Two-dimensional Ca2 + oscillations are investigated in a cell network in the presence of bidirectional paracrine signaling interactions. The proposed model relies on Ca2 +-induced Ca2 + release, in which Ca2 +-stimulated degradation of inositol 1,4,5-triphosphate (IP3) by a3-kinase plays a significant role. Via predictions from the synchronization factor R in the parameter domain, the propagation of intercellular Ca2 + wave is numerically studied. Large values of external stimulus are required for weak paracrine coupling to support synchronization, while the latter takes place for strong coupling when the hormonal stimulus is weak. Moreover, the rate of linear leak of Ca2 + from the endoplasmic reticulum to the cytosol favors synchronous states when the paracrine coupling is weak. Considering particularly weak values of the synchronization factor, importance is given to the effect of paracrine signaling. Different scenarios are recorded, especially the appearance of spiral Ca2 + waves and their disintegration to turbulent patterns under strong paracrine coupling. Additionally, weak paracrine coupling gives rise to target Ca2 + waves. It is also reported that a suitable balance between the IP3 degradation and the cell’s degree of stimulus is necessary for the robustness of spiral waves to be effective under appropriate paracrine coupling strength.
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Aerospace Engineering
- Ocean Engineering
- Mechanical Engineering
- Applied Mathematics
- Electrical and Electronic Engineering