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