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Cancer progression is an example of a rapid adaptive process where evolving new traits is essential for survival and requires a high mutation rate. Precancerous cells acquire a few key mutations that drive rapid population growth and…

Populations and Evolution · Quantitative Biology 2015-06-18 Christopher McFarland , Leonid Mirny , Kirill S. Korolev

Most new mutations are deleterious and are eventually eliminated by natural selection. But in an adapting population, the rapid amplification of beneficial mutations can hinder the removal of deleterious variants in nearby regions of the…

Populations and Evolution · Quantitative Biology 2014-05-16 Benjamin H Good , Michael M Desai

Research into somatic mutations in cancer cell DNA and their role in tumour growth and progression between successive stages is crucial for improving our understanding of cancer evolution. Mathematical and computer modelling can provide…

Populations and Evolution · Quantitative Biology 2024-02-26 Andrzej Polanski , Mateusz Kania , Jarosław Gil , Wojciech Łabaj , Ewa Lach , Agnieszka Szczęsna

Major efforts to sequence cancer genomes are now occurring throughout the world. Though the emerging data from these studies are illuminating, their reconciliation with epidemiologic and clinical observations poses a major challenge. In the…

Populations and Evolution · Quantitative Biology 2010-11-18 Ivana Bozic , Tibor Antal , Hisashi Ohtsuki , Hannah Carter , Dewey Kim , Sining Chen , Rachel Karchin , Kenneth W. Kinzler , Bert Vogelstein , Martin A. Nowak

We investigate the dynamics of cancer initiation in a mathematical model with one driver mutation and several passenger mutations. Our analysis is based on a multi type branching process: We model individual cells which can either divide or…

Populations and Evolution · Quantitative Biology 2015-04-14 Benedikt Bauer , Reiner Siebert , Arne Traulsen

Recent works have stressed the important role that random mutations have in the development of cancer phenotype. We challenge this current view by means of bioinformatic data analysis and computational modelling approaches. Not all the…

Cell Behavior · Quantitative Biology 2017-06-28 Gianluca Ascolani , Pietro Lió

In order to analyze data from cancer genome sequencing projects, we need to be able to distinguish causative, or "driver," mutations from "passenger" mutations that have no selective effect. Toward this end, we prove results concerning the…

Populations and Evolution · Quantitative Biology 2013-02-13 Rick Durrett

The pathogenesis of cancer in human is still poorly understood. With the rapid development of high-throughput sequencing technologies, huge volumes of cancer genomics data have been generated. Deciphering those data poses great…

Genomics · Quantitative Biology 2016-04-06 Junhua Zhang , Shihua Zhang

Cancer progression is an evolutionary process that is driven by mutation and selection in a population of tumor cells. We discuss mathematical models of cancer progression, starting from traditional multistage theory. Each stage is…

Populations and Evolution · Quantitative Biology 2011-08-31 Moritz Gerstung , Niko Beerenwinkel

Most human tumors result from the accumulation of multiple genetic and epigenetic alterations in a single cell. Mutations that confer a fitness advantage to the cell are known as driver mutations and are causally related to tumorigenesis.…

Probability · Mathematics 2010-07-15 Rick Durrett , Jasmine Foo , Kevin Leder , John Mayberry , Franziska Michor

In cancer genomics, it is of great importance to distinguish driver mutations, which contribute to cancer progression, from causally neutral passenger mutations. We propose a random-effect regression approach to estimate the effects of…

Methodology · Statistics 2023-06-30 Kin Yau Wong , Donglin Zeng , D. Y. Lin

Cancer results from a sequence of genetic and epigenetic changes which lead to a variety of abnormal phenotypes including increased proliferation and survival of somatic cells, and thus, to a selective advantage of pre-cancerous cells. The…

Populations and Evolution · Quantitative Biology 2011-12-05 Erik A. Martens , R. Kostadinov , Carlo C. Maley , Oskar Hallatschek

Cancer results from genetic alterations that disturb the normal cooperative behavior of cells. Recent high-throughput genomic studies of cancer cells have shown that the mutational landscape of cancer is complex and that individual cancers…

Populations and Evolution · Quantitative Biology 2011-11-10 Niko Beerenwinkel , Tibor Antal , David Dingli , Arne Traulsen , Kenneth W. Kinzler , Victor E. Velculescu , Bert Vogelstein , Martin A. Nowak

Cancer progression and monotonic accumulation models were developed to discover dependencies in the irreversible acquisition of binary traits from cross-sectional data. They have been used in computational oncology and virology but also in…

Populations and Evolution · Quantitative Biology 2025-05-12 Ramon Diaz-Uriarte , Iain G. Johnston

Identifying the mutations that drive cancer growth is key in clinical decision making and precision oncology. As driver mutations confer selective advantage and thus have an increased likelihood of occurrence, frequency-based statistical…

Genomics · Quantitative Biology 2021-05-04 Adnan Akbar , Andrey Solovyev , John W Cassidy , Nirmesh Patel , Harry W Clifford

Cancer is viewed as a multistep process whereby a normal cell is transformed into a cancer cell through the acquisition of mutations. We reduce the complexities of cancer progression to a simple set of underlying rules that govern the…

Cell Behavior · Quantitative Biology 2007-05-23 Sabrina L. Spencer , Matthew J. Berryman , Jose A. Garcia , Derek Abbott

Distinguishing the rare "driver" mutations that fuel cancer progression from the vast background of "passenger" mutations in the non-coding genome is a fundamental challenge in cancer biology. A primary mechanism that non-coding driver…

Genomics · Quantitative Biology 2025-10-01 David Laub , Ethan Armand , Arda Pekis , Zekai Chen , Irsyad Adam , Shaun Porwal , Bing Ren , Kevin Brown , Hannah Carter

In this thesis we develop minimal models of the relationship between motility, growth, and evolution of cancer cells. We utilise simple simulations of a population of individual cells in space to examine how changes in mechanical properties…

Populations and Evolution · Quantitative Biology 2020-05-20 Chay Paterson

We investigate the effect of spatial range expansions on the evolution of fitness when beneficial and deleterious mutations co-segregate. We perform individual-based simulations of a uniform linear habitat and complement them with…

Populations and Evolution · Quantitative Biology 2013-06-10 Stephan Peischl , Isabelle Dupanloup , Mark Kirkpatrick , Laurent Excoffier
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