title: Synchronization of cells with activator-inhibitor pathways through adaptive environment-mediated coupling.
abstract: In this paper, we report the synchronized dynamics of cells with activator-inhibitor pathways via an adaptive environment-mediated coupling scheme with feedbacks and control mechanisms. The adaptive character of the extracellular medium is modeled via its damping parameter as a physiological response aiming at annihilating the cellular differentiation existing between the chaotic biochemical pathways of the cells, in order to preserve homeostasis. We perform an investigation on the existence and stability of the synchronization manifold of the coupled system under the proposed coupling pattern. Both mathematical and computational tools suggest the accessibility of conducive prerequisites (conditions) for the emergence of a robust synchronous regime. The relevance of a phase-synchronized dynamics is appraised and several numerical indicators advocate for the prevalence of this fascinating phenomenon among the interacting cells in the phase space.
authors.affiliation: Complex systems and Theoretical Biology Group, Laboratory of Research on Advanced Materials and Nonlinear Science (LaRAMaNS), Department of Physics, Faculty of Science, University of Buea, P.O. Box 63 Buea-CAMEROON and Laboratoire de Mécanique, Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé-Cameroon.
authors.forename: P Guemkam
authors.initials: PG
authors.lastname: Ghomsi
authors.affiliation: Complex systems and Theoretical Biology Group, Laboratory of Research on Advanced Materials and Nonlinear Science (LaRAMaNS), Department of Physics, Faculty of Science, University of Buea, P.O. Box 63 Buea-CAMEROON and International Centre of Insect Physiology and Ecology, P.O. Box 30772-00100, Nairobi, Kenya.
authors.forename: F M Moukam
authors.initials: FM
authors.lastname: Kakmeni
authors.affiliation: Laboratoire de Mécanique, Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé-Cameroon.
authors.forename: C
authors.initials: C
authors.lastname: Tchawoua
authors.affiliation: Laboratoire de Mécanique, Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé-Cameroon.
authors.forename: T C
authors.initials: TC
authors.lastname: Kofane
mesh_terms: D002477:Cells / Q000378:metabolism*; D025461:Feedback, Physiological; D008954:Models, Biological; D017711:Nonlinear Dynamics