MicrObiology (1994), 140, 3241-3247 Printed in Great Britain Induction of rnyxospores in Stigmatella aurantiaca (myxobacteria) : analysis of inducer-inducer and inducer-inhibitor interactions by dose-response curves Klaus Gertht and Hans Reichenbacht Author for correspondence: Klaus Gerth. Tel: +49 531 6181 433. Fax: +49 531 6181 482. lnstitut fur Biologie II der Universitat Freiburg, LehrstuhI fur Mikrobiologie, Freiburg, Germany Theories and methods developed in molecular pharmacology for drug receptor interactions were used to explain artificially induced myxospore formation. The correlation between inducer concentrations and the yield of myxospores, i.e. the experimentally obtained dose-response curves, were much steeper than expected for an interaction based on mass action law. We postulate that the interaction of an inducer with one of the different receptors of the bacterial cell causes the production of a common stimulus which programmes the cells to turn into myxospores, if a threshold value is reached. Simultaneous addition of inducers of the same or of different inducer groups showed synergistic interactions. Inducer concentrations that by themselves were not inducing gave maximum myxospore formation when combined. Addition of pyrrole, a specific inhibitor, caused a concentration-dependent parallel shift of the glycerol dose-response curve. Compounds, inducers or inhibitors, with identical receptor specificities competed for the common receptor according to their affinity. Interactions of inducers with different receptor specificities could be predicted from calculations with a mathematical model of functional synergism. Keywords : myxobacteria, Stigmutellu uuruntiucu, dose-response curves, inducers and inhibitors, myxospore INTRODUCTION Myxospore formation in Stigmatella aurantiaca Sg a1 can be induced by a wide variety of chemicals which appear to interact with at least three different inducer-specific, independent receptors of the bacterial cell (Gerth e t al., 1993). Receptor-defective mutants M 13 (defective in receptor I), M 50 (defective in receptor 11) and M 16 (defective in receptors I1 and 111)were used to classify the 40 known inducers into four groups. The receptor hypothesis was further supported by the discovery of inhibitors of myxospore formation specific for glycerol receptor I, viz. pyrrole, oxindole and tert-butanol. The increased sensitivity of mutant M 20 specifically to inducers of group I, and the difference in the kinetics of myxospore formation between group I and I1 inducers, also support the hypothesis. The objective of this study t Present address: GBF, Gesellschaft fur Biotechnologische Forschung, Naturstoffbiologie, Mascheroder Weg 1, D-38124 Braunschweig, Federal Republic of Germany. 0001-9002 0 1994 SGM was to gain insights into the molecular basis of the interaction between inducers and receptors, into the competition and synergism between inducers of the same and of different inducer groups, and into the interference of inhibitors with the induction mechanism. Methods and theories developed in molecular pharmacology for drugreceptor interactions (Ariens, 1964) were applied to analyse the inducer-receptor interactions in 5’. awantzaca and the resulting signals leading to myxospore formation. METHODS Experimental organism and culture conditions. Stigmatellu uuruntiucu strain Sg a1 has been characterized, and the general conditions for its cultivation have been described in detail in our previous papers (Gerth & Reichenbach, 1978; Gerth e t ul., 1993). Dose-response curves. The bacteria were cultivated in 50 ml Casitone liquid medium (CLM) for 3 d, after which time the ODcz3of the culture was adjusted with fresh medium to 0.5 (1 cm cuvette, Eppendorf filter photometer). T o obtain the Downloaded from www.microbiologyresearch.org by IP: 88.99.165.207 On: Sat, 17 Jun 2017 19:09:11 3241 K. G E R T H a n d H. R E I C H E N B A C H desired inducer or inhibitor concentrations, different volumes of the respective stock solutions were pipetted into 100 ml sterile Erlenmeyer flasks and adjusted to a constant volume of 1 ml with distilled water. Then 9 ml of the diluted bacterial culture was added, and the flasks were incubated for 2 h at 32 “C on a rotary shaker. T o separate vegetative cells from myxospores, the cultures were treated with ultrasound at 1.6 A for 30 s (MSE Ultrasonic Power Unit). While vegetative cells were completely destroyed, the myxospores remained intact. Then the suspension was centrifuged at 6000 r.p.m., and the pellet was suspended in 1 ml cold medium and carefully pipetted on top of 2 ml of a 30% (w/v) sucrose solution layered over 2 ml of a 40 O h solution in :i centrifugation tube. T o prevent clumping of the