实现Morris-lecar模型matlab

以下是Matlab代码实现Morris-Lecar模型：

% Morris-Lecar Model
clear all; close all;

% Constants
C = 20; % capacitance
g_Ca = 4.4; % maximum conductance of calcium channels
g_K = 8; % maximum conductance of potassium channels
g_L = 2; % maximum conductance of leak channels
V1 = -1.2; % voltage threshold for Ca channels
V2 = 18; % voltage threshold for K channels
V3 = 2; % voltage threshold for slow K channels
V4 = 30; % voltage threshold for slow K channels
phi = 0.04; % scaling factor for Ca channels
V = -50; % initial voltage
w = 0.1; % initial value of w

% Time vector
t = 0:0.01:500;

% Morris-Lecar equations
dVdt = @(V,w) (1/C)*(-g_L*(V-(-70)) - g_Ca*m_inf(V)*(V-V1) - g_K*w*(V-V2));
dwdt = @(V,w) phi*(w_inf(V)-w)/tau_w(V);

% Solve Morris-Lecar equations using ode45 solver
[t,y] = ode45(@(t,y) [dVdt(y(1),y(2)); dwdt(y(1),y(2))], t, [-50; 0.1]);

% Plot Voltage vs Time
subplot(2,1,1)
plot(t,y(:,1))
xlabel('Time (ms)')
ylabel('Voltage (mV)')

% Plot w vs Time
subplot(2,1,2)
plot(t,y(:,2))
xlabel('Time (ms)')
ylabel('w')

% Function for m_inf
function m = m_inf(V)
    m = 0.5*(1+tanh((V-V1)/4.2));
end

% Function for w_inf
function w = w_inf(V)
    w = 0.5*(1+tanh((V-V3)/4));
end

% Function for tau_w
function t = tau_w(V)
    t = 1/cosh((V-V3)/(2*V4));
end

这段代码会绘制Morris-Lecar模型的电压和w随时间的变化。可以根据需要修改模型的参数和时间范围。