Simulations of stochastic differential equation model for cerebellar granule cell excitability

Abstract

Simulations of stochastic differential equation model for cerebellar granule cell excitability study about neurons in the brain intrinsic dynamic behavior which is known to be stochastic in nature. In this project, we study a prototype model of dynamic behavior by using ions in ion channels and calcium concentration. We also try to adjust the original model by adding some processes into the diffusion parts of the model. We analyze the results for both model in three aspects which are 1.) the effect of electrical signal to the spike timing, 2.) the variability in spike timing, and 3.) interspike intervals.