Department of Environmental Engineering, Technical University of Denmark, Lyngby, Denmark.
SAR QSAR Environ Res. 2011 Mar;22(1-2):191-215. doi: 10.1080/1062936X.2010.548829.
Models for the prediction of chemical uptake into plants are widely applied tools for human and wildlife exposure assessment, pesticide design and for environmental biotechnology such as phytoremediation. Steady-state considerations are often applied, because they are simple and have a small data need. However, often the emission pattern is non-steady. Examples are pesticide spraying, or the application of manure and sewage sludge on agricultural fields. In these scenarios, steady-state solutions are not valid, and dynamic simulation is required. We compared different approaches for dynamic modelling of plant uptake in order to identify relevant processes and timescales of processes in the soil-plant-air system. Based on the outcome, a new model concept for plant uptake models was developed, approximating logistic growth and coupling transpiration to growing plant mass. The underlying system of differential equations was solved analytically for the inhomogenous case, i.e. for constant input. By superposition of the results of n periods, changes in emission and input data between periods are considered. This combination allows to mimic most input functions that are relevant in practice. The model was set up, parameterized and tested for uptake into growing crops. The outcome was compared with a numerical solution, to verify the mathematical structure.
用于预测化学物质在植物体内吸收的模型是广泛应用于人类和野生动物暴露评估、农药设计以及环境生物技术（如植物修复）的工具。稳态考虑通常被应用，因为它们简单且数据需求小。然而，排放模式通常是非稳态的。例如，喷洒农药，或在农业用地上施用粪肥和污水污泥。在这些情况下，稳态解无效，需要进行动态模拟。为了确定土壤-植物-空气系统中相关的过程和过程时间尺度，我们比较了植物吸收的动态建模的不同方法。基于结果，开发了一种新的植物吸收模型模型概念，该概念近似于逻辑增长并将蒸腾作用与生长中的植物质量耦合。非齐次情况下（即输入恒定），对基础微分方程系统进行了分析求解。通过 n 个周期的结果叠加，考虑了周期之间排放和输入数据的变化。这种组合允许模拟在实践中最相关的大多数输入函数。该模型已针对生长作物的吸收进行了设置、参数化和测试。结果与数值解进行了比较，以验证数学结构。
