Microcirculation in Fractal Branching Networks

Authors: Takahashi, Tatsuhisa

  • Describes the function of microcirculation and micro-vessels mathematically
  • Includes a wealth of graphs of results from both simulation and in vivo studies
  • Provides insights into the physiology, function and pathological change
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About this book

This book presents a new method for analyzing the structure and function of the biological branching systems of fractal trees, with a focus on microcirculation. Branching systems in humans (vascular and bronchial trees) and those in the natural world (plants, trees, and rivers) are characterized by a fractal nature. To date, fractal studies have tended to concentrate on fractal dimensions, which quantify the complexity of objects, but the applications for practical use have remained largely unexplored. This book breaks new ground with topics that include the human retinal microcirculatory network, oxygen consumption by vascular walls, the Fåhraeus-Lindqvist effect, the bifurcation exponent, and the asymmetrical microvascular network. Readers are provided with simple formulas to express functions and a simulation graph with in vivo data. The book also discusses the mechanisms regulating blood flow and pressure and how they are related to pathological changes in the human body. Researchers and clinicians alike will find valuable new insights in these pioneering studies.

About the authors

Dr. Takahashi obtained PhD degree in Faculty of Engineering, Graduate School of Engineering, School of Engineering Hokkaido University, Japan in 1993. He started his carrier as an assistant professor at Department of Electrical and Information Engineering (renamed as Department of Bio-system Engineering in 2000) of Yamagata University in the same year. He received ESM Travel Award by the European Society for Microcirculation in 1992. He moved to Department of Mathematical Information Science of Asahikawa Medical University as an associate professor in 2002.

Table of contents (6 chapters)

  • Branching Systems of Fractal Vascular Trees

    Takahashi, Tatsuhisa

    Pages 1-24

  • A Theoretical Model for the Microcirculatory Network

    Takahashi, Tatsuhisa

    Pages 25-45

  • Oxygen Consumption by Vascular Walls in the Retinal Vasculature

    Takahashi, Tatsuhisa

    Pages 47-69

  • The Fåhraeus–Lindqvist Effect on the Retinal Microcirculation

    Takahashi, Tatsuhisa

    Pages 71-92

  • Effects of a Reduction in the Bifurcation Exponent from 3.00 to 2.85 on Microcirculation

    Takahashi, Tatsuhisa

    Pages 93-112

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-4-431-54508-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-4-431-54507-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-4-431-56163-7
  • 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
Microcirculation in Fractal Branching Networks
Authors
Copyright
2014
Publisher
Springer Japan
Copyright Holder
Springer Japan
Distribution Rights
Distribution rights for India: CBS Publishers, New Delhi, India
eBook ISBN
978-4-431-54508-8
DOI
10.1007/978-4-431-54508-8
Hardcover ISBN
978-4-431-54507-1
Softcover ISBN
978-4-431-56163-7
Edition Number
1
Number of Pages
XIII, 138
Number of Illustrations and Tables
43 b/w illustrations
Topics