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Comparative studies of cancer-related genes allow us to gain novel information about the evolution and function of these genes, but also to understand cancer as a driving force in biological systems and species life histories. So far,…

Populations and Evolution · Quantitative Biology 2021-12-15 Ciara Baines , Richard Meitern , Randel Kreitsberg , Tuul Sepp

Histopathological evidence supports the idea that the emergence of phenotypic heterogeneity and resistance to cytotoxic drugs can be considered as a process of adaptation, or evolution, in tumor cell populations. In this framework, can we…

Tissues and Organs · Quantitative Biology 2013-12-24 Alexander Lorz , Tommaso Lorenzi , Jean Clairambault , Alexandre Escargueil , Benoît Perthame

Initiation and development of a malignant tumor is a complex phenomenon that has critical stages determining its long time behavior. This phenomenon is mathematically described by means of various models: from simple heuristic models to…

Populations and Evolution · Quantitative Biology 2020-03-23 Yuri Kozitsky , Krzysztof Pilorz

We consider an exponentially growing population of cells undergoing mutations and ask about the effect of reproductive fluctuations (genetic drift) on its long-term evolution. We combine first step analysis with the stochastic dynamics of a…

Populations and Evolution · Quantitative Biology 2022-03-14 Arman Angaji , Christoph Velling , Johannes Berg

Two important problems affect the ability of asexual populations to accumulate beneficial mutations, and hence to adapt. First, clonal interference causes some beneficial mutations to be outcompeted by more-fit mutations which occur in the…

Populations and Evolution · Quantitative Biology 2008-04-08 Craig A. Fogle , James L. Nagle , Michael M. Desai

Phenotypic heterogeneity in cancer cells is widely observed and is often linked to drug resistance. In several cases, such heterogeneity in drug sensitivity of tumors is driven by stochastic and reversible acquisition of a drug tolerant…

Molecular Networks · Quantitative Biology 2019-01-28 Niraj Kumar , Gwendolyn M. Cramer , Seyed Alireza Zamani Dahaj , Bala Sundaram , Jonathan P. Celli , Rahul V. Kulkarni

RNA virus populations will undergo processes of mutation and selection resulting in a mixed population of viral particles. High throughput sequencing of a viral population subsequently contains a mixed signal of the underlying clones. We…

Populations and Evolution · Quantitative Biology 2014-07-31 Donatien Fotso-Chedom , Pablo R. Murcia , Chris D. Greenman

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

It is increasingly common clinically for cancer specimens to be examined using techniques that identify somatic mutations. In principle these mutational profiles can be used to diagnose the tissue of origin, a critical task for the 3-5% of…

Methodology · Statistics 2020-07-14 Saptarshi Chakraborty , Colin B. Begg , Ronglai Shen

The evolution of the adaptive immune system is characterized by changes in the relative abundances of the B- and T-cell clones that make up its repertoires. To fully capture this evolution, we need to describe the complex dynamics of the…

Populations and Evolution · Quantitative Biology 2017-03-02 Jonathan Desponds , Andreas Mayer , Thierry Mora , Aleksandra M. Walczak

Melanoma is a type of skin cancer developed from melanocytes. It is one of the most lethal types of cancer, accounting for approximately 75% of skin cancer deaths. Late stage melanoma is very difficult to treat, since the cancer cells are…

Quantitative Methods · Quantitative Biology 2018-11-28 Xue Teng , Fuad Gwadry , Haley McConkey , Scott Ernst , Femida Gwadry-Sridhar

Background: A fundamental problem in cancer research is identifying the cell type that is capable of sustaining neoplastic growth and its origin from normal tissue cells. Recent investigations of a variety of tumor types have shown that…

Tumor cell populations can be thought of as being composed of homogeneous cell subpopulations, with each subpopulation being characterized by overlapping sets of single nucleotide variants (SNVs). Such subpopulations are known as subclones…

Applications · Statistics 2019-05-02 Tianjian Zhou , Peter Mueller , Subhajit Sengupta , Yuan Ji

Biological living systems in general exhibit complex and diverse dynamics. The latter, in particular, is essential, since diversification increases the odds of survival of an organism while reducing the risk of extinction of the population.…

Probability · Mathematics 2022-08-19 Sandesh Athni Hiremath

Cancer evolves continuously over time through a complex interplay of genetic, epigenetic, microenvironmental, and phenotypic changes. This dynamic behavior drives uncontrolled cell growth, metastasis, immune evasion, and therapy resistance,…

Quantitative Methods · Quantitative Biology 2025-07-08 Luoting Zhuang , Stephen H. Park , Steven J. Skates , Ashley E. Prosper , Denise R. Aberle , William Hsu

Drug resistance and metastasis - the major complications in cancer - both entail adaptation of cancer cells to stress, whether a drug or a lethal new environment. Intriguingly, these adaptive processes share similar features that cannot be…

Molecular Networks · Quantitative Biology 2021-09-28 Aseel Shomar , Omri Barak , Naama Brenner

According to the National Cancer Institute, there were 9.5 million cancer-related deaths in 2018. A challenge in improving treatment is resistance in genetically unstable cells. The purpose of this study is to evaluate unsupervised machine…

Genomics · Quantitative Biology 2021-08-12 Anastasia Dunca , Frederick R. Adler

Cancer has become one of the most widespread diseases in the world. Specifically, breast cancer is diagnosed more often than any other type of cancer. However, breast cancer patients and their individual tumors are often unique. Identifying…

Quantitative Methods · Quantitative Biology 2016-12-06 Chenzhe Qian

Clemmesen's hook refers to a commonly observed slowdown and rebound in breast cancer incidence around the age at menopause. It suggests a shift in the underlying carcinogenic dynamics, but the mechanistic basis remains poorly understood.…

Populations and Evolution · Quantitative Biology 2025-11-26 Navid Mohammad Mirzaei , Wan Yang

Stochastic models of sequential mutation acquisition are widely used to quantify cancer and bacterial evolution. Across manifold scenarios, recurrent research questions are: how many cells are there with $n$ alterations, and how long will…

Populations and Evolution · Quantitative Biology 2023-07-07 Michael D. Nicholson , David Cheek , Tibor Antal