Titlebook: Waves in Neural Media; From Single Neurons Paul C. Bressloff Book 2014 Springer Science+Business Media New York 2014 excitable media.mathe

GUEER

Traveling Waves in One-Dimensional Excitable Mediaopagation along an axon. Standard methods for analyzing front and pulse solutions of PDEs are described, including phase-plane analysis, singular perturbation methods and slow–fast analysis, and Evans functions for wave stability. In addition, the problem of wave propagation failure in myelinated ax

cajole

Calcium Waves and Sparksellular waves are considered in some detail: a reaction–diffusion model of calcium dynamics and the fire–diffuse–fire model of calcium release. The latter is formally very similar to the spike–diffuse–spike model of spiny dendrites and is analyzed accordingly. Stochastic models of spontaneous calciu

expound

fidelity

Calcium Waves and Sparksellular waves are considered in some detail: a reaction–diffusion model of calcium dynamics and the fire–diffuse–fire model of calcium release. The latter is formally very similar to the spike–diffuse–spike model of spiny dendrites and is analyzed accordingly. Stochastic models of spontaneous calciu

组成

招待

Waves in Synaptically Coupled Spiking Networksease in the number of computational studies of network dynamics, which are based on biophysically detailed conductance-based models of synaptically (and possibly electrically) coupled neurons. These models provide considerable insights into the role of ionic currents, synaptic processing, and networ

aerial

Population Models and Neural Fieldsue of how stochasticity at the single-cell level manifests itself at the population level is discussed, introducing topics such as balanced networks, Poisson statistics, and asynchronous states. Stochastic methods are then used to analyze bistability in a stochastic population model. Finally, the tr

Counteract

无意

Waves in Excitable Neural Fieldssingle neuron. It is shown how many of the PDE methods and results from the analysis of waves in reaction–diffusion equations considered in Chap. . can be extended to the nonlocal equations of neural field theory. First, the existence and stability of solitary traveling fronts and pulses in one-dime

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