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Stochastic differential equation models for ion channel noise in Hodgkin-Huxley neurons

Stochastic differential equation models for ion channel noise in Hodgkin-Huxley neurons

The random transitions of ion channels between conducting and nonconducting states generate a source of internal fluctuations in a neuron, known as channel noise. The standard method for modeling the states of ion channels nonlinearly couples continuous-time Markov chains to a differential equation for voltage. Beginning with the work of …