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Hodgkin and Huxley neuron model using Simulink and MATLAB. The Hodgkin and Huxley model is a mathematical representation of the electrical activity in a neuron, capturing the dynamics of ion channels and membrane potential.

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Hodgkin-Huxley-Model-

Hodgkin&Huxley Model in MATLAB and Simulink.

It is a first model of a cell. Huxley and Hodgkin took giant axon from a squid and they have explained ion channels mechanism.

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Assuming cell as an electrical system before a biological is the fundamental part of modelling the cell membrane.

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Figure. Circuit representation

Hodgkin and Huxley are found and formulated this model after series of voltage clamp experiments by altering sodium and potassium concentrations.

$$\ C_m * (dV/dt) = I - I_m $$

$$\ I_m = g_Na * m^3 * h * (V - V_Na) - g_K * n^4 * (V - V_K) - g_L * (V - V_L) $$

Leakage Current: $$\ dm/dt = α_m * (1 - m) - β_m * m $$ $$\ dn/dt = α_n * (1 - n) - β_n * n $$ $$\ dh/dt = α_h * (1 - h) - β_h * h $$

Variables: m, n, h: State variables

g: Channel conductivity

α, β : Rate coefficients

C_m : Membrane capacitance

I: Input current

V: Membrane potential

I_m : Membrane current

V_Na : Sodium equilibrium potential

V_K : Potassium equilibrium potential

V_L : Leakage equilibrium potential

Model:

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Output:

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Hodgkin and Huxley neuron model using Simulink and MATLAB. The Hodgkin and Huxley model is a mathematical representation of the electrical activity in a neuron, capturing the dynamics of ion channels and membrane potential.

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