title: An energy-optimal approach for entrainment of uncertain circadian oscillators.
abstract: We develop an approach to find an energy-optimal stimulus that entrains an ensemble of uncertain, uncoupled limit cycle oscillators. Furthermore, when entrainment occurs, the phase shift between oscillators is constrained to be less than a predetermined amount. This approach is illustrated for a model of Drosophila circadian activity, for which it performs better than a standard 24-h light-dark cycle. Because this method explicitly accounts for uncertainty in a given system and only requires information that is experimentally obtainable, it is well suited for experimental implementation and could ultimately represent what is believed to be a novel treatment for patients suffering from advanced/delayed sleep-phase syndrome.
authors.affiliation: Department of Mechanical Engineering, University of California, Santa Barbara, California. Electronic address: dan.d.wilson8@gmail.com.
authors.forename: Dan
authors.initials: D
authors.lastname: Wilson
authors.affiliation: Department of Mechanical Engineering, University of California, Santa Barbara, California.
authors.forename: Jeff
authors.initials: J
authors.lastname: Moehlis
mesh_terms: D000818:Animals; D002940:Circadian Rhythm; D004331:Drosophila melanogaster / Q000502:physiology; D008954:Models, Biological; D013816:Thermodynamics; D035501:Uncertainty