A solvable model of entrainment ranges for the circadian rhythm under light/dark cycles
A solvable model of entrainment ranges for the circadian rhythm under light/dark cycles
复制标题
光/暗循环下昼夜节律的夹带范围的可解模型
DOI：
10.1101/683615
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Oyama Tokitaka
中科院分区：
文献类型：
--
作者：
Takakura Ren;Ichikawa Masatoshi;Oyama Tokitaka
分析研究了生物钟响应光/暗周期的连续模型。昼夜节律受一定范围的时间段（包括 24 小时时间段）内的光/暗周期的影响。不同生物体的夹带范围各不相同；植物的活动范围比哺乳动物大得多。为了分析夹带方式，我们采用了一个简化模型，其中昼夜节律的角速度由昼夜节律和参考相位之间的相位差的正弦函数调制。该模型仅包含一个称为夹带强度 (K) 的参数。对于亮态和暗态，我们设置两个参考相位。使用该模型，我们描述了非 24 小时光/暗循环下昼夜节律的夹带方式。分析计算了夹带的K值条件并绘制了显示夹带/非夹带边界的相图。在图中我们发现了一个出现无序轨道的区域。然后，导出了夹带和振荡的无序不规则运动的临界值。接近临界值的模拟结果与植物昼夜节律夹带方式的实验结果相当，表明植物自振荡和强烈的光/暗响应是相容的。该图清楚地概括了昼夜节律的夹带强度和夹带方式之间的关系，使我们能够统一比较环境中周期性刺激的强度以及各种昼夜节律之间对刺激的响应程度。
A continuous model for entrainment of the circadian clock responding to light/dark cycles is analytically studied. The circadian rhythm is entrained to light/dark cycles in a certain range of periods including the 24 hour period. Entrainment ranges vary among organisms; plants show much larger ranges than mammals. To analyze entrainment manners, we exploit a simplified model in which the angular velocity of the circadian rhythm is modulated by a sinusoidal function of phase difference between the circadian rhythm and reference phases. This model contains only one parameter called entrainment strength (K). For light and dark states, we set two reference phases. Using this model, we characterized the entrainment manners of circadian rhythms under non-24 hour light/dark cycles. The conditions of theKvalue for the entrainment were analytically calculated and a phase diagram showing entrainment/non-entrainment boundaries was drawn. In the diagram we found a region where disordered orbitals emerge. Then, critical values for the entrainment and the disordered irregular motion of the oscillation were derived. Simulation results near a critical value were comparable with the experimental results of the entrainment manners of plant circadian rhythms, suggesting the compatibility of self-oscillation and a strong light/dark response in plants. The diagram clearly represents an overview of the relationship between entrainment strengths and entrainment manners of circadian rhythms in general, and enables us to uniformly compare strengths of periodic stimuli in the environment and degrees of responsiveness for the stimuli among various circadian rhythms.
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影响因子：
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作者：
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通讯作者：
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影响因子：
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DOI：
--
发表时间：
2002
影响因子：
11.1
作者：
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通讯作者：
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