Hodgkin-Huxley Model - Phase Flow using Quiver - Computational Neuroscience Assignment Answer

Computational Neuroscience Assignment Answer

Task: Consider the following system of equations , V is the membrane voltage and w is channel conductance. A) Plot the nullclines of the system for a = 0.1, c = 0, b =1 B) Plot the phase flow using “quiver” in Matlab. C) Plot the phase dynamics using the ode solver ode45. Also plot the time series for and w D) Also plot the phase dynamics and time series for c = 0.2, b = 0.02 E) Compute the fixed points for I = 0. Compute linear system matrix (Jacobian) around this fixed point. Comment on the stability of the system for a,b and c F) Plot the bifurcation diagram with I as the bifurcation parameter. Plot in 2D for V* vs I and w* vs I This is the famous FitzHugh Nagumo equations! Model of Hodgkin-Huxley model explaining almost all the relevant mechanisms that HH can. Rule of the game: You are encouraged to collaborate on understanding/ coding. But your final written report should reflect your individual genius!

This Computational Neuroscience Assignment has been solved by our Computational Neuroscience experts at onlineassignmentbank. Our Assignment Writing Experts are efficient to provide a fresh solution to this question. We are serving more than 10000+ Students in Australia, UK & US by helping them to score HD in their academics. Our Experts are well trained to follow all marking rubrics & referencing style.