Systems Computational Neuroscience (Math 636)

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Readings

One- and two-dimensional neural systems
I: Chapter 3

I: Chapter 4

Bursting
I: Chapter 9

R. J. Butera, J. Rinzel & J. C. Smith (1999), 'Models of respiratory rhythm generation in the pre-Botzinger complex. I. Bursting pacemaker neurons', J. Neurophysiol. 82:382-397.

Chemical and electrical synapses
J&W: Chapter 11

J&W: Chapter 12

J&W: Chapter 13

D&A: Chapters 5.8 & 5.9

A. Destexhe, Z. F. Mainen & T. J. Sejnowski (1998), 'Kinetic models of synaptic transmission'. In 'Methods in Neural Modeling', 2nd Edition, C. Koch and I. Segev (Eds.), MIT Press.

D. Terman & B. Ermentrout. Computational Neuroscience. Chapter 5.

Phase Response Curves / Spike Time Response Curves

C. C. Canavier (2006), 'Phase response curve', Scholarpedia, 1(12):1332.

C. Acker, J. A. White & N. Kopell (2003), 'Synchronization of strongly coupled excitatory neurons: relating network behavior to biophysics', J. Comp. Neurosci., 15:71-90.

D. D. Pervouchine, T. I. Netoff, H. G. Rotstein, J. A. White, M. O. Cunningham, M. A. Whittington, N. J. Kopell (2006), 'Low-dimensional maps encoding dynamics in entorhinal cortex and hippocampus'

Central Pattern Generators

E. Marder & R. L. Calabrese (1996), 'Principles of Rhythmic Motor Pattern Generation', Physiological Reviews, 687-717

Data Analysis (Jaime de la Rocha)

Introduction to the Analysis of Neuronal Data: spike trains

Network Models

B. Ermentrout (1998) 'Phase-Plane Analysis of Neural Nets'

F. K. Skinner, N. Kopell, E. Marder (1994), 'Mechanisms for Oscillation and Frequency Control in Reciprocally Inhibitory Model Neural Networks' J. Comp. Neurosci., 1:69-87

D. Terman, N. Kopell & A. Bose (1998), 'Dynamics of two mutually coupled slow inhibitory neurons', Physica D 117:241-275.

N. Kopell & D. Somers (1995), 'Anti-phase solutions in relaxation oscillators coupled through excitatory interactions', J. Math. Bio. 33:261-280

C. van Vreeswijk, L. F. Abbott, G. B. Ermentrout (1994), 'When Inhibition not Excitation Synchronizes Neural Firing', J. Comp. Neurosci., 1:313:321.

K. Senn, J. C. Jorge-Rivera, E. Marder, L. F. Abbott (1996), 'Decoding Synapses', J. Neurosci., 16:6307-6318.

F. Nadim, Y. Manor, N. Kopell, E. Marder(1999), 'Synaptic depression creates a switch that controls the frequency of an oscillatory input', PNAS, 96:8206-8211.

Rate Equations (.ode)

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Matlab - Basics (D. Kim & J. Yi)

Notes

m-file 1 - m-file 2 - m-file 3 - m-file 4

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).

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Horacio

Last modified: Fri Apr 30 17:40:33 EDT 2010