Mathematical Models of Avascular Tumor Growth
SIAM Review
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In this paper we examine the synchronization of a collection of repressilators in tumour-like cell aggregations coupled using quorum sensing. The force of diffusion that exists between neighbouring cells on the surface of the tumour has been paid due consideration. The study reveals that such a coupled system would show synchronization. Our computational results further show that such a prediction holds not only for individual tumours but also for multiple tumours coupled together. The degree of synchronization is found to be dependent on the strength of coupling, which is in turn determined by the cell density.