Anita T. Layton, PhD

Research Professor of Mathematics
Professor in Medicine
Bass Fellow
Campus mail 213 Physics Bldg, Durham, NC 27708
Phone (919) 660-6971
Email address

Mathematical physiology.

My main research interest is the application of mathematics to biological systems, specifically, mathematical modeling of renal physiology. Current projects involve (1) the development of mathematical models of the mammalian kidney and the application of these models to investigate the mechanism by which some mammals (and birds) can produce a urine that has a much higher osmolality than that of blood plasma; (2) the study of the origin of the irregular oscillations exhibited by the tubuloglomerular feedback (TGF) system, which regulates fluid delivery into renal tubules, in hypertensive rats; (3) the investigation of the interactions of the TGF system and the urine concentrating mechanism; (4) the development of a dynamic epithelial transport model of the proximal tubule and the incorporation of that model into a TGF framework.

Multiscale numerical methods.

I develop multiscale numerical methods---multi-implicit Picard integral deferred correction methods---for the integration of partial differential equations arising in physical systems with dynamics that involve two or more processes with widely-differing characteristic time scales (e.g., combustion, transport of air pollutants, etc.). These methods avoid the solution of nonlinear coupled equations, and allow processes to decoupled (like in operating-splitting methods) while generating arbitrarily high-order solutions.

Numerical methods for immersed boundary problems.

I develop numerical methods to simulate fluid motion driven by forces singularly supported along a boundary immersed in an incompressible fluid.

Education and Training

  • Ph.D., University of Toronto (Canada), 2001
  • M.S., University of Toronto (Canada), 1996
  • B.A., Duke University, 1994
  • B.S., Duke University, 1994


Edwards, Aurélie, Fredrik Palm, and Anita T. Layton. “A model of mitochondrial O2 consumption and ATP generation in rat proximal tubule cells.” American Journal of Physiology. Renal Physiology 318, no. 1 (January 2020): F248–59.

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Layton, Anita T. “Solute and water transport along an inner medullary collecting duct undergoing peristaltic contractions.” American Journal of Physiology. Renal Physiology 317, no. 3 (September 2019): F735–42.

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Ahmed, Sameed, Rui Hu, Jessica Leete, and Anita T. Layton. “Understanding sex differences in long-term blood pressure regulation: insights from experimental studies and computational modeling.” American Journal of Physiology. Heart and Circulatory Physiology 316, no. 5 (May 2019): H1113–23.

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Layton, Anita T., and Harold E. Layton. “A computational model of epithelial solute and water transport along a human nephron.” Plos Computational Biology 15, no. 2 (February 25, 2019): e1006108.

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Layton, Anita T., and Jennifer C. Sullivan. “Recent advances in sex differences in kidney function.” American Journal of Physiology. Renal Physiology 316, no. 2 (February 2019): F328–31.

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