Quantum Physics Division
Faculty of PhysicsAdam Mickiewicz University

Statistical mechanics model of angiogenic tumor growth

A.L. Ferreira1 , D. Lipowska2 , A. Lipowski3

1 Departamento de Fisica and I3N, Universidade de Aveiro, 3810-193 Aveiro, Portugal
2 Faculty of Modern Languages and Literature, Adam Mickiewicz University, Poznan, Poland
3 Faculty of Physics, Adam Mickiewicz University, ul. Umultowska 85, PL 61-614 Poznań, Poland

Phys. Rev. E, 85, 010901 (2012)
DOI: 10.1103/PhysRevE.85.010901


We examine a lattice model of tumor growth where the survival of tumor cells depends on the supplied nutrients. When such a supply is random, the extinction of tumors belongs to the directed percolation universality class. However, when the supply is correlated with the distribution of tumor cells, which as we suggest might mimic the angiogenic growth, the extinction shows different critical behavior. Such a correlation affects also the morphology of the growing tumors and drastically raises tumor-survival probability.


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