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Research Article Open access CC BY 3.0

A Mathematical Description of Pollutant Uptake in Plants by Single Cylindrical Root

Arun Kumar, Abdul Hafiz

Journal of Experimental Agriculture International · pp. 265–280 · Published 27 Aug 2011

10.9734/AJEA/2011/639

Abstract

 The classical model of plant root nutrient uptake given by Nye, Tinker and Barber is modified and extended for pollutant uptake in plants. An explicit closed mathematical description is given for the uptake, by a single cylindrical root for all cases of practical interest, by solving the absorption-diffusion equation for the soil pollutant concentration asymptotically in the limit of large time. This single root model can be used as a building block to construct a model for multiple root branching structure in a more realistic plant root system. The theoretical results derived analytically are compared with numerical results and experimental studies.

Pollutant uptake root system mathematical model

References (18)

  1. 1 Handbook of Mathematical Functions [DOI]
  2. 2 Mineral Nutrition of Higher Plants [DOI]
  3. 3 Soil Nutrient Bioavailability: A Mechanistic Approach
  4. 4 Solute Movement in the Soil-Root System [DOI]
  5. 5 - Numerical Solution of Partial Differential Equations [DOI]
  6. 6 Solute Movement in the Rhizosphere [DOI]
  7. 7 SimRoot: Modelling and visualization of root systems [DOI]
  8. 8 Ion Diffusion in the Soil–Root System [DOI]
  9. 9 Metal biomonitoring with mosses: Procedures for correcting for soil contamination [DOI]
  10. 10 Rates of water uptake into the mature root system of maize plants [DOI]
  11. 11 ATP-Dependent but Proton Gradient-Independent Polyphosphate-Synthesizing Activity in Extraradical Hyphae of an Arbuscular Mycorrhizal Fungus [DOI]
  12. 12 Phosphate Uptake by Corn as Affected by Soil Characteristics and Root Morphology [DOI]
  13. 13 Atmospheric pollution by persistent organic compoumds: Monitoring with pine needles [DOI]
  14. 14 Metal uptake in lichens
  15. 15 Dynamic model for the effects of K‐fertilizer on crop growth, K‐uptake and soil‐K in arable cropping. 1. Description of the model [DOI]
  16. 16 Two-dimensional model of water transport in the root zone and plant for container-grown chrysanthemum [DOI]
  17. 17 Mathematical models in the applied sciences [DOI]
  18. 18 Water Transport in an Unsaturated Medium to Roots with Differing Local Geometries [DOI]

Cited by 1

Approximate analytical solutions of root surface nutrient uptake flux and rhizosphere solute concentrations

Hui-ping Zhang, Shuyue Wang, Zhong-Hui Ou · 2018

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