Time optimal control of spiking neurons

DOI10.1007/s00285-011-0441-5zbMath1250.49002OpenAlexW2143899050WikidataQ46726959 ScholiaQ46726959MaRDI QIDQ455724

Ali Nabi, Jeff Moehlis

Publication date: 22 October 2012

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-011-0441-5

zbMATH Keywords

time-optimal controlphase modelsmathematical neuroscience

Mathematics Subject Classification ID

Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Control/observation systems governed by ordinary differential equations (93C15)

Related Items

Supervised learning algorithms for controlling underactuated dynamical systems ⋮ Minimum energy desynchronizing control for coupled neurons ⋮ A Reduced Order Modeling Framework for Strongly Perturbed Nonlinear Dynamical Systems Near Arbitrary Trajectory Sets ⋮ Switching neuronal state: optimal stimuli revealed using a stochastically-seeded gradient algorithm ⋮ Phase reduction and phase-based optimal control for biological systems: a tutorial ⋮ Optimal phase control of biological oscillators using augmented phase reduction ⋮ Optimizing stimulus waveforms for electroceuticals ⋮ Optimal entrainment with smooth, pulse, and square signals in weakly forced nonlinear oscillators ⋮ Design of Charge-Balanced Time-Optimal Stimuli for Spiking Neuron Oscillators ⋮ Fundamental limits of forced asynchronous spiking with integrate and fire dynamics

Uses Software

• XPPAUT

Cites Work

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