ArticleScientific reports2017
Dimensionless number is central to stress relaxation and expansive growth of the cell wall.
Article in Scientific reports, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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Who cites it
10 citing papers in PubMed.
- Theoretical Analyses of Turgor Pressure and Expansive Growth Rate of Plant Cells During Water Deficit.Plants (Basel, Switzerland) · 2025Article
- The relationship between wall extensibility, hydraulic conductance, and turgor pressure during expansive growth.Plant physiology · 2025Article
- Biophysical Equations and Pressure Probe Experiments to Determine Altered Growth Processes after Changes in Environment, Development, and Mutations.Plants (Basel, Switzerland) · 2022Article
- Helical growth during the phototropic response, avoidance response, and in stiff mutants of Phycomyces blakesleeanus.Scientific reports · 2021Article
- Dimensionless numbers to study cell wall deformation of stiff mutants ofPlant direct · 2019Article
- Dimensionless Numbers to Analyze Expansive Growth Processes.Plants (Basel, Switzerland) · 2019Article
- Osmolyte homeostasis controls single-cell growth rate and maximum cell size ofNPJ systems biology and applications · 2019Article
- The brown algal mode of tip growth: Keeping stress under control.PLoS biology · 2019Article
- A Statistical Model of Expansive Growth in Plant and Fungal Cells: The Case of Phycomyces.Biophysical journal · 2018Article
- Diffuse Growth of Plant Cell Walls.Plant physiology · 2018Review
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1 author.
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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.
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