Math @ Duke
Harold LaytonClick here for a printer-ready version, or
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|Box 90320, Durham, NC 27708-0320
|M.S.||University of Kentucky at Lexington||1980|
- Areas of Research
- Areas of Interest
- Mathematical models of renal hemodynamics
Mathematical models of the urine concentrating mechanism
Numerical methods for models of renal systems
Countercurrent systems in animals
- Areas of Experience
Modeling countercurrent systems
Numerical methods for renal models
- Professional Experience / Employment History
- Duke University
- Professor, Department of Mathematics, July 01, 2001 - present
- Associate Professor, Department of Mathematics, July 01, 1995 - June 30, 2001
- Assistant Professor, Department of Mathematics, September 01, 1988 - June 30, 1995
- Visiting Positions
- Visiting Member: Courant Institute of the Mathematical Sciences, New York University, 1986 - 1988
- Major Grant Support
National Science Foundation: Mathematical Sciences Postdoctoral Research Fellow, 1986-1988, ``Mathematical Models of Kidney Function''
National Institutes of Health: First Independent Research Support and Transition Award, 1990-1994, ``Mathematical Models of Renal Dynamics''
National Institutes of Health: Regular Research (R01) Grant, 1995-2000, ``Mathematical Models of Renal Dynamics''
National Science Foundation: Group Infrastructure Grant, 1997-2000, ``Applications of Mathematics to Physiology'' (Michael C. Reed, principal investigator; H. E. Layton and J. JosephBlum, co-principal investigators)
National Institutes of Health: Regular Research (R01) Grant, 2000-2005, ``Mathematical Models of Renal Dynamics''
National Institutes of Health: Regular Research (R01) Grant, 2006-2010, ``Mathematical Models of Renal Dynamics''
- Recent Grant Support
- EMSW21-RTG:, National Science Foundation, DMS-0943760, 2010/09-2017/08.
- Modeling Solute Transport and Urine Concentrating Mechanism in the Rat Kidney, National Institutes of Health, 2010/08-2016/07.
- Professional Service
- Chair, Department of Mathematics, Duke University, July 1, 2010 - present
- Director of Graduate Studies in Mathematics, Duke University, July 1, 2008 - June 30, 2009
- Director of Undergraduate Studies in Mathematics, Duke Unviersity, July 01, 1996 - June 30, 1999
- Dept Officer
- Department Chair, 2009 - 2015
- Chair, Department of Mathematics, 1 July 2009--??, January 2010
- Selected Recent Invited Talks
- Harmonics and Heterodyning in Renal Hemodynamics, Medical College of Wisconsin, April 18, 2012
- Dynamics of Tubuloglomerular Feedback, Vanderbilt University, Nashville Tennessee, May 20, 2009
- The urine concentrating mechanism: insights from mathematical modeling, San Diego, CA, April 07, 2008
- The Urine concentrating mechanism of the inner medulla: functional significance of reconstructions based on new immunohistochemical data, San Diego, 15 December 2005
- The Urine Concentrating Mechanism of the Rat Kidney Inner Medulla, Emory University School of Medicine, Renal Division, May 18, 2004
- Irregular Oscillations in Nephron Flow Mediated by
Tubuloglomerular Feedback, AMS Southeastern
Sectional Meeting, University of North Carolina, Chapel Hill, North Carolina, 2003/10/24
- Spectral Complexity in TGF Limit-cycle Oscillations, Nephrons and Numbers: The Past and Furture of Renal Systems Physiology (a symposium in honor of Donald Marsh), San Deigo, California, 11 April 2003
- Formation of Concentrated Urine by Birds and Mammals, Seminar, Department of Physiology, McGill University, Montreal, Canada, 24 May 2002
- Oscillations in Nephron Flow Mediated by Tubuloglomerular Feedback, Centre for Nonlinear Dynamics, McGill University, Montreal, Canada, 23 May 2002
- Oscillations Mediated by Tubuloglomerular Feedback: Physiological Role and Pathophysiology, Special Session on Applications of Mathematics to Human Physiology and Medicine, at the 2001 National Meeting of the American Mathematical Society, New Orleans, LA, 12 January 2001
- Irregular Oscillations in Kidney Nephron Flow May Be Mediated by Tubuloglomerular Feedback (TGF), Minisymposium ``Mathematical Models for Physiology'' at the 2000 SIAM Annual Meeting, Rio Grande, Peurto Rico, 11 July 2000
- The Dynamic Kidney, Joint Seminar in Mathematics and Physiology, University of Minnesota, Minneapolis, MN, 25 February 1999
- Oscillations in the Tubuloglomerular Feedback System, Minisymposium ``Time Delays in Physiological and Neural System'' at the combined annual meetings of the Society for Industrial and Applied Mathematics and the Society for Mathematical Biology, University of Toronto, Toronto, Canada, 15 July 1998
- Doctoral Theses Directed
- Kevin Jay Kesseler, Analysis of Feedback-Mediated Dynamics in Two Coupled Nephrons, (2001 - May 09, 2004)
- Darren Randall Oldson, Flow Perturbations in a Mathematical Model of the Tubuloglomerular Feedback System, (2003)
- Kayne Marie Arthurs, Flow Regulation in the Afferent Arteriole: An Application of the Immersed Boundary Method, (1996)
- Professional Affiliations
American Physiological Society
American Society of Nephrology
Society for Mathematical Biology
- Publications (listed separately)
Last modified: 2019/02/23
Duke University, Box 90320
Durham, NC 27708-0320