import numpy as np
import matplotlib.pyplot as plt

# Parameters
tau_m = 20  # Membrane time constant (ms)
R_m = 1  # Membrane resistance (MΩ)
V_rest = -65  # Resting membrane potential (mV)
V_th = -50  # Spike threshold (mV)
V_reset = -65  # Reset potential (mV)
I = 1.5  # Input current (nA)
dt = 0.1  # Time step (ms)
t = np.arange(0, 100, dt)  # Time vector

# Initialize membrane potential
V_m = np.zeros(len(t))
V_m[0] = V_rest

# Simulate the neuron
for i in range(1, len(t)):
    dV = (-(V_m[i-1] - V_rest) + R_m * I) / tau_m
    V_m[i] = V_m[i-1] + dV * dt

    # Check for spike
    if V_m[i] >= V_th:
        V_m[i] = 20  # Spike to 20 mV
        V_m[i+1] = V_reset  # Reset potential

# Plot the results
plt.plot(t, V_m)
plt.title('.159 Neuron Simulation')
plt.xlabel('Time (ms)')
plt.ylabel('Membrane Potential (mV)')
plt.show()