https://doi.org/10.1140/epjp/s13360-023-04792-7
Regular Article
Dynamics of protein–lipid interactions in a three-variable reaction–diffusion model of myristoyl-electrostatic cycle in living cell
1
Laboratory of Biophysics, Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon
2
Department of Physics, Faculty of Science, University of Douala, P.O. Box 24157, Douala, Cameroon
3
African Centre for Advanced Studies, P.O. Box 4477, Yaoundé, Cameroon
Received:
11
October
2023
Accepted:
12
December
2023
Published online:
30
December
2023
Protein–lipid interactions dynamics through a three-variable reaction–diffusion model in the living cell are explored. It is proven that the dynamics of such a system is governed by a two-dimensional cubic complex Ginzburg–Landau equation. Linear stability analysis is carried out through modulational instability. It appears that both rate constant of lipid association of unphosphorylated proteins and the diffusion coefficient of proteins on membrane impact the zone of instability and the amplitude of the growth rate. The 
-expansion method is used to construct analytical spiral and periodic solutions. These structures are robust and propagate for large values of the diffusion coefficient of proteins on membrane during protein–lipid interactions.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
