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Mathematics and Biosciences in Interaction

Fractals in Biology and Medicine

Volume IV

Editors: Losa, G.A., Merlini, D., Nonnenmacher, T.F., Weibel, E.R. (Eds.)

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  • ISBN 978-3-7643-7412-9
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Hardcover $219.99
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About this book

This volume is number four in a series of proceedings volumes from the International Symposia on Fractals in Biology and Medicine in Ascona, Switzerland which have been inspired by the work of Benoît Mandelbrot seeking to extend the concepts towards the life sciences. It highlights the potential that fractal geometry offers for elucidating and explaining the complex make-up of cells, tissues and biological organisms either in normal or in pathological conditions, including the structural changes that occur in tumours. It helps develop the concepts, questions and methods required in research on fractal biology and natural phenomena and to evidence the pitfalls of a too simplistic application of these principles in investigating topical subjects of biology and medicine. It discusses present and future applications of fractal geometry, bringing together cellular and molecular biology, engineering, mathematics, physics, medicine and other disciplines and allowing an interdisciplinary vision. The book should be of interest to researchers and students from molecular and cell biology, biomedicine, biomathematics, analytical morphology, immunology and neurology who are interested in the combination of mathematics and life sciences.

Table of contents (29 chapters)

Table of contents (29 chapters)
  • Mandelbrot’s Fractals and the Geometry of Life: A Tribute to Benoît Mandelbrot on his 80th Birthday

    Pages 3-16

    Weibel, Ewald R.

  • Gas Diffusion through the Fractal Landscape of the Lung: How Deep Does Oxygen Enter the Alveolar System?

    Pages 17-30

    Hou, Chen (et al.)

  • Is the Lung an Optimal Gas Exchanger?

    Pages 31-42

    Gheorghiu, S. (et al.)

  • 3D Hydrodynamics in the Upper Human Bronchial Tree: Interplay between Geometry and Flow Distribution

    Pages 43-53

    Mauroy, B.

  • Fractal Aspects of Three-Dimensional Vascular Constructive Optimization

    Pages 55-66

    Hahn, Horst K. (et al.)

Buy this book

eBook $169.00
price for USA in USD (gross)
  • ISBN 978-3-7643-7412-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $219.99
price for USA in USD
  • ISBN 978-3-7643-7172-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Fractals in Biology and Medicine
Book Subtitle
Volume IV
Editors
  • Gabriele A. Losa
  • Danilo Merlini
  • Theo F. Nonnenmacher
  • Ewald R. Weibel
Series Title
Mathematics and Biosciences in Interaction
Copyright
2005
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-7412-9
DOI
10.1007/3-7643-7412-8
Hardcover ISBN
978-3-7643-7172-2
Edition Number
1
Number of Pages
VII, 314
Topics