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Markov models of ionic channels

romainbrette edited this page Apr 19, 2016 · 9 revisions

Currently, Brian is designed mainly for Hodgkin-Huxley type models. It is possible to write a Markov model of ionic channel, but it is neither convenient nor very accurate. Here I am only considering deterministic (not stochastic) models.

Syntax

A Markov model consists of states and transition rates between them, which are typically voltage-dependent, but could also depend on concentrations (ions or ligands). Here I only consider models that are expressed as a graph between states. For example, one might consider the following two-state model:

C <-> O

with