A mathematical model of plant nutrient uptake

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• 作者：T. Roose ; A.C. Fowler and P.R. Darrah
• 关键词：Key words or phrases ; Plant nutrient uptake – ; Root system – ; Mathematical model
• 刊名：Journal of Mathematical Biology
• 出版年：2001
• 出版时间：April 2001
• 年：2001
• 卷：42
• 期：4
• 页码：347-360
• 全文大小：252 KB

文摘

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.