This volume highlights the growing power and efficacy of the fractal geometry in
understanding how to analyze living phenomena and complex shapes. In March 2000 …

" Fractals in Biology and Medicine" explores the potential of fractal geometry for describing
and understanding biological organisms, their development and growth as well as their …

The extension of the concepts of Fractal Geometry (Mandelbrot [1983]) toward the life
sciences has led to significant progress in understanding complex functional properties and …

Fractal Geometry in Biological Systems was written by the leading experts in the field of
mathematics and the biological sciences together. It is intended to inform researchers in the …

It is accepted beyond any doubt that biological shape is related to function. Numerous
examples could be mentioned. Folding of a protein is important for its function [I]. The shape …

This exceptional book is concerned with the application of fractals and chaos, as well as
other concepts from nonlinear dynamics to biomedical phenomena. Herein we seek to …

Applying fractal geometry to science is bringing about a breakthrough in our understanding
of complex systems in nature that show self-similar or self-affine features. Self-similar and …

Page 1 NONLINEAR SCIENCE THEORY AND APPLICATIONS Fractals in the physical sciences
HIDEKI TAKAYASU Page 2 1 Page 3 Page 4 Page 5 Page 6 Page 7 NONLINEAR SCIENCE …

The irregularity and self-similarity under scale changes are the main attributes of the
morphologic complexity of cells and tissues, either normal or pathologic. In other words, the …

The natural complexity of the brain, its hierarchical structure, and the sophisticated
topological architecture of the neurons organized in micronetworks and macronetworks are …