Advertisement

Mathematical Modeling in Renal Physiology

  • Anita T. Layton
  • Aurélie Edwards

Table of contents

  1. Front Matter
    Pages i-viii
  2. Anita T. Layton, Aurélie Edwards
    Pages 1-5
  3. Anita T. Layton, Aurélie Edwards
    Pages 7-41
  4. Anita T. Layton, Aurélie Edwards
    Pages 43-61
  5. Anita T. Layton, Aurélie Edwards
    Pages 63-83
  6. Anita T. Layton, Aurélie Edwards
    Pages 85-106
  7. Anita T. Layton, Aurélie Edwards
    Pages 107-140
  8. Anita T. Layton, Aurélie Edwards
    Pages 141-154
  9. Anita T. Layton, Aurélie Edwards
    Pages 155-183
  10. Anita T. Layton, Aurélie Edwards
    Pages 185-218
  11. Back Matter
    Pages 219-221

About this book

Introduction

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.

With the availability of high speed computers and advances in computational techniques, the application of mathematical modeling to biological systems is expanding. The models presented in this book 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.

Anita T. Layton is the Robert R. and Katherine B. Penn Associate Professor of Mathematics at Duke University.

Aurélie Edwards is director of the Laboratory of Renal Physiology at the Cordeliers Research Center in Paris, in affiliation with the French National Center for Scientific Research (CNRS).

Keywords

92C30, 92B99 biology differential equations kidney mathematical modeling physiology

Authors and affiliations

  • Anita T. Layton
    • 1
  • Aurélie Edwards
    • 2
  1. 1.Duke University Department of MathematicsDurhamUSA
  2. 2.Centre de Recherche des Cordeliers ERL 8228, UMRS 1138 Equipe 3ParisFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-27367-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 2014
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-27366-7
  • Online ISBN 978-3-642-27367-4
  • Series Print ISSN 2193-4789
  • Series Online ISSN 2193-4797
  • Buy this book on publisher's site
Industry Sectors
Pharma