Skip to main content
  • Book
  • © 2014

Microcirculation in Fractal Branching Networks

  • 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

Buying options

eBook EUR 139.09
Price includes VAT (Finland)
  • ISBN: 978-4-431-54508-8
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book EUR 181.49
Price includes VAT (Finland)
Hardcover Book EUR 181.49
Price includes VAT (Finland)

This is a preview of subscription content, access via your institution.

Table of contents (6 chapters)

  1. Front Matter

    Pages i-xiii
  2. Branching Systems of Fractal Vascular Trees

    • Tatsuhisa Takahashi
    Pages 1-24
  3. Asymmetrically Branching Microvascular Networks

    • Tatsuhisa Takahashi
    Pages 113-130
  4. Back Matter

    Pages 131-138

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.

Keywords

  • Fractal analysis
  • Microcirculation
  • Murray's model
  • Retinal Vasculature
  • Shear Rate

Authors and Affiliations

  • Dept. Mathematical Information Science, Asahikawa Medical University, Asahikawa, Japan

    Tatsuhisa Takahashi

About the author

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.

Bibliographic Information

  • Book Title: Microcirculation in Fractal Branching Networks

  • Authors: Tatsuhisa Takahashi

  • DOI: https://doi.org/10.1007/978-4-431-54508-8

  • Publisher: Springer Tokyo

  • eBook Packages: Medicine, Medicine (R0)

  • Copyright Information: Springer Japan 2014

  • Hardcover ISBN: 978-4-431-54507-1

  • Softcover ISBN: 978-4-431-56163-7

  • eBook ISBN: 978-4-431-54508-8

  • Edition Number: 1

  • Number of Pages: XIII, 138

  • Number of Illustrations: 43 b/w illustrations

  • Topics: Cardiology, Ophthalmology, Mathematical and Computational Biology

Buying options

eBook EUR 139.09
Price includes VAT (Finland)
  • ISBN: 978-4-431-54508-8
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book EUR 181.49
Price includes VAT (Finland)
Hardcover Book EUR 181.49
Price includes VAT (Finland)