Journal
JOURNAL OF MATHEMATICAL BIOLOGY
Volume 42, Issue 4, Pages 347-360Publisher
SPRINGER-VERLAG
DOI: 10.1007/s002850000075
Keywords
plant nutrient uptake; root system; mathematical model
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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 or root branching and growth. The results are compared with previous theoretical and experimental studies.
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