Ludwig-Maximilians-Universität München, Faculty of Biology, Plant Development, 82152, Planegg-Martinsried, Germany.
Ludwig-Maximilians-Universität München, Faculty of Biology, Plant Evolutionary Cell Biology, 82152, Planegg-Martinsried, Germany.
Commun Biol. 2022 Feb 24;5(1):164. doi: 10.1038/s42003-022-03100-w.
Quantification of system dynamics is a central aim of mathematical modelling in biology. Defining experimentally supported functional relationships between molecular entities by mathematical terms enables the application of computational routines to simulate and analyse the underlying molecular system. In many fields of natural sciences and engineering, trigonometric functions are applied to describe oscillatory processes. As biochemical oscillations occur in many aspects of biochemistry and biophysics, Fourier analysis of metabolic functions promises to quantify, describe and analyse metabolism and its reaction towards environmental fluctuations. Here, Fourier polynomials were developed from experimental time-series data and combined with block diagram simulation of plant metabolism to study heat shock response of photosynthetic CO assimilation and carbohydrate metabolism in Arabidopsis thaliana. Simulations predicted a stabilising effect of reduced sucrose biosynthesis capacity and increased capacity of starch biosynthesis on carbon assimilation under transient heat stress. Model predictions were experimentally validated by quantifying plant growth under such stress conditions. In conclusion, this suggests that Fourier polynomials represent a predictive mathematical approach to study dynamic plant-environment interactions.
量化系统动态是生物学数学建模的核心目标。通过数学术语来定义分子实体之间经过实验支持的功能关系，使得可以应用计算程序来模拟和分析潜在的分子系统。在自然科学和工程学的许多领域中，三角函数被用于描述振荡过程。由于生物化学中的许多方面都存在生化振荡，因此对代谢功能进行傅里叶分析有望对代谢及其对环境波动的反应进行量化、描述和分析。在这里，从实验时间序列数据中开发了傅里叶多项式，并与植物代谢的方框图模拟相结合，以研究拟南芥光合作用 CO 同化和碳水化合物代谢对热休克的响应。模拟预测在瞬态热应激下，减少蔗糖生物合成能力和增加淀粉生物合成能力对碳同化具有稳定作用。通过在这种胁迫条件下定量植物生长来验证模型预测。总之，这表明傅里叶多项式代表了一种预测性的数学方法，可以用来研究动态的植物-环境相互作用。
