Approximate nutrient flux and concentration solutions of the Nye-Tinker-Barber model by the perturbation expansion method.

Convection-diffusion equation Michaelis–Menten kinetics Perturbation expansion Similarity variable

Journal

Journal of theoretical biology
ISSN: 1095-8541
Titre abrégé: J Theor Biol
Pays: England
ID NLM: 0376342

Informations de publication

Date de publication:
07 09 2019
Historique:
received: 02 08 2018
revised: 19 05 2019
accepted: 22 05 2019
pubmed: 28 5 2019
medline: 4 8 2020
entrez: 26 5 2019
Statut: ppublish

Résumé

The Nye-Tinker-Barber model is a basic and representative one for single-ion nutrient uptake by plant root from the soil and we aim to derive its approximate analytical solutions of flux and concentration. We divide the rhizosphere into the inner and the outer fields, match the inner and the outer solutions near the root surface, and then obtain the approximate analytical solutions of nutrient uptake flux at the root surface and global nutrient concentration of the diffusion or the convection-diffusion Nye-Tinker-Barber model. The analytical and numerical fluxes of K

Identifiants

pubmed: 31128141
pii: S0022-5193(19)30209-7
doi: 10.1016/j.jtbi.2019.05.012
pii:
doi:

Substances chimiques

Soil 0

Types de publication

Journal Article Research Support, Non-U.S. Gov't

Langues

eng

Sous-ensembles de citation

IM

Pagination

19-29

Informations de copyright

Copyright © 2019 Elsevier Ltd. All rights reserved.

Auteurs

Zhonghui Ou (Z)

Fujian Provincial Key Laboratory of Mathematical Analysis and its Applications, College of Mathematics and Informatics, Fujian Normal University, Qishan Campus, Fuzhou 350117, China. Electronic address: zhou@fjnu.edu.cn.

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Classifications MeSH