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Am J Physiol Gastrointest Liver Physiol (June 4, 2003). doi:10.1152/ajpgi.00145.2003
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Submitted on March 27, 2003
Accepted on May 28, 2003

A mathematical description of regenerative potentials recorded from the circular smooth muscle of guinea-pig antrum

F. R. Edwards1* and G. D. S. Hirst1

1 Department of Zoology, University of Melbourne, Melbourne, Victoria, Australia

* To whom correspondence should be addressed. E-mail: fre{at}unimelb.edu.au.

Regenerative potentials evoked by intracellular current injection in single bundles of circular smooth muscle taken from guinea-pig antrum have the characteristics of the secondary regenerative component of the slow wave occurring in the same muscle layer. Such regenerative depolarizations might result from a mechanism that responds to membrane polarization with a delayed increase in the rate of production of unitary potentials which are detected in this tissue. To test this possibility, a two-stage reaction leading to the formation of an intracellular messenger is proposed. The first forward reaction is voltage-dependent, in the manner described by the Hodgkin-Huxley transient Na conductance formalism, allowing simulation of anode break excitation, stimulus threshold strength-duration characteristics and refractory behavior. A conventional dose-effect relation is proposed to describe the dependence of the mean rate of discharge of unitary potentials on messenger concentration. Unitary potentials are modeled as unitary membrane conductance modulations with an empirically derived amplitude distribution and Poisson distributed intervals. The model reproduces a range of spontaneous and evoked membrane potential changes which are characteristic of antral circular muscle bundles.




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