Jet Lag Recovery: Synchronization of Circadian Oscillators as a Mean Field Game

Jet Lag Recovery: Synchronization of Circadian Oscillators as a Mean Field Game
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时差恢复:昼夜节律振荡器的同步作为平均场游戏

DOI:
10.1007/s1323-5-019-00315-1
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发表时间:
2019
影响因子:
1.5
通讯作者:
Graves, Christy V.
Graves, Christy V.
中科院分区:
数学4区
文献类型:
--
作者:
Carmona, Rene;Graves, Christy V.

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提出了一种平均场博弈的同步面临冲突的目标的振荡器。我们的动机是提供一个替代最近尝试使用动力系统来说明一些特质的时差恢复。我们的分析是由两个目标驱动的:(1)当一个人保持在同一时区时,了解振荡器的长时间行为;(2)当一个人跨越时区旅行时,量化时差恢复的成本。有限差分格式被用来找到数值近似的平均场游戏的解决方案。他们的基准对明确的解决方案,一个特殊的情况下。数值结果和公式化。数值表明,振荡器在恢复过程中产生的成本对于向东旅行来说更大,这与广泛接受的观点一致,即向东旅行比向西旅行后时差更严重。
A mean field game is proposed for the synchronization of oscillators facing conflicting objectives. Our motivation is to offer an alternative to recent attempts to use dynamical systems to illustrate some of the idiosyncrasies of jet lag recovery. Our analysis is driven by two goals: (1) to understand the long time behavior of the oscillators when an individual remains in the same time zone, and (2) to quantify the costs from jet lag recovery when the individual has traveled across time zones. Finite difference schemes are used to find numerical approximations to the mean field game solutions. They are benchmarked against explicit solutions derived for a special case. Numerical results are presented and conjectures are formulated. The numerics suggest that the cost the oscillators accrue while recovering is larger for eastward travel which is consistent with the widely admitted wisdom thatjet lag is worse after traveling east than west.
求解线性化离散平均场博弈系统的迭代策略
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