Stochastic modelling of a neuron with the Hodgkin-Huxley model and its equivalent Markov description

Abstract

Neurons are excitable cells which display fundamentally stochastic dynamics. In this work, we provide insights into their behavior and the role of stochasticity in their functioning. Starting from a conductance-based model, namely the Hodgkin-Huxley model, we first describe and simulate the action potential and then introduce external noise to the neurons as a Gaussian variable. Then, we move on to a Markov chain model to describe the dynamics of the ionic channels in a more accurate way and identify the intrinsic noise of the neurons with the stochasticity of the aforementionned channels2022/202

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