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相关论文: Clonal selection and therapy resistance in acute l…

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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…

偏微分方程分析 · 数学 2019-07-08 Tommaso Lorenzi , Anna Marciniak-Czochra , Thomas Stiehl

Self-renewal is a constitutive property of stem cells. Testing the cancer stem cell hypothesis requires investigation of the impact of self-renewal on cancer expansion. To understand better this impact, we propose a mathematical model…

经典分析与常微分方程 · 数学 2016-01-12 Jan-Erik Busse , Piotr Gwiazda , Anna Marciniak-Czochra

Despite initial success, cancer therapies often fail due to the emergence of drug-resistant cells. In this study, we use a mathematical model to investigate how cancer evolves over time, specifically focusing on the state of the tumor when…

概率论 · 数学 2023-08-01 Kevin Leder , Zicheng Wang

This study presents a mathematical model describing cloned hematopoiesis in chronic myeloid leukemia (CML) through a nonlinear system of differential equations. The primary objective is to understand the progression from healthy…

动力系统 · 数学 2025-11-06 Lorand Gabriel Parajdi , Xue Bai , David Kegyes , Ciprian Tomuleasa

Acute Lymphoblastic Leukemia (ALL) accounts for the 80% of leukemias when coming down to pediatric ages. Survival of these patients has increased by a considerable amount in recent years. However, around 15-20% of treatments are…

For the model of periodic chronic myelogenous leukemia considered by Pujo-Menjouet, Mackey et al., model consisting of two delay differential equations, the equation for the density of so-called "resting cells" was studied from numerical…

动力系统 · 数学 2014-04-11 Anca Veronica Ion

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

A key aim of systems biology is the reconstruction of molecular networks, however we do not yet have networks that integrate information from all datasets available for a particular clinical condition. This is in part due to the limited…

We investigate a partial differential equation model of a cancer cell population, which is structured with respect to age and telomere length of cells. We assume a continuous telomere length structure, which is applicable to the clonal…

偏微分方程分析 · 数学 2019-03-06 József Z. Farkas , Glenn F. Webb

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…

种群与进化 · 定量生物学 2009-11-13 Nicola Pizzolato , Davide Valenti , Dominique Persano Adorno , Bernardo Spagnolo

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

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…

分子网络 · 定量生物学 2014-09-09 Edwin Wang , Jinfeng Zou , Naif Zaman , Lenore K. Beitel , Mark Trifiro , Miltiadis Paliouras

Stem cells are characterized by their ability to self-renew, as well as to differentiate and give rise to new populations of cells. Stem cell divisions are crucial for generative processes that occur during early development, and later in…

应用统计 · 统计学 2025-08-29 Haim Bar , Huyen Nguyen , Joanne Conover

In oncology, recurrence after treatment is one of the major challenges, related to patients' survival and quality of life. Conventionally, prediction of cancer relapse has always relied on clinical observation with statistical model…

机器学习 · 计算机科学 2025-02-25 Muhammad Umer Qayyum , Muhammad Fahad , Nasrullah Abbasi

Most neoplastic tumors originate from a single cell, and their evolution can be genetically traced through lineages characterized by common alterations such as small somatic mutations (SSMs), copy number alterations (CNAs), structural…

基因组学 · 定量生物学 2024-02-16 Jiaying Lai , Yunzhou Liu , Robert B. Scharpf , Rachel Karchin

We present a three-stage probabilistic model for the progression of Chronic Myeloid Leukemia (CML), as manifested by the leukemic stem cells, progenitor cells and mature leukemic cells. This progression is captured through the process of…

种群与进化 · 定量生物学 2022-04-25 Sonjoy Pan , Siddhartha P. Chakrabarty , Soumyendu Raha

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…

应用统计 · 统计学 2017-02-07 Francesco Marass , Florent Mouliere , Ke Yuan , Nitzan Rosenfeld , Florian Markowetz

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…

种群与进化 · 定量生物学 2023-08-23 Aaron Li , Danika Kibby , Jasmine Foo

Cancer progresses with a change in the structure of the gene network in normal cells. We define a measure of organizational hierarchy in gene networks of affected cells in adult acute myeloid leukemia (AML) patients. With a retrospective…

组织与器官 · 定量生物学 2015-06-23 Shubham Tripathi , Michael W. Deem

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…

应用统计 · 统计学 2024-03-21 Kevin Leder , Ruping Sun , Zicheng Wang , Xuanming Zhang
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