System of Equations - Phase Dynamics and Time Series - Bifurcation Diagram - Computational Neuroscience Assignment Help

Homework 3: Computational Neuroscience

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.

This Computational Neuroscience Assignment has been solved by our Neuroscience experts at My Uni Paper. 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.

Be it a used or new solution, the quality of the work submitted by our assignment experts remains unhampered. You may continue to expect the same or even better quality with the used and new assignment solution files respectively. There’s one thing to be noticed that you could choose one between the two and acquire an HD either way. You could choose a new assignment solution file to get yourself an exclusive, plagiarism (with free Turnitin file), expert quality assignment or order an old solution file that was considered worthy of the highest distinction.