Homogenization of long-range auxin transport in plant tissues

Andrés Chavarría-Krauser*, Mariya Ptashnyk

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


A model for the cell-to-cell transport of the plant hormone auxin is presented. Auxin is a weak acid which dissociates into ions in the aqueous cell compartments. A microscopic model is defined by diffusion-reaction equations and a Poisson equation for a given charge distribution. The microscopic properties of the plant cell were taken into account through oscillating coefficients in the model. Via formal asymptotic expansion a macroscopic model was obtained. The effective diffusion coefficients and transport velocities are expressed by the solution of unit cell problems. Published experimental values of diffusivity and permeability were used to determine numerically the effective transport coefficients and the calculated transport velocity was shown to be of the same order as measured values.

Original languageEnglish
Pages (from-to)4524-4532
Number of pages9
JournalNonlinear Analysis: Real World Applications
Issue number6
Publication statusPublished - Dec 2010


  • Auxin
  • Diffusion-reaction equation
  • Homogenization
  • Ion transport
  • Plant tissues

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Computational Mathematics
  • General Engineering
  • General Medicine
  • Economics, Econometrics and Finance(all)


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