Overview

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.

Full Product Details

Author:   Anita T. Layton ,  Aurelie Edwards
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2013
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   3.577kg
ISBN:  

9783642273667

ISBN 10:   3642273661
Pages:   221
Publication Date:   20 August 2014
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of Contents

1.Introduction: Basics of Kidney Physiology.- 2.Glomerular Filtration.- 3.Urine Concentration.- 4 Counter-current Exchange Across Vasa Recta.- 5.Tubuloglomerular Feedback.- 6.Electrophysiology of Renal Vascular Smooth Muscle Cells.- 7.Vasomotion and Myogenic Response of the Afferent Arteriole.- 8.Transport Across Tubular Epithelia.- 9.Solutions to Problem Sets.- Index.

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Author Information

Anita Layton is a faculty member in the Department of Mathematics at Duke University. In her work, she uses mathematical analysis and computational techniques to investigate aspects of kidney physiology, including the means by which the kidney controls blood flow, or produces a highly concentrated urine during periods of water deprivation. Aurelie Edwards is a director of research at the French National Center for Scientific Research, with a background in biological engineering. Her modeling work focuses on elucidating cellular signaling pathways in renal capillaries and tubules, and the role of vasoactive agents in regulating oxygen balance and salt transport in the kidney.

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