The biological interactions underpinning the Arabidopsis circadian clock have been systematically uncovered and explored by biological experiments and mathematical models. This is captured by a series of published ordinary differential equation (ODE) models, which describe plant clock dynamics in response to light/dark conditions. However, understanding the role of temperature in resetting the clock (entrainment) and the mechanisms by which circadian rhythms maintain a near-24 h period over a range of temperatures (temperature compensation) is still unclear. Understanding entrainment and temperature compensation may elucidate the principles governing the structure of the circadian clock network. Here we explore the design principles of the Arabidopsis clock and its responses to changes in temperature. We analyse published clock models of Arabidopsis, spanning a range of complexity, and incorporate temperature-dependent dynamics into the parameters of translation rates in these models, to discern which regulatory patterns may best explain clock function and temperature compensation. We additionally construct three minimal clock models and explore what key features govern their rhythmicity and temperature robustness via a series of random parameterisations. Results show that the highly repressive interactions between the components of the plant clock, together with autoregulation patterns and three-node feedback loops, are associated with circadian function of the clock in general, and enhance its robustness to temperature variation in particular. However, because the networks governing clock function vary with time due to light and temperature conditions, we emphasise the importance of studying plant clock functionality in its entirety rather than as a set of discrete regulation patterns.

生物学实验和数学模型已系统地揭示和探索了拟南芥生物钟的生物相互作用。这是由一系列已发布的常微分方程（ODE）模型捕获的，该模型描述了响应于明/暗条件的工厂时钟动态。然而，尚不清楚温度在重置时钟（夹带）中的作用以及昼夜节律在一定温度范围内维持近24小时周期的机制（温度补偿）尚不清楚。了解夹带和温度补偿可以阐明控制生物钟网络结构的原理。在这里，我们探讨拟南芥的设计原理时钟及其对温度变化的响应。我们分析拟南芥的已发表时钟模型，涵盖了一系列复杂性，并将温度相关的动力学纳入这些模型的转换速率参数中，以识别哪种调节模式可以最好地解释时钟功能和温度补偿。我们另外构造了三个最小时钟模型，并通过一系列随机参数设置探索了哪些关键特征控制着它们的节奏和温度稳定性。结果表明，植物时钟各组成部分之间的高度抑制性相互作用，以及自动调节模式和三节点反馈回路，通常与时钟的昼夜节律功能相关，并且尤其增强了其对温度变化的鲁棒性。但是，由于控制时钟功能的网络会因光线和温度条件而随时间变化，