UC Davis Mathematics

Timothy Lewis

Home Page: http://www.math.ucdavis.edu/~tjlewis/
Year joining UC Davis: 2004
Degree: Ph.D., 1998, University of Utah
Refereed publications: Via Math Reviews


The primary goal of Tim Lewis’ research is to understand how intrinsic properties of neurons and the connectivity between neurons give rise to activity observed in neuronal networks. In doing so, he hopes to provide insight into the functions and dysfunctions of neural systems. He combines mathematical analysis of idealized models with numerical simulations of more biophysically realistic models. The idealized models help to uncover the basic mechanisms underlying the neural activity, whereas the biophysical models allow for direct comparison to experimental data. Collaboration with experimentalists is an essential part of his work.

Selected Publications

  1. Mancilla JG, Lewis TJ, Pinto DJ, Rinzel J and Connors BW. " Synchronization of electrically coupled pairs of inhibitory interneurons in neocortex. " J. Neurosci., 27:2058–2073, 2007.

  2. Cruikshank SJ, Lewis TJ and Connors BW. " Synaptic basis for intense thalamocortical activation of feedforward inhibitory cells in neocortex. " Nature Neurosci., 10: 462-468, 2007.

  3. Jolivet R, Lewis TJ and Gerstner W. " Generalized integrate-and-fire models of neuronal activity approximate spike trains of a detailed model to a high degree of accuracy. " J. Neurophysiol., 92:959-976, 2004.

  4. Lewis TJ and Rinzel J. " Dynamics of spiking neurons connected by both inhibitory and electrical coupling. " J. Comput. Neurosci., 14:283-309, 2003.

  5. Lewis TJ and Keener JP. " Wave-block in excitable media due to regions of depressed excitability. " SIAM J. Appl. Math., 61: 293-316, 2000, MathSciNet1776397.

Last updated: 2007-02-11