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Cortical activity in vertebrate eggs. I: The activation waves
A Cheer1, J P Vincent, R Nuccitelli
1Department of Mathematics, University of California, Davis 95616.
Journal of Theoretical Biology
|February 21, 1987
Summary
We developed a physical model for egg surface waves, revealing a calcium-stimulated calcium-release mechanism in Medaka eggs. This model explains mechanical and chemical wave propagation in vertebrate eggs, aiding in diagnosing egg cortex properties.
Area of Science:
- Developmental Biology
- Biophysics
- Cellular Mechanics
Background:
- Vertebrate eggs exhibit complex surface wave phenomena, including calcium waves and mechanical deformations.
- Previous research suggested calcium-stimulated calcium-release as the driver for Medaka egg calcium waves.
- Actomyosin gel dynamics were implicated in the mechanical wave pair observed on Xenopus egg surfaces.
Purpose of the Study:
- To present a physical model for the propagation of chemical and mechanical waves on vertebrate egg surfaces.
- To mathematically formulate the calcium-stimulated calcium-release hypothesis for Medaka eggs.
- To propose and simulate a mechanism for the mechanical wave pair in Xenopus eggs based on actomyosin gel physical chemistry.
Main Methods:
- Mathematical formulation of the calcium-stimulated calcium-release hypothesis.
- Analysis of wavefront data to map cortical reactivity.
- Computer simulation of gel expansion and contraction based on physical chemistry equations.
Main Results:
- A map of cortical reactivity for Medaka eggs was generated, showing a gradient from animal to vegetal hemispheres.
- The model explains the lag between swelling and contraction in Xenopus eggs due to differing kinetics.
- Computer simulations successfully mimicked chemical and mechanical wave propagation.
Conclusions:
- The physical model provides a framework for understanding wave propagation on vertebrate egg surfaces.
- Cortical reactivity exhibits a hemispheric gradient in Medaka eggs.
- The model offers a method for diagnosing egg cortex mechanochemical properties using observed waves.