With the availability of high speed computers and advances in
computational techniques, the application of mathematical modeling
to biological systems is expanding. This comprehensive and richly
illustrated volume provides up-to-date, wide-ranging material on
the mathematical modeling of kidney physiology, including clinical
data analysis and practice exercises. Basic concepts and modeling
techniques introduced in this volume can be applied to other areas
(or organs) of physiology.
The models presented describe the main homeostatic functions
performed by the kidney, including blood filtration, excretion of
water and salt, maintenance of electrolyte balance and regulation
of blood pressure. Each chapter includes an introduction to the
basic relevant physiology, a derivation of the essential
conservation equations and then a discussion of a series of
mathematical models, with increasing level of complexity.
This volume will be of interest to biological and mathematical
scientists, as well as physiologists and nephrologists, who would
like an introduction to mathematical techniques that can be applied
to renal transport and function. The material is written for
students who have had college-level calculus, but can be used in
modeling courses in applied mathematics at all levels through early
graduate courses.
General
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