Time-optimal control for circadian entrainment for a model with circadian and sleep dynamics

作者: Agung Julius , Jiawei Yin , John T. Wen

DOI: 10.1109/CDC.2017.8264355

关键词:

摘要: In this paper, we study an optimal control problem for circadian rhythm regulation. The objective of the is to find a lighting schedule that minimizes time required subject's synchronize with reference rhythm. We previously solved bang-off algorithm. However, existing solution neglects sleep dynamics and often results in unreasonably uncomfortable (with excessive sleepiness). use hybrid system model contains both dynamics. Using variational analysis, show time-optimal still algorithm, but from class algorithms richer than one reported.

参考文章(20)
Peter Achermann, Alexander A. Borbély, Simulation of daytime vigilance by the additive interaction of a homeostatic and a circadian process Biological Cybernetics. ,vol. 71, pp. 115- 121 ,(1994) , 10.1007/BF00197314
Jiaxiang Zhang, John T. Wen, Agung Julius, Optimal circadian rhythm control with light input for rapid entrainment and improved vigilance conference on decision and control. pp. 3007- 3012 ,(2012) , 10.1109/CDC.2012.6426226
Daniel B. Forger, Richard E. Kronauer, RECONCILING MATHEMATICAL MODELS OF BIOLOGICAL CLOCKS BY AVERAGING ON APPROXIMATE MANIFOLDS Siam Journal on Applied Mathematics. ,vol. 62, pp. 1281- 1296 ,(2002) , 10.1137/S0036139900373587
Neda Bagheri, Jörg Stelling, Francis J. Doyle, Circadian Phase Resetting via Single and Multiple Control Targets PLoS Computational Biology. ,vol. 4, pp. e1000104- ,(2008) , 10.1371/JOURNAL.PCBI.1000104
J.-C. Leloup, A. Goldbeter, Toward a detailed computational model for the mammalian circadian clock. Proceedings of the National Academy of Sciences of the United States of America. ,vol. 100, pp. 7051- 7056 ,(2003) , 10.1073/PNAS.1132112100
M. Shahid Shaikh, Peter E. Caines, On the Hybrid Optimal Control Problem: Theory and Algorithms IEEE Transactions on Automatic Control. ,vol. 52, pp. 1587- 1603 ,(2007) , 10.1109/TAC.2007.904451
R.E. Kronauer, D.B. Forger, M.E. Jewett, Quantifying human circadian pacemaker response to brief, extended, and repeated light stimuli over the phototopic range. Journal of Biological Rhythms. ,vol. 14, pp. 500- 515 ,(1999) , 10.1177/074873099129001073
Kirill Serkh, Daniel B. Forger, Optimal schedules of light exposure for rapidly correcting circadian misalignment. PLOS Computational Biology. ,vol. 10, ,(2014) , 10.1371/JOURNAL.PCBI.1003523
Jiaxiang Zhang, John T. Wen, Agung Julius, Optimal and feedback control for light-based circadian entrainment conference on decision and control. pp. 2677- 2682 ,(2013) , 10.1109/CDC.2013.6760287