Hybrid vertex-midline modelling of elongated plant organs

We describe a method for the simulation of the growth of elongated plant organs, such as seedling roots. By combining a midline representation of the organ on a tissue scale and a vertex-based representation on the cell scale, we obtain a multiscale method, which is able to both simulate organ growt...

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Main Authors: Fozard, John A., Bennett, Malcolm J., King, John R., Jensen, Oliver E.
Format: Article
Published: Royal Society 2016
Online Access:https://eprints.nottingham.ac.uk/37636/
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author Fozard, John A.
Bennett, Malcolm J.
King, John R.
Jensen, Oliver E.
author_facet Fozard, John A.
Bennett, Malcolm J.
King, John R.
Jensen, Oliver E.
author_sort Fozard, John A.
building Nottingham Research Data Repository
collection Online Access
description We describe a method for the simulation of the growth of elongated plant organs, such as seedling roots. By combining a midline representation of the organ on a tissue scale and a vertex-based representation on the cell scale, we obtain a multiscale method, which is able to both simulate organ growth and incorporate cell-scale processes. Equations for the evolution of the midline are obtained, which depend on the cell-wall properties of individual cells through appropriate averages over the vertex-based representation. The evolution of the organ midline is used to deform the cellular-scale representation. This permits the investigation of the regulation of organ growth through the cell-scale transport of the plant hormone auxin. The utility of this method is demonstrated in simulating the early stages of the response of a root to gravity, using a vertex-based template acquired from confocal imaging. Asymmetries in the concentrations of auxin between the upper and lower sides of the root lead to bending of the root midline, reflecting a gravitropic response.
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spelling nottingham-376362020-05-04T18:06:49Z https://eprints.nottingham.ac.uk/37636/ Hybrid vertex-midline modelling of elongated plant organs Fozard, John A. Bennett, Malcolm J. King, John R. Jensen, Oliver E. We describe a method for the simulation of the growth of elongated plant organs, such as seedling roots. By combining a midline representation of the organ on a tissue scale and a vertex-based representation on the cell scale, we obtain a multiscale method, which is able to both simulate organ growth and incorporate cell-scale processes. Equations for the evolution of the midline are obtained, which depend on the cell-wall properties of individual cells through appropriate averages over the vertex-based representation. The evolution of the organ midline is used to deform the cellular-scale representation. This permits the investigation of the regulation of organ growth through the cell-scale transport of the plant hormone auxin. The utility of this method is demonstrated in simulating the early stages of the response of a root to gravity, using a vertex-based template acquired from confocal imaging. Asymmetries in the concentrations of auxin between the upper and lower sides of the root lead to bending of the root midline, reflecting a gravitropic response. Royal Society 2016-08-16 Article PeerReviewed Fozard, John A., Bennett, Malcolm J., King, John R. and Jensen, Oliver E. (2016) Hybrid vertex-midline modelling of elongated plant organs. Interface Focus, 6 (4). 20160043/1-20160043/14. ISSN 2042-8901 http://rsfs.royalsocietypublishing.org/content/6/5/20160043 doi:10.1098/rsfs.2016.0043 doi:10.1098/rsfs.2016.0043
spellingShingle Fozard, John A.
Bennett, Malcolm J.
King, John R.
Jensen, Oliver E.
Hybrid vertex-midline modelling of elongated plant organs
title Hybrid vertex-midline modelling of elongated plant organs
title_full Hybrid vertex-midline modelling of elongated plant organs
title_fullStr Hybrid vertex-midline modelling of elongated plant organs
title_full_unstemmed Hybrid vertex-midline modelling of elongated plant organs
title_short Hybrid vertex-midline modelling of elongated plant organs
title_sort hybrid vertex-midline modelling of elongated plant organs
url https://eprints.nottingham.ac.uk/37636/
https://eprints.nottingham.ac.uk/37636/
https://eprints.nottingham.ac.uk/37636/