Integro-differential equations and the stability of neural networks with dendritic structure

DOI10.1007/BF00201430zbMath0827.92005MaRDI QIDQ1899188

Paul C. Bressloff

Publication date: 9 November 1995

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

zbMATH Keywords

recurrent neural networkpattern formationcompartment modelcable equationsdendritic structurecoupled, nonlinear Volterra integro-differential equationssomatic membrane potentialsspatial distribution of axo-dendritic connectionsTuring-like instability

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Developmental biology, pattern formation (92C15)

Cites Work

• The path integral for dendritic trees
• Dynamics of pattern formation in lateral-inhibition type neural fields
• Compartmental-model response function for dendritic trees
• Large Scale Spatially Organized Activity in Neural Nets
• Introduction to Theoretical Neurobiology
• Information Processing in Dendritic Trees
• Volterra integral and differential equations
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