Dynamics of Biological Systems

Biological Systems and Dynamics In the Beginning The Hemodynamic System Cheyne-Stokes Respiration Population Dynamics of a Single Species Fibonacci, Malthus and Nicholsons Blowflies Fixed Points and Stability of a One-Dimensional First Order Difference Equation The Cobweb Diagram An Example: Hormone Secretion Higher Dimensional Maps Period Doubling Bifurcation in Infant Respiration Observability of Dynamic Variables Bioelectric Phenomena Measurement ECG, EEG, EMG, EOG and All That Measuring Movement Measuring Temperature Measuring Oxygen Concentration Biomedical Imaging The Importance of Measurement Biomedical Signal Processing Segmentation Error Measure and Automatic Analysis of EEGs ECG Signal Processing Vector Cardiography Embedology and State Space Representation Fractals, Chaos and Nonlinear Dynamics Prediction Computational Neurophysiology The Cell Action Potentials and Ion Channels Ficks Law, Ohms Law and the Einstein Relation Cellular Equilibrium: Nernst and Goldman Equivalent Circuits Dendrites Mathematical Neurodynamics Hodgkin, Huxley and the Squid Giant Axon FitzHugh-Nagumo Model Fixed Points and Stability of a One-Dimensional Differential Equation Nullclines and Phase Plane Pitchfork and Hopf Bifurcations in Two Dimensions Excitability Population Dynamics Predator-Prey Interactions Fixed Points and Stability of Two-Dimensional Differential Equations Disease Models: SIS, SIR and SEIR SARS in Hong Kong Action, Reaction and Diffusion Black Death and Spatial Disease Transmission Reaction-Diffusion Cardiac Dynamics Autonomous Agents Flocking Celluloid Penguins and Roosting Starlings Evaluating Crowd Simulations Complex Networks Human Networks: Growing Complex Networks Small World Networks of Spread of SARS Global Spread of Avian Influenza Complex Disease Transmission and Immunisation Complex Networks Constructed from Musical Composition Interaction of Grazing Herbivores Neuronal Networks and Complex Networks Conclusion Models Are a Reflection of Reality References A Summary appears at the end of each chapter.