Plant and Soil

, Volume 77, Issue 2–3, pp 215–231 | Cite as

Mathematical models on diffusion of oxygen to and within plant roots, with special emphasis on effects of soil-root contact

I. Derivation of the models
  • P. De Willigen
  • M. Van Noordwijk
Article

Summary

A mathematical model is presented for diffusive transport of oxygen inside the root, for the case that oxygen can enter only through part of the root's perimeter because the remainder is blocked by soil-root contact. Without soil-root contact, concentration profiles inside the root can be shown to converge rapidly to a steady-state solution. For the case of soil-root contact a steady-state solution is presented. Steady-state solutions have also been obtained for the presence of a water film, with and without rhizosphere respiration inside the water film. Results are presented in the form of isoconcentration lines.

Key words

Conformal mapping Diffusion Oxygen Soil-root contact 

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Copyright information

© Martinus Nijhoff/Dr W. Junk Publishers 1984

Authors and Affiliations

  • P. De Willigen
    • 1
  • M. Van Noordwijk
    • 1
  1. 1.Institute for Soil FertilityHaren (Gr.)The Netherlands

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