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A model for the propagation of intercellular calcium waves
J Sneyd1, A C Charles, M J Sanderson
1Department of Biomathematics, School of Medicine, University of California, Los Angeles 90024-1766.
The American Journal of Physiology
|January 1, 1994
Summary
Intercellular calcium (Ca2+) waves transmit signals between cells via inositol 1,4,5-trisphosphate (IP3) diffusion. Mathematical modeling suggests passive diffusion may be insufficient, proposing regenerative IP3 production for wave propagation.
Area of Science:
- Cellular biology
- Biophysics
- Mathematical modeling
Background:
- Mechanical stimulation of single cells triggers intercellular calcium (Ca2+) waves in airway epithelial and glial cells.
- These Ca2+ waves represent a key mechanism for intercellular communication.
- Previous experiments suggest inositol 1,4,5-trisphosphate (IP3) movement through gap junctions mediates wave propagation.
Purpose of the Study:
- To develop and validate a mathematical model simulating Ca2+ changes driven by IP3 movement between cells.
- To assess the hypothesis that IP3 diffusion through gap junctions underlies intercellular Ca2+ wave propagation.
Main Methods:
- Construction and numerical solution of a system of partial differential equations.
- Modeling Ca2+ dynamics and IP3 intercellular transfer.
- Comparison of model predictions with experimental observations.
Main Results:
- The model qualitatively reproduced experimental findings, including wave behavior without extracellular Ca2+, asynchronous Ca2+ oscillations, and wave passage through oscillating cells.
- The model indicated that passive IP3 diffusion might not achieve sufficient concentrations for wave propagation.
- Discrepancies suggest limitations in the passive diffusion hypothesis.
Conclusions:
- While the model supports the role of IP3 in intercellular Ca2+ waves, passive diffusion alone appears insufficient.
- Regenerative, Ca2+-independent production of IP3 is proposed as a necessary mechanism for sustained wave propagation.
- Further research is needed to elucidate the precise mechanisms of IP3 regulation in cell-to-cell signaling.