EBOOK Nonlinear Dynamics In Physiology
Opis
A State-Space Approach
This book provides a compilation of mathematical-computational tools that are used to analyze experimental data. The techniques presented are those that have been most widely and successfully applied to the analysis of physiological systems, and address issues such as randomness, determinism, dimension, and nonlinearity. In addition to bringing together the most useful methods, sufficient mathematical background is provided to enable non-specialists to understand and apply the computational techniques. Thus, the material will be useful to life-science investigators on several levels, from physiologists to bioengineer.Initial chapters present background material on dynamic systems, statistics, and linear system analysis. Each computational technique is demonstrated with examples drawn from physiology, and several chapters present case studies from oculomotor control, neuroscience, cardiology, psychology, and epidemiology. Throughout the text, historical notes give a sense of the development of the field and provide a perspective on how the techniques were developed and where they might lead. The overall approach is based largely on the analysis of trajectories in the state space, with emphasis on time-delay reconstruction of state-space trajectories. The goal of the book is to enable readers to apply these methods to their own research.Contents:The Mathematical Analysis of Physiological Systems: Goals and ApproachesFundamental Signal Processing and Analysis Concepts and MeasuresAnalysis Approaches Based on Linear SystemsState-Space ReconstructionDimensionsSurrogate DataNonlinear ForecastingRecurrence AnalysisTests for Dynamical InterdependenceUnstable Periodic OrbitsOther Approaches Based on the State SpacePoincaré Sections, Fixed Points, and Control of Chaotic SystemsStochastic Measures Related to Nonlinear Dynamical ConceptsFrom Measurements to ModelsCase Study — Oculomotor ControlCase Study — Motor ControlCase Study — Neurological TremorCase Study — Neural Dynamics and EpilepsyCase Study — Cardiac Dynamics and FibrillationCase Study — EpidemiologyCase Study — PsychologyReadership: Life-science researchers and students of biomedical and clinical fields. Graduates in biomedical engineering and neural engineering.
This book provides a compilation of mathematical-computational tools that are used to analyze experimental data. The techniques presented are those that have been most widely and successfully applied to the analysis of physiological systems, and address issues such as randomness, determinism, dimension, and nonlinearity. In addition to bringing together the most useful methods, sufficient mathematical background is provided to enable non-specialists to understand and apply the computational techniques. Thus, the material will be useful to life-science investigators on several levels, from physiologists to bioengineer.Initial chapters present background material on dynamic systems, statistics, and linear system analysis. Each computational technique is demonstrated with examples drawn from physiology, and several chapters present case studies from oculomotor control, neuroscience, cardiology, psychology, and epidemiology. Throughout the text, historical notes give a sense of the development of the field and provide a perspective on how the techniques were developed and where they might lead. The overall approach is based largely on the analysis of trajectories in the state space, with emphasis on time-delay reconstruction of state-space trajectories. The goal of the book is to enable readers to apply these methods to their own research.Contents:The Mathematical Analysis of Physiological Systems: Goals and ApproachesFundamental Signal Processing and Analysis Concepts and MeasuresAnalysis Approaches Based on Linear SystemsState-Space ReconstructionDimensionsSurrogate DataNonlinear ForecastingRecurrence AnalysisTests for Dynamical InterdependenceUnstable Periodic OrbitsOther Approaches Based on the State SpacePoincaré Sections, Fixed Points, and Control of Chaotic SystemsStochastic Measures Related to Nonlinear Dynamical ConceptsFrom Measurements to ModelsCase Study — Oculomotor ControlCase Study — Motor ControlCase Study — Neurological TremorCase Study — Neural Dynamics and EpilepsyCase Study — Cardiac Dynamics and FibrillationCase Study — EpidemiologyCase Study — PsychologyReadership: Life-science researchers and students of biomedical and clinical fields. Graduates in biomedical engineering and neural engineering.