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Basic Mathematics for Computational Neuroscience

Level
Beginner

A series of short explanations of the basic equations underlying computational neuroscience.

Course Features
Lectures
Videos
Lessons of this Course
1
1
Duration:
08:16

This lesson introduces the membrane potential equation

2
2
Duration:
9:22

Explanation of the equivalent circuit model for a patch of passive neural membrane.

3
3
Duration:
4:04

Solving the passive membrane equation

4
4
Duration:
5:54

Injecting current into a passive membrane

5
5
Duration:
7:34

Response to injected current

6
6
Duration:
9:55

Explains the logic behind dealing with more complex currents by solving the membrane equation numerically.

7
7
Duration:
8:32

Introducing voltage-dependent ion channels into the passive membrane

8
8
Duration:
10:32

Introducing Hodgkin & Huxley's voltage dependent ion channel models, with emphasis on the sodium conductance

9
9
Duration:
9:56

Introducing the classical Hodgkin & Huxley squid axon model with sodium and potassium conductances

10
10
Duration:
9:23

This lesson extends the conductance-based model equation to multiple neuronal compartments, taking more complex morphology into account.