Harold Layton

  • Professor of Mathematics
External address: 221 Physics Bldg, Durham, NC 27708
Internal office address: Box 90320, Durham, NC 27708-0320
Phone: (919) 660-2809

Research Areas and Keywords

Biological Modeling
renal modeling

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 time-delays, 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.

Education & Training
  • Ph.D., Duke University 1986

  • M.S., University of Kentucky at Lexington 1980

  • B.A., Asbury College 1979

Layton, HE, Pitman, EB, and Moore, LC. "Potential natriuretic effects of limit-cycle oscillations mediated by tubuloglomerular feedback." FASEB Journal 12.4 (1998): A108-.

Layton, HE, Pitman, EB, and Moore, LC. "Nonlinear filter properties of the thick ascending limb." Am J Physiol 273.4 Pt 2 (October 1997): F625-F634.

Layton, HE, Pitman, EB, and Moore, LC. "Spectral properties of the tubuloglomerular feedback system." The American journal of physiology 273.4 Pt 2 (October 1997): F635-F649.

Layton, HE, Pitman, EB, and Moore, LC. "Spectral properties of the tubuloglomerular feedback system." American Journal of Physiology - Renal Physiology 273.4 42-4 (1997): F635-F649.

Arthurs, KM, Moore, LC, Pitman, EB, and Layton, HE. "Flow regulation in afferent arterioles following vascular injury." FASEB Journal 11.3 (1997): A82-.

Pitman, EB, Zaritski, R, Moore, LC, and Layton, HE. "TGF-mediated bifurcation in two coupled nephrons." FASEB Journal 11.3 (1997): A85-.

Layton, HE, Pitman, EB, and Moore, LC. "Nonlinear filter properties of the thick ascending limb." American Journal of Physiology - Renal Physiology 273.4 42-4 (1997): F625-F634.

Layton, HE, Casotti, G, Davies, JM, and Braun, EJ. "Mathematical model of avian urine concentrating mechanism." FASEB Journal 11.3 (1997): A9-.

Layton, HE, Knepper, MA, and Chou, CL. "Permeability criteria for effective function of passive countercurrent multiplier." Am J Physiol 270.1 Pt 2 (January 1996): F9-20.

Layton, HE, Pitman, EB, and Moore, LC. "Spectral properties of the thick ascending limb." FASEB Journal 10.3 (1996): A547-.

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