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Intratumor heterogeneity (ITH), referring to coexistence of different cell subpopulations in a single tumor, has been a major puzzle in cancer research for almost half a century. The lack of understanding of the underlying mechanism of ITH…

种群与进化 · 定量生物学 2019-02-22 Xin Li , D. Thirumalai

In order to target threatening pathogens, the adaptive immune system performs a continuous reorganization of its lymphocyte repertoire. Following an immune challenge, the B cell repertoire can evolve cells of increased specificity for the…

种群与进化 · 定量生物学 2022-03-23 Victor Chardès , Massimo Vergassola , Aleksandra M. Walczak , Thierry Mora

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

Personalized cancer treatments based on the molecular profile of a patient's tumor are an emerging and exciting class of treatments in oncology. As genomic tumor profiling is becoming more common, targeted treatments to specific molecular…

Chemotaxis-driven invasions have been proposed across a broad spectrum of biological processes, from cancer to ecology. The influential system of equations introduced by Keller and Segel has proven a popular choice in the modelling of such…

种群与进化 · 定量生物学 2022-02-02 Tommaso Lorenzi , Kevin J Painter

Cancer development is a multistep process often starting with a single cell in which a number of epigenetic and genetic alterations have accumulated thus transforming it into a tumor cell. The progeny of such a single benign tumor cell…

组织与器官 · 定量生物学 2022-09-21 Steffen Lange , Richard Mogwitz , Denis Hünniger , Anja Voss-Böhme

Cellular immunotherapies are one of the mainstream cancer treatments unveiling the power of the patient's immune system to fight tumors. CAR T-cell therapy, based on genetically engineered T cells, has demonstrated significant potential in…

In this paper, we studied phase-space analysis of a certain mathematical model of tumor growth with an immune responses and chemotherapy therapy. Mathematical modelling of this process is viewed as a potentially powerful tool in the…

动力系统 · 数学 2018-03-15 Veli Shakhmurov , Akif Maharramov , Bunyad Shahmurzada

Cellular renewing active matter - assemblies of proliferating and apoptotic cells - underlies tissue homeostasis, morphogenesis, and clonal competition. Previous work in one-dimensional periodic systems identified a fitness advantage…

软凝聚态物质 · 物理学 2025-12-02 Patrick Zimmer , Philip Bittihn , Yoav G. Pollack

We study the effect of intratumor heterogeneity in the likelihood of cancer cells moving from a primary tumor to other sites in the human body, generating a metastatic process. We model different scenarios of competition between tumor cells…

种群与进化 · 定量生物学 2025-10-28 André Rocha , Claudia Manini , José I López , Annick Laruelle

One of the challenges in the design of confirmatory trials is to deal with uncertainties regarding the optimal target population for a novel drug. Adaptive enrichment designs (AED) which allow for a data-driven selection of one or more…

应用统计 · 统计学 2020-09-15 Anh Nguyen Duc , Dominik Heinzmann , Claude Berge , Marcel Wolbers

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…

Precision medicine stands as a transformative approach in healthcare, offering tailored treatments that can enhance patient outcomes and reduce healthcare costs. As understanding of complex disease improves, clinical trials are being…

统计方法学 · 统计学 2024-05-15 Lara Maleyeff , Shirin Golchi , Erica E. M. Moodie , Marie Hudson

In this paper we propose a systematic approach to construct mathematical models describing populations of cancer-cells at different stages of disease development. The methodology we propose is based on stochastic Concurrent Constraint…

计算工程、金融与科学 · 计算机科学 2011-09-08 Luca Bortolussi , Alberto Policriti

In a mathematical model of interacting biological organisms, where external interventions may alter behavior over time, traditional models that assume fixed parameters usually do not capture the evolving dynamics. In oncology, this is…

机器学习 · 计算机科学 2025-12-18 Kayode Olumoyin , Lamees El Naqa , Katarzyna Rejniak

Cancer is responsible for millions of deaths worldwide every year. Although significant progress has been achieved in cancer medicine, many issues remain to be addressed for improving cancer therapy. Appropriate cancer patient…

机器学习 · 计算机科学 2021-03-31 David Oniani , Chen Wang , Yiqing Zhao , Andrew Wen , Hongfang Liu , Feichen Shen

We investigate the evolution of tumor growth relying on a nonlinear model of partial differential equations which incorporates mechanical laws for tissue compression combined with rules for nutrients availability and drug application.…

数值分析 · 数学 2016-02-23 Konstantina Trivisa , Franziska Weber

We investigate the long-time dynamics and optimal control problem of a diffuse interface model that describes the growth of a tumor in presence of a nutrient and surrounded by host tissues. The state system consists of a Cahn-Hilliard type…

偏微分方程分析 · 数学 2023-07-28 Cecilia Cavaterra , Elisabetta Rocca , Hao Wu

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.…

种群与进化 · 定量生物学 2016-02-17 Bartlomiej Waclaw , Ivana Bozic , Meredith E. Pittman , Ralph H. Hruban , Bert Vogelstein , Martin A. Nowak

Lung cancer is a condition where there is abnormal growth of malignant cells that spread in an uncontrollable fashion in the lungs. Some common treatment strategies are surgery, chemotherapy, and radiation which aren't the best options due…

计算机视觉与模式识别 · 计算机科学 2026-03-18 Ann Rachel , Pranav M Pawar , Mithun Mukharjee , Raja M , Tojo Mathew