By Mary Ann Horn, Gleri Simonett, Glenn F. Webb
A special assemblage of state of the art examine on mathematical types in biology and medication. This booklet consists of refereed and thoroughly edited examine articles derived from the convention on Mathematical types in clinical and wellbeing and fitness Sciences, held at Vanderbilt collage at the side of the 13th annual Shanks Lectures sequence (May 1997).
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Sánchez-Garduño, D. Kirschner and J. Reynolds theoretically and numerically analyze a model of disease progression in the HIV infected immune system based on interaction of viral and lymphocyte populations. -Y. Tan and Z. Xiang develop a stochastic model for the pathogenesis of HIV at the cellular level and compare their results to data for a HIV infected hemophilia patient. (3) Models of Physiological Processes: M. Ballyk and H. Smith analyze a model of competing bacterial strains in the composition of the indigenous microflora of the large intestine and discuss the influence of motility of invading organisms in stabilization and invasion of the gut.
The reactor is externally fed by growth medium at a constant volumetric flow rate, while depleted nutrient exits at the outflow from the reactor. For reactors of equal length then, the flow rate of medium captures the retention time of the intestinal content. Kung and Baltzis assume that bacteria exhibit random motility and that the diffusion coefficient of nutrient and motility coefficients of the competing populations are equal. This model was extended in [2] by dropping this assumption, thus allowing consideration of the role of motility in the composition and stability of intestinal microflora.
Touw, R. Delwel and V. Santini, Autonomous proliferation of leukemic cells in vitro as a determinant of prognosis in adult acute myeloid leukemia, N. Eng. J. Med. 328 (1993), 614-619. 15. Luenberger, D. , New York, 1969. 16. Martin, R. and K. L. Teo, Optimal Control of Drug Administration in Cancer Chemotherapy, World Scientific, New Jersey, 1994. 17. Murray, J. , Some optimal control problems in cancer chemotherapy with a toxicity limit, Math. Biosci. 100 (1990), 49-67. 18. No Authors, Twelve major cancers, Sci.