Lecture Notes on Mathematical Modelling in the Life Sciences

Mathematical Modeling in Renal Physiology

Authors: Layton, Anita T., Edwards, Aurélie

  • Written by experts in academia
  • Provides the mathematical and biological basis needed to understand transport phenomena in the kidney
  • First book of this kind on the market
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eBook $54.99
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  • ISBN 978-3-642-27367-4
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Softcover $72.00
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  • ISBN 978-3-642-27366-7
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About this book

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.

About the authors

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.

Aurélie 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.

Table of contents (9 chapters)

  • Introduction: Basics of Kidney Physiology

    Layton, Anita T. (et al.)

    Pages 1-5

  • Glomerular Filtration

    Layton, Anita T. (et al.)

    Pages 7-41

  • Urine Concentration

    Layton, Anita T. (et al.)

    Pages 43-61

  • Counter-Current Exchange Across Vasa Recta

    Layton, Anita T. (et al.)

    Pages 63-83

  • Tubuloglomerular Feedback

    Layton, Anita T. (et al.)

    Pages 85-106

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-642-27367-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $72.00
price for USA
  • ISBN 978-3-642-27366-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Modeling in Renal Physiology
Authors
Series Title
Lecture Notes on Mathematical Modelling in the Life Sciences
Copyright
2014
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-27367-4
DOI
10.1007/978-3-642-27367-4
Softcover ISBN
978-3-642-27366-7
Series ISSN
2193-4789
Edition Number
1
Number of Pages
VIII, 221
Number of Illustrations and Tables
56 b/w illustrations, 4 illustrations in colour
Topics