Roose T, Fowler A C, Darrah P R
Mathematical Institute, University of Oxford, 24-29 St. Giles', Oxford OX1 3LB, UK.
J Math Biol. 2001 Apr;42(4):347-60. doi: 10.1007/s002850000075.
The classical model of plant root nutrient uptake due to Nye. Tinker and Barber is developed and extended. We provide an explicit closed formula for the uptake by a single cylindrical root for all cases of practical interest by solving the absorption-diffusion equation for the soil nutrient concentration asymptotically in the limit of large time. We then use this single root model as a building block to construct a model which allows for root size distribution in a more realistic plant root system, and we include the effects of root branching and growth. The results are compared with previous theoretical and experimental studies.
由奈伊、廷克和巴伯提出的植物根系养分吸收经典模型得到了发展和扩展。通过在长时间极限情况下渐近求解土壤养分浓度的吸收 - 扩散方程，我们为所有实际感兴趣的情况提供了单个圆柱形根系吸收的显式封闭公式。然后，我们将这个单根模型作为构建模块，构建一个能够考虑更现实植物根系中根大小分布的模型，并纳入根分支和生长的影响。将结果与先前的理论和实验研究进行了比较。
