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In a previous work, we presented a model that integrates cancer cell differentiation and immunotherapy, analysing a particular therapy against cancer stem cells by cytotoxic cell vaccines. As every biological system is exposed to random…

Biological Physics · Physics 2022-12-14 Marcela Reale , David Margarit , Ariel Scagliotti , Lilia Romanelli

Background: Radiotherapy outcomes are usually predicted using the Linear Quadratic model. However, this model does not integrate complex features of tumor growth, in particular cell cycle regulation. Methods: In this paper, we propose a…

Tissues and Organs · Quantitative Biology 2007-05-23 Benjamin Ribba , Thierry Colin , Santiago Schnell

In cancer, treatment failure and disease recurrence have been associated with small subpopulations of cancer cells with a stem-like phenotype. In this paper, we develop and investigate a phenotype-structured model of solid tumour growth in…

Cell Behavior · Quantitative Biology 2021-01-15 Giulia L. Celora , Helen M. Byrne , Christos Zois , Panos G. Kevrekidis

In this paper, we conduct a thorough mathematical analysis of a tumor growth model with treatments. The model is a system describing the evolution of metastatic tumors and the number of cells present in a primary tumor. The former evolution…

Analysis of PDEs · Mathematics 2022-05-25 Slah Eddin Ben Abdeljalil , Atef Ben Essid , Saloua Mani Aouadi

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…

Populations and Evolution · Quantitative Biology 2016-01-19 Jeffrey West , Zaki Hasnain , Jeremy Mason , Paul K. Newton

Cancer is a number of related yet highly heterogeneous diseases. Correct identification of cancer subtypes is critical for clinical decisions. The advance in sequencing technologies has made it possible to study cancer based on abundant…

Applications · Statistics 2018-11-27 Xiaochun Chen , Honggang Wang , Donghui Yan

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…

Populations and Evolution · Quantitative Biology 2013-03-22 Johannes G. Reiter , Ivana Bozic , Krishnendu Chatterjee , Martin A. Nowak

Personalized head and neck cancer therapeutics have greatly improved survival rates for patients, but are often leading to understudied long-lasting symptoms which affect quality of life. Sequential rule mining (SRM) is a promising…

Human-Computer Interaction · Computer Science 2023-09-28 Carla Floricel , Andrew Wentzel , Abdallah Mohamed , C. David Fuller , Guadalupe Canahuate , G. Elisabeta Marai

Multi-omics research has enhanced our understanding of cancer heterogeneity and progression. Investigating molecular data through multi-omics approaches is crucial for unraveling the complex biological mechanisms underlying cancer, thereby…

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…

Cell Behavior · Quantitative Biology 2020-01-10 Jinzhi Lei

High-throughput sequencing allows the detection and quantification of frequencies of somatic single nucleotide variants (SNV) in heterogeneous tumor cell populations. In some cases, the evolutionary history and population frequency of the…

Machine Learning · Computer Science 2013-11-05 Wei Jiao , Shankar Vembu , Amit G. Deshwar , Lincoln Stein , Quaid Morris

Single-cell technologies provide an unprecedented opportunity for dissecting the interplay between the cancer cells and the associated tumor microenvironment, and the produced high-dimensional omics data should also augment existing…

Methodology · Statistics 2025-10-07 Zhi Zhao , Fatih Kızılaslan , Shixiong Wang , Manuela Zucknick

In early-phase cancer clinical trials, the limited availability of data presents significant challenges in developing a framework to efficiently quantify treatment effectiveness. To address this, we propose a novel utility-based Bayesian…

Methodology · Statistics 2025-06-10 Saurabh Bhandari , Michael J. Daniels , Chenguang Wang

Adaptive therapy is a recent paradigm in cancer treatment aiming at indefinite, safe containment of the disease when cure is judged unattainable. In modeling this approach, inherent limitations arise due to the structure of the vector…

Dynamical Systems · Mathematics 2025-03-20 Frederik J. Thomsen , Johan L. A. Dubbeldam

Despite the remarkable advances in cancer diagnosis, treatment, and management that have occurred over the past decade, malignant tumors remain a major public health problem. Further progress in combating cancer may be enabled by…

Most human carcinomas exhibit telomere abnormalities early in the carcinogenesis process suggesting that crisis caused by telomere shortening may be a necessary event leading to human carcinomas. Epidemiological records of the age at which…

Tissues and Organs · Quantitative Biology 2007-05-23 Hermann B. Frieboes , James P. Brody

The emergence of a predominant phenotype within a cell population is often triggered by a rare accumulation of DNA mutations in a single cell. For example, tumors may be initiated by a single cell in which multiple mutations cooperate to…

Tissues and Organs · Quantitative Biology 2018-11-21 Philip Greulich , Benjamin D. Simons

Progress in our knowledge of tumor mechanisms and complexity led to the understanding of the physical parameters of cancer cells and their microenvironment, including the mechanical, thermal, and electrical properties, solid stress, and…

Populations of heterogeneous cells play an important role in many biological systems. In this paper we consider systems where each cell can be modelled by an ordinary differential equation. To account for heterogeneity, parameter values are…

Quantitative Methods · Quantitative Biology 2009-09-27 Steffen Waldherr , Jan Hasenauer , Frank Allgöwer

Phenotype-based screening has attracted much attention for identifying cell-active compounds. Transcriptional and proteomic profiles of cell population or single cells are informative phenotypic measures of cellular responses to…

Quantitative Methods · Quantitative Biology 2023-11-20 Wei Huang , Aichun Zhu , Hui Liu
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