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Hodgkin-Huxley Membrane & Ionic Current Calculator

The Nobel-winning Hodgkin-Huxley model describes the electrical excitability and action potential generation of neuronal membranes as an equivalent parallel electrical circuit.

Instantaneous transmembrane electrical potential.

Time rate of change of membrane potential.

Dimensionless Na+ activation gating variable (0.0 to 1.0).

Dimensionless Na+ inactivation gating variable (0.0 to 1.0).

Dimensionless K+ delayed rectifier gating variable (0.0 to 1.0).

Specific membrane capacitance (default 1.0 uF/cm²).

What Is the Hodgkin-Huxley Membrane & Ionic Current Calculator?

The Hodgkin-Huxley model represents the phospholipid lipid bilayer as a dielectric capacitor and ion channels as voltage-dependent variable conductances.

It quantitatively explains how voltage-gated ion channels generate neuronal nerve impulses.

How Does the Hodgkin-Huxley Membrane & Ionic Current Calculator Work?

Computes capacitive charging current I_cap = C_m * (dV/dt).

Calculates sodium conductance using m^3 * h gating dynamics.

Calculates potassium conductance using n^4 gating dynamics.

Sums ohmic driving forces to find total ionic current.

Hodgkin-Huxley Membrane & Ionic Current Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

I_m = C_m \frac{dV}{dt} + \bar{g}_{Na} m^3 h (V - E_{Na}) + \bar{g}_K n^4 (V - E_K) + g_L (V - E_L)

Hodgkin-Huxley total transmembrane current balance equation.

How to Use the Hodgkin-Huxley Membrane & Ionic Current Calculator

  1. Enter the transmembrane potential Vm in millivolts.
  2. Provide the voltage derivative dV/dt in mV/ms.
  3. Enter gating particle state probabilities m, h, and n (between 0 and 1).

Step-by-Step Example Calculation

Resting Squid Giant Axon

Input Values:

membranePotentialMv:-65
dVdtMvMs:0.5
mGate:0.05
hGate:0.6
nGate:0.32
membraneCapacitanceUfCm2:1
Worked Steps: Resting state near threshold before action potential upstroke.

Understanding Your Result

Negative total current indicates inward depolarizing current that drives action potential spikes.

Positive total current indicates outward repolarizing or hyperpolarizing current that restores resting potential.

Factors That Affect the Result

  • Temperature: Gating kinetics accelerate by a Q10 factor of approximately 3 per 10 deg C.
  • Channel block: Pharmacological neurotoxins (tetrodotoxin, TEA) abolish specific ionic components.

When Should You Use This Calculator?

  • Computational neuroscience simulations and cellular electrophysiology research.
  • Understanding synaptic integration and neural excitability.

Assumptions & Limitations

  • Assumes macroscopic conductance averages across thousands of stochastic ion channels.
  • Parameters based on classical Loligo pealeii squid giant axon.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Gold-standard biophysical equation with universal application in neurophysiology.

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