Original Article

Two-state stochastic models for memory in ion channels

Ji-Qian Fang, Tao-Yang Ni, Cheng-Zhu Fu, Qing Fan, Yong-Yuan Guan

Abstract

AIM: To study quantitatively the memory existing in ion channels.
METHODS: Stochastic processes were used to model 2 categories of memory (short-term and long-term) by persisting in the standpoint of two-state, instead of multiple states, but with different transition mechanism.
RESULTS: A two-state Markov process with constant transition intensities well fitted the short-term memory and a two-state Markov process within a kind of random environment well fitted the long-term memory. Statistical procedures for parameter estimation were proposed and demonstrated with 2 real examples on the channels of PC12 cells.
CONCLUSION: The memory in ion channels can be quantitatively modelled as stochastic process with 2 states.
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