title: Derivation of a macroscopic model for nutrient uptake by a single branch of hairy-roots
creator: Ptashnyk, Mariya
subject: ddc-510
subject: 510 Mathematics
description: In this article the process of nutrient uptake by a single branch of a root is studied. We consider diffusion and active transport of nutrients dissolved in water. The uptake of nutrients happens on the surface of thin root hairs distributed periodically and orthogonal to the root surface. Water velocity is defined by the Stokes equations. Macroscopic model for nutrient uptake by a hairy root is derived. The macroscopic model consists of a reaction-diffusion equation in the domain with hairs, and diffusion-convection equation in the domain without hairs. The macroscopic water velocity is described by the Stokes system in the domain without hairs, with no-slip condition on the boundary between domains with hairs and of free fluid. 
date: 2007
type: Preprint
type: info:eu-repo/semantics/preprint
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/7458/1/MariyaPtashnyk_07.pdf
identifier: DOI:10.11588/heidok.00007458
identifier: urn:nbn:de:bsz:16-opus-74584
identifier:   Ptashnyk, Mariya  (2007) Derivation of a macroscopic model for nutrient uptake by a single branch of hairy-roots.  [Preprint]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/7458/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng