ArticleJournal of the Royal Society, Interface2011
Solutions for a local equation of anisotropic plant cell growth: an analytical study of expansin activity.
Article in Journal of the Royal Society, Interface, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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Who cites it
5 citing papers in PubMed.
- Molecular Mechanisms and Experimental Strategies for Understanding Plant Drought Response.Plants (Basel, Switzerland) · 2026Review
- A Statistical Model of Expansive Growth in Plant and Fungal Cells: The Case of Phycomyces.Biophysical journal · 2018Article
- Dimensionless number is central to stress relaxation and expansive growth of the cell wall.Scientific reports · 2017Article
- Multiscale systems analysis of root growth and development: modeling beyond the network and cellular scales.The Plant cell · 2012Review
- A model of crosslink kinetics in the expanding plant cell wall: yield stress and enzyme action.Journal of theoretical biology · 2012Article
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1 author.
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Abstract
This paper presents a generalization of the Lockhart equation for plant cell/organ expansion in the anisotropic case. The intent is to take into account the temporal and spatial variation in the cell wall mechanical properties by considering the wall 'extensibility' (Φ), a time- and space-dependent parameter. A dynamic linear differential equation of a second-order tensor is introduced by describing the anisotropic growth process with some key biochemical aspects included. The distortion and expansion of plant cell walls initiated by expansins, a class of proteins known to enhance cell wall 'extensibility', is also described. In this approach, expansin proteins are treated as active agents participating in isotropic/anisotropic growth. Two-parameter models and an equation for describing α- and β-expansin proteins are proposed by delineating the extension of isolated wall samples, allowing turgor-driven polymer creep, where expansins weaken the non-covalent binding between wall polysaccharides. We observe that the calculated halftime (t(1/2) = εΦ(0) log 2) of stress relaxation due to expansin action can be described in mechanical terms.
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