Next: A Single compartment Up: From Numerical Theory to Previous: The Trapezoidal Rule Contents

#
Neuroscience Equations

The membrane potential () in a single branch of a neuron is described by the one dimensional cable equation:

| (1.7)

If we consider the axial resistance and dendritic diameter constant, this is simplified to a cylindrical cable equation:

| (1.8)

In the the Hodgkin-Huxley formalism, the current is defined as:

| (1.9)

, and are voltage and time dependent variables between 0 and 1, each satisfying a simple exponential curve, described by:

| (1.10)

Subsections

- A Single compartment
- Multiple compartments

Next: A Single compartment Up: From Numerical Theory to Previous: The Trapezoidal Rule Contents