Exploring optimal current stimuli that provide membrane voltage tracking in a neuron model

DOI10.1007/s00422-011-0427-9zbMath1232.92034OpenAlexW2088253053WikidataQ50685664 ScholiaQ50685664MaRDI QIDQ663915

Juan-Miguel Gracia

Publication date: 27 February 2012

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

Full work available at URL: https://doi.org/10.1007/s00422-011-0427-9

zbMATH Keywords

optimal controlneuron dynamicsreduced Hodgkin-Huxley model

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Applications of optimal control and differential games (49N90) Neural biology (92C20) Biophysics (92C05)

Related Items

A new approach to optimal control of conductance-based spiking neurons, Minimum energy control for a two-compartment neuron to extracellular electric fields

Uses Software

• Matlab
• bvp4c

Cites Work

• Unnamed Item
• Event-based minimum-time control of oscillatory neuron models
• Charge-balanced spike timing control for phase models of spiking neurons
• On non-linear dynamics and an optimal control synthesis of the action potential of membranes (ideal and non-ideal cases) of the Hodgkin-Huxley (HH) mathematical model
• Phase resetting in medicine and biology. Stochastic modelling and data analysis