Time optimal entrainment control for circadian rhythm

Autoři: A. Agung Julius aff001;  Jiawei Yin aff001;  John T. Wen aff001
Působiště autorů: Dept. Electrical, Computer, and Systems Engineering, Rensselaer Polytechnic Institute, Troy, NY, United States of America aff001;  Lighting Enabled Systems and Applications (LESA) Engineering Research Center, Rensselaer Polytechnic Institute, Troy, NY, United States of America aff002;  Dept. Industrial and Systems Engineering, Rensselaer Polytechnic Institute, Troy, NY, United States of America aff003
Vyšlo v časopise: PLoS ONE 14(12)
Kategorie: Research Article
doi: https://doi.org/10.1371/journal.pone.0225988


The circadian rhythm functions as a master clock that regulates many physiological processes in humans including sleep, metabolism, hormone secretion, and neurobehavioral processes. Disruption of the circadian rhythm is known to have negative impacts on health. Light is the strongest circadian stimulus that can be used to regulate the circadian phase. In this paper, we consider the mathematical problem of time-optimal circadian (re)entrainment, i.e., computing the lighting schedule to drive a misaligned circadian phase to a reference circadian phase as quickly as possible. We represent the dynamics of the circadian rhythm using the Jewett-Forger-Kronauer (JFK) model, which is a third-order nonlinear differential equation. The time-optimal circadian entrainment problem has been previously solved in settings that involve either a reduced-order JFK model or open-loop optimal solutions. In this paper, we present (1) a general solution for the time-optimal control problem of fastest entrainment that can be applied to the full order JFK model (2) an evaluation of the impacts of model reduction on the solutions of the time-optimal control problem, and (3) optimal feedback control laws for fastest entrainment for the full order Kronauer model and evaluate their robustness under some modeling errors.

Klíčová slova:

Algorithms – Body temperature – Circadian oscillators – Circadian rhythms – Graphs – Chronobiology – Nonlinear dynamics – Numerical integration


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2019 Číslo 12
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