Fractals in Biology and Medicine

Front Matter....Pages i-x
Front Matter....Pages 1-1
The Significance of Fractals for Biology and Medicine An Introduction and Summary....Pages 2-6
Front Matter....Pages 7-7
A Fractal’s Lacunarity, and how it can be Tuned and Measured....Pages 8-21
Spatial and Temporal Fractal Patterns in Cell and Molecular Biology....Pages 22-37
Chaos, Noise and Biological Data....Pages 38-54
Fractal Landscapes in Physiology & Medicine: Long-Range Correlations in DNA Sequences and Heart Rate Intervals....Pages 55-65
Front Matter....Pages 67-67
Design of Biological Organisms and Fractal Geometry....Pages 68-85
Fractal and Non-Fractal Growth of Biological Cell Systems....Pages 86-103
Evolutionary Meaning, Functions and Morphogenesis of Branching Structures in Biology....Pages 104-115
Relationship Between the Branching Pattern of Airways and the Spatial Arrangement of Pulmonary Acini — A Re-Examination from a Fractal Point of View....Pages 116-131
Multivariate Characterization of Blood Vessel Morphogenesis in the Avian Chorioallantoic Membrane (CAM): Cell Proliferation, Length Density and Fractal Dimension....Pages 132-140
Phyllotaxis or Self-Similarity in Plant Morphogenesis....Pages 141-157
Front Matter....Pages 159-159
Evolutionary Interplay Between Spontaneous Mutation and Selection: Aleatoric Contributions of Molecular Reaction Mechanisms....Pages 160-164
Error Propagation Theory of Chemically Solid Phase Synthesized Oligonucleotides and DNA Sequences for Biomedical Application....Pages 165-173
Fractional Relaxation Equations for Protein Dynamics....Pages 174-181
Measuring Fractal Dimensions of Cell Contours: Practical Approaches and their Limitations....Pages 182-189
Fractal Properties of Pericellular Membrane from Lymphocytes and Leukemic Cells....Pages 190-200
Cellular Sociology: Parametrization of Spatial Relationships Based on Voronoi Diagram and Ulam Trees....Pages 201-209
A Fractal Analysis of Morphological Differentiation of Spinal Cord Neurons in Cell Culture....Pages 210-220
Fractal Dimensions and Dendritic Branching of Neurons in the Somatosensory Thalamus....Pages 221-229
Front Matter....Pages 231-231
Organisms as Open Systems....Pages 232-240
Front Matter....Pages 231-231
Transfer to and across Irregular Membranes Modelled by Fractal Geometry....Pages 241-250
Scaling and Active Surface of Fractal Membranes....Pages 251-265
Structure Formation in Excitable Media....Pages 266-273
Colony Morphology of the Fungus Aspergillus Oryzae....Pages 274-282
Estimation of the Correlation Dimension of All-Night Sleep EEG Data with a Personal Super Computer....Pages 283-290
Front Matter....Pages 291-291
Changes in Fractal Dimension of Trabecular Bone in Osteoporosis: A Preliminary Study....Pages 292-299
Use of the Fractal Dimension to Characterize the Structure of Cancellous Bone in Radiographs of the Proximal Femur....Pages 300-306
Distribution of Local-Connected Fractal Dimension and the Degree of Liver Fattiness from Ultrasound....Pages 307-314
Fractal Dimension as a Characterisation Parameter of Premalignant and Malignant Epithelial Lesions of the Floor of the Mouth....Pages 315-322
Front Matter....Pages 323-323
Modelling HIV/AIDS Dynamics....Pages 324-330
Morphological Diagnosis Turns from Gestalt to Geometry....Pages 331-350
Fluorescence Recovery after Photobleaching Studied by Total Internal Reflection Microscopy: An Experimental System for Studies on Living Cells in Culture....Pages 351-362
Anomalous Diffusion and Angle-Dependency in the Theory of Fluorescence Recovery after Photobleaching....Pages 363-371
Back Matter....Pages 373-396