A three-dimensional mathematical model for the signal propagation on a neuron's membrane.

ABSTRACT: In order to be able to examine the extracellular potential's influence on network activity and to better understand dipole properties of the extracellular potential, we present and analyze a three-dimensional formulation of the cable equation which facilitates numeric simulations. When the neuron's intra- and extracellular space is assumed to be purely resistive (i.e., no free charges), the balance law of electric fluxes leads to the Laplace equation for the distribution of the intra- and extracellular potential. Moreover, the flux across the neuron's membrane is continuous. This observation already delivers the three dimensional cable equation. The coupling of the intra- and extracellular potential over the membrane is not trivial. Here, we present a continuous extension of the extracellu

SUBMITTER: Xylouris K 

PROVIDER: S-EPMC4505111 | biostudies-literature | 2015

REPOSITORIES: biostudies-literature