Fractals in Biology and Medicine

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"Fractals in Biology and Medicine, Volume 2" explores the potential of the fractal geometry in understanding how to analyse natural shapes. The volume devotes special emphasis to the complex field of human tumours.

Author(s): Sergio Albeverio (auth.), Prof. Dr. Gabriele A. Losa, Prof. Dr. Danilo Merlini, Prof. Dr. Theo F. Nonnenmacher, Prof. Dr. Ewald R. Weibel (eds.)
Series: Mathematics and Biosciences in Interaction
Edition: 1
Publisher: Birkhäuser Basel
Year: 1998

Language: English
Pages: 374
Tags: Life Sciences, general; Biomedicine general

Front Matter....Pages i-viii
Front Matter....Pages 1-1
Some Remarks on Fractals and Dynamical Systems (Classical/Stochastic) in Biology....Pages 2-16
Dynamical Generators of Lévy Statistics in Biology....Pages 17-29
Biological Cellular Morphometry-Fractal Dimensions, Lacunarity and Multifractals....Pages 30-49
Spatial Pattern Analysis using Chaos Theory: A Nonlinear Deterministic Approach to the Histological Texture of Tumours....Pages 50-72
Asymptotic Fractals....Pages 73-85
Special Approaches of Image Analysis to the Measurement of Fractal Dimension....Pages 86-96
Fractal Analysis of Landscapes in Medicine....Pages 97-113
Fractal Regional Myocardial Blood Flows: The Anatomical Basis....Pages 114-127
Arterial Vasomotion: Effect of Mechanical Forces and Evidence of Nonlinear Dynamics....Pages 128-138
Dynamical Analysis of Heartbeat Interval Time Series After Cardiac Transplantation....Pages 139-151
Low-Dimensional Chaos in Large Conductance Ca-Activated K-Channel Gating Kinetics....Pages 152-164
p -Adic Model for Population Growth....Pages 165-168
Evolution of Life in a Fractal Universe....Pages 169-187
Front Matter....Pages 189-189
Fractal Dimension of Perinuclear Membrane and of Nuclear Membrane-bound Heterochromatin in Human Breast Cancer Cells Targeted by Steroid Hormones....Pages 190-206
Fractal Analysis of Heterochromatin Nuclear Domains in Lymphocytes....Pages 207-219
Fractal Approach to the Study of Chromatin Texture....Pages 220-225
Fractal Dimension of Lymphocytic Nuclear Membrane in Mycosis Fungoides and Chronic Dermatitis....Pages 226-230
Modeling the Dynamics of Nonenzymatic and Enzymatic Nucleotide Processes by Fractal Dimension....Pages 231-237
A Headful of T4 Coliphage DNA Packaged to Fasces-Like Globules in Fractal Models....Pages 238-254
Front Matter....Pages 255-266
Complexity in Tumour Growth Patterns....Pages 267-267
Fractal Dimension of Epithelial-Connective Tissue Interface in Basal Cell Carcinoma of the Skin....Pages 268-283
Fractal Geometry of the Human Renal Arterial Tree in Development, Health and Disease....Pages 284-293
Discriminating Properties of Wide Dynamic Range Neurons by Means of Universal Multifractals....Pages 294-313
Fractal Analysis of Nuclear Medicine Scans....Pages 314-325
Changes in Bone Strength during Repair Predicted by Fractal Analysis of Radiographs....Pages 326-334
Fractal Distribution of Serosal Lymphatics....Pages 335-344
NMR Studies of Anomalous Diffusion in Biological Tissues: Experimental Observation of Lévy Stable Processes....Pages 345-353
Back Matter....Pages 354-364
....Pages 366-373