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Spatial structure increases the waiting time for cancer

Martens, Erik A. LU orcid ; Kostadinov, Rumen ; Maley, Carlo C. and Hallatschek, Oskar (2011) In New Journal of Physics 13.
Abstract

Cancer results from a sequence of genetic and epigenetic changes that lead to a variety of abnormal phenotypes including increased proliferation and survival of somatic cells and thus to a selective advantage of precancerous cells. The notion of cancer progression as an evolutionary process has been attracting increasing interest in recent years. A great deal of effort has been made to better understand and predict the progression to cancer using mathematical models; these mostly consider the evolution of a wellmixed cell population, even though pre-cancerous cells often evolve in highly structured epithelial tissues. In this study, we propose a novel model of cancer progression that considers a spatially structured cell population... (More)

Cancer results from a sequence of genetic and epigenetic changes that lead to a variety of abnormal phenotypes including increased proliferation and survival of somatic cells and thus to a selective advantage of precancerous cells. The notion of cancer progression as an evolutionary process has been attracting increasing interest in recent years. A great deal of effort has been made to better understand and predict the progression to cancer using mathematical models; these mostly consider the evolution of a wellmixed cell population, even though pre-cancerous cells often evolve in highly structured epithelial tissues. In this study, we propose a novel model of cancer progression that considers a spatially structured cell population where clones expand via adaptive waves. This model is used to assess two different paradigms of asexual evolution that have been suggested to delineate the process of cancer progression. The standard scenario of periodic selection assumes that driver mutations are accumulated strictly sequentially over time. However, when the mutation supply is sufficiently high, clones may arise simultaneously on distinct genetic backgrounds, and clonal adaptation waves interfere with each other. We find that in the presence of clonal interference, spatial structure increases the waiting time for cancer, leads to a patchwork structure of non-uniformly sized clones and decreases the survival probability of virtually neutral (passenger) mutations, and that genetic distance begins to increase over a characteristic length scale L c. These characteristic features of clonal interference may help us to predict the onset of cancers with pronounced spatial structure and to interpret spatially sampled genetic data obtained from biopsies. Our estimates suggest that clonal interference likely occurs in the progression of colon cancer and possibly other cancers where spatial structure matters.

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author
; ; and
publishing date
type
Contribution to journal
publication status
published
subject
in
New Journal of Physics
volume
13
article number
115014
publisher
IOP Publishing
external identifiers
  • scopus:83655197912
ISSN
1367-2630
DOI
10.1088/1367-2630/13/11/115014
language
English
LU publication?
no
additional info
Copyright: Copyright 2012 Elsevier B.V., All rights reserved.
id
295f6d4e-7521-45d7-9cc0-e018385f4cb6
date added to LUP
2021-03-19 21:29:14
date last changed
2022-02-02 10:59:12
@article{295f6d4e-7521-45d7-9cc0-e018385f4cb6,
  abstract     = {{<p>Cancer results from a sequence of genetic and epigenetic changes that lead to a variety of abnormal phenotypes including increased proliferation and survival of somatic cells and thus to a selective advantage of precancerous cells. The notion of cancer progression as an evolutionary process has been attracting increasing interest in recent years. A great deal of effort has been made to better understand and predict the progression to cancer using mathematical models; these mostly consider the evolution of a wellmixed cell population, even though pre-cancerous cells often evolve in highly structured epithelial tissues. In this study, we propose a novel model of cancer progression that considers a spatially structured cell population where clones expand via adaptive waves. This model is used to assess two different paradigms of asexual evolution that have been suggested to delineate the process of cancer progression. The standard scenario of periodic selection assumes that driver mutations are accumulated strictly sequentially over time. However, when the mutation supply is sufficiently high, clones may arise simultaneously on distinct genetic backgrounds, and clonal adaptation waves interfere with each other. We find that in the presence of clonal interference, spatial structure increases the waiting time for cancer, leads to a patchwork structure of non-uniformly sized clones and decreases the survival probability of virtually neutral (passenger) mutations, and that genetic distance begins to increase over a characteristic length scale L <sub>c</sub>. These characteristic features of clonal interference may help us to predict the onset of cancers with pronounced spatial structure and to interpret spatially sampled genetic data obtained from biopsies. Our estimates suggest that clonal interference likely occurs in the progression of colon cancer and possibly other cancers where spatial structure matters.</p>}},
  author       = {{Martens, Erik A. and Kostadinov, Rumen and Maley, Carlo C. and Hallatschek, Oskar}},
  issn         = {{1367-2630}},
  language     = {{eng}},
  publisher    = {{IOP Publishing}},
  series       = {{New Journal of Physics}},
  title        = {{Spatial structure increases the waiting time for cancer}},
  url          = {{http://dx.doi.org/10.1088/1367-2630/13/11/115014}},
  doi          = {{10.1088/1367-2630/13/11/115014}},
  volume       = {{13}},
  year         = {{2011}},
}