Evolution of the Wilson-Cowan equations

DOI10.1007/s00422-021-00912-7zbMath1480.92020OpenAlexW3213775419MaRDI QIDQ2069008

Jack D. Cowan, Hugh R. Wilson

Publication date: 20 January 2022

Published in: Biological Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00422-021-00912-7

zbMATH Keywords

epilepsyWilson-Cowan equationslong-term memoryvisual hallucinationsbinocular rivalryneural network dynamics

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Memory and learning in psychology (91E40) Psychophysics and psychophysiology; perception (91E30)

Related Items (3)

On the convergence analysis of efficient numerical schemes for singularly perturbed second order Volterra integro-differential equations ⋮ Exact mean-field models for spiking neural networks with adaptation ⋮ Beyond Wilson-Cowan dynamics: oscillations and chaos without inhibition

Cites Work

• Modeling focal epileptic activity in the Wilson-cowan model with depolarization block
• A mathematical theory of visual hallucination patterns
• A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue
• Neural networks and physical systems with emergent collective computational abilities.
• Learning representations by back-propagating errors
• Neurons with graded response have collective computational properties like those of two-state neurons.
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