myxosporea; during sedimentation, 2-5YO(w/v) NaCl was added to the sugar solutions. After centrifugation at 5000 r.p.m. for 15 min, the sedimented myxospores were separated from all debris. The pellet was resuspended in fresh medium, the OD,,, read, and the number of myxospores determined from a calibration curve. The percentage of myxospores was calculated from the number of vegetative cells before induction. About 10-15% of the myxospores were lost during the procedure. Definition and calculation of intrinsic activities. In order to produce an effect, an inducer must interact with a specific receptor, i.e. it must have an affinity (defined as l/K,) to the receptor. Also, the inducer must interact in an effective way, i.e. it must have what is called an intrinsic activity. The intrinsic activity a of a drug is expressed as a fraction of the intrinsic activity of some reference compound, the intrinsic activity of which is taken as unity. T h s reference compound is able to produce the maximum effect Em(Ariens, 1964). To measure the intrinsic activity of an inducer, the maximum yield of myxospores was determined for the compound as the mean value of several parallel measurements performed under optimal nduction conditions. The reference compound for induced myxospore formation was indoline, with a myxospore yield of 81 Yo (Em= 1). Constant of inducer-receptor association. This constant, K , (for compound A), is defined as the molar concentration of an inducer that gives the half-maximum response ( K , = [A] for E,: Em= 0.5). T o determine the constants for inducers acting simultaneously on more than one receptor, mutants defective in one of the receptors (M 13 or M 50) were used (Gerth e t al., 1993). Calculation of dose-response curves. If the values for K, and for intrinsic activity (a) of an inducer are known, the dose response curve based on mass action law can be calculated E, = ‘A Em +(KA/[AI) (1) Determination of Hill coefficients. The Hill coefficient is an often-used measure of deviations from hyperbolic behaviour in binding systems (Ariens, 1964; Jard e t al., 1968). log (E, [YO]/ Em[%]-E, [%I) is plotted against the log of inducer concentrations on the abscissa. The slope of the resulting straight line, which is defined as the Hill coefficient, n, is 1 jf the dose-response curve obeys mass action law. Calculation of competitive interactions. O n the basis of mass action law, the effect, EAB,of the combined inducers A and B (or inducer A and inhibitor B) competing for the same receptor may be expressed as a fraction of the maximum effect. For our calculations, we used E,, = 50Y0, because at this point the effector concentration of the theoretical curve, based on mass action law, and that of the sigmoidal experimental curves 3242 coincide. The contributions of compound A and compound B to their common effect are determined by their concentrations [A] and [B], the constants K , and KB, and their intrinsic activities a, and aB (Ariens, 1964). If five of the parameters are known, the remaining one, e.g. the association constant of an inhibitor, can be calculated from equation 2. Calculation of functional synergism. In the case of a functional interaction, two inducers, A and Byeach interact with their own specific receptor system, R, and RB, respectively, but produce their effect by means of a common stimulus. The resulting effect can be expressed by Definition of trigger value and threshold value. An all-ornone relation between stimulus and effect is assumed, because the cell only can or cannot form a myxospore. This means that an effect is produced only if the stimulus reaches a critical value, the trigger value z. As a consequence of biological variation within a large population of bacterial cells, no sharp threshold value will be observed for the culture. Rather, a ‘graded’ log dose-response curve is obtained, the slope of which is determined by statistical variation of the individual trigger values of the single cells due to biological variance (Ariens, 1964). RESULTS Dose-response curves The effect of increasing glycerol concentrations on the yield of ultrasound-resistant myxospores is shown in Fig. 1. The slope of the experimentally determined doseresponse curve was much steeper than that of the theoretical curve calculated on the basis of mass action law (equation 1). This was also corroborated by a Hill coefficient of n = 8-4 rather than n = 1. For the very efficient inducer indole (Gerth e t a/., 1993), we obtained three different curves for the wild strain and two receptor-defective mutants (Fig. 2). The half-maximum yield of myxospores was obtained at a concentration of 0.062 mM with the wild strain Sg a l , and at 0.088 with mutant M 50. Mutant M13 was