Spatial stochastic models for cancer initiation and progression - PubMed (original) (raw)
Spatial stochastic models for cancer initiation and progression
Natalia L Komarova. Bull Math Biol. 2006 Oct.
Abstract
The multistage carcinogenesis hypothesis has been formulated by a number of authors as a stochastic process. However, most previous models assumed "perfect mixing" in the population of cells, and included no information about spatial locations. In this work, we studied the role of spatial dynamics in carcinogenesis. We formulated a 1D spatial generalization of a constant population (Moran) birth-death process, and described the dynamics analytically. We found that in the spatial model, the probability of fixation of advantageous and disadvantageous mutants is lower, and the rate of generation of double-hit mutants (the so-called tunneling rate) is higher, compared to those for the space-free model. This means that the results previously obtained for space-free models give an underestimation for rates of cancer initiation in the case where the first event is the generation of a double-hit mutant, e.g. the inactivation of a tumor-suppressor gene.
Similar articles
- A fully continuous individual-based model of tumor cell evolution.
Gómez-Mourelo P, Sánchez E, Casasús L, Webb GF. Gómez-Mourelo P, et al. C R Biol. 2008 Nov;331(11):823-36. doi: 10.1016/j.crvi.2008.08.010. Epub 2008 Sep 27. C R Biol. 2008. PMID: 18940697 - Evolutionary dynamics on graphs.
Lieberman E, Hauert C, Nowak MA. Lieberman E, et al. Nature. 2005 Jan 20;433(7023):312-6. doi: 10.1038/nature03204. Nature. 2005. PMID: 15662424 - Stochastic modeling of cellular colonies with quiescence: an application to drug resistance in cancer.
Komarova NL, Wodarz D. Komarova NL, et al. Theor Popul Biol. 2007 Dec;72(4):523-38. doi: 10.1016/j.tpb.2007.08.003. Epub 2007 Aug 28. Theor Popul Biol. 2007. PMID: 17915274 - Computer simulation of cell growth governed by stochastic processes: application to clonal growth cancer models.
Conolly RB, Kimbell JS. Conolly RB, et al. Toxicol Appl Pharmacol. 1994 Feb;124(2):284-95. doi: 10.1006/taap.1994.1034. Toxicol Appl Pharmacol. 1994. PMID: 8122275 Review. - [Prevention of cancer and the dose-effect relationship: the carcinogenic effects of ionizing radiations].
Tubiana M. Tubiana M. Cancer Radiother. 2009 Jul;13(4):238-58. doi: 10.1016/j.canrad.2009.03.003. Epub 2009 Jun 17. Cancer Radiother. 2009. PMID: 19539515 Review. French.
Cited by
- Selection in spatial stochastic models of cancer: migration as a key modulator of fitness.
Thalhauser CJ, Lowengrub JS, Stupack D, Komarova NL. Thalhauser CJ, et al. Biol Direct. 2010 Apr 20;5:21. doi: 10.1186/1745-6150-5-21. Biol Direct. 2010. PMID: 20406439 Free PMC article. - Symmetric vs. asymmetric stem cell divisions: an adaptation against cancer?
Shahriyari L, Komarova NL. Shahriyari L, et al. PLoS One. 2013 Oct 29;8(10):e76195. doi: 10.1371/journal.pone.0076195. eCollection 2013. PLoS One. 2013. PMID: 24204602 Free PMC article. - Spatial interactions and cooperation can change the speed of evolution of complex phenotypes.
Komarova NL. Komarova NL. Proc Natl Acad Sci U S A. 2014 Jul 22;111 Suppl 3(Suppl 3):10789-95. doi: 10.1073/pnas.1400828111. Epub 2014 Jul 14. Proc Natl Acad Sci U S A. 2014. PMID: 25024187 Free PMC article. - Stochastic models for large interacting systems and related correlation inequalities.
Liggett TM. Liggett TM. Proc Natl Acad Sci U S A. 2010 Sep 21;107(38):16413-9. doi: 10.1073/pnas.1011270107. Epub 2010 Sep 8. Proc Natl Acad Sci U S A. 2010. PMID: 20826441 Free PMC article. - Amplifiers of selection for the Moran process with both Birth-death and death-Birth updating.
Svoboda J, Joshi S, Tkadlec J, Chatterjee K. Svoboda J, et al. PLoS Comput Biol. 2024 Mar 29;20(3):e1012008. doi: 10.1371/journal.pcbi.1012008. eCollection 2024 Mar. PLoS Comput Biol. 2024. PMID: 38551989 Free PMC article.
MeSH terms
LinkOut - more resources
Full Text Sources