Nonlinear dynamics has become an important field of research in recent years in many areas of the natural sciences. In particular, it has potential applications in biology and medicine; nonlinear data analysis has helped to detect the progress of cardiac disease, physiological disorders, for example episodes of epilepsy, and others. This book focuses on the current trends of research concerning the prediction of sudden cardiac death and the onset of epileptic seizures, using the nonlinear analysis based on ECG and EEG data. Topics covered include the analysis of cardiac models and neural models. The book is a collection of recent research papers by leading physicists, mathematicians, cardiologists and neurobiologists who are actively involved in using the concepts of nonlinear dynamics to explore the functional behaviours of heart and brain under normal and pathological conditions. This collection is intended for students in physics, mathematics and medical sciences, and researchers in interdisciplinary areas of physics and biology.
Nonlinear science: physics, mathematics, biology and medicine
Contents. Part I Data Analysis. A Unified Approach to Attractor Reconstruction, Louis M. Pecora et. al.; Multifractal Analysis of Physiological Data: A Non-Subjective Approach, G. Ambika et. al.; Direction of Information Flow Between Heart Rate, Blood Pressure and Breathing, Teodor Buchner et. al.; Part II Cardiovascular Physics: Modelling. The Mathematical Modelling of Inhomogeneities in Ventricular, Tissue T.K. Shajahan et. al.; Controlling Spiral Turbulence in Simulated Cardiac Tissue by Low-Amplitude Traveling Wave Stimulation, Sitabhra Sinha et. al.; Suppression of Turbulent Dynamics in Models of Cardiac Tissue by Weak Local Excitations, E. Zhuchkova et. al.; Synchronization Phenomena in Networks of Oscillatory and Excitable Luo-Rudy Cells, G. V. Osipov et. al.; Nonlinear Oscillations in the Conduction System of the Heart â€“ A Model, Krzysztof Grudzinski et. al.; Part III Cardiovascular Physics: Data Analysis. Statistical Physics of Human Heart Rate in Health and Disease, Ken Kiyono et. al.; Cardiovascular Dynamics Following Open Heart Surgery: Early Impairment and Potential for Recovery, Robert Bauernschmitt et. al.; Application of Empirical Mode Decomposition to Cardiorespiratory Synchronization, Ming-Chya Wu et. al.; Part IV Cognitive and Neurosciences. Brain Dynamics and Modeling in Epilepsy: Prediction and Control Studies, Leonidas Iasemidis et. al.; An Expressive Body Language Underlies Drosophila Courtship Behavior, Ruedi Stoop et. al.; Speech Rhythms in Children Learning Two Languages, T. Padma Subhadra et. al.; The Role of Dynamical Instabilities and Fluctuations in Hearing, J. Balakrishnan et. al.; Electrical Noise in Cells, Membranes and Neurons, Subhendu Ghosh et. al.; Index.