much less sensitive: the required concentration was 4.5 times higher than that for the wild strain. In contrast to the results with indole, the dose-response curves of 2-propanol-induced myxospore formation were identical for the wild strain and mutant M 13. In this case the concentration for half-maximum myxospore induction was increased with mutant M 50 by a factor of two (Fig. 3). Intrinsic activities While the efficiency of myxospore induction was similar for the compounds mentioned so far, with an intrinsic activity close to 1,there were some inducers that possessed Downloaded from www.microbiologyresearch.org by IP: 88.99.165.207 On: Sat, 17 Jun 2017 19:09:11 Induction of myxospores in Stigmatella aurantiaca 80 I 100 4Y n S 80 v 60 .-5 601 6 Y- $ 40- 2 - s r" 20 - 20 f 0.01 . . . . . . . .' . ' " * . * * I 0.1 1 Glycerol (M) . . . . . . . .I YI I 5 10 1 10 20 30 2-Propanol (mM) 40 50 ........................................................................................................................................................ .......................................................................................................................................................... Fig, 1. Dose-response curves of myxospore induction with glycerol with the wild strain: 0 , experimentally determined calculated on the basis of mass (Hill coefficient, n = 8.4); 0, action law with the values taken from the experimental curve (Hill coefficient, n = 1). Fig. 3. Dose-response curves of myxospore induction with 2propanol: 0, wild strain and M 13; 0, mutant M 50. .- +.' rn I 40 loo S 80 v n C .-0 c, 60 - b 100 "1 0 Y- $P 4 0 - Inducer (mM) VI 2 r" 20 - t 01 0.01 Fig- 4. Dose-response curves of inducers with low intrinsic activity: 0,KCI (intrinsic activity = 0-38); 0 , proline (intrinsic activity = 0.63). d I 0.1 lndole (mM) 1 ........................................................................................................................................................ Fig. 2. Dose-response curves of myxospore induction with mutant M 50 defective indole: 0 , wild strain ( K A = 0.062); 0, at receptor II ( K A = 0.088); V, mutant M 13 defective a t receptor I ( K A = 0.28). a much lower intrinsic activity. Among those were 2methylindole, with an intrinsic activity of a = 0.75; proline, with a = 0.63; and KC1, with 01 = 0.38, the lowest intrinsic activity observed (Fig. 4). The intrinsic activities and association constants of selected inducers and inhibitors are summarized in Table 1. that concentration ethylene glycol alone could induce only 10-15% of the cells to convert into myxospores, simultaneous addition of glycerol at concentrations between 10 and 70 mM, which were not inducing by themselves, resulted in a typical dose-response curve. Maximum yield could be obtained. The interaction can be calculated for half-maximum myxospore formation using equation 2. Experimentally, we found a glycerol concentration of 37 mM, which was in good agreement with the calculated 31.5 mM. Interaction of inducers of myxospore formation Inducers which differed with respect to their receptors, their intrinsic activities and their inducing concentrations, e.g. 2-phenylethanol and NaC1, were also synergistic (Fig. 6). The maximum effect of an 82% yield of myxospores was reached with 4 mM 2-phenylethanol and 30mM NaCl. Ethylene glycol when applied at a constant concentration of 136.5 mM showed a strong synergistic effect with increasing concentrations of glycerol (Fig. 5). While at The synergism between low concentrations of tertbutanol, a compound that at high concentrations induces via receptors I1 and 111, and increasing concentrations of Downloaded from www.microbiologyresearch.org by IP: 88.99.165.207 On: Sat, 17 Jun 2017 19:09:11 3243 I<. G E R T H a n d H. REICHENBACH Table 1. Summary of intrinsic activities (a) and association constants (K,) of selected inducers and inhibitors of myxospore formation Compound loo I Intrinsic Interaction Association activity with constant receptor (mM) Ethylene glycol Dimethyl sulfoxide Glycerol P yrrole Oxindole 2,3-Benzofuran Indole 2-Phen ylet hanol Indoline 2-Methylindole I I I I I I I I1 I1 I1 I1 0914 0.97 0.984 0 0 0.956 0.984 0.984 0.898 1.0 0.75 166 118 100 2.35' 0.273* 0.08 0.088 0.28 4.8 2.4 0.4 * Values calculated as described in Methods. "1 10 Inducer (mM) 100 Fig. 6. Synergistic effects of inducers of groups I and II: 0, dose-response curve with constant 2-phenylethanol (4 mM) and increasing NaCl concentrations; V, induction with 2phenylethanol; 0, induction with NaCI. induction was only marginal: at low concentrations a slight synergistic effect was observed ;at higher concentrations maximum yield was reduced to 45 %. n S 80- Interaction of inducers and inhibitors of myxospore formation v C .