Abstract
The stoichiometric and kinetic details of transmitter-receptor interaction (the number of conformations and the rate constants of conformation changes) in synaptic transmission have been investigated analyzing postsynaptic membrane noises by the aid of the fluctuation-dissipation theorem of stochastic chemical kinetics. The main assumptions are the following: (i) the transmitter-receptor interaction is modelled by a closed compartment system (a special complex chemical reaction) of unknown length,- (ii) the quantity of transmitter is maintained at a constant level,- (iii) the conductance is a linear function of the conformation quantity vector.- The main conclusion is: the conductance spectral density function is determined by three qualitatively different factors: (i) the length of the compartment system,- (ii) the precise form of the conductance-conformation quantity vector,-(iii) the matrix of the reaction rate constants.
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References
Anderson, C.R., Stevens, C.F.: Voltage clamp analysis of acetylcholine produced end-plate current fluctuation at frog neuromuscular junction. J. Physiol. (London) 235, 655–692 (1973)
Berlan, D., Viktorovitch, P., Kamarinos, G.: Noise measurements near electrical transition: critical working conditions of the unijunction transistor. Physica 92B, 85–88 (1977)
Berne, B.J., Pecora, R.: Dynamic light scattering. London, New York: Wiley 1976
Callen, H.B., Green, R.F.: On a theorem of irreversible thermodynamics. Phys. Rev. 86, 702–710 (1952)
Chen, Y., Hill, T.L.: Fluctuations and noise in kinetic systems. Application to K + channels in the squid axon. Biophys. J. 13, 1276–1295 (1973)
Chen, Y.: Fluctuations and noise in kinetic systems. II. Open ensembles at equilibrium and steady state. J. Chem. Phys. 59, 5810–5813 (1973)
Chen, Y.: Fluctuations and noise in kinetic systems. III. Cycling steady-state models. J. Theor. Biol. 55, 229–243 (1975a)
Chen, Y.: Matrix method for fluctuations and noise in kinetic systems. Proc. Nat. Acad. Sci. USA 72, 3807–3811 (1975b)
Chen, Y.: Differentiation of channel models by noise analysis. Biophys. J. 16, 965–971 (1976)
Chen, Y.: Fluctuations and noise in non-linear kinetic systems. J. Theor. Biol. 65, 357–367 (1977)
Clay, I.R., Shlesinger, M.F.: Unified theory of 1/f and conductance noise in nerve membrane. J. Theor. Biol. 66, 763–773 (1977)
Criss Hartzell, H., Kuffler, S.W., Stickgold, R., Yoshikami, D.: Synaptic excitation and inhibition resulting from direct action of acetylcholine on two types of chemoreceptors on individual amphibian parasympathetic neurones. J. Physiol. (London) 271, 817–846 (1977)
Érdi, P., Ropolyi, L., On the fluctuation-dissipation theorem of chemical kinetics. III. A neurobiological illustration. Magy. Kém. Folyóirat 84, 272–274 (1978) (in Hungarian)
Érdi, P., Ropolyi, L., Tóth, J.: An alternative hypothesis for the explanation of the miniature end-plate potentials. “The quantal cleft process” (submitted)
Érdi, P., Tóth, J.: On the fluctuation-dissipation theorem of chemical kinetics. II. Practical remarks. Magy. Kém. Folyóirat. 83, 50–51 (1977) (in Hungarian)
Fishman, H.H., Poussart, D.J.H., Moore, L.E.: Noise measurements in squid axon membrane. J. Membrane Biol. 24, 281–304 (1975)
Fowler, H.W., Fowler, F.G.: The concise Oxford dictionary of current english. Oxford: University Press 1964
Gray, E.G.: Microtubules in synapses of the retina. J. Neurocytol. 5, 361–370 (1976)
Katz, B., Miledi, R.: The statistical nature of acetylcholine potential and its molecular components. J. Physiol. (London) 224, 665–699 (1972)
Katz, B., Miledi, R.: The characteristics of “end-plate noise” produced by different depolarizing drugs. J. Physiol. (London) 230, 707–717 (1973a)
Katz, B., Miledi, R.: The binding of acetylcholine to receptors and its removal from the synaptic cleft. J. Physiol. (London) 231, 549–574 (1973b)
Katz, B., Miledi, R.: The effect of procaine on the action of acetylcholine at neuromuscular junction. J. Physiol. (London) 249, 269–284 (1975)
Krieger, I.M., Gans, P.J.: First-order stochastic processes. J. Chem. Phys. 32, 247–250 (1960)
Kubo, R.: Statistical-mechanical theory of irreversible processes. J. Phys. Soc. Japan 12, 570–586 (1957)
Kurtz, T.G.: The relationship between stochastic and deterministic models for chemical reactions. J. Chem. Phys. 57, 2976–2978 (1972)
Kusono, K., Miledi, R., Stinnakre, J.: Acetylcholine receptors in the oocyte membrane. Nature 270, 739–741 (1977)
Lamb, D., Simon, E.J.: Analysis of electrical noise in turtle cases. J. Physiol. (London) 272, 435–468 (1977)
Neher, E., Stevens, C.F.: Conductance fluctuations and ionic pores in membranes. Ann. Rev. Biophys. Bioeng. 6, 345–381 (1977)
Romine, W.O. Jr.: Studies in fluctuation analysis. I. On relation between rate constants and relaxation times in chemical systems and the multivariate power spectrum of noise and fluctuations. J. Chem. Phys. 64, 2350–2358 (1976)
Ruff, R.L.: A quantitative analysis of local anesthetic alteration of miniature end-plate currents and end-plate current fluctuations. J. Physiol. 264, 89–124 (1977)
Schwartz, E.A.: Voltage noise observed in rods of the turtle retina. J. Physiol. (London) 272, 217–246 (1977)
Sipos, T., Tóth, J., Érdi, P.: Stochastic simulation of chemical reaction by digital computer. I. The model. React. Kin. Catal. Lett. 1, 113–117 (1974)
Stevens, C.F.: Study of membrane permeability changes by fluctuation analysis. Nature 270, 391–396 (1977)
Tóth, J., Érdi, P.: On the fluctuation-dissipation theorem of chemical kinetics. I. Theoretical remarks. Magy. Kém. Folyóirat 83, 47–49 (1973) (in Hungarian)
Van der Kloot, W.: Quantal acetylcholine release: vesicles or gated channels: Gen. Pharmac. 8, 21–25 (1977)
Van Kampen, H.G.: Fluctuations in nonlinear systems. In: Fluctuation phenomena in solids, pp. 139–177. Burgess, A.E., ed. New York, London: Academic Press 1965
Verveen, A.A., De Felice, L.J.: Membrane noise. In: Prog. Biophys. Mol. Biol. Vol. 28, pp. 189–265. Butler, J.A.V., Noble, D. (eds.) Oxford, New York, Toronto, Sydney, Braunschweig: Pergamon Press 1974
Verveen, A.A., Derksen, M.E.: Fluctuations in membrane potential of axons and the problem of coding. Kybernetik 2, 152–160 (1965)
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Erdi, P., Ropolyi, L. Investigation of transmitter-receptor interactions by analyzing postsynaptic membrane noise using stochastic kinetics. Biol. Cybernetics 32, 41–45 (1979). https://doi.org/10.1007/BF00337450
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DOI: https://doi.org/10.1007/BF00337450