Fractals in Biology and Medicine

ISBN-13: 9783764357153 / Angielski / Twarda / 1998 / 374 str.

Danilo Merlini; Theo F. Nonnenmacher; Gabriele A. Losa

Opis

Fractals In Biology and Medicine, Volume II explores the potential of fractal geometry in understanding how to analyze natural shapes. The v olume devotes special emphasis to the complex field of human tumors by addressing the role of fractals in the design, organization and measu rement of cellular and molecular structures and of growth patterns in breast and skin carcinoma, in leukemic and lymphoma cells, As well as in bone, lung and renal diseases. The chapters are grouped into the fo llowing sections: Fractal design of biological structures and function s, Chromatin structure, DNA organization and nuclear membranes, and Fr actal structures in tumors and diseases. The volume focuses on current problems in biomedical research and will be invaluable for cell biolo gists, biomathematicians and laboratory oncologists.

Spis treści

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