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Nonlinear dynamics of inositol 1,4,5-trisphosphate-induced Ca\(^{2+}\) patterns in two-dimensional cell networks with paracrine signaling interaction

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Abstract

Two-dimensional Ca\(^{2+}\) oscillations are investigated in a cell network in the presence of bidirectional paracrine signaling interactions. The proposed model relies on Ca\(^{2+}\)-induced Ca\(^{2+}\) release, in which Ca\(^{2+}\)-stimulated degradation of inositol 1,4,5-triphosphate (IP\(_3\)) by a3-kinase plays a significant role. Via predictions from the synchronization factor R in the parameter domain, the propagation of intercellular Ca\(^{2+}\) 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 Ca\(^{2+}\) 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 Ca\(^{2+}\) waves and their disintegration to turbulent patterns under strong paracrine coupling. Additionally, weak paracrine coupling gives rise to target Ca\(^{2+}\) waves. It is also reported that a suitable balance between the IP\(_3\) degradation and the cell’s degree of stimulus is necessary for the robustness of spiral waves to be effective under appropriate paracrine coupling strength.

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Data availability

The simulation data related to the current study are not publicly available due to but can be obtained from the corresponding author, CBT, on reasonable request.

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Acknowledgements

CBT thanks the Kavli Institute for Theoretical Physics (KITP), University of California Santa Barbara (USA), where this work was supported in part by the National Science Foundation Grant no.NSF PHY-1748958, NIH Grant no.R25GM067110, and the Gordon and Betty Moore Foundation Grant no.2919.01.

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Authors and Affiliations

  1. Laboratory of Biophysics, Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé I, Cameroon

    Thierry Kenne Tiayo, Armand Sylvin Etémé & Henri Paul Ekobena Fouda

  2. Department of Physics and Astronomy, Botswana International University of Science and Technology, Private Bag 16, Palapye, Botswana

    Conrad Bertrand Tabi & Timoléon Crépin Kofané

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  1. Thierry Kenne Tiayo
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  2. Armand Sylvin Etémé
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Correspondence to Conrad Bertrand Tabi.

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Tiayo, T.K., Etémé, A.S., Tabi, C.B. et al. Nonlinear dynamics of inositol 1,4,5-trisphosphate-induced Ca\(^{2+}\) patterns in two-dimensional cell networks with paracrine signaling interaction. Nonlinear Dyn 111, 12593–12606 (2023). https://doi.org/10.1007/s11071-023-08491-x

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