MA 769: Mathematical Neuroscience

Tues/Thurs 3:30-4:45, SCI 115


Announcements


Problem sets

Assignment 1 is here. It is due Tuesday, Feb. 10 at the beginning of class.

Assignment 2 is here. It is due Tuesday, March 17 at the beginning of class.

Assignment 3 is here. It is due Tuesday, April 21 at the beginning of class.


Readings and Materials

Oja 1982 pdf

Oja & Karhunen 1985 pdf

Hodgkin & Huxley 1952e article

Andrew Huxley's Nobel lecture article

Hodgkin/Huxley model notebook download file

Abbott & Kepler 2005, Model Neurons: from Hodgkin-Huxley to Hopfield article

Fitzhugh 1961, Impulses and physiological states in theoretical models of nerve membrane article

Jones, Kopell & Langer. Construction of the Fitzhugh-Nagumo pulse using differential forms. article

Rubin & Wechselberger. Giant squid - hidden canard: the 3d geometry of the Hodgkin-Huxley model. article

Gardner 1988, The space of interactions in neural network models article

Talagrand 1999, Self averaging and the space of interactions in neural networks article

Brunel et al. 2004, Optimal Information Storage and the Distribution of Synaptic Weights: Perceptron versus Purkinje Cell article

Brunel 2016, Is cortical connectivity optimized for storing information? article

Brunel 2000, Dynamics of sparsely connected networks of excitatory and inhibitory neurons pdf

Dynamical mean-field theory notebook download file

Resources

Mathematical Foundations of Neuroscience pdf

Dynamical Systems in Neuroscience pdf

Neuronal Dynamics html

Statistical Field Theory for Neuronal Networks link

Statistical Mechanics of Neural Networks link


Contact information

Professor: Gabriel Koch Ocker
Office: CCDS 443
Email: gkocker [at] bu.edu
Office Hours: Tues. 2-3p.m., Fri. 11a.m.-noon, or by appointment


Course information

The syllabus and detailed information are here: (pdf)