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• catalog contributor b6400043.
• catalog contributor b6400044.
• catalog contributor b6400045.
• catalog created "1994.".
• catalog date "1994".
• catalog date "1994.".
• catalog dateCopyrighted "1994.".
• catalog description "(cont) Fractal vascular anatomy -- Dichotomous branching fractal network models for flow heterogeneity -- Scaling relationships within an organ -- Scaling relationships from animal to animal -- Do fractal rules extend to microvascular units -- Fractal flow and fractal washout -- Fractal growth -- Primitive growth patterns -- Influences of matrix structure on the form -- More general types of aggregation processes -- Neuronal growth patterns -- Algorithms for vascular growth -- Patterns of vascular branching -- Phylogeny versus ontogeny -- Mechanisms that produce fractals -- Fractals describe phenomena and give hints about their causes -- Single process or many processes -- Single causes that spread across many scales -- Different causes that become linked across many scales -- Chaos in physiological systems -- Cardiovascular chaos -- Metabolism -- Chaotic brain -- Physiological advantages of chaos -- Special situations.".
• catalog description "(cont) Generating one-dimensional fractal time series -- Properties of chaotic phenomena -- Fractals and chaos share ideas and methods but they are not the same thing -- Defining properties of chaos -- Additional features of chaos -- Change in perspective -- From time to topology: is a process driven by chance or necessity -- Distinguishing chaos from randomness -- Methods suggestive of underlying chaos -- Phase space and pseudo-phase space -- Additional types of deterministic relationships -- Capacity, correlation and information dimensions -- Good news and bad news about this analysis -- Physiological applications -- Ion channel kinetics: a fractal time sequence of conformational states -- Patch clamp -- Models of ion channel kinetics -- Comparison of Markov and fractal models -- Uncovering mechanisms giving fractal channel kinetics -- Fractals in nerve and muscle -- Spread of excitation -- Fractal heart -- Fractal neurons -- Spatiotemporal organization -- Intraorgan flow heterogeneities -- Methods of measuring regional flows -- Estimating the fractal D for flow heterogeneity.".
• catalog description "Includes bibliographical references (p. 328-354) and index.".
• catalog description "Introduction: fractals really are everywhere -- Fractals are everywhere -- Structures in space -- Processes in time -- Meaning of fractals -- Properties of fractals and chaos -- Properties of fractal phenomena in space and time -- Self-similarity: parts that look like the whole -- Scaling: the measure depends on the resolution -- Fractal dimension: a quantitative measure of self-similarity and scaling -- Surprising statistical properties of fractals -- Fractal dimension: self-similar and self-accline scaling -- Branching in the lung: power law scaling -- More complex scaling relationship: weierstrass scaling -- Branching in the lung: weierstrass scaling -- Fractal measures of heterogeneity and correlation -- Dispersional analysis -- Rescaled range analysis: the hurst exponent, H -- Correlation versus distance -- History of fractal correlation analysis -- Generating fractals -- Mandelbrot set -- Line replacement rules -- Area and volume replacement rules -- Logistic equation -- Iterated function systems -- Collage theorem -- Lindenmayer systems -- Cellular automata -- Cellular growth processes.".
• catalog extent "xi, 364 p. :".
• catalog identifier "0195080130".
• catalog isPartOf "Methods in physiology series ; 2.".
• catalog isPartOf "The American Physiological Society methods in physiology series ; [2]".
• catalog issued "1994".
• catalog issued "1994.".
• catalog language "eng".
• catalog publisher "New York : Published for the American Physiological Society by Oxford University Press,".
• catalog subject "599/.01/0151474 20".
• catalog subject "Biological systems Mathematical models.".
• catalog subject "Chaotic behavior in systems.".
• catalog subject "Fractals.".
• catalog subject "Models, Biological.".
• catalog subject "Nonlinear Dynamics.".
• catalog subject "Physiology Mathematical models.".
• catalog subject "QP33.6.C48 B37 1994".
• catalog tableOfContents "(cont) Fractal vascular anatomy -- Dichotomous branching fractal network models for flow heterogeneity -- Scaling relationships within an organ -- Scaling relationships from animal to animal -- Do fractal rules extend to microvascular units -- Fractal flow and fractal washout -- Fractal growth -- Primitive growth patterns -- Influences of matrix structure on the form -- More general types of aggregation processes -- Neuronal growth patterns -- Algorithms for vascular growth -- Patterns of vascular branching -- Phylogeny versus ontogeny -- Mechanisms that produce fractals -- Fractals describe phenomena and give hints about their causes -- Single process or many processes -- Single causes that spread across many scales -- Different causes that become linked across many scales -- Chaos in physiological systems -- Cardiovascular chaos -- Metabolism -- Chaotic brain -- Physiological advantages of chaos -- Special situations.".
• catalog tableOfContents "(cont) Generating one-dimensional fractal time series -- Properties of chaotic phenomena -- Fractals and chaos share ideas and methods but they are not the same thing -- Defining properties of chaos -- Additional features of chaos -- Change in perspective -- From time to topology: is a process driven by chance or necessity -- Distinguishing chaos from randomness -- Methods suggestive of underlying chaos -- Phase space and pseudo-phase space -- Additional types of deterministic relationships -- Capacity, correlation and information dimensions -- Good news and bad news about this analysis -- Physiological applications -- Ion channel kinetics: a fractal time sequence of conformational states -- Patch clamp -- Models of ion channel kinetics -- Comparison of Markov and fractal models -- Uncovering mechanisms giving fractal channel kinetics -- Fractals in nerve and muscle -- Spread of excitation -- Fractal heart -- Fractal neurons -- Spatiotemporal organization -- Intraorgan flow heterogeneities -- Methods of measuring regional flows -- Estimating the fractal D for flow heterogeneity.".
• catalog tableOfContents "Introduction: fractals really are everywhere -- Fractals are everywhere -- Structures in space -- Processes in time -- Meaning of fractals -- Properties of fractals and chaos -- Properties of fractal phenomena in space and time -- Self-similarity: parts that look like the whole -- Scaling: the measure depends on the resolution -- Fractal dimension: a quantitative measure of self-similarity and scaling -- Surprising statistical properties of fractals -- Fractal dimension: self-similar and self-accline scaling -- Branching in the lung: power law scaling -- More complex scaling relationship: weierstrass scaling -- Branching in the lung: weierstrass scaling -- Fractal measures of heterogeneity and correlation -- Dispersional analysis -- Rescaled range analysis: the hurst exponent, H -- Correlation versus distance -- History of fractal correlation analysis -- Generating fractals -- Mandelbrot set -- Line replacement rules -- Area and volume replacement rules -- Logistic equation -- Iterated function systems -- Collage theorem -- Lindenmayer systems -- Cellular automata -- Cellular growth processes.".
• catalog title "Fractal physiology / James B. Bassingthwaighte, Larry S. Liebovitch, Bruce J. West.".
• catalog type "text".