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相关论文: Waiting time models of cancer progression

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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…

种群与进化 · 定量生物学 2025-05-12 Ramon Diaz-Uriarte , Iain G. Johnston

Cancer is a complex disease and thus is complicated to model. However, simple models that describe the main processes involved in tumoral dynamics, e.g., competition and mutation, can give us clues about cancer behaviour, at least…

动力系统 · 数学 2014-11-25 V. Castillo , J. Tomas Lazaro , J. Sardanyes

Identifying genes underlying cancer development is critical to cancer biology and has important implications across prevention, diagnosis and treatment. Cancer sequencing studies aim at discovering genes with high frequencies of somatic…

应用统计 · 统计学 2013-12-09 Jie Ding , Lorenzo Trippa , Xiaogang Zhong , Giovanni Parmigiani

We present a general computational theory of cancer and its developmental dynamics. The theory is based on a theory of the architecture and function of developmental control networks which guide the formation of multicellular organisms.…

分子网络 · 定量生物学 2011-11-16 Eric Werner

Tumor development is an evolutionary process in which a heterogeneous population of cells with differential growth capabilities compete for resources in order to gain a proliferative advantage. What are the minimal ingredients needed to…

种群与进化 · 定量生物学 2016-01-19 Jeffrey West , Zaki Hasnain , Jeremy Mason , Paul K. Newton

Predictive modeling of the evolutionary dynamics of cancer is a challenge issue in computational cancer biology. In this paper, we propose a general mathematical model framework for the evolutionary dynamics of cancer with plasticity and…

细胞行为 · 定量生物学 2020-01-10 Jinzhi Lei

We aim to understand the evolution of the genetic composition of cancer cell populations. To achieve this, we consider an individual-based model representing a cell population where cells divide, die and mutate along the edges of a finite…

概率论 · 数学 2025-02-18 Vianney Brouard

We consider a model of a population of fixed size N in which each individual gets replaced at rate one and each individual experiences a mutation at rate \mu. We calculate the asymptotic distribution of the time that it takes before there…

概率论 · 数学 2010-05-20 Jason Schweinsberg

Cancer is a disease of cellular regulation, often initiated by genetic mutation within cells, and leading to a heterogeneous cell population within tissues. In the competition for nutrients and growth space within the tumors the phenotype…

种群与进化 · 定量生物学 2017-08-08 András Szabó , Roeland M. H. Merks

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…

种群与进化 · 定量生物学 2015-06-18 Christopher McFarland , Leonid Mirny , Kirill S. Korolev

In this work we present a flexible tool for tumor progression, which simulates the evolutionary dynamics of cancer. Tumor progression implements a multi-type branching process where the key parameters are the fitness landscape, the mutation…

种群与进化 · 定量生物学 2013-03-22 Johannes G. Reiter , Ivana Bozic , Krishnendu Chatterjee , Martin A. Nowak

The unwelcome evolution of malignancy during cancer progression emerges through a selection process in a complex heterogeneous population structure. In the present work, we investigate evolutionary dynamics in a phenotypically heterogeneous…

种群与进化 · 定量生物学 2018-02-07 Ali Mahdipour Shirayeh , Kamran Kaveh , Mohammad Kohandel , Siv Sivaloganathan

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…

概率论 · 数学 2013-07-22 Jasmine Foo , Kevin Leder

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…

种群与进化 · 定量生物学 2020-05-20 Chay Paterson

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…

种群与进化 · 定量生物学 2020-03-23 Yuri Kozitsky , Krzysztof Pilorz

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…

机器学习 · 计算机科学 2016-02-25 Daniele Ramazzotti

Resistance to chemotherapies, particularly to anticancer treatments, is an increasing medical concern. Among the many mechanisms at work in cancers, one of the most important is the selection of tumor cells expressing resistance genes or…

偏微分方程分析 · 数学 2012-07-05 Alexander Lorz , Tommaso Lorenzi , Michael E. Hochberg , Jean Clairambault , Benoit Perthame

Cancer progression is driven by a small number of genetic alterations accumulating in a neoplasm. These few driver alterations reside in a cancer genome alongside tens of thousands of other mutations that are widely believed to have no role…

种群与进化 · 定量生物学 2015-06-11 Christopher D McFarland , Gregory V Kryukov , Shamil Sunyaev , Leonid Mirny

Cancer has been characterized as a constellation of hundreds of diseases differing in underlying mutations and depending on cellular environments. Carcinogenesis as a stochastic physical process has been studied for over sixty years, but…

组织与器官 · 定量生物学 2015-06-02 Carson C. Chow , Yanjun Li , Vipul Periwal