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Dimensionless Numbers to Analyze Expansive Growth Processes.

Joseph K E Ortega1

  • 1Department of Mechanical Engineering, University of Colorado Denver, Denver, CO 80217-3364, USA. joseph.ortega@ucdenver.edu.

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Summary

This study quantifies expansive cell growth in algae, fungi, and plants using dimensionless numbers. Water uptake capacity consistently exceeds wall deformation rates, with plastic deformation matching growth rates across species.

Keywords:
Chara corallinaPhycomyces blakesleeanusPisum satinis L.biophysical equationsdimensionless numbersexpansive growthwall deformationwater uptakeΠ parameters

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Area of Science:

  • Cell Biology
  • Biophysics
  • Plant Science

Background:

  • Algae, fungi, and plant cells exhibit expansive growth crucial for development and environmental responses.
  • Biophysical processes like water uptake and wall deformation drive this growth, with molecular insights available.
  • The relative magnitudes of these processes across different species remain less understood.

Purpose of the Study:

  • To compare the magnitudes of biophysical processes driving expansive cell growth in diverse species.
  • To utilize dimensionless numbers (Π parameters) for quantitative analysis of expansive growth.
  • To investigate the relationship between water uptake, wall deformation, and overall growth rate.

Main Methods:

  • Applied dimensionless numbers (Π parameters) to analyze expansive growth in *Chara corallina* (algae), *Phycomyces blakesleeanus* (fungi), and *Pisum satinis* L. (plants).
  • Quantified and compared the rates of water uptake, elastic wall deformation, and plastic wall deformation.
  • Related these rates to the overall expansive growth rate and wall stress relaxation.

Main Results:

  • For all studied species, water uptake rate capacity surpasses both plastic and elastic wall deformation rates.
  • Wall plastic deformation rates are of similar magnitude to the expansive growth rate across species.
  • Despite differing wall stress relaxation rates, plastic deformation magnitude remains comparable to growth rate.

Conclusions:

  • Dimensionless numbers effectively quantify and compare key biophysical processes in expansive cell growth.
  • Water uptake is a less limiting factor than wall properties for expansive growth.
  • Findings provide a framework for studying how environmental and genetic factors influence cell growth dynamics.