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Mathematical Modeling of the Dynamics of Shoot-Root Interactions and Resource Partitioning in Plant Growth

机译:植物生长中枝根相互作用和资源分配动力学的数学模型

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摘要

Plants are highly plastic in their potential to adapt to changing environmental conditions. For example, they can selectively promote the relative growth of the root and the shoot in response to limiting supply of mineral nutrients and light, respectively, a phenomenon that is referred to as balanced growth or functional equilibrium. To gain insight into the regulatory network that controls this phenomenon, we took a systems biology approach that combines experimental work with mathematical modeling. We developed a mathematical model representing the activities of the root (nutrient and water uptake) and the shoot (photosynthesis), and their interactions through the exchange of the substrates sugar and phosphate (Pi). The model has been calibrated and validated with two independent experimental data sets obtained with Petunia hybrida. It involves a realistic environment with a day-and-night cycle, which necessitated the introduction of a transitory carbohydrate storage pool and an endogenous clock for coordination of metabolism with the environment. Our main goal was to grasp the dynamic adaptation of shoot:root ratio as a result of changes in light and Pi supply. The results of our study are in agreement with balanced growth hypothesis, suggesting that plants maintain a functional equilibrium between shoot and root activity based on differential growth of these two compartments. Furthermore, our results indicate that resource partitioning can be understood as the emergent property of many local physiological processes in the shoot and the root without explicit partitioning functions. Based on its encouraging predictive power, the model will be further developed as a tool to analyze resource partitioning in shoot and root crops.
机译:植物具有很高的可塑性,可以适应不断变化的环境条件。例如,它们分别响应于限制矿物质营养和光的供应,可以选择性地促进根和枝条的相对生长,这种现象被称为平衡生长或功能平衡。为了深入了解控制这种现象的监管网络,我们采用了系统生物学方法,将实验工作与数学建模相结合。我们建立了一个数学模型,表示根的活动(营养和水分吸收)和枝条的活动(光合作用),以及它们通过交换底物糖和磷酸盐(Pi)的相互作用。该模型已通过使用矮牵牛花获得的两个独立的实验数据集进行了校准和验证。它涉及一个昼夜循环的现实环境,因此需要引入一个暂时性的碳水化合物存储池和一个内源性时钟来协调新陈代谢与环境。我们的主要目标是掌握由于光和磷供应的变化而引起的枝:根比的动态适应。我们的研究结果与平衡生长假说相符,表明植物基于这两个区室的不同生长而在芽和根活动之间保持功能平衡。此外,我们的结果表明,资源分配可以理解为枝条和根部许多局部生理过程的出现特性,而没有明确的分配功能。基于其令人鼓舞的预测能力,该模型将进一步开发为分析枝条和块根作物资源分配的工具。

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