Hodgkin–Huxley model with fractional gating (Teka et al. 2016)

We use fractional order derivatives to model the kinetic dynamics of the gate variables for the potassium and sodium conductances of the Hodgkin-Huxley model. Our results show that power-law dynamics of the different gate variables result in a wide range of action potential shapes and spiking patterns, even in the case where the model was stimulated with constant current. As a consequence, power-law behaving conductances result in an increase in the number of spiking patterns a neuron can generate and, we propose, expand the computational capacity of the neuron.

Model Type: Channel/Receptor

Cell Type(s): Hodgkin-Huxley neuron; Wide dynamic range neuron; Abstract integrate-and-fire fractional leaky neuron; Abstract single compartment conductance based cell

Currents: I K; I K,leak; I Sodium

Transmitters: Ions

Model Concept(s): Action Potential Initiation; Bursting; Ion Channel Kinetics; Action Potentials; Spike Frequency Adaptation

Simulation Environment: MATLAB; MATLAB (web link to model)


Santamaria F, Teka W, Stockton D. (2016). Power-law dynamics of membrane conductances increase spiking diversity in a Hodgkin-Huxley model PLoS Comput Biol. 12(3)

This website requires cookies and limited processing of your personal data in order to function. By continuing to browse or otherwise use this site, you are agreeing to this use. See our Privacy policy and how to cite and terms of use.