Formation of topographic maps and columnar microstructures in nerve fields

DOI10.1007/BF00337432zbMath0418.92001OpenAlexW2051460512WikidataQ52436827 ScholiaQ52436827MaRDI QIDQ1131970

Shun-ichi Amari, Akikazu Takeuchi

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1007/bf00337432

zbMATH Keywords

stabilitycomputer simulationsequilibrium solutionsneurophysiologycolumnar microstructuresfield equation of neural excitationssynaptic self-organizationtopographic connectionsvertebrate nervous systemsWillshaw-Malsburg model

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Stability theory for integral equations (45M10) Physiological, cellular and medical topics (92Cxx)

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Cites Work

• Unnamed Item
• Neural theory of association and concept-formation
• Dynamics of pattern formation in lateral-inhibition type neural fields
• Mathematical theory on formation of category detecting nerve cells
• Existence and stability of local excitations in homogeneous neural fields
• Some Averaging and Stability Results for Random Differential Equations

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