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Drug gradients are believed to play an important role in the evolution of bacteria resistant to antibiotics and tumors resistant to anti-cancer drugs. We use a statistical physics model to study the evolution of a population of malignant…

种群与进化 · 定量生物学 2015-06-04 Philip Greulich , Bartlomiej Waclaw , Rosalind J. Allen

Bacteria evolve resistance to antibiotics by a multitude of mechanisms. A central, yet unsolved question is how resistance evolution affects cell growth at different drug levels. Here we develop a fitness model that predicts growth rates of…

种群与进化 · 定量生物学 2020-07-03 Fernanda Pinheiro , Omar Warsi , Dan I. Andersson , Michael Lässig

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…

概率论 · 数学 2025-10-02 Kevin Leder , Zicheng Wang , Xuanming Zhang

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.…

概率论 · 数学 2010-07-15 Rick Durrett , Jasmine Foo , Kevin Leder , John Mayberry , Franziska Michor

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…

种群与进化 · 定量生物学 2022-04-19 Heyrim Cho , Doron Levy

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

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

Metastasis, the spread of cancer cells from a primary tumor to secondary location(s) in the human organism, is the ultimate cause of death for the majority of cancer patients. That is why, it is crucial to understand metastases evolution in…

种群与进化 · 定量生物学 2020-06-24 Maroussia Slavtchova-Bojkova , Kaloyan Vitanov

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…

种群与进化 · 定量生物学 2022-04-19 Heyrim Cho , Doron Levy

Acquired resistance is one of the major barriers to successful cancer therapy. The development of resistance is commonly attributed to genetic heterogeneity. However, heterogeneity of drug penetration of the tumor microenvironment both on…

种群与进化 · 定量生物学 2015-08-19 Feng Fu , Martin A. Nowak , Sebastian Bonhoeffer

The aim of this paper is to discuss the role of robustness and diversity in population dynamics in particular to some properties of the multi-step from healthy tissue to fully malignant tumours. Recent evidence shows that diversity within…

种群与进化 · 定量生物学 2010-03-12 Tomas Alarcon , Henrik Jeldtoft Jensen

Cellular differentiation and evolution are stochastic processes that can involve multiple types (or states) of particles moving on a complex, high-dimensional state-space or "fitness" landscape. Cells of each specific type can thus be…

种群与进化 · 定量生物学 2014-11-17 Tom Chou , Yu Wang

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

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…

种群与进化 · 定量生物学 2023-07-07 Michael D. Nicholson , David Cheek , Tibor Antal

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…

概率论 · 数学 2021-08-06 Pranav Hanagal , Kevin Leder , Zicheng Wang

Cellular populations such as avascular tumors and microbial biofilms may "invade" or grow into surrounding populations. The invading population is often comprised of a heterogeneous mixture of cells with varying growth rates. The population…

生物物理 · 物理学 2025-12-05 Clarisa Castillo , Maxim O. Lavrentovich

Rapid advance of experimental techniques provides an unprecedented in-depth view into complex developmental processes. Still, little is known on how the complexity of multicellular organisms evolved by elaborating developmental programs and…

分子网络 · 定量生物学 2021-07-16 Somya Mani , Tsvi Tlusty

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

The problem of unicellular-multicellular transition is one of the main issues that is discussing in evolutionary biology. In [1] the fitness of a colony of cells is considered in terms of its two basic components, viability and fecundity.…

种群与进化 · 定量生物学 2015-06-08 Fuad Aleskerov , Denis Tverskoy

An explicit solution for a general two-type birth-death branching process with one way mutation is presented. This continuous time process mimics the evolution of resistance to treatment, or the onset of an extra driver mutation during…

种群与进化 · 定量生物学 2012-04-20 Tibor Antal , P. L. Krapivsky
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