-0 z +, L 60 - The effect of pyrrole on glycerol-induced myxospore formation is shown in Fig. 9. The resulting dose-response curves were shifted to higher inducer concentrations as the pyrrole concentration applied was increased. The yield of myxospores remained unaffected. 0 Y- e 40- . s r" 20 I O'-10 ' 100 Inducer (mM) * ' """ .................................................................................. ........................................................................ Fig. 5. Synergistic effects of inducers of inducer group I: 0, dose-response curve with constant ethylene glycol (136.5 mM) and increasing glycerol concentrations; 0,induction with glycerol; V, induction with ethylene glycol. NaCl is shown in Fig. 7 . With the receptor 11-deficient mutant M 50, a maximum effect of 65 % myxospores was obtained with 23 mM NaCl and 16 mM tert-butanol, concentrations that are not inducing by themselves. A further increase in NaCl concentration reduced the efficiency of myxospore formation. Glycerol and NaCl showed totally different patterns of interaction with tert-butanol (Fig. 8). While glycerolinduced myxospore formation declined sharply with increasing tert-butanol concentrations, the effect on NaCl 3244 Calculation of the association constant KAof oxindole The dose-response curves of glycerol induction in the presence of two different concentrations of the inhibitor oxindole were experimentally determined (not shown), and the glycerol concentrations that were required for half-maximum myxospore formation were taken from these curves. We used the following values for our calculations : Association constant of glycerol: Kglycerol= 0.1 M (Table 1) Intrinsic activity of glycerol : (Table 1) aG = 0.984 Intrinsic activity of oxindole : a, = 0 Oxindole concentrations used: B, = 0.2 mM B, = 0.3 mM The glycerol concentrations required for half-maximum yields of myxospores in the presence of the given inhibitor Downloaded from www.microbiologyresearch.org by IP: 88.99.165.207 On: Sat, 17 Jun 2017 19:09:11 Induction of myxospores in Stigmatella aurantiaca loo i I loo 0' ' ' Inducer (mM) ,, .....,... . . . . I 1000 100 Glycerol (mM) ....,...,.....,......,,,................................................... . ...,.,.. ..... ...... ............ ..........................., Fig. 7. Synergistic effects of inducers of group I and Ill. Mutant M 50, defective a t receptor II, was used to investigate the interaction of inducers acting simultaneously on receptors I and 111: 0 , dose-response curve with constant tert-butanol (16 mM) and increasing NaCl concentrations; 0, induction with NaCl; induction with tert-butanol. ................................................................................................................................................ ......... Fig. 9. Glycerol-induced myxospore formation in the presence in the presence of of pyrrole: 0 , control without pyrrole; 0, 1.82 mM pyrrole; V,in the presence of 3.64 mM pyrrole. v, 100 I n S 80- W C .-0 i 60- c, b 'c 40- s f . . r"s 20- ( t " 0.1 O 4 10 100 tert-Butanol (mM) Fig. 8. Effect of increasing concentrations of tert-butanol on glycerol- and NaCI-induced myxospore formation : 0 , induction with NaCl (55 mM); 0, induction with glycerol (136 mM). lndole (mM) 1 Fig. 10. Effect of oxindole (0.4 mM) on indole-induced myxospore formation. A dissociation constant of K, = 0.17 was determined from this curve. response curve (Fig. 10). The experimental value of 0.17 mM was in good agreement with the calculated one. DISCUSSION concentrations were: A, = 182 mM; A, = 215 mM. The association constants of oxindole were calculated using equation 2. The mean value was Koxindole= 0.273 mM (s = 0-007). The reliability of this value was corroborated with a different set of experimental conditions. From the experimentally determined value of KA = 0.062 mM (Fig. 2) for the wild strain Sg a1 we calculated the indole concentration which would be necessary for half-maximum spore formation in the presence of 0.4 mM oxindole. This calculated value of 0.1 58 mM was compared with the concentration determined experimentally from a dose- In order to interact with a receptor, the inducer must have an affinity to it, which is defined as the reciprocal of the association constant KA. The lower the affinity, the higher is the concentration required for myxospore induction. The association constants of the myxospore inducers varied between 166 mM for ethylene glycol and 0.088 mM for indole (Table 1). For myxospore induction the inducer-receptor complex must produce a stimulus, measured as the inducer's intrinsic activity. Some inducers, such as proline, induced only a certain