Spikes, Decisions and Actions
Seiten
1999
Oxford University Press
978-0-19-852430-4 (ISBN)
Oxford University Press
978-0-19-852430-4 (ISBN)
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The nervous system of higher animals is both very complex and very non-linear. This book is an exploration of the mathematical principles by which brains generate neural spikes, make decisions, store memories, and control actions. It includes problem sets and simulations on disk and is a useful text for courses in neuronal modelling.
The nervous system of higher animals is both very complex and very nonlinear. Nervous systems are constantly making decisions between alternative actions, and switching gears among dynamical modes. There are several neural phenomena that can be modelled to great effect through the application of nonlinear dynamics, including: * ionic currents * action potentials * short-term memory * motor activity. This book is an exploration of the mathematical principles by which brains generate neural spikes, make decisions, store memories, and control actions. Assuming only a basic knowledge of mathematics, and including problem sets and simulations on disk, Spikes, Decisions, and Actions is an ideal text for courses in neuronal modelling in particular, and mathematical modelling in biology generally.
The nervous system of higher animals is both very complex and very nonlinear. Nervous systems are constantly making decisions between alternative actions, and switching gears among dynamical modes. There are several neural phenomena that can be modelled to great effect through the application of nonlinear dynamics, including: * ionic currents * action potentials * short-term memory * motor activity. This book is an exploration of the mathematical principles by which brains generate neural spikes, make decisions, store memories, and control actions. Assuming only a basic knowledge of mathematics, and including problem sets and simulations on disk, Spikes, Decisions, and Actions is an ideal text for courses in neuronal modelling in particular, and mathematical modelling in biology generally.
Preface; 1. Introduction; 2. First order linear differential equations; 3. Two-dimensional systems and state space; 4. Higher dimensional linear systems; 5. Approximation & Simulation; 6. Nonlinear dynamics & bifurcations; 7. Computation by excitatory & inhibitory networks; 8. Nonlinear oscillations; 9. Action potentials & limit cycles; 10. Neural adaptation & bursting; 11. Neural Chaos; 12. Synapses & synchrony; 13. Swimming & traveling waves; 14. Lyapunov functions & memory; 15. Diffusion & dendrites; 16. Nonlinear dynamics & brain function; Appendix; References
Erscheint lt. Verlag | 1.7.1999 |
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Zusatzinfo | numerous line illustrations |
Verlagsort | Oxford |
Sprache | englisch |
Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
Naturwissenschaften ► Biologie ► Humanbiologie | |
Naturwissenschaften ► Biologie ► Zoologie | |
ISBN-10 | 0-19-852430-7 / 0198524307 |
ISBN-13 | 978-0-19-852430-4 / 9780198524304 |
Zustand | Neuware |
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