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Related papers: Population dynamics of multiple ecDNA types

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In this review we summarize our recent efforts in trying to understand the role of heterogeneity in cancer progression by using neural networks to characterise different aspects of the mapping from a cancer cells genotype and environment to…

Tissues and Organs · Quantitative Biology 2014-04-29 Philip Gerlee , Eunjung Kim , Alexander R. A. Anderson

The evolution of various competing cell types in tissues, and the resulting persistent tissue population, is studied numerically and analytically in a particle-based model of active tissues. Mutations change the properties of cells in…

Populations and Evolution · Quantitative Biology 2024-06-03 Tobias Büscher , Nirmalendu Ganai , Gerhard Gompper , Jens Elgeti

The cellular phenotype is described by a complex network of molecular interactions. Elucidating network properties that distinguish disease from the healthy cellular state is therefore of critical importance for gaining systems-level…

Molecular Networks · Quantitative Biology 2012-11-22 James West , Ginestra Bianconi , Simone Severini , Andrew Teschendorff

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

Multidrug resistance consists of a series of genetic and epigenetic alternations that involve multifactorial and complex processes, which are a challenge to successful cancer treatments. Accompanied by advances in biotechnology and…

Populations and Evolution · Quantitative Biology 2022-04-19 Heyrim Cho , Doron Levy

Extrachromosomal circular DNA (eccDNA) plays key regulatory roles and contributes to oncogene overexpression in cancer through high-copy amplification and long-range interactions. Despite advances in modeling, no pre-trained models…

Genomics · Quantitative Biology 2025-06-25 Zhenke Liu , Jien Li , Ziqi Zhang

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

A fundamental feature of collective cell migration is phenotypic heterogeneity which, for example, influences tumour progression and relapse. While current mathematical models often consider discrete phenotypic structuring of the cell…

Cell Behavior · Quantitative Biology 2024-06-12 Rebecca M. Crossley , Kevin J. Painter , Tommaso Lorenzi , Philip K. Maini , Ruth E. Baker

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

Maintaining tissue homeostasis requires appropriate regulation of stem cell differentiation. The Waddington landscape posits that gene circuits in a cell form a potential landscape of different cell types, wherein cells follow attractors of…

Quantitative Methods · Quantitative Biology 2023-09-15 Rongsheng Huang , Qiaojun Situ , Jinzhi Lei

The significant role of epigenetic mechanisms within natural systems has become increasingly clear. This paper uses a recently presented abstract, tunable Boolean genetic regulatory network model to explore aspects of epigenetics. It is…

Neural and Evolutionary Computing · Computer Science 2013-06-21 Larry Bull

Motivation: Epigenetic heterogeneity within a tumour can play an important role in tumour evolution and the emergence of resistance to treatment. It is increasingly recognised that the study of DNA methylation (DNAm) patterns along the…

Quantitative Methods · Quantitative Biology 2017-02-21 James E. Barrett , Andrew Feber , Javier Herrero , Miljana Tanic , Gareth Wilson , Charles Swanton , Stephan Beck

Recent studies at individual cell resolution have revealed phenotypic heterogeneity in nominally clonal tumor cell populations. The heterogeneity affects cell growth behaviors, which can result in departure from the idealized uniform…

Populations and Evolution · Quantitative Biology 2023-10-20 Yue Wang , Joseph X. Zhou , Edoardo Pedrini , Irit Rubin , May Khalil , Roberto Taramelli , Hong Qian , Sui Huang

Motivation: Driver (epi)genomic alterations underlie the positive selection of cancer subpopulations, which promotes drug resistance and relapse. Even though substantial heterogeneity is witnessed in most cancer types, mutation accumulation…

Heterogeneity is a hallmark of all cancers. Tumor heterogeneity is found at different levels -- interpatient, intrapatient, and intratumor heterogeneity. All of them pose challenges for clinical treatments. The latter two scenarios can also…

Soft Condensed Matter · Physics 2020-04-03 Xin Li , D. Thirumalai

In this survey article, a variety of systems modeling tumor growth are discussed. In accordance with the hallmarks of cancer, the described models incorporate the primary characteristics of cancer evolution. Specifically, we focus on…

Dynamical Systems · Mathematics 2023-03-21 Marvin Fritz

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

The genetic instructions stored in the genome require an additional layer of information to robustly determine cell fate. This additional regulation is provided by the interplay between chromosome-patterning biochemical ("epigenetic") marks…

Soft Condensed Matter · Physics 2019-12-04 Davide Coli , Davide Michieletto , Davide Marenduzzo , Enzo Orlandini

Mining gene expression profiles has proven valuable for identifying signatures serving as surrogates of cancer phenotypes. However, the similarities of such signatures across different cancer types have not been strong enough to conclude…

Genomics · Quantitative Biology 2020-01-01 Yingcheng Sun , Xiangru Liang , Kenneth Loparo

Individual cells exhibit specific proliferative responses to changes in microenvironmental conditions. Whether such potential is constrained by the cell density throughout the growth process is however unclear. Here, we identify a…