer value; βT: total buffer value; ΔH+: metabolic acid load; Δxca: thickness of the inner carapace cuticle; Δxtr: thickness of the trunk cuticle; γH: H+ activity coefficient; ρ: fraction of total hemolymph flow entering the outer hemolymph lacuna; φ: fraction of CO2 excreted into the outer hemolymph lacuna; μ: acceleration factor for the interconversion between CO2 and .

Authors' contributions

AKW and RP conceived the study, carried out the methodical developments, and wrote the manuscript. AKW carried out the experiments. RP implemented the numerical tools, developed and implemented the CO2 transport model, and annotated the carbonic anhydrase genes. Both authors read and approved the final manuscript.

Acknowledgements

We thank Dr. Stefan Hetz (Humboldt-University of Berlin) for his generous and lasting loan. The expert technical contributions of Ina Buchen and Olaf Pinkhaus (University of Münster) are also gratefully acknowledged.

The sequencing and portions of the analyses were performed at the DOE Joint Genome Institute under the auspices of the U.S. Department of Energy's Office of Science, Biological and Environmental Research Program, and by the University of California, Lawrence Livermore National Laboratory under Contract No. W-7405-Eng-48, Lawrence Berkeley National Laboratory under Contract No. DE-AC02-05CH11231, Los Alamos National Laboratory under Contract No. W-7405-ENG-36 and in collaboration with the Daphnia Genomics Consortium (DGC) http://daphnia.cgb.indiana.edu. Additional analyses were performed by wFleaBase, developed at the Genome Informatics Lab of Indiana University with support to Don Gilbert from the National Science Foundation and the National Institutes of Health. Coordination infrastructure for the DGC is provided by The Center for Genomics and Bioinformatics at Indiana University, which is supported in part by the METACyt Initiative of Indiana University, funded in part through a major grant from the Lilly Endowment, Inc. Our work benefits from, and contributes to the Daphnia Genomics Consortium.

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