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Nathaniel Whitaker, Professor; Associate Department Head |
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| Personal Webpage |
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| Office | LGRT 1424 | | Phone | (413) 545-1572 | | Fax | (413) 545-1801 | | Email | whitaker <at> math.umass.edu | |
| Mailing Address |
| Department of Mathematics and Statistics |
| Lederle Graduate Research Tower |
| University of Massachusetts |
| Amherst, MA 01003-9305 |
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| Office Hours: Tuesday 10-11, Thursday 11-12 or by Appointment |
| Courses |
| Numerical Analysis I |
| Math 651 (TuTh 2:30 - 3:45 pm, LGRT 119) | | |
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| Education | | Ph.D. | University of California, Berkeley, 1987 |
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| | M.S. | University of Cincinnati, 1981 |
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| | B.A. | Hampton Institute, 1974 |
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| Research Interests: Fluid Mechanics, Math Biology, Numerical Analysis |
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| Professor Whitaker's recent research involves problems in math biology such as the growth of tumors. He develops models which simulate the recruitment and growth of vascular networks for the tumor, providing oxygen and nutrients and allowing it to grow. He also works on the models for the nephron the basic functional unit of the kidney. These models simulate the processing of sodium in the kidney. Professor Whitaker also works in fluid mechanics. He has worked on multiphase flow in a Hele-Shaw cell. He also looks at models for two-dimensional turbulence using methods in statistical mechanics. |
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| Selected Publications |
| A minimal model for tumor angiogenesis, Physical Review E, 73,p. 061926 (2006) (with P.G. Kevrekidis G. Herring and D.J. Good), Paper featured in Virtual Journal of Biological Physical Research |
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| Solitary waves in discrete media with four-wave mixing, Physical Review E, 73, p.066601 (2006) (with P.G. Kevrekidis and R. Horne) |
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| a hybrid approach, Math and Comp Modelling, 41, pp987-996 (2005) (with P.G. Kevrekidis and D.J. Good) |
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| On the effect of backleak in nephron dynamics, Physical Review E, 67, p.061911 (2003) (with P.G. Kevrekidis), Paper featured in Virtual Journal of Biological Research |
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| Statistical equilibrium solutions of coherent structures in turbulent shear layers, SIAM Journal on Scientific Computing, 17,pp.1414-1433 (1996) (with B. Turkington) |
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| Maximum entropy states for rotating vortex patches, Physics of Fluids A, 6, pp.3963-3973 (1994) (with B. Turkington) |
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| Some numerical methods for the Hele-Shaw equations, Journal of Computational Physics, 111, pp.81-88 (1994) |
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| A modeling approach to chromatin compaction featuring linker variability. generation of fibers that mimic the native structures, Proceedings of the National Academy of Sciences, 90, pp.9021-5 (1993) (with C. Woodcock, S. Grigoryev and R. Horowitz) |
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