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A mathematical model of water and nutrient transport in xylem vessels of a wheat plant

A mathematical model of water and nutrient transport in xylem vessels of a wheat plant
A mathematical model of water and nutrient transport in xylem vessels of a wheat plant
At a time of increasing global demand for food, dwindling land and resources, and escalating pressures from climate change, the farming industry is undergoing financial strain, with a need to improve efficiency and crop yields. In order to improve efficiencies in crop farming, and in fertiliser usage in particular, understanding must be gained of the fertiliser-to-crop-yield pathway. We model one aspect of this pathway; the transport of nutrients within the vascular tissues of a crop plant from roots to leaves. We present a mathematical model of the transport of nutrients within the xylem vessels in response to the evapotranspiration of water. We determine 7 different classes of flow, including positive unidirectional flow, which is optimal for nutrient transport from the roots to the leaves; and root multidirectional flow, which is similar to the hydraulic lift process observed in plants. We also investigate the effect of diffusion on nutrient transport and find that diffusion can be significant at the vessel termini especially if there is an axial efflux of nutrient, and at night when transpiration is minimal. Models such as these can then be coupled to whole-plant models to be used for optimisation of nutrient delivery scenarios.
vascular transport, phosphate, multidirectional flow, plant modelling
0092-8240
1-31
Payvandi, Sevil
339e8ebe-ae4d-4bea-a99d-549564675820
Daly, Keith R.
64f85c2e-2562-44df-9cb8-1be7fbc7e74c
Jones, David
83788d9d-a76c-41e1-b824-5c55bb2eef3d
Talboys, Peter
605a39b8-92b2-475d-8071-2dd136b81615
Zygalakis, K.C.
a330d719-2ccb-49bd-8cd8-d06b1e6daca6
Roose, Tiina
3581ab5b-71e1-4897-8d88-59f13f3bccfe
Payvandi, Sevil
339e8ebe-ae4d-4bea-a99d-549564675820
Daly, Keith R.
64f85c2e-2562-44df-9cb8-1be7fbc7e74c
Jones, David
83788d9d-a76c-41e1-b824-5c55bb2eef3d
Talboys, Peter
605a39b8-92b2-475d-8071-2dd136b81615
Zygalakis, K.C.
a330d719-2ccb-49bd-8cd8-d06b1e6daca6
Roose, Tiina
3581ab5b-71e1-4897-8d88-59f13f3bccfe

Payvandi, Sevil, Daly, Keith R., Jones, David, Talboys, Peter, Zygalakis, K.C. and Roose, Tiina (2014) A mathematical model of water and nutrient transport in xylem vessels of a wheat plant. Bulletin of Mathematical Biology, 1-31. (doi:10.1007/s11538-013-9932-4).

Record type: Article

Abstract

At a time of increasing global demand for food, dwindling land and resources, and escalating pressures from climate change, the farming industry is undergoing financial strain, with a need to improve efficiency and crop yields. In order to improve efficiencies in crop farming, and in fertiliser usage in particular, understanding must be gained of the fertiliser-to-crop-yield pathway. We model one aspect of this pathway; the transport of nutrients within the vascular tissues of a crop plant from roots to leaves. We present a mathematical model of the transport of nutrients within the xylem vessels in response to the evapotranspiration of water. We determine 7 different classes of flow, including positive unidirectional flow, which is optimal for nutrient transport from the roots to the leaves; and root multidirectional flow, which is similar to the hydraulic lift process observed in plants. We also investigate the effect of diffusion on nutrient transport and find that diffusion can be significant at the vessel termini especially if there is an axial efflux of nutrient, and at night when transpiration is minimal. Models such as these can then be coupled to whole-plant models to be used for optimisation of nutrient delivery scenarios.

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Accepted/In Press date: 17 December 2013
e-pub ahead of print date: 21 February 2014
Published date: 21 February 2014
Keywords: vascular transport, phosphate, multidirectional flow, plant modelling
Organisations: Bioengineering Group

Identifiers

Local EPrints ID: 360620
URI: http://eprints.soton.ac.uk/id/eprint/360620
ISSN: 0092-8240
PURE UUID: d316e455-d73f-4382-86b4-0dd2cae49617
ORCID for Tiina Roose: ORCID iD orcid.org/0000-0001-8710-1063

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Date deposited: 19 Dec 2013 14:34
Last modified: 26 Nov 2019 01:42

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Contributors

Author: Sevil Payvandi
Author: Keith R. Daly
Author: David Jones
Author: Peter Talboys
Author: K.C. Zygalakis
Author: Tiina Roose ORCID iD

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