Fundamental limits of forced asynchronous spiking with integrate and fire dynamics

DOI10.1186/s13408-017-0053-5zbMath1397.92118OpenAlexW2761975238WikidataQ42651136 ScholiaQ42651136MaRDI QIDQ723682

Jason T. Ritt, Anirban Nandi, Heinz Schättler, Shinung Ching

Publication date: 24 July 2018

Published in: The Journal of Mathematical Neuroscience (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13408-017-0053-5

zbMATH Keywords

time optimal controlintegrate-and-fire neuronselective spikingspike pattern

Mathematics Subject Classification ID

Neural biology (92C20) Existence theories for optimal control problems involving ordinary differential equations (49J15) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15)

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Cites Work

• Unnamed Item
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• Minimum energy desynchronizing control for coupled neurons
• Geometric optimal control. Theory, methods and examples
• Time optimal control of spiking neurons
• Local fields of extremals for optimal control problems with state constraints of relative degree 1
• A Hamilton-Jacobi-Bellman approach for termination of seizure-like bursting
• Control Analysis and Design for Statistical Models of Spiking Networks
• Spiking Neuron Models
• Control and Synchronization of Neuron Ensembles
• Sufficient Conditions for Optimality and the Justification of the Dynamic Programming Method
• The geometry of biological time.

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