A mathematical model of plant nutrient uptake.
نویسندگان
چکیده
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.
منابع مشابه
Nutrient uptake of peanut genotypes under different water regimes
Drought is a serious environmental stress limiting growth and productivity in peanut and other crops. Nutrient uptake of peanut is reduced under drought condition, which reduces yield. The objectives of this study were to investigate nutrient uptake of peanut genotypes in response to drought and to estimate the relationship between nutrient uptake and peanut yield under different water regi...
متن کاملAllelopathy Effects of Trifolium alexandrium L. on Germination and Nutrient Uptake in Medicinal Plant Peganum harmala L.
The present study focused on effects of Trifolium alexandrium L. extract (0.002, 0.004 and control) which is a fast-growing plant on germination, growth and nutrients uptake of medicinal plant Peganum harmala L. Results revealed that T. alexandrium extract had significant (P
متن کاملA simple mathematical model for investigating the effect of cluster roots on plant nutrient uptake
Cluster roots are thought to play an important role in mediating nutrient uptake by plants. In this paper we develop a mathematical model for the transport and uptake of phosphate by a single root. Phosphate is assumed to diffuse in the soil fluid phase and can also solubilised due to citrate exudation. Using multiple scale homogenisation techniques we derive an effective model that accounts fo...
متن کاملEffects of the Timing of Foliar Application and Concentrations of Growth Regulators on the Mineral Content of Pistachio Leaves
Pistachio is one of the economically important horticultural crops in Iran. The main pistachio-producing areas in Iran are located at the edge of the desert and are affected by soil and water salinity. Water and nutrient uptake by the root decreases under saline conditions. In this study, the effects of foliar growth regulators applied at different times on the nutrient uptake and leaf nutrient...
متن کاملA mathematical model for water and nutrient uptake by plant root systems.
This article deals with modelling the simultaneous uptake of water and highly buffered nutrient, such as phosphate, by root branching structures from partially saturated soil. We use the simultaneous water and nutrient uptake model to investigate the effect that water movement has on nutrient uptake. With the aid of this model we are also able to show that the previous models by Barber and Tink...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Journal of mathematical biology
دوره 42 4 شماره
صفحات -
تاریخ انتشار 2001