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.
Rezensionen / Stimmen
The book is a valuable source of information at the level accessible to well-trained undergraduate students and can be successfully used by specialists interested in mathematical modelling in neuroscience. Zentralblatt MATH
Sprache
Verlagsort
Zielgruppe
Illustrationen
num. line ill.
numerous line illustrations
Maße
Höhe: 240 mm
Breite: 168 mm
ISBN-13
978-0-19-852430-4 (9780198524304)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
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