proportion of the cells in the culture to form myxospores (Fig. 4). A further concentration increase Downloaded from www.microbiologyresearch.org by IP: 88.99.165.207 On: Sat, 17 Jun 2017 19:09:11 3245 K. G E R T H a n d H. R E I C H E N B A C H from 100 to 200 mM had no effect on the yield. Thus, proline is an inducer with a low intrinsic activity in spite of its fairly low K A of 65 mM. NaC1, which also had a low intrinsic activity, behaved differently. The dose-response curve had the shape of an optimum curve (Fig. 6), suggesting that at higher salt concentrations toxic effects may interfere with metabolism and prevent myxospore formation. While a typical dose-response curve was obtained for glycerol-induced myxospore formation (Fig. l), the experimental curve (with a Hill coefficient of 8.4) was much steeper than the calculated one (Hill coefficient 1). The result is not in agreement with the mass action law. However, the result can be explained by postulating that the conversion of a vegetatively growing cell into a myxospore is induced only if a ‘trigger value’ for the induction is surpassed. The ‘graded ’ log dose-response curves obtained with bacterial cultures do not exclude such an all-or-none response. The slope could be due to biological variance of the individual trigger values of a large number of single cells. As shown previously (Gerth e t al., 1993) the inducers fall into distinct groups. Glycerol and ethylene glycol are both inducers of the group which interacts with the hypothetical (glycerol) receptor I. Inducers of the same group would compete for the common receptor according to their affinity; the resulting dose-response curves run parallel to one another. It is not the concentration of the individual inducer, but the common stimulus produced by the inducer-receptor complexes, that triggers myxospore formation (Fig. 5). The experimentally determined and the calculated glycerol concentrations required for half-maximum yield are in good agreement with the theory of competitive agonists. A compound with low intrinsic activity but high affinity would be a competitive inhibitor of myxospore formation. Pyrrole caused a parallel shift of the log dose-response curve for glycerol to higher inducer concentrations (Fig. 9). But the effect of the inhibitor was overcome by a higher glycerol concentration, showing competition between glycerol and pyrrole. A non-competitive inhibitor would decrease the maximum yield of myxospores, and this inhibition would be insurmountable. The association constant of another inhibitor of the glycerol receptor, oxindole, was calculated using equation 2 and COTroborated experimentally (Fig. 10). Myxospore induction as a result of inducer-inducer as well as inducer-inhibitor interactions at (glycerol) receptor I can be explained with a simplified model of competitive interaction. Synergism between compounds which induce myxospore formation via independent receptors, e.g. NaCl (receptor I) and 2-phenylethanol (receptor II), is also possible (Fig. 6). Completely different and physiologically independent pathways for the conversion of vegetative cells into myxospores are not likely, and indeed no numerically additive effect, as would be expected under such circumstances, was observed in our experiments. Thus, the simultaneous addition of 4 mM 2phenylethanol and 33 mM NaCl, each weakly inducing by 3246 itself, caused 82 % of the cells to convert into myxospores. We therefore postulate a functional synergism, in which the inducers interact with their own receptors R, and R,,, each producing its effect by means of the same type of stimulus. The above considerations were also true for the synergistic effects between NaCl and tert-butanol, a compound which induces via receptors I1 and 111. This could be seen when mutant M 50, defective in receptor 11, was used. The concentrations of tert-butanol and NaCl used by themselves did not induce myxospores at all. Toxic effects of increasing salt concentrations explain the decline in the overall yield of myxospores (Fig. 7). Some compounds induced sporulation by acting simultaneously on two different, specific receptors. The dose-response curves of 2-propanol, an inducer of group I11 (see below), were identical for the wild strain Sg a1 and mutant M 13, defective in receptor I. Thus, 2-propanol did not use receptor I for induction. With M 50, mutated in receptor 11, an increased concentration of 2-propanol was required for induction (Fig. 3) demonstrating that receptor I1 and receptor I11 are both used for induction by this compound. Indole, one of the most potent inducers discovered so far, induced myxospores with all types of receptor mutants, e.g. M 13, M 50 and M 16. A higher indole concentration