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Diffusion effects in calcium-regulated strain fields.

T N Hart¹, L E Trainor, B C Goodwin

¹Department of Physics, University of Toronto, Ontario, Canada.

Journal of Theoretical Biology

|February 8, 1989

Summary

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The Goodwin-Trainor equations were expanded to include local calcium ion changes in cellular morphogenesis. The generalized model remains stable at most wavelengths but may show instability at intermediate ones.

Area of Science:

Biophysics
Cell Biology
Mathematical Modeling

Background:

The Goodwin-Trainor equations model cellular morphogenesis using calcium ion regulation.
These equations link calcium ion concentration to the visco-elastic properties of the cellular cortex.

Purpose of the Study:

To generalize the Goodwin-Trainor equations for cellular morphogenesis.
To investigate the impact of locally varying calcium ion concentrations (free plus bound).

Main Methods:

Mathematical modeling and generalization of existing equations.
Stability analysis of the modified cellular morphogenesis model.

Main Results:

The generalized equations maintain stability against perturbations at low and high wavelengths.

Related Experiment Videos

Instabilities can emerge at intermediate wavelengths for specific parameter values.

Conclusions:

The generalized Goodwin-Trainor model provides a more comprehensive framework for cellular morphogenesis.
Local calcium dynamics play a crucial role in the stability of cellular shape regulation.