-
-
Save rakaar/46ca2fa0d8052be22ea9ff80d17cce18 to your computer and use it in GitHub Desktop.
Simulation of Hogkin-Huxley Neuron, Anode Break Potential
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
close all; | |
clear all; | |
% feed positive current and check plots of v,m,h,n | |
[t , r] = ode15s(@hh,[0 10],[-60 0.052932 0.596121 0.317677]); | |
figure | |
subplot(2,1,1) | |
plot(t,r(:,1)); | |
title('hogkin huxley') | |
subplot(2,1,2) | |
hold on | |
plot(t,r(:,2)); | |
plot(t,r(:,3)); | |
plot(t,r(:,4)); | |
legend('m','h','n') | |
hold off | |
grid | |
% anode break potential - v,m,h,n | |
[t, r] = ode15s(@hh_i_negative_for_anode_break, [0 50], [-60 0.052932 0.596121 0.317677]); | |
figure | |
subplot(2,1,1) | |
hold on | |
plot(t,r(:,1)); | |
title('hogkin huxley - anode break') | |
plot([0 10 10 20 30 30 40 50], [0 0 -20 -20 -20 0 0 0]); | |
hold off | |
subplot(2,1,2) | |
hold on | |
plot(t,r(:,2)); | |
plot(t,r(:,3)); | |
plot(t,r(:,4)); | |
legend('m','h','n') | |
hold off | |
grid | |
function result = hh(t,r) | |
% vars | |
g_k_bar = 36; | |
e_k = -72; | |
g_na_bar = 120; | |
e_na = 55; | |
g_l = 0.3; | |
e_l = -49.401079; | |
c = 1; | |
iext = 10; | |
if r(1) == -35 | |
alpha_m = 1; | |
else | |
alpha_m = (-0.1 * (r(1) + 35))/(exp(-(r(1) + 35)/10) - 1); | |
end | |
beta_m = 4 * exp(-(r(1) + 60)/18); | |
if r(1) == -50 | |
alpha_n = 0.1; | |
else | |
alpha_n = (-0.01 * (r(1) + 50))/(exp(-(r(1) + 50)/10) - 1); | |
end | |
beta_n = 0.125 * exp(-(r(1) + 60)/80); | |
alpha_h = 0.07 * exp(-(r(1) + 60)/20); | |
beta_h = 1/(1 + exp(-(r(1)+30)/10)); | |
result = zeros(4,1); % v,m,h,n | |
result(1) = (1/c) * ( iext - (g_k_bar * r(4)^4 * (r(1) - e_k)) - (g_na_bar * r(2)^3 * r(3) * (r(1) - e_na)) - (g_l * (r(1) - e_l)) ); | |
result(2) = (alpha_m * (1 - r(2))) - (beta_m * r(2)); | |
result(3) = (alpha_h * (1 - r(3))) - (beta_h * r(3)); | |
result(4) = (alpha_n * (1 - r(4))) - (beta_n * r(4)); | |
end | |
function result = hh_i_negative_for_anode_break(t,r) | |
% vars | |
g_k_bar = 36; | |
e_k = -72; | |
g_na_bar = 120; | |
e_na = 55; | |
g_l = 0.3; | |
e_l = -49.401079; | |
c = 1; | |
if r(1) == -35 | |
alpha_m = 1; | |
else | |
alpha_m = (-0.1 * (r(1) + 35))/(exp(-(r(1) + 35)/10) - 1); | |
end | |
beta_m = 4 * exp(-(r(1) + 60)/18); | |
if r(1) == -50 | |
alpha_n = 0.1; | |
else | |
alpha_n = (-0.01 * (r(1) + 50))/(exp(-(r(1) + 50)/10) - 1); | |
end | |
beta_n = 0.125 * exp(-(r(1) + 60)/80); | |
alpha_h = 0.07 * exp(-(r(1) + 60)/20); | |
beta_h = 1/(1 + exp(-(r(1)+30)/10)); | |
if t >10 && t < 30 | |
iext = -3; | |
else | |
iext = 0; | |
end | |
result = zeros(4,1); % v,m,h,n | |
result(1) = (1/c) * (iext - (g_k_bar * r(4)^4 * (r(1) - e_k)) - (g_na_bar * r(2)^3 * r(3) * (r(1) - e_na)) - (g_l * (r(1) - e_l)) ); | |
result(2) = (alpha_m * (1 - r(2))) - (beta_m * r(2)); | |
result(3) = (alpha_h * (1 - r(3))) - (beta_h * r(3)); | |
result(4) = (alpha_n * (1 - r(4))) - (beta_n * r(4)); | |
end |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment