Hodgkin-Huxley & IF models of excitability (~4h + 1h) and Version Control (~30min)

Note: The overheads are available here for download.

Charge balance equation (relaxing the “resting” hp)

(Lumped parameters) descriptions of cell membranes

full equivalent circuit model of a biological membrane

(Thevenin’s reduced) circuit model, for non-excitable cells

exercise: response to an external current step

• Pluto.jl interactive notebook on the passive membrane model

Intuitive explorations from the steady-state

exercise: ions exchanged during an action potential

Mass Action Law & (deterministic) Kinetic Schemes

Full Hodgkin-Huxley model

• Pluto.jl interactive notebook on the Hodgkin-Huxley model

• Pluto.jl interactive notebook on the stochastic Hodgkin-Huxley model

The Integrate-and-Fire model of excitability

Simplifying the description of APs

• Pluto.jl interactive notebook on the leaky IF model

The Frequency-Current formula for the IF

The IF model with spike-frequency adaptation

References

• The Annotated Hodgkin and Huxley (book)

• Lapicque’s 1907 paper: from frogs to integrate-and-fire (paper)

• Principles of Computational Modelling (book)

• Neuronal Dynamics (book)

On Version Control

Note: The overheads are available here for download.

Resources and links

• Git Hub

• Git Kraken

• GitHub Desktop

• Git and GitHub "for poets" video series