A series of short explanations of the basic equations underlying computational neuroscience.
Basic Mathematics for Computational Neuroscience
This lesson introduces the membrane potential equation
Explanation of the equivalent circuit model for a patch of passive neural membrane.
Solving the passive membrane equation
Injecting current into a passive membrane
Explains the logic behind dealing with more complex currents by solving the membrane equation numerically.
Introducing voltage-dependent ion channels into the passive membrane
Introducing Hodgkin & Huxley's voltage dependent ion channel models, with emphasis on the sodium conductance
Introducing the classical Hodgkin & Huxley squid axon model with sodium and potassium conductances