
Harold Layton, Professor of Mathematics
 Contact Info:
 Education:
 A.B., mathematics, summa cum laude, Asbury college, 1979
M.S., physics, University of Kentucky, 1980
Ph.D., mathematics, Duke University, 1986
 Specialties:

Applied Math
 Research Interests: Mathematical Physiology
Professor Layton is modeling renal function at the
level of the nephron (the functional unit of
the kidney) and at the level of nephron populations. In
particular, he is studying tubuloglomerular feedback (TGF),
the urine concentrating mechanism, and the hemodynamics
of the afferent arteriole. Dynamic models for TGF
and the afferent arteriole involve small systems of semilinear hyperbolic partial
differential equations (PDEs) with timedelays,
and coupled ODES, which are
solved numerically for cases of physiological interest,
or which are linearized for qualitative analytical
investigation.
Dynamic models for the concentrating mechanism involve
large systems of coupled hyperbolic PDEs that describe
tubular convection and epithelial transport. Numerical
solutions of these PDEs help to integrate and interpret
quantities determined by physiologists in many separate
experiments.
 Curriculum Vitae
 Current Ph.D. Students
(Former Students)
 Postdocs Mentored
 Amal El Moghraby (July 01, 2008  May 31, 2009)
 Paula Budu (September 14, 2002  August 31, 2005)
 Monica M. Romeo (September 1, 2001  May 31, 2004)
 Kayne Marie Arthurs (1996/091998/08)
