PMID: 9433064Jan 20, 1998Paper

An algorithmic method for determining the kinetic system of receptor-channel complexes

Mathematical Biosciences
J M Chrétien, G A Chauvet

Abstract

The mathematical study of receptor-channel kinetics involving numerous sites and conformations of the channel calls for specific analytic methods generally based on stochastic formulation in terms of Markov processes. These methods allow the determination of the number of states from the experimental data. When the number of states is known, it is necessary to try numerous kinetic diagrams to find the best one. The construction of the kinetic diagram and the corresponding kinetic system are based on physiological hypotheses. When the number of states is large, the kinetic schema becomes difficult to establish. We present a method that uses an algorithmic scheme to deduce a kinetic system directly from physiological hypotheses. This method takes into account any number of ligands and sites. The set of all the states given by the combination of site occupation and channel conformations is reduced by using two types of hypothesis: (1) molecular constraints that specify the transitions physically possible between states and (2) kinetic considerations related to the assumed physiology of the system, which gives the conditions necessary for a transition between two states. These hypotheses are expressed in terms of rules operating on...Continue Reading

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Citations

Oct 7, 2009·Naunyn-Schmiedeberg's Archives of Pharmacology·A R ShaihutdinovaA I Skorinkin
Oct 17, 2007·European Biophysics Journal : EBJ·Konstantin OstroumovAndrey Skorinkin
Mar 6, 1999·Mathematical Biosciences·B Daya, G A Chauvet
Jun 18, 2003·The Journal of General Physiology·Andrei SkorinkinRashid Giniatullin
Mar 11, 2004·Journal of Integrative Neuroscience·Gilbert A Chauvet

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