Event-based minimum-time control of oscillatory neuron models

DOI10.1007/s00422-009-0344-3zbMath1345.92037OpenAlexW2126497150WikidataQ46438543 ScholiaQ46438543MaRDI QIDQ309496

Per Danzl, Jeff Moehlis, João P. Hespanha

Publication date: 7 September 2016

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

Full work available at URL: https://doi.org/10.1007/s00422-009-0344-3

zbMATH Keywords

phaseoptimal controlrandomizationisochronsHodgkin-Huxley modelsoscillatory neurons

Mathematics Subject Classification ID

Feedback control (93B52) Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20)

Related Items

Phase model-based neuron stabilization into arbitrary clusters ⋮ A new approach to optimal control of conductance-based spiking neurons ⋮ Minimum energy desynchronizing control for coupled neurons ⋮ On a test statistic for the Kuramoto order parameter of synchronization: an illustration for group synchronization during rocking chairs ⋮ Ergodic Theory, Dynamic Mode Decomposition, and Computation of Spectral Properties of the Koopman Operator ⋮ Minimum energy control for a two-compartment neuron to extracellular electric fields ⋮ Time optimal control of spiking neurons ⋮ Locally optimal extracellular stimulation for chaotic desynchronization of neural populations ⋮ Exploring optimal current stimuli that provide membrane voltage tracking in a neuron model ⋮ Phase reduction and phase-based optimal control for biological systems: a tutorial ⋮ A Fast Eulerian Approach for Computation of Global Isochrons in High Dimensions ⋮ Optimal Chaotic Desynchronization for Neural Populations

Uses Software

• ToolboxLS

Cites Work

• The flexible, extensible and efficient toolbox of level set methods
• Isochrons and phaseless sets
• Mathematical physiology
• Phase resetting in medicine and biology. Stochastic modelling and data analysis
• Canards for a reduction of the Hodgkin-Huxley equations
• Control of neuronal synchrony by nonlinear delayed feedback
• A Level Set Formulation for the Solution of the Dirichlet Problem for Hamilton–Jacobi Equations
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
• The geometry of biological time.