Homogenization of long-range auxin transport in plant tissues

DOI10.1016/j.nonrwa.2008.12.003zbMath1204.35037OpenAlexW2083540160MaRDI QIDQ602889

Mariya Ptashnyk, Andrés Chavarría-Krauser

Publication date: 5 November 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.12.003

zbMATH Keywords

homogenizationnumerical simulationauxin transportformal asymptotic procedureplant tissuesreaction-diffusion-convection microscopic model

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (5)

Multiscale asymptotic analysis reveals how cell growth and subcellular compartments affect tissue-scale hormone transport ⋮ A multi-scale analysis of drug transport and response for a multi-phase tumour model ⋮ Multiscale modelling of auxin transport in the plant-root elongation zone ⋮ Numerical investigation of homogenized Stokes-Nernst-Planck-Poisson systems ⋮ Modelling with measures: approximation of a mass-emitting object by a point source

Cites Work

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• Elliptic partial differential equations of second order
• On polar auxin transport in plant cells
• Dispersion and Convection in Periodic Porous Media
• Averaging a transport equation with small diffusion and oscillating velocity
• Rigorous Upscaling of the Reactive Flow through a Pore, under Dominant Peclet and Damkohler Numbers

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