%0 Journal Article %1 Ferreira2012Statistical %A Ferreira, António L. %A Lipowska, Dorota %A Lipowski, Adam %D 2012 %I American Physical Society %J Physical Review E %K cancer, lattice\_model %P 010901+ %R 10.1103/physreve.85.010901 %T Statistical mechanics model of angiogenic tumor growth %U http://dx.doi.org/10.1103/physreve.85.010901 %V 85 %X 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.

@article{Ferreira2012Statistical, abstract = {{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.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {Ferreira, Ant\'{o}nio L. and Lipowska, Dorota and Lipowski, Adam}, biburl = {https://www.bibsonomy.org/bibtex/24083b4f4163c74a345d5cc8d3738a076/nonancourt}, citeulike-article-id = {10786254}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/physreve.85.010901}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRE/v85/i1/e010901}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRE/v85/i1/e010901}, doi = {10.1103/physreve.85.010901}, interhash = {f15d345d30621b5571a13d729cae9fc3}, intrahash = {4083b4f4163c74a345d5cc8d3738a076}, journal = {Physical Review E}, keywords = {cancer, lattice\_model}, month = jan, pages = {010901+}, posted-at = {2012-09-27 09:56:00}, priority = {2}, publisher = {American Physical Society}, timestamp = {2019-06-10T14:53:09.000+0200}, title = {{Statistical mechanics model of angiogenic tumor growth}}, url = {http://dx.doi.org/10.1103/physreve.85.010901}, volume = 85, year = 2012 }