Neuroscience : a mathematical primer / Alwyn Scott.

Includes bibliographical references and index.

Cover -- Preface -- Acknowledgments -- Table of Contents -- List of Figures -- 1. A Short History of Neuroscience -- 2. Structure of a Neuron -- 3. Nerve Membranes -- 4. The Hodgkin-Huxley (H-H) Axon -- 5. Leading-Edge Models -- 6. Recovery Models -- 7. Myelinated Nerves -- 8. Ephaptic Interactions Among Axons -- 9. Neural Modeling -- 10. Constructive Brain Theories -- 11. Neuronal Assemblies -- 12. The Hierarchical Nature of Brain Dynamics -- Appendix A -- Conservation Laws and Conservative Systems -- Appendix B -- Hodgkin-Huxley Dynamics -- Appendix C -- Fredholm's Theorem -- Appendix D -- Stability of Axonal Impulses -- Appendix E -- Perturbation Theory for the F-N Impulse -- Appendix F -- Perturbation Analyses of Ephaptic Interactions.

"Arguably the most intricate dynamic object in the universe, the human brain is an unsounded source of wonder for the scientific community. The primary aim of this book is to provide both students and established investigators in the growing area of neuroscience with an appreciation of the roles that mathematics may play in helping to understand this enigmatic organ. Along with discussions of results obtained by the neuroscience community, emphasis is placed on suggesting fruitful research problems for those planning to embark on mathematical studies in neuroscience.

To make the overall perspectives understandable to philosophers and psychologists, essential features of the discussions are presented in ordinary English, with more detailed mathematical comments in appendices and footnotes. Although it attempts to maintain both clarity and biological relevance, this is not a text on the anatomy of nerve systems; thus readers should bring some knowledge of neurophysiology through other courses, associated studies, or laboratory research."--Page [vii]

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