was required to induce the receptor I mutant M 13 than for the receptor I1 mutant M 50 (Fig. 2), indicating that receptor I is used preferentially. The response of the wild strain represents a synergism of receptor I and receptor I1 effects. We can use equation 2 to calculate the combined effect of the receptors. The dissociation constants of the receptors are taken from Fig. 2, the intrinsic activities from Table 1. The indole concentration required for Sg a1 to give E,/2 was experimentally determined to be 0.062 mM and calculated to be 0.059 mM, which supports the hypothesis of functional synergism. As described previously (Gerth e t al., 1993), the group I11 inducers tert-butanol and 2-propanol are not only inducers at receptors I1 and 111, but at concentrations below those causing induction also inhibit receptor I. tertButanol caused a decline in the efficiency of glycerol induction to almost zero, but induction with NaCl remained more or less unaffected (Fig. 8). Since glycerol and NaCl interact with the same receptor I, we must assume a fundamental difference between the interactions of the two molecules with the receptor, such as hydrogen bonding in one case and ionic interaction in the other. In molecular pharmacology, a molecule is regarded formally as possessing two different domains, one conferring affinity for the receptor, and another determining intrinsic activity (Ariens, 1964). We suggest that the situation is similar with inducers of myxospore formation. tert-Butanol has only the moiety responsible for the affinity for receptor I, but no intrinsic activity. It thus becomes an inhibitor for receptor I. In contrast, the small, positively charged sodium ion may interact only with that region of the receptor which is responsible for the production of the internal signal or stimulus, and so the ion possesses only intrinsic activity. An inhibitor that Downloaded from www.microbiologyresearch.org by IP: 88.99.165.207 On: Sat, 17 Jun 2017 19:09:11 Induction of myxospores in Stigmatella awantiaca Table 2. Correlation between chemical structure and receptor specifity Inducer tert-Butanol y receptor I11 KA receptor I K A receptor I1 (MI (MI (MI 1o* 72 91 12.8 0 0 3.1 0 KA 3 HO-C-CH, I CH3 tert-Butylamine CH3 I NH,’-C-CH, I CH3 2-Phenylpro panol 0 * Inhibitor at receptor I occupies a certain binding region of the receptor would not necessarily prevent induction by a compound that acted directly on the active centre of the receptor. If a positive charge was required for intrinsic activity at receptor I, it might be possible to convert by chemical modification a non-inducing compound that can bind to the receptor (i.e. a competitive inhibitor) into an inducer. Replacement of the hydroxyl group of tert-butanol by a positively charged amino group, forming tert-butylamine, produced an inducer at receptor I. The two compounds had approximately the same affinity for receptor I, but the amine had lost its affinity for receptors I1 and I11 (Table 2). 2-Phenylpropanol can be regarded as a tert-butanol molecule with one methyl group in position 2 replaced by an aromatic ring. By this substitution, tert-butanol, which induces via receptor I11 at high concentrations, has become more lipophilic, a quality which is important for interactions with receptor I1 (Gerth etal., 1993). In fact, 2phenylpropanol has a high affinity for receptor I1 and at the same time has lost all affinity for receptors I and 111. Thus, even with these small inducer molecules it is possible to differentiate between a moiety responsible for affinity and a moiety responsible for intrinsic activity. ACKNOWLEDGEMENTS We want t o thank the Deutsche Forschungsgemeinschaft and the Sonderforschungsbereich 46 ‘ Molekulare Grundlagen der Entwicklung ’ for their financial support. REFERENCES Ariens, E. J. (editor) (1964). Mofectlfar Pharmacology, vol. 1. New York & London: Academic Press. Getth, K. & Reichenbach, H. (1978). Induction of myxospore formation in Stigmatefla atlrantiaca (Myxobacterales). Arch Microbiof 117, 173-182. Getth, K., Metzger, R. & Reichenbach, H. (1993). Induction of myxospores in Stigmatella atlrantiaca (myxobacteria) : inducers and inhibitors of myxospore formation, and mutants with a changed sporulation behaviour. J Gen Microbiof 139, 865-871. Jard, S., Bastide, F. & Morel, F. (1968). Analyse de la relation ‘doseeffect biologique ’ pour l’action de l’ocytocine et de la noradrenaline sur la peau et la vessie de la grenouille. Biochim Biopbys A c t a 150, 124-130. Received 17 February 1994; revised 22 July 1994; accepted 5 August 1994. Downloaded from www.microbiologyresearch.org by IP: 88.99.165.207 On: Sat, 17 Jun 2017 19:09:11 3247
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