Bifurcation Analysis of H-H Parameters and Their Contribution To Neurology

摘要

H-H (Hodgin-Huxley) model is high ranking popular research for the neurological world to simulate statical and dynamical behavior of the brain with four dimensional differential equations. Different methods of simulation are developed to solve the H-H complex equations that could not explain the phase behavior of different parameters in a single plot. But, in this paper we are considering the famous models for this simulation of four dimensional equations to two dimensional by Morris-Lecar and then one dimensional form by FitzHugh for proper phase analysis. The important application of bifurcation of a neurological system is estimated by the variation of parameters of H-H model. Therefore, Graphical User Interface (GUI) is used to plot different bifurcation panels of those existing models for proper visualization of results so that researchers in future can investigate different abnormal disorders in brain by viewing these panels.