On stochastic diff. eq. models for ion channel noise in Hodgkin-Huxley neurons (Goldwyn et al. 2010)

" ... We analyze three SDE models that have been proposed as approximations to the Markov chain model: one that describes the states of the ion channels and two that describe the states of the ion channel subunits. We show that the former channel-based approach can capture the distribution of channel noise and its effect on spiking in a Hodgkin-Huxley neuron model to a degree not previously demonstrated, but the latter two subunit-based approaches cannot. ..."

Model Type: Neuron or other electrically excitable cell; Channel/Receptor

Cell Type(s): Squid axon

Currents: I Sodium; I Potassium

Model Concept(s): Ion Channel Kinetics; Action Potentials; Methods; Noise Sensitivity

Simulation Environment: FORTRAN

Implementer(s): Goldwyn, Joshua [jhgoldwyn at gmail.com]


Goldwyn JH, Imennov NS, Famulare M, Shea-Brown E. (2011). Stochastic differential equation models for ion channel noise in Hodgkin-Huxley neurons. Physical review. E, Statistical, nonlinear, and soft matter physics 83 [PubMed]