Dimensionless number is central to stress relaxation and expansive growth of the cell wall

Abstract Experiments demonstrate that both plastic and elastic deformation of the cell wall are necessary for wall stress relaxation and expansive growth of walled cells. A biophysical equation (Augmented Growth Equation) was previously shown to accurately model the experimentally observed wall stre...

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Autor principal:	Joseph K. E. Ortega
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/7474aa3c37e843009588470fe9bbee25
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spelling	oai:doaj.org-article:7474aa3c37e843009588470fe9bbee252021-12-02T12:32:20ZDimensionless number is central to stress relaxation and expansive growth of the cell wall10.1038/s41598-017-03002-62045-2322https://doaj.org/article/7474aa3c37e843009588470fe9bbee252017-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-03002-6https://doaj.org/toc/2045-2322Abstract Experiments demonstrate that both plastic and elastic deformation of the cell wall are necessary for wall stress relaxation and expansive growth of walled cells. A biophysical equation (Augmented Growth Equation) was previously shown to accurately model the experimentally observed wall stress relaxation and expansive growth rate. Here, dimensional analysis is used to obtain a dimensionless Augmented Growth Equation with dimensionless coefficients (groups of variables, or Π parameters). It is shown that a single Π parameter controls the wall stress relaxation rate. The Π parameter represents the ratio of plastic and elastic deformation rates, and provides an explicit relationship between expansive growth rate and the wall’s mechanical properties. Values for Π are calculated for plant, algal, and fungal cells from previously reported experimental results. It is found that the Π values for each cell species are large and very different from each other. Expansive growth rates are calculated using the calculated Π values and are compared to those measured for plant and fungal cells during different growth conditions, after treatment with IAA, and in different developmental stages. The comparison shows good agreement and supports the claim that the Π parameter is central to expansive growth rate of walled cells.Joseph K. E. OrtegaNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-16 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Joseph K. E. Ortega Dimensionless number is central to stress relaxation and expansive growth of the cell wall
description	Abstract Experiments demonstrate that both plastic and elastic deformation of the cell wall are necessary for wall stress relaxation and expansive growth of walled cells. A biophysical equation (Augmented Growth Equation) was previously shown to accurately model the experimentally observed wall stress relaxation and expansive growth rate. Here, dimensional analysis is used to obtain a dimensionless Augmented Growth Equation with dimensionless coefficients (groups of variables, or Π parameters). It is shown that a single Π parameter controls the wall stress relaxation rate. The Π parameter represents the ratio of plastic and elastic deformation rates, and provides an explicit relationship between expansive growth rate and the wall’s mechanical properties. Values for Π are calculated for plant, algal, and fungal cells from previously reported experimental results. It is found that the Π values for each cell species are large and very different from each other. Expansive growth rates are calculated using the calculated Π values and are compared to those measured for plant and fungal cells during different growth conditions, after treatment with IAA, and in different developmental stages. The comparison shows good agreement and supports the claim that the Π parameter is central to expansive growth rate of walled cells.
format	article
author	Joseph K. E. Ortega
author_facet	Joseph K. E. Ortega
author_sort	Joseph K. E. Ortega
title	Dimensionless number is central to stress relaxation and expansive growth of the cell wall
title_short	Dimensionless number is central to stress relaxation and expansive growth of the cell wall
title_full	Dimensionless number is central to stress relaxation and expansive growth of the cell wall
title_fullStr	Dimensionless number is central to stress relaxation and expansive growth of the cell wall
title_full_unstemmed	Dimensionless number is central to stress relaxation and expansive growth of the cell wall
title_sort	dimensionless number is central to stress relaxation and expansive growth of the cell wall
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/7474aa3c37e843009588470fe9bbee25
work_keys_str_mv	AT josephkeortega dimensionlessnumberiscentraltostressrelaxationandexpansivegrowthofthecellwall
_version_	1718394102049931264

Dimensionless number is central to stress relaxation and expansive growth of the cell wall

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