Abstract
In this work, we introduce a wave-pinning mechanism in the bistable Schlögl model. Wave-pinning is induced by dynamically varying the unstable fixed point with a spatial global feedback. We present numerical simulations of the model in one and two dimensions for typical parameter values. The wave-pinning mechanism presented here can be used to reproduce the limited presence of phosphatidylinositol (3,4,5)-trisphosphate (PIP3) in the membrane of Dictyostelium discoideum cells, which plays a crucial role in the polarization and motility of the cell.
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Font, F., Moreno, E., Alonso, S. (2019). Wave-Pinning by Global Feedback in the Bistable Schlögl Model. In: Korobeinikov, A., Caubergh, M., Lázaro, T., Sardanyés, J. (eds) Extended Abstracts Spring 2018. Trends in Mathematics(), vol 11. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-25261-8_22
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DOI: https://doi.org/10.1007/978-3-030-25261-8_22
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