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Spatial phase pattern in one-dimensional arrays of limit cycle oscillators with discrete coupling
1Department of Chemistry, Fukuoka University of Education 729 Akama, Munakata, Fukuoka 811-41, Japan.
Biophysical Chemistry
|October 1, 1994
Summary
We modeled collective cell oscillations using limit cycle oscillators. A novel phase-dependent coupling revealed spatial patterns of synchronized calcium concentration clusters in cell communities.
Area of Science:
- Biophysics
- Cell Biology
- Mathematical Modeling
Background:
- Intracellular calcium (Ca2+) oscillations regulate numerous cellular processes.
- Cell-to-cell communication of Ca2+ signals occurs via gap junctions.
- Gap junction permeability is influenced by intracellular Ca2+ levels.
Purpose of the Study:
- To model collective oscillations in intracellular calcium concentration within cell communities.
- To investigate the impact of phase-dependent intercellular coupling on oscillation patterns.
Main Methods:
- Developed a mathematical model of limit cycle oscillators.
- Incorporated phase-dependent discrete coupling between nearest-neighbor cells.
- Simulated the model to observe spatial and temporal patterns of calcium oscillations.
Main Results:
- The model successfully reproduced collective oscillations in intracellular calcium.
- Phase-dependent coupling led to the emergence of spatial phase patterns.
- Observed the formation of distinct clusters with synchronized oscillations.
Conclusions:
- Phase-dependent coupling is a critical factor in generating coordinated cellular behavior.
- The model provides insights into the mechanisms of intercellular calcium signaling.
- Predicts spatial clustering of synchronized oscillations in cell communities.
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