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A method to determine the displacement velocity field in the apical region of the Arabidopsis root

In angiosperms, growth of the root apex is determined by the quiescent centre. All tissues of the root proper and the root cap are derived from initial cells that surround this zone. The diversity of cell lineages originated from these initials suggests an interesting variation of the displacement v...

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Autores principales: Nakielski, Jerzy, Lipowczan, Marcin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer-Verlag 2012
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3481058/
https://www.ncbi.nlm.nih.gov/pubmed/22828709
http://dx.doi.org/10.1007/s00425-012-1707-x
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author Nakielski, Jerzy
Lipowczan, Marcin
author_facet Nakielski, Jerzy
Lipowczan, Marcin
author_sort Nakielski, Jerzy
collection PubMed
description In angiosperms, growth of the root apex is determined by the quiescent centre. All tissues of the root proper and the root cap are derived from initial cells that surround this zone. The diversity of cell lineages originated from these initials suggests an interesting variation of the displacement velocity within the root apex. However, little is known about this variation, especially in the most apical region including the root cap. This paper shows a method of determination of velocity field for this region taking the Arabidopsis root apex as example. Assuming the symplastic growth without a rotation around the root axis, the method combines mathematical modelling and two types of empirical data: the published velocity profile along the root axis above the quiescent centre, and dimensions of cell packet originated from the initials of epidermis and lateral root cap. The velocities, calculated for points of the axial section, vary in length and direction. Their length increases with distance from the quiescent centre, in the root cap at least twice slower than in the root proper, if points at similar distance from the quiescent centre are compared. The vector orientation depends on the position of a calculation point, the widest range of angular changes, reaching almost 90°, in the lateral root cap. It is demonstrated how the velocity field is related to both distribution of growth rates and growth-resulted deformation of the cell wall system. Also changes in the field due to cell pattern asymmetry and differences in slope of the velocity profile are modelled. ELECTRONIC SUPPLEMENTARY MATERIAL: The online version of this article (doi:10.1007/s00425-012-1707-x) contains supplementary material, which is available to authorized users.
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spelling pubmed-34810582012-11-01 A method to determine the displacement velocity field in the apical region of the Arabidopsis root Nakielski, Jerzy Lipowczan, Marcin Planta Original Article In angiosperms, growth of the root apex is determined by the quiescent centre. All tissues of the root proper and the root cap are derived from initial cells that surround this zone. The diversity of cell lineages originated from these initials suggests an interesting variation of the displacement velocity within the root apex. However, little is known about this variation, especially in the most apical region including the root cap. This paper shows a method of determination of velocity field for this region taking the Arabidopsis root apex as example. Assuming the symplastic growth without a rotation around the root axis, the method combines mathematical modelling and two types of empirical data: the published velocity profile along the root axis above the quiescent centre, and dimensions of cell packet originated from the initials of epidermis and lateral root cap. The velocities, calculated for points of the axial section, vary in length and direction. Their length increases with distance from the quiescent centre, in the root cap at least twice slower than in the root proper, if points at similar distance from the quiescent centre are compared. The vector orientation depends on the position of a calculation point, the widest range of angular changes, reaching almost 90°, in the lateral root cap. It is demonstrated how the velocity field is related to both distribution of growth rates and growth-resulted deformation of the cell wall system. Also changes in the field due to cell pattern asymmetry and differences in slope of the velocity profile are modelled. ELECTRONIC SUPPLEMENTARY MATERIAL: The online version of this article (doi:10.1007/s00425-012-1707-x) contains supplementary material, which is available to authorized users. Springer-Verlag 2012-07-25 2012 /pmc/articles/PMC3481058/ /pubmed/22828709 http://dx.doi.org/10.1007/s00425-012-1707-x Text en © The Author(s) 2012 https://creativecommons.org/licenses/by/4.0/ This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.
spellingShingle Original Article
Nakielski, Jerzy
Lipowczan, Marcin
A method to determine the displacement velocity field in the apical region of the Arabidopsis root
title A method to determine the displacement velocity field in the apical region of the Arabidopsis root
title_full A method to determine the displacement velocity field in the apical region of the Arabidopsis root
title_fullStr A method to determine the displacement velocity field in the apical region of the Arabidopsis root
title_full_unstemmed A method to determine the displacement velocity field in the apical region of the Arabidopsis root
title_short A method to determine the displacement velocity field in the apical region of the Arabidopsis root
title_sort method to determine the displacement velocity field in the apical region of the arabidopsis root
topic Original Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3481058/
https://www.ncbi.nlm.nih.gov/pubmed/22828709
http://dx.doi.org/10.1007/s00425-012-1707-x
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