Silver Professor of Mathematics and Neural Science

peskin@cims.nyu.edu

212-998-3126

Warren Weaver Hall, Office 917

Ph.D., Physiology, Yeshiva University, USA, 1972.

A.B., Engineering & Applied Physics, Harvard University, USA, 1968.

My research is concerned with mathematical modeling and computer simulation for problems arising in biology and medicine. My principal research effort, beginning in my Ph.D. thesis, has been the mathematical modeling of blood flow in the heart with particular emphasis on the heart valves. From this work has emerged an original computational method for fluid-structure interaction that is now called the “immersed boundary method” (I don’t know who gave it this name!). A large part of my current work, and that of my students, involves the further development of this methodology. Its application to a growing list of ever more diverse and challenging applications includes a stochastic version for microscopic problems in which Brownian motion plays an important role. This is the regime in which biomolecular motors operate, which is another of my research interests. There is even an immersed boundary method for the bidomain equations of cardiac electrophysiology, which is an electrical rather than a mechanical problem. In the field of electrophysiology, I am also interested in modeling electrodiffusion as a means of studying the role of 3D microanatomy in neural science.

C.S. Peskin and D.M. McQueen,
"Mechanical equilibrium determines the fractal fiber architecture of the aortic heart valve leaflets",
American Journal of Physiology
266, H319-H328 (1994)

C.S. Peskin,
"The immersed boundary method",
Acta Numerica
11, 479-517 (2002)

B.E. Griffith and C.S. Peskin,
"Electrophysiology",
Communications on Pure and Applied Mathematics
66, no. 12, 1837-1913 (2013)