Fractals in Biology and Medicine: Volume II / Edition 1

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Overview

"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.

Incl. fractals in design/organization/measurement of cell/ molecular structures and growth in breast and skin carcinoma

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Product Details

Table of Contents

Foreword
Some Remarks on Fractals and Dynamical Systems (Classical/Stochastic) in Biology 2
Dynamical Generators of Levy Statistics in Biology 17
Biological Cellular Morphometry-Fractal Dimensions, Lacunarity and Multifractals 30
Spatial Pattern Analysis using Chaos Theory: A Nonlinear Deterministic Approach to the Histological Texture of Tumours 50
Asymptotic Fractals 73
Special Approaches of Image Analysis to the Measurement of Fractal Dimension 86
Fractal Analysis of Landscapes in Medicine 97
Fractal Regional Myocardial Blood Flows: The Anatomical Basis 114
Arterial Vasomotion: Effect of Mechanical Forces and Evidence of Nonlinear Dynamics 128
Dynamical Analysis of Heartbeat Interval Time Series After Cardiac Transplantation 139
Low-Dimensional Chaos in Large Conductance Ca-Activated K-Channel Gating Kinetics 152
p-Adic Model for Population Growth 165
Evolution of Life in a Fractal Universe 169
Fractal Characterization of Nuclear Texture in Breast Cytology: Frequency and Spatial Domain Approaches 190
Fractal Dimension of Perinuclear Membrane and of Nuclear Membrane-bound Heterochromatin in Human Breast Cancer Cells Targeted by Steroid Hormones 207
Fractal Analysis of Heterochromatin Nuclear Domains in Lymphocytes 220
Fractal Approach to the Study of Chromatin Texture 226
Fractal Dimension of Lymphocytic Nuclear Membrane in Mycosis Fungoides and Chronic Dermatitis 231
Modeling the Dynamics of Nonenzymatic and Enzymatic Nucleotide Processes by Fractal Dimension 238
A Headful of T4 Coliphage DNA Packaged to Fasces-Like Globules in Fractal Models 255
Complexity in Tumour Growth Patterns 268
Fractal Dimension of Epithelial-Connective Tissue Interface in Basal Cell Carcinoma of the Skin 284
Fractal Geometry of the Human Renal Arterial Tree in Development, Health and Disease 294
Discriminating Properties of Wide Dynamic Range Neurons by Means of Universal Multifractals 314
Fractal Analysis of Nuclear Medicine Scans 326
Changes in Bone Strength during Repair Predicted by Fractal Analysis of Radiographs 335
Fractal Distribution of Serosal Lymphatics 345
NMR Studies of Anomalous Diffusion in Biological Tissues: Experimental Observation of Levy Stable Processes 354
Index 365
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