A surface model of nonlinear, non-steady-state phloem transport
Phloem transport is the process by which carbohydrates produced by photosynthesis in the leaves get distributed in a plant. According to Münch, the osmotically generated hydrostatic phloem pressure is the force driving the long-distance transport of photoassimilates. Following Thompson and Holbrook[...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2017-07-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2017055 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590090889592832 |
|---|---|
| author | Youcef Mammeri Damien Sellier |
| author_facet | Youcef Mammeri Damien Sellier |
| author_sort | Youcef Mammeri |
| collection | DOAJ |
| description | Phloem transport is the process by which carbohydrates produced by photosynthesis in the leaves get distributed in a plant. According to Münch, the osmotically generated hydrostatic phloem pressure is the force driving the long-distance transport of photoassimilates. Following Thompson and Holbrook[35]'s approach, we develop a mathematical model of coupled water-carbohydrate transport. It is first proven that the model presented here preserves the positivity. The model is then applied to simulate the flow of phloem sap for an organic tree shape, on a 3D surface and in a channel with orthotropic hydraulic properties. Those features represent an significant advance in modelling the pathway for carbohydrate transport in trees. |
| format | Article |
| id | doaj-art-f6b102468cfe4d76bb7a111afd53e79b |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2017-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-f6b102468cfe4d76bb7a111afd53e79b2025-01-24T02:39:55ZengAIMS PressMathematical Biosciences and Engineering1551-00182017-07-011441055106910.3934/mbe.2017055A surface model of nonlinear, non-steady-state phloem transportYoucef Mammeri0Damien Sellier1Laboratoire Amiénois de Mathématique Fondamentale et Appliquée, CNRS UMR 7352, Université de Picardie Jules Verne, 80069 Amiens, FranceSCION, New Zealand Forest Research Institute, Private bag 3020, Rotorua 3046, New ZealandPhloem transport is the process by which carbohydrates produced by photosynthesis in the leaves get distributed in a plant. According to Münch, the osmotically generated hydrostatic phloem pressure is the force driving the long-distance transport of photoassimilates. Following Thompson and Holbrook[35]'s approach, we develop a mathematical model of coupled water-carbohydrate transport. It is first proven that the model presented here preserves the positivity. The model is then applied to simulate the flow of phloem sap for an organic tree shape, on a 3D surface and in a channel with orthotropic hydraulic properties. Those features represent an significant advance in modelling the pathway for carbohydrate transport in trees.https://www.aimspress.com/article/doi/10.3934/mbe.2017055phloem transportdiffusion-convection equationwell-posednessfinite elements |
| spellingShingle | Youcef Mammeri Damien Sellier A surface model of nonlinear, non-steady-state phloem transport Mathematical Biosciences and Engineering phloem transport diffusion-convection equation well-posedness finite elements |
| title | A surface model of nonlinear, non-steady-state phloem transport |
| title_full | A surface model of nonlinear, non-steady-state phloem transport |
| title_fullStr | A surface model of nonlinear, non-steady-state phloem transport |
| title_full_unstemmed | A surface model of nonlinear, non-steady-state phloem transport |
| title_short | A surface model of nonlinear, non-steady-state phloem transport |
| title_sort | surface model of nonlinear non steady state phloem transport |
| topic | phloem transport diffusion-convection equation well-posedness finite elements |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2017055 |
| work_keys_str_mv | AT youcefmammeri asurfacemodelofnonlinearnonsteadystatephloemtransport AT damiensellier asurfacemodelofnonlinearnonsteadystatephloemtransport AT youcefmammeri surfacemodelofnonlinearnonsteadystatephloemtransport AT damiensellier surfacemodelofnonlinearnonsteadystatephloemtransport |