A mathematical model of plant nutrient uptake
- Cite this article as:
- Roose, T., Fowler, A. & Darrah, P. J Math Biol (2001) 42: 347. doi:10.1007/s002850000075
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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.