Serra, Roberto, Timoteo Carletti, Irene Poli, Marco Villani, and Alessandro Filisetti. “Conditions for emergent synchronization in protocell.” In Proceedings of ECCS07: European Conference on Complex Systems. CD-Rom, paper , no. 68. 2007.
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In this paper we study general protocell models, called Surface Reactions Models [10], aiming to understand the synchronization of genetic material and container productions, a necessary condition to assure sustainable growth in protocell. Synchronization has been proved to be an emergent property in many relevant protocell models [10], assuming both linear and nonlinear law for the replications rates; in this paper, contrarily with those previous studies, we improve the model by allowing linear interaction between replicators: catalysis and/or inhibition. Extending some techniques introduced in [10], we are able to give a quite general analytical answer about the synchronization phenomenon in this more general context. We also report some numerical results to investigate cases which are not yet amenable to analytical calculations.