Titlebook: Mathematical Modeling in Renal Physiology; Anita T. Layton,Aurélie Edwards Book 2014 Springer-Verlag Berlin Heidelberg 2014 92C30, 92B99.b

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Book 2014s 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 o

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Urine Concentration,ess. To learn how to build those models, we first derive equations that represent tubular flow, transmural water flux, and transmural solute fluxes along a renal tubule. We then develop models that simulate countercurrent multiplication in a loop, and we study factors that affect the efficiency of the concentrating mechanism.

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Counter-Current Exchange Across Vasa Recta,e plasma and red blood cell compartments of vasa recta. Lastly, we examine the specific case of oxygen, which is supplied by vasa recta and provides the energy needed for active reabsorption across renal tubules.

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Glomerular Filtration,filtration. These models seek to relate the filtration properties of the capillary wall to its structure, so as to better understand the underlying causes of changes in glomerular selectivity. We first describe the general equations that govern filtration across a porous, size-selective membrane. We

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Urine Concentration,urine is produced when water is reabsorbed, in excess of solutes, from the collecting ducts and into the renal vasculature, thereby concentrating the collecting duct fluid, which eventually emerges as urine. In this chapter, we introduce mathematical models that simulate the urine concentrating proc

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