Jerome K. Percus

Physics and Mathematics

Mathematical Biology

My training is in electrical engineering, mathematics, and physics. I have held visiting positions in various biology departments and medical schools. My current research is primarily in selected areas of chemical physics and mathematical biology, with asides in medical statistics and computer architecture. My interests in neural science range from models of neural networks to the interconnections between neural, immunological, and endocrine systems, which show behavioral similarities as well as common receptors.

Representative Publications

Percus, J. K. (1976). Tissue correlations in linear samples. Journal of Theoretical Biology 577, 281-299.

Childress, S., and Percus, J. K. (1981). Modeling of cell and tissue movements in the developing embryo. Lectures in Mathematics in the Life Sciences 14, 59-88.

Percus, O. E., and Percus, J. K. (1983). Phase transitions in a four-dimensional random walk with applications to medical statistics. Journal of Statistical Physiology 30, 755-783. Percus, J. K. (1984). Mathematical methods in enzymology. Courant Institute of Mathematical Sciences.

Percus, J. K., Newman, S. J., and Frisch, H. L. (1988). On the stationary state analysis of reaction-diffusion mechanisms for biological pattern formation. Journal of Theoretical Biology 134, 183-197.

Percus, J. K. (1989). Tree structures in immunology. In Applications of Combinatorics and Graph Theory to the Biological and Social Sciences, ed. Roberts, F. New York: Springer-Verlag.

Percus, J. K., Percus, O. E., and Perelson, A. S. (1992). Probability of self-nonself discrimination. NATO ASI Series H66, 63, eds. Perelson, A. S., and Weisbuch, G. Berlin: Springer-Verlag.

Percus, J. K., Percus, O. E., and Perelson, A. S. (1993). Predicting the size of the T-cell receptor and antibody combining region. Proceedings of the National Academy of Science USA, 1691-1695.

Percus, J. K. (1995). Mathematics of genome analysis. Courant Institute of Mathematical Sciences.