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Charles S. Peskin
Mathematics
Mathematical Biology
In general, my interest is in the application of mathematics
and computing to physiology. In the case of the nervous system,
I have worked on the basic physical mechanisms of voltage dependence
in membrane channels; on the computer solution of the equations
for the spread of electric current in dendritic trees of arbitrary
complexity; on computational methods for the solution of the Hodgkin-Huxley
equations, which describe the propagation of the nerve impulse;
on the role of feedback as a mechanism that linearizes the input-output
relations of neurons while simultaneously improving their dynamic
range; on the unexpected benefits of random noise in auditory
transduction; on the optimal "design" of the retina
as a filter of the photon noise; and on nonlinear feedback models
for light adaptation in vision.
E-mail: peskin@cims.nyu.edu
Selected Publications
- Muller, R.U., Orin, G., and Peskin, C.S. (1981) The kinetics of monazomycin-induced voltage-dependent conductance. I. Proof of the validity of an empirical rate equation. Journal of General Physiology 78: 171-200
- Muller, R.U. and Peskin, C.S. (1981) The kinetics of monazomycin-induced voltage-dependent conductance. II. Theory and demonstration of a form of memory. Journal of General Physiology 78: 201-229
- Finkelstein, A. and Peskin, C.S. (1984) Some unexpected consequences of a simple physical mechanism for voltage-dependent gating in biological membranes. Biophysical Journal 46: 549-558
- Peskin, C.S., Tranchina, D., and Hull, D.M. (1984) How to see in the dark: Photon noise in vision and nuclear medicine. In First Colloquium in the Biological Sciences, eds. Scott, W. N., and Strand, F. L. (Annals of the New York Academy of Sciences 435: 48-72).
- Peskin, C.S. (1986) Optimal random coding. Communications in Pure and Applied Mathematics 39: 69-73
- Sherman, A.S. and Peskin, C.S. (1988) Solving the Hodgkin-Huxley equations by a random-walk method. SISSC 9: 170-190
- Tranchina, D. and Peskin, C.S. (1988) Light adaptation in the turtle retina: Embedding a parametric family of linear models in a single nonlinear model. Visual Neuroscience 1: 339-348
- Surkis, A., Taylor, B., Peskin, C.S., and Leonard, C.S. (1995) Calculation of passive membrane properties for experimentally determined dentritic geometries of laterodorsal tegmental neurons in vitro. In The Neurobiology of Computation, ed. J. M. Bower, Dordrecht, Netherlands: Kluwer Academic Publishers.
- Surkis, A., Taylor, B., Peskin, C.S., and Leonard, C.S. (1996) Quantitative morphology of physiologically identified and intracellularly labeled nitric oxide synthase-containing neurons from guinea pig laterodorsal tegmental nucleus in vitro. Neuroscience 74: 375-392
- Surkis, A., Peskin, C.S., Tranchina, D., and Leonard, C.S. (1998) Recovery of cable properties through active and passive modeling of subthreshold membrane responses from laterodorsal tegmental neurons. Journal of Neurophysiology 80: 2593-2607
- Hoppensteadt F.C. and Peskin C.S. (2002) Modeling and Simulation in Medicine and the Life Sciences, Second Edition. New York, NY: Springer-Verlag.
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