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Related papers: Clonal Diversity at Cancer Recurrence

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We propose an extension of a standard stochastic individual-based model in population dynamics which broadens the range of biological applications. Our primary motivation is modelling of immunotherapy of malignant tumours. In this context…

Populations and Evolution · Quantitative Biology 2016-04-18 Martina Baar , Loren Coquille , Hannah Mayer , Michael Hölzel , Meri Rogava , Thomas Tüting , Anton Bovier

Tumours develop in an evolutionary process, in which the accumulation of mutations produces subpopulations of cells with distinct mutational profiles, called clones. This process leads to the genetic heterogeneity widely observed in tumour…

Applications · Statistics 2017-02-07 Francesco Marass , Florent Mouliere , Ke Yuan , Nitzan Rosenfeld , Florian Markowetz

Revealing the clonal composition of a single tumor is essential for identifying cell subpopulations with metastatic potential in primary tumors or with resistance to therapies in metastatic tumors. Sequencing technologies provide an…

Genomics · Quantitative Biology 2014-02-07 Francesco Strino , Fabio Parisi , Mariann Micsinai , Yuval Kluger

There is a widening recognition that cancer cells are products of complex developmental processes. Carcinogenesis and metastasis formation are increasingly described as systems-level, network phenomena. Here we propose that malignant…

Molecular Networks · Quantitative Biology 2013-09-18 David M. Gyurko , Daniel V. Veres , Dezso Modos , Katalin Lenti , Tamas Korcsmaros , Peter Csermely

The evolutionary dynamics of a system of cancerous cells in a model of chronic myeloid leukemia (CML) is investigated by a statistical approach. Cancer progression is explored by applying a Monte Carlo method to simulate the stochastic…

Populations and Evolution · Quantitative Biology 2009-11-13 Nicola Pizzolato , Davide Valenti , Dominique Persano Adorno , Bernardo Spagnolo

Cancer cell mutations occur when cells undergo multiple cell divisions, and these mutations can be spontaneous or environmentally-induced. The mechanisms that promote and sustain these mutations are still not fully understood. This study…

Dynamical Systems · Mathematics 2021-10-27 Maher Alwuthaynani , Raluca Eftimie , Dumitru Trucu

In cancer, treatment failure and disease recurrence have been associated with small subpopulations of cancer cells with a stem-like phenotype. In this paper, we develop and investigate a phenotype-structured model of solid tumour growth in…

Cell Behavior · Quantitative Biology 2021-01-15 Giulia L. Celora , Helen M. Byrne , Christos Zois , Panos G. Kevrekidis

Glioma is the most common form of primary brain tumor. Demographically, the risk of occurrence increases until old age. Here we present a novel computational model to reproduce the probability of glioma incidence across the lifespan.…

Cell Behavior · Quantitative Biology 2015-03-23 Roman Bauer , Marcus Kaiser , Elizabeth Stoll

The evolutionary and ecological dynamics of tumors under immune responses and therapeutic interventions pose major challenges to long-term treatment success. Although treatment may initially achieve short-term disease control, resistant…

Quantitative Methods · Quantitative Biology 2026-04-03 Nazanin Mokari , Bryce Morsky

Cancer is increasingly perceived as a systems-level, network phenomenon. The major trend of malignant transformation can be described as a two-phase process, where an initial increase of network plasticity is followed by a decrease of…

We propose a simple dynamic model of cancer development that captures carcinogenesis and subsequent cancer progression. A central idea of the model is to include the immune system as an extinction threshold, similar to the strong Allee…

Quantitative Methods · Quantitative Biology 2025-06-09 Frank Bastian , Hassan Alkhayuon , Kieran Mulchrone , Micheal O'Riordain , Sebastian Wieczorek

Genomic aberrations, such as somatic copy number alterations, are frequently observed in tumor tissue. Recurrent aberrations, occurring in the same region across multiple subjects, are of interest because they may highlight genes associated…

Statistics Theory · Mathematics 2014-03-11 Vonn Walter , Fred A. Wright , Andrew B. Nobel

Cancer is a term used to refer to a large set of diseases. The cancerous cells grow and divide and, as a result, they form tumours that grow in size. The immune system recognise the cancerous cells and attack them, though, it can be…

The study of high-throughput genomic profiles from a pharmacogenomics viewpoint has provided unprecedented insights into the oncogenic features modulating drug response. A recent screening of ~1,000 cancer cell lines to a collection of…

Mutations can arise from the chance misincorporation of nucleotides during DNA replication or from DNA lesions that are not repaired correctly. We introduce a model that relates the source of mutations to their accumulation with cell…

Populations and Evolution · Quantitative Biology 2015-07-27 Ziyue Gao , Minyoung J. Wyman , Guy Sella , Molly Przeworski

Studies of T cells and their clonally unique receptors have shown promise in elucidating the association between immune response and human disease. Methods to identify T-cell receptor clones which expand or contract in response to certain…

Methodology · Statistics 2025-02-10 David Swanson , Alexander Sherry , Chad Tang

One of the most challenging problems in microbiology is to understand how a small fraction of microbes that resists killing by antibiotics can emerge in a population of genetically identical cells, the phenomenon known as persistence or…

Subcellular Processes · Quantitative Biology 2015-06-17 Andrea Rocco , Andrzej M. Kierzek , Johnjoe McFadden

Most cancers in humans are large, measuring centimeters in diameter, composed of many billions of cells. An equivalent mass of normal cells would be highly heterogeneous as a result of the mutations that occur during each cell division.…

Populations and Evolution · Quantitative Biology 2016-02-17 Bartlomiej Waclaw , Ivana Bozic , Meredith E. Pittman , Ralph H. Hruban , Bert Vogelstein , Martin A. Nowak

Adaptive therapy is a promising paradigm for treating cancers, that exploits competitive interactions between drug-sensitive and drug-resistant cells, thereby avoiding or delaying treatment failure due to evolution of drug resistance within…

Populations and Evolution · Quantitative Biology 2024-09-12 Yuri G. Vilela , Artur C. Fassoni , Armando G. M. Neves

Cell competition is recognized to be instrumental to the dynamics and structure of the tumor-host interface in invasive cancers. In mild competition scenarios, the healthy tissue and cancer cells can coexist. When the competition is…

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