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The antibody repertoire of each individual is continuously updated by the evolutionary process of B cell receptor mutation and selection. It has recently become possible to gain detailed information concerning this process through…

Populations and Evolution · Quantitative Biology 2015-05-11 Connor O. McCoy , Trevor Bedford , Vladimir N. Minin , Philip Bradley , Harlan Robins , Frederick A. Matsen

Density dependence is important in the ecology and evolution of microbial and cancer cells. Typically, we can only measure net growth rates, but the underlying density-dependent mechanisms that give rise to the observed dynamics can…

Populations and Evolution · Quantitative Biology 2025-06-04 Linh Huynh , Jacob G. Scott , Peter J. Thomas

Complex data features, such as unmodelled censored event times and variables with time-dependent effects, are common in cancer recurrence studies and pose challenges for Bayesian survival modelling. Current methodologies for predictive…

Methodology · Statistics 2026-01-12 Saku Suorsa , Aki Vehtari

The vast amount of sequencing data presently available allow the scientific community to explore a range of genetic variables that may drive and progress cancer. A myriad of predictive tools has been proposed, allowing researchers and…

Genomics · Quantitative Biology 2023-03-31 Mona Nourbakhsh , Kristine Degn , Astrid Saksager , Matteo Tiberti , Elena Papaleo

This research presents a mathematical model of glioma growth dynamics with drug resistance, capturing interactions among five cell populations: glial cells, sensitive glioma cells, resistant glioma cells, endothelial cells, and neuron…

Dynamical Systems · Mathematics 2023-08-23 Latifah Hanum , Nanang Susyanto , Dwi Ertiningsih

Purpose. Patients with advanced cancer may undergo multiple lines of treatment, switching therapies as their disease progresses. Motivated by a study of metastatic prostate cancer, we develop a microsimulation framework to study therapy…

Predicting cancer dynamics under treatment is challenging due to high inter-patient heterogeneity, lack of predictive biomarkers, and sparse and noisy longitudinal data. Mathematical models can summarize cancer dynamics by a few…

Quantitative Methods · Quantitative Biology 2024-05-24 Even Moa Myklebust , Arnoldo Frigessi , Fredrik Schjesvold , Jasmine Foo , Kevin Leder , Alvaro Köhn-Luