Fractals in Biology and Medicine

Preface: Summary of the Symposium.- The Significance of Fractals for Biology and Medicine. An Introduction and Summary.- Fractal Geometry and Biomedical Sciences7.- A Fractal's Lacunarity, and how it can be Tuned and Measured.- Spatial and Temporal Fractal Patterns in Cell and Molecular Biology.- Chaos, Noise and Biological Data.- Fractal Landscapes in Physiology & Medicine: Long-Range Correlations in DNA Sequences and Heart Rate Intervals.- Fractals in Biological Design and Morphogenesis.- Design of Biological Organisms and Fractal Geometry.- Fractal and Non-Fractal Growth of Biological Cell Systems.- Evolutionary Meaning, Functions and Morphogenesis of Branching Structures in Biology.- Relationship Between the Branching Pattern of Airways and the Spatial Arrangement of Pulmonary Acini - A Re-Examination from a Fractal Point of View.- Multivariate Characterization of Blood Vessel Morphogenesis in the Avian Chorioallantoic Membrane (CAM): Cell Proliferation, Length Density and Fractal Dimension.- Phyllotaxis or Self-Similarity in Plant Morphogenesis.- Fractals in Molecular and Cell Biology.- Evolutionary Interplay Between Spontaneous Mutation and Selection: Aleatoric Contributions of Molecular Reaction Mechanisms.- Error Propagation Theory of Chemically Solid Phase Synthesized Oligonucleotides and DNA Sequences for Biomedical Application.- Fractional Relaxation Equations for Protein Dynamics.- Measuring Fractal Dimensions of Cell Contours: Practical Approaches and their Limitations.- Fractal Properties of Pericellular Membrane from Lymphocytes and Leukemic Cells.- Cellular Sociology: Parametrization of Spatial Relationships Based on Voronoi Diagram and Ulam Trees.- A Fractal Analysis of Morphological Differentiation of Spinal Cord Neurons in Cell Culture.- Fractal Dimensions and Dendritic Branching of Neurons in the Somatosensory Thalamus.- Fractal Structure and Metabolic Functions.- Organisms as Open Systems.- Transfer to and across Irregular Membranes Modelled by Fractal Geometry.- Scaling and Active Surface of Fractal Membranes.- Structure Formation in Excitable Media.- Colony Morphology of the Fungus Aspergillus Oryzae.- Estimation of the Correlation Dimension of All-Night Sleep EEG Data with a Personal Super Computer.- Fractals in Pathology.- Changes in Fractal Dimension of Trabecular Bone in Osteoporosis: A Preliminary Study.- Use of the Fractal Dimension to Characterize the Structure of Cancellous Bone in Radiographs of the Proximal Femur.- Distribution of Local-Connected Fractal Dimension and the Degree of Liver Fattiness from Ultrasound.- Fractal Dimension as a Characterisation Parameter of Premalignant and Malignant Epithelial Lesions of the Floor of the Mouth.- Modelling.- Modelling HIV/AIDS Dynamics.- Morphological Diagnosis Turns from Gestalt to Geometry.- Fluorescence Recovery after Photobleaching Studied by Total Internal Reflection Microscopy: An Experimental System for Studies on Living Cells in Culture.- Anomalous Diffusion and Angle-Dependency in the Theory of Fluorescence Recovery after Photobleaching.- List of Speakers.- List of Participants.... Mehr