Phase reduction and phase-based optimal control for biological systems: a tutorial.

Abstract:

:A powerful technique for the analysis of nonlinear oscillators is the rigorous reduction to phase models, with a single variable describing the phase of the oscillation with respect to some reference state. An analog to phase reduction has recently been proposed for systems with a stable fixed point, and phase reduction for periodic orbits has recently been extended to take into account transverse directions and higher-order terms. This tutorial gives a unified treatment of such phase reduction techniques and illustrates their use through mathematical and biological examples. It also covers the use of phase reduction for designing control algorithms which optimally change properties of the system, such as the phase of the oscillation. The control techniques are illustrated for example neural and cardiac systems.

journal_name

Biol Cybern

journal_title

Biological cybernetics

authors

Monga B,Wilson D,Matchen T,Moehlis J

doi

10.1007/s00422-018-0780-z

subject

Has Abstract

pub_date

2019-04-01 00:00:00

pages

11-46

issue

1-2

eissn

0340-1200

issn

1432-0770

pii

10.1007/s00422-018-0780-z

journal_volume

113

pub_type

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