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.
