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Mechanical Stimulation-induced Calcium Wave Propagation in Cell Monolayers: The Example of Bovine Corneal Endothelial Cells
Published on: July 16, 2013
Dispersion gap and localized spiral waves in a model for intracellular Ca2+ dynamics
1Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, 01187 Dresden, Germany.
Physical Review Letters
|September 16, 2000
Summary
We investigated a velocity gap in wave train dynamics within a calcium signaling model. Localized spirals form in two dimensions when wavelengths fall into this dispersion gap.
Area of Science:
- Biophysics
- Chemical Kinetics
- Mathematical Biology
Background:
- Reaction-diffusion systems model complex biological processes.
- Intracellular calcium dynamics are crucial for cell signaling.
- Dispersion relations describe wave propagation characteristics.
Purpose of the Study:
- To investigate the phenomenon of a velocity gap in the dispersion relation.
- To model intracellular calcium dynamics using a bistable three-component reaction-diffusion system.
- To analyze the formation of localized pinned spirals in two spatial dimensions.
Main Methods:
- Studied a bistable three-component reaction-diffusion system.
- Analyzed the dispersion relation of periodic planar wave trains.
- Observed spiral formation in two spatial dimensions.
Main Results:
- A velocity gap in the dispersion relation was identified.
- Localized pinned spirals were observed when wavelengths fell within the dispersion gap.
- Free spirals were destroyed under conditions lacking a dispersion gap, even with existing planar wave trains.
Conclusions:
- The velocity gap in the dispersion relation influences spiral formation in intracellular calcium dynamics.
- Localized pinned spirals are a consequence of specific wavelength conditions within the dispersion gap.
- The presence or absence of a dispersion gap significantly impacts spiral stability.
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