# MATH 723:
Mathematical Neuroscience

#### Instructor: Georgi Medvedev

#### Office hours: R 5-5:50

#### Office: 292 Korman Center

####
The course web page from the last year is
here.

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Lecture notes:

###
Lecture 1: The Hodgkin-Huxley model. ps pdf

Lecture 2: Approximate systems. ps

Lecture 3: Elements of the theory of differential equations.
ps

Lecture 4: Elements of the bifurcation theory.
ps

Lecture 5: The homoclinic bifurcation.
ps

Lecture 6: Bursting (slides).
ps

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Codes:

###
hh.ode (The Hodgkin-Huxley model)

chay.ode (The Chay model)
fast.ode (fast subsytem)

hh.ode (NaP+K+KM model of bursting neuron)

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Reading:

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M. Rabinovich, P. Varona, A.I. Selverston, H.D.I. Abarbanel, Dynamical principles in neuroscience,
pdf

J. Gao and P. Holmes, On the dynamics of electrically-coupled neurons with inhibitory
synapses, pdf

F. K. Skinner, N. Kopell, E. Marder, Mechanisms for Oscillation and Frequency Control in Reciprocally
Inhibitory Model Neural Networks, pdf

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