NJIT_CompNeuro

Analytical and Computational Neuroscience

Math430 and Math635 - Fall 2013

Recommended Reading and Matlab Codes

Matlab Tutorial (Kohitij Kar)

Matlab Tutorial
Solutions

ODE Examples - Matlab
Integrate-and-fire model (HGR)

Morris-Lecar model - types 1 & 2 - Single cell and two-cell networks - "Dynamic phase-plane" (HGR)

ODEexamples (Jon Guez)

Introduction to the Neurosciences:

J&W: Chapter 1

Passive Membrane Properties:
J&W: Chapter 2
Membrane Potential. Elmslie, K. S. (2001) Encyclopedia of Life Sciences. John Wiley & Sons, Elmslie, K. S. (2001) Encyclopedia of Life Sciences. John Wiley & Sons, http://www.mrw.interscience.wiley.com/emrw/9780470015902/els/article/a0000182

Integrate-and-Fire Neurons

D&A: Chapter 5.1-5.4

.ode files:

integrateandfire_01

FitzHugh-Nagumo model: stability analysis

.m file:

TauDelta_Xavier

The Hodgkin-Huxley model

Hodgkin, A. L. and Huxley, A. F. (1952). A quantitative description of membrane current and its application to conduction and excitation in nerve - The Journal of Physioloty, 117, 500-544
Action Potential: Ionic Mechanisms. Elmslie, K. S. (2001) Encyclopedia of Life Sciences. John Wiley & Sons, Elmslie, K. S. (2001) Encyclopedia of Life Sciences. John Wiley & Sons, http://www.mrw.interscience.wiley.com/emrw/9780470015902/els/article/a0000002
J&W: Chapter 6
I: Chapter 2

The cable equation

Passive Propagation of Electrical Signals. Elmslie, K. S. (2005) Encyclopedia of Life Sciences. John Wiley & Sons, Elmslie, K. S. (2005) Encyclopedia of Life Sciences. John Wiley & Sons, http://www.mrw.interscience.wiley.com/emrw/9780470015902/els/article/a0000197
D&A: Chapter 6
K: Chapter 2

Reduced models

Phase Space Analysis of Neuronal Excitability - J. Rinzel & B. Ermentrout, Methods in Neuronal Modeling (C. Koch and I. Segeve, Eds.)

One-dimensional neural systems

I: Chapter 3

Two-dimensional neural systems

I: Chapter 4

Subthreshold oscillations

HGR Talk 1
HGR Talk 2

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Suggested Papers for Student Projects

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Books

J&W : "Foundations of Cellular Neurophysiology", by Daniel Johnston and Samuel M.-S. Wu. The MIT Press, 1995. ISBN 0-262-10053-3.

I : "Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting", by Eugene M. Izhikevich. The MIT Press, 2007. ISBN 0-262-09043-8

K : "Biophysics of Computation - Information processing in single neurons", by Christof Koch. Oxford University Press, 1999. ISBN 0-19-510491-9.

D&A : "Theoretical Neuroscience: Computational and Mathematical Modeling of Neural Systems", by Peter Dayan and Larry F. Abbott. The MIT Press,2001. ISBN 0-262-04199-5

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Department of Mathematical Sciences(DMS).
New Jersey Institute of Technology (NJIT).

Horacio
Last modified: Thu Sep 2 10:45:36 EDT 2010