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
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
19-29Informations de copyright
Copyright © 2019 Elsevier Ltd. All rights reserved.