A Cell-Based Model for Ionic Electrodiffusion in Excitable Tissue

AbstractThis chapter presents theKNP-EMImodel describing ion concentrations and electrodiffusion in excitable tissue. TheKNP-EMImodel extends on theEMImodel by removing the assumption that ion concentrations are constant in time and space, and may as such be more appropriate in connection with modelling e.g. spreading depression, stroke and epilepsy. TheKNP-EMImodel defines a system of time-dependent, nonlinear, mixed dimensional partial differential equations. We here detail the derivation of the system and present a numerical example illustrating how ion concentrations evolve during neuronal activity.