时差恢复：作为平均场博弈的昼夜振荡器同步
Jet Lag Recovery: Synchronization of Circadian Oscillators as a Mean Field Game
摘要：
视交叉上核（SCN）是大脑中负责控制昼夜节律的区域。SCN包含大约10^4个神经元振荡器，其优选周期略长于24小时。振荡器试图彼此同步，并对外部刺激（如阳光照射）做出反应。这些神经元振荡器的平均场对策模型制定有两个目标：1）了解振荡器的长期行为，当一个人留在同一时区，和2）了解振荡器如何从时差恢复时，个人已经跨越时区旅行。特别是，我们想研究一下向东旅行比向西旅行后时差反应更严重的说法。有限差分格式被用来找到平均场博弈解的数值逼近。给出了数值结果并提出了相应的解决方案。数值表明，从时差中恢复过来的时间对于东向旅行和西向旅行来说是一样的，但是振荡器在恢复过程中产生的成本对于东向旅行来说更大。
英文摘要：
The Suprachiasmatic Nucleus (SCN) is a region in the brain that is responsible for controlling circadian rhythms. The SCN contains on the order of 10^4 neuronal oscillators which have a preferred period slightly longer than 24 hours. The oscillators try to synchronize with each other as well as responding to external stimuli such as sunlight exposure. A mean field game model for these neuronal oscillators is formulated with two goals in mind: 1) to understand the long time behavior of the oscillators when an individual remains in the same time zone, and 2) to understand how the oscillators recover from jet lag when the individual has traveled across time zones. In particular, we would like to study the claim that jet lag is worse after traveling east than west. Finite difference schemes are used to find numerical approximations to the mean field game solutions. Numerical results are presented and conjectures are posed. The numerics suggest the time to recover from jet lag is about the same for east versus west trips, but the cost the oscillators accrue while recovering is larger for eastward trips.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
