Brain Dynamics is an introduction for graduate students and nonspecialists from various backgrounds to the field of mathematical and computational neurosciences. The approach in this book is through pulsed-coupled neural networks, with at their core the lighthouse and integrate-and-fire models, which allow forthe highly flexible modelling of realistic synaptic activity, synchronizationand spatio-temporal pattern formation. As a more advanced topic, pulse-averaged equations and their application to movement coordination are discussed. Thebook closes with a short analysis of models versus the real neurophysiological system. The second edition has been thoroughly updated and augmented by an extensive chapter that discusses the interplay between pattern recognition and synchronization. Further, to enhance the usefulness as textbook and for self-study, the detailed solutions of all XX exercises throughout the text have beenadded. INDICE: From the contents Basic Experimental Facts and Theoretical Tools.-Introduction.- The Neuron-Building Block of the Brain.- Neuronal Cooperativity.- Spikes, Phases, Noise: How to Describe them Mathematically? We Learn a FewTricks and Some Important Concepts.- Spiking in Neural Nets.- The Lighthouse Model. Two Coupled Neurons.- The Lighthouse Model. Many Coupled Neurons.- Integrate and Fire Models (IFM).- Many Neurons, General Case, Connection with Integrate and Fire Model.- Phase Locking, Coordination and Spatio-Temporal Patterns.- Phase Locking via Sinusoidal Couplings.- Pulse-Averaged Equations.- Conclusion.- The Single Neuron.- Conclusion and Outlook.- References.
- ISBN: 978-3-540-75236-3
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 320
- Fecha Publicación: 01/01/2008
- Nº Volúmenes: 1
- Idioma: Inglés