Microcirculation in Fractal Branching Networks

  • Tatsuhisa Takahashi

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Tatsuhisa Takahashi
    Pages 1-24
  3. 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.


Fractal analysis Microcirculation Murray's model Retinal Vasculature Shear Rate

Authors and affiliations

  • Tatsuhisa Takahashi
    • 1
  1. 1.Dept. Mathematical Information ScienceAsahikawa Medical UniversityAsahikawaJapan

Bibliographic information

  • DOI
  • Copyright Information Springer Japan 2014
  • Publisher Name Springer, Tokyo
  • eBook Packages Medicine
  • Print ISBN 978-4-431-54507-1
  • Online ISBN 978-4-431-54508-8
  • Buy this book on publisher's site