Traveling Waves of Excitation in Neural Field Models: Equivalence of Rate Descriptions and Integrate-and-Fire Dynamics

DOI10.1162/08997660260028656zbMath0999.92006DBLPjournals/neco/CremersH02OpenAlexW2014487626WikidataQ47885535 ScholiaQ47885535MaRDI QIDQ3150011

Daniel Cremers, Andreas V. M. Herz

Publication date: 24 November 2002

Published in: Neural Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1162/08997660260028656

zbMATH Keywords

wave frontsmean-firing rate

Mathematics Subject Classification ID

Neural biology (92C20) PDEs in connection with biology, chemistry and other natural sciences (35Q92)

Related Items (4)

A review of the integrate-and-fire neuron model: II. Inhomogeneous synaptic input and network properties ⋮ Waves, bumps, and patterns in neural field theories ⋮ Existence and global attractivity of almost periodic solutions for neural field with time delay ⋮ Boundedness and Stability for Integrodifferential Equations Modeling Neural Field with Time Delay

Cites Work

• Dynamics of pattern formation in lateral-inhibition type neural fields
• A mathematical theory of visual hallucination patterns
• The analysis of synaptically generated traveling waves
• Modeling collective excitations in cortical tissue
• Traveling waves and pulses in a one-dimensional network of excitable integrate-and-fire neurons
• A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue
• Informationsverarbeitung in homogenen Netzen von Neuronenmodellen

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