Fractals in biology and medicine
著者
書誌事項
Fractals in biology and medicine
（Mathematics and biosciences in interaction）
Birkhäuser Verlag, c1998-
- v. 2 : Basel
- v. 2 : Boston
- v. 3 : Basel
- v. 4 : Basel
大学図書館所蔵 件 / 全19件
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v. 2 : Basel461/F43/28200006933,
v. 3 : Basel461/F43/38202006220, v. 4 : Basel461/F43/48205012886 -
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注記
v. 2: Papers given at the second international symposium held in Ascona, Switzerland, from March 6-9, 1996
v. 3: Papers given at the third international symposium held in Ascona, Switzerland, from March 8-11, 2000
v. 4: Papers given at the Fourth International Symposium held in Ascona, Switzerland on 10-13 March 2004
Includes bibliographical references and index
内容説明・目次
- 巻冊次
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v. 2 : Basel ISBN 9783764357153
内容説明
"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.
目次
Fractal Design of Biological Structures and Functions.- Some Remarks on Fractals and Dynamical Systems (Classical/Stochastic) in Biology.- Dynamical Generators of Levy 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 Levy Stable Processes.
- 巻冊次
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v. 3 : Basel ISBN 9783764364748
内容説明
In March 2000 leading scientists gathered at the Centro Seminariale Monte Verita, Ascona, Switzerland, for the Third International Symposium on "Fractals 2000 in Biology and Medicine". This interdisciplinary conference provided stimulating contributions from the very topical field Fractals in Biology and Medicine. This volume highlights the growing power and efficacy of the fractal geometry in understanding how to analyze living phenomena and complex shapes.
目次
- Fractal Design of Biological Structures and Functions.- Pattern Complexity in Organogenesis and Carcinogenesis.- Fractal Structure of Space and Time is Necessary for the Emergence of Self-Organization, Connectivity, and Collectivity in Cellular System.- Diffusion Screening, Acinus Size and Optimal Design of Mammalian Lungs.- Three-Dimensional Model of the Human Airway Tree Based on a Fractal Branching Algorithm.- Fractal Dimension, Form and Shape Factors for the Quantification of Nuclear Signature Profiles.- Fractal Signature Vectors and Lacunarity Class Distance Matrices to Extract New Adaptive Texture Features from Cell Nuclei.- Morphofractal Reorganization of Plasma Membrane and Nuclear Components during the Apoptosis of Breast Cancer Cells.- Fractal Analysis of Chromatin during Apoptosis.- Fractal Structures in Tumours and Diseases.- Asymptotic Fractals, Geostatistics and Hurst Parameter
- Heterogeneity and Histological Grades in Breast Cancer.- The Fractal Dimension of the Inner Surface of Neoplastic Mammary Ducts in Mammary Fibroadenomas and Mammary Carcinomas of Dog and Cat: Preliminary Data.- Classification of Prostatic Cancer Using Artificial Neural Networks.- Fractal Dimension Exponent for Quantitative Evaluation of Liver Extracellular Matrix in Biopsy Specimens.- Two-Dimensional Fractal Geometric Analysis of Bone Marrow Tissue in Hyperplasia, Refractory Anemia and Acute Leukemia.- Color-Based Method for Fractal Dimension Estimation of Pigmented Skin Lesion Contour.- The EEG Signal in Hepatic Encephalopathy: from a Time-Domain Statistical Analysis toward Fractional Brownian Processes.- A Fractal Approach of Pathological Voices.- A Vowel Fractal Dimension Study.- Bone Architecture Measured by Fractal Dimension and Connectivity Indices is More Precociously Altered than Mineral Content in the Orchidectomized Rat.- Texture Analyses of X-Ray Micrographs (Fractal Geometry and Run Length) are Better Predictors of Bone Loss than Mineral Content in a Rat Model of Localized Disuse Osteopenia.- Fractal Scaling of Heartrate Dynamics in Health and Disease.- Information States in Cardiac Rhythm.- Some Remarks on the Fractal Dimension Applications in.- Nuclear Medicine.- Organization and Evolution of Living Systems.- Fractional Calculus and Memory in Biophysical Time Series.- The Biological Meanings of DNA Correlations.- On the Fractal Structure of Evolutionary Trees.- Metabolic Hypercycles, Universality and Fractals in Biological Evolution.- The Universal Dynamic Complexity as Extended Dynamic Fractality: Causally Complete Understanding of Living Systems Emergence and Operation.- Modelling.- A Headful of T4 Coliphage DNA: Dynamical Modelling.- On Lacunarity Analysis.- The Fractal Dimension of the Coastline as a Determinant of Western Leadership in Science and Technology.- A Fractional Calculus Approach to Adsorbate Dynamics in.- Nanoporous Materials.- Complex Aspects of the Riemann Hypothesis: a Computational.- Approach.- Fractals in Architecture: Some Examples.
- 巻冊次
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v. 4 : Basel ISBN 9783764371722
内容説明
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 Benoit 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.
目次
Fractal Structures in Biological Systems.- Mandelbrot's Fractals and the Geometry of Life: A Tribute to Benoit Mandelbrot on his 80th Birthday.- Gas Diffusion through the Fractal Landscape of the Lung: How Deep Does Oxygen Enter the Alveolar System?.- Is the Lung an Optimal Gas Exchanger?.- 3D Hydrodynamics in the Upper Human Bronchial Tree: Interplay between Geometry and Flow Distribution.- Fractal Aspects of Three-Dimensional Vascular Constructive Optimization.- Cognition Network Technology: Object Orientation and Fractal Topology in Biomedical Image Analysis. Method and Applications.- The Use of Fractal Analysis for the Quantification of Oocyte Cytoplasm Morphology.- Fractal Structures in Neurosciences.- Fractal Analysis: Pitfalls and Revelations in Neuroscience.- Ongoing Hippocampal Neuronal Activity in Human: Is it Noise or Correlated Fractal Process?.- Do Mental and Social Processes have a Self-similar Structure? The Hypothesis of Fractal Affect-Logic.- Scaling Properties of Cerebral Hemodynamics.- A Multifractal Dynamical Model of Human Gait.- Dual Antagonistic Autonomic Control Necessary for 1/f Scaling in Heart Rate.- Fractal Structures in Tumours and Diseases.- Tissue Architecture and Cell Morphology of Squamous Cell Carcinomas Compared to Granular Cell Tumours' Pseudo-epitheliomatous Hyperplasia and to Normal Oral Mucosae.- Statistical Shape Analysis Applied to Automatic Recognition of Tumor Cells.- Fractal Analysis of Monolayer Cell Nuclei from Two Different Prognostic Classes of Early Ovarian Cancer.- Fractal Analysis of Vascular Network Pattern in Human Diseases.- Quantification of Local Architecture Changes Associated with Neoplastic Progression in Oral Epithelium using Graph Theory.- Fractal Analysis of Canine Trichoblastoma.- Fractal Dimension as a Novel Clinical Parameter in Evaluation of the Urodynamic Curves.- Nonlinear Dynamics in Uterine Contractions Analysis.- Computer-Aided Estimate and Modelling of the Geometrical Complexity of the Corneal Stroma.- The Fractal Paradigm.- Complex-Dynamical Extension of the Fractal Paradigm and its Applications in Life Sciences.- Fractal-like Features of Dinosaur Eggshells.- Evolution and Regulation of Metabolic Networks.- Cytoskeleton as a Fractal Percolation Cluster: Some Biological Remarks.- A Mystery of the Gompertz Function.- Fractional Calculus and Symbolic Solution of Fractional Differential Equations.- Fox-Function Representation of a Generalized Arrhenius Law and Applications.
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