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Related papers: Clonal Diversity at Cancer Recurrence

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Mutation-induced drug resistance in cancer often causes the failure of therapies and cancer recurrence, despite an initial tumor reduction. The timing of such cancer recurrence is governed by a balance between several factors such as…

Probability · Mathematics 2013-07-22 Jasmine Foo , Kevin Leder

In this work, we investigate the population dynamics of tumor cells under therapeutic pressure. Although drug treatment initially induces a reduction in tumor burden, treatment failure frequently occurs over time due to the emergence of…

Probability · Mathematics 2025-10-02 Kevin Leder , Zicheng Wang , Xuanming Zhang

We study large deviation events in the timing of disease recurrence. In particular, we are interested in modeling cancer treatment failure due to mutation-induced drug resistance. We first present a two-type branching process model of this…

Probability · Mathematics 2021-08-06 Pranav Hanagal , Kevin Leder , Zicheng Wang

In this study, we develop consistent estimators for key parameters that govern the dynamics of tumor cell populations when subjected to pharmacological treatments. While these treatments often lead to an initial reduction in the abundance…

Applications · Statistics 2024-03-21 Kevin Leder , Ruping Sun , Zicheng Wang , Xuanming Zhang

A tumor often consists of multiple cell subpopulations (clones). Current chemo-treatments often target one clone of a tumor. Although the drug kills that clone, other clones overtake it and the tumor reoccurs. Genome sequencing and…

Molecular Networks · Quantitative Biology 2014-09-09 Edwin Wang , Jinfeng Zou , Naif Zaman , Lenore K. Beitel , Mark Trifiro , Miltiadis Paliouras

Tumor recurrence, driven by the evolution of drug resistance is a major barrier to therapeutic success in cancer. Resistance is often caused by genetic alterations such as point mutation, which refers to the modification of a single genomic…

Populations and Evolution · Quantitative Biology 2023-08-23 Aaron Li , Danika Kibby , Jasmine Foo

Recent experimental evidence suggests that acute myeloid leukemias may originate from multiple clones of malignant cells. Nevertheless it is not known how the observed clones may differ with respect to cell properties such as proliferation…

Tissues and Organs · Quantitative Biology 2014-10-07 Thomas Stiehl , Natalia Baran , Anthony D. Ho , Anna Marciniak-Czochra

Recently, there has been a resurgence of interest in rigorous algorithms for the inference of cancer progression from genomic data. The motivations are manifold: (i) growing NGS and single cell data from cancer patients, (ii) need for novel…

Machine Learning · Computer Science 2016-02-25 Daniele Ramazzotti

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

Adaptive therapy (AT) is designed to postpone the emergence of drug resistance by exploiting evolutionary competition among tumor subclones. Most mathematical models of AT assume a binary population structure of drug-sensitive and…

Populations and Evolution · Quantitative Biology 2026-05-19 Rui Yue , Chenghang Li , Jinzhi Lei

Resistance to therapy remains a significant challenge in cancer treatment, often due to the presence of a stem-like cell population that drives tumor recurrence post-treatment. Moreover, many anticancer therapies induce plasticity,…

Populations and Evolution · Quantitative Biology 2024-12-25 Chenyu Wu , Einar Bjarki Gunnarsson , Jasmine Foo , Kevin Leder

The majority of cancer treatments end in failure due to Intra-Tumor Heterogeneity (ITH). ITH in cancer is represented by clonal evolution where different sub-clones compete with each other for resources under conditions of Darwinian natural…

Recent progress in genetic techniques has shed light on the complex co-evolution of malignant cell clones in leukemias. However, several aspects of clonal selection still remain unclear. In this paper, we present a multi-compartmental…

Analysis of PDEs · Mathematics 2019-07-08 Tommaso Lorenzi , Anna Marciniak-Czochra , Thomas Stiehl

A major challenge for cancer pathologists is to determine whether a new tumor in a patient with cancer is a metastasis or an independent occurrence of the disease. In recent years numerous studies have evaluated pairs of tumor specimens to…

Applications · Statistics 2015-11-18 Irina Ostrovnaya , Venkatraman E. Seshan , Colin B. Begg

Cancer poses danger because of its unregulated growth, development of resistant subclones, and metastatic spread to vital organs. Although the major transitions in cancer development are increasingly well understood, we lack quantitative…

Populations and Evolution · Quantitative Biology 2014-08-27 Andrei R. Akhmetzhanov , Michael E. Hochberg

Objectives: In this study, we quantify the growth variability of tumour cell clones from a human leukemia cell line. Materials and methods: We have used microplate spectrophotometry to measure the growth kinetics of hundreds of individual…

Cell Behavior · Quantitative Biology 2007-05-23 C. Tomelleri , E. Milotti , C. Dalla Pellegrina , O. Perbellini , A. Del Fabbro , M. T. Scupoli , R. Chignola

Recent tumor genome sequencing confirmed that one tumor often consists of multiple cell subpopulations (clones) which bear different, but related, genetic profiles such as mutation and copy number variation profiles. Thus far, one tumor has…

Molecular Networks · Quantitative Biology 2014-09-09 Edwin Wang , Jinfeng Zou , Naif Zaman , Lenore K. Beitel , Mark Trifiro , Miltiadis Paliouras

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

Practically, all chemotherapeutic agents lead to drug resistance. Clinically, it is a challenge to determine whether resistance arises prior to, or as a result of, cancer therapy. Further, a number of different intracellular and…

Populations and Evolution · Quantitative Biology 2014-12-03 Jana L. Gevertz , Zahra Aminzare , Kerri-Ann Norton , Judith Perez-Velazquez , Alexandria Volkening , Katarzyna A. Rejniak

Tumors are defined by their intense proliferation, but sometimes cancer cells turn senescent and stop replicating. In the stochastic cancer model in which all cells are tumorigenic, senescence is seen as the result of random mutations,…

Tissues and Organs · Quantitative Biology 2013-08-29 Caterina A. M. La Porta , Stefano Zapperi , James P. Sethna
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