The fiber walk: a model of tip-driven growth with lateral expansion.

Tip-driven growth processes underlie the development of many plants. To date, tip-driven growth processes have been modeled as an elongating path or series of segments, without taking into account lateral expansion during elongation. Instead, models of growth often introduce an explicit thickness by...

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Autores principales:	Alexander Bucksch, Greg Turk, Joshua S Weitz
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2014
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/f79431e9e0d14725a3184ade5d472a87
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spelling	oai:doaj.org-article:f79431e9e0d14725a3184ade5d472a872021-11-18T08:36:35ZThe fiber walk: a model of tip-driven growth with lateral expansion.1932-620310.1371/journal.pone.0085585https://doaj.org/article/f79431e9e0d14725a3184ade5d472a872014-01-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/pmid/24465607/?tool=EBIhttps://doaj.org/toc/1932-6203Tip-driven growth processes underlie the development of many plants. To date, tip-driven growth processes have been modeled as an elongating path or series of segments, without taking into account lateral expansion during elongation. Instead, models of growth often introduce an explicit thickness by expanding the area around the completed elongated path. Modeling expansion in this way can lead to contradictions in the physical plausibility of the resulting surface and to uncertainty about how the object reached certain regions of space. Here, we introduce fiber walks as a self-avoiding random walk model for tip-driven growth processes that includes lateral expansion. In 2D, the fiber walk takes place on a square lattice and the space occupied by the fiber is modeled as a lateral contraction of the lattice. This contraction influences the possible subsequent steps of the fiber walk. The boundary of the area consumed by the contraction is derived as the dual of the lattice faces adjacent to the fiber. We show that fiber walks generate fibers that have well-defined curvatures, and thus enable the identification of the process underlying the occupancy of physical space. Hence, fiber walks provide a base from which to model both the extension and expansion of physical biological objects with finite thickness.Alexander BuckschGreg TurkJoshua S WeitzPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 9, Iss 1, p e85585 (2014)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Alexander Bucksch Greg Turk Joshua S Weitz The fiber walk: a model of tip-driven growth with lateral expansion.
description	Tip-driven growth processes underlie the development of many plants. To date, tip-driven growth processes have been modeled as an elongating path or series of segments, without taking into account lateral expansion during elongation. Instead, models of growth often introduce an explicit thickness by expanding the area around the completed elongated path. Modeling expansion in this way can lead to contradictions in the physical plausibility of the resulting surface and to uncertainty about how the object reached certain regions of space. Here, we introduce fiber walks as a self-avoiding random walk model for tip-driven growth processes that includes lateral expansion. In 2D, the fiber walk takes place on a square lattice and the space occupied by the fiber is modeled as a lateral contraction of the lattice. This contraction influences the possible subsequent steps of the fiber walk. The boundary of the area consumed by the contraction is derived as the dual of the lattice faces adjacent to the fiber. We show that fiber walks generate fibers that have well-defined curvatures, and thus enable the identification of the process underlying the occupancy of physical space. Hence, fiber walks provide a base from which to model both the extension and expansion of physical biological objects with finite thickness.
format	article
author	Alexander Bucksch Greg Turk Joshua S Weitz
author_facet	Alexander Bucksch Greg Turk Joshua S Weitz
author_sort	Alexander Bucksch
title	The fiber walk: a model of tip-driven growth with lateral expansion.
title_short	The fiber walk: a model of tip-driven growth with lateral expansion.
title_full	The fiber walk: a model of tip-driven growth with lateral expansion.
title_fullStr	The fiber walk: a model of tip-driven growth with lateral expansion.
title_full_unstemmed	The fiber walk: a model of tip-driven growth with lateral expansion.
title_sort	fiber walk: a model of tip-driven growth with lateral expansion.
publisher	Public Library of Science (PLoS)
publishDate	2014
url	https://doaj.org/article/f79431e9e0d14725a3184ade5d472a87
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The fiber walk: a model of tip-driven growth with lateral expansion.

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