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Kayne M. Arthurs, Research Associate

Please note: Kayne has left the Mathematics department at Duke University; some info here might not be up to date.

Contact Info:
Office Location:  217A Physics Bldg
Email Address: send me a message
Web Page:


PhD. Mathematics, Duke University, 1996. M.S. Mathematics, George Mason University, 1990. B.S. Geology (summa cum laude), University of North Carolina at Chapel Hill, 1986.
Research Interests: Mathematical Biology and Computational Fluid Dynamics

I have developed a mathematical model of a renal afferent afteriole. In the model, blood flow is simulated through a small diameter two-dimensional elastic-contractile tube. The model also includes convection, diffusion, and degredation of nitric oxide released by the tubular wall, and tubular wall relaxation in response to nitric oxide concentration. Nitric oxide is a potent vasodilator and appears to play an important role in blood flow regulation.

Recent Publications

  1. Kayne M. Arthurs, Leon C. Moore, Charles S. Peskin, E. Bruce Pitman and H. E. Layton, Modeling Arteriolar Flow and Mass Transport Using the Immersed Boundary Method, Journal of Computational Physics, vol. 147, (1998), pp. 402-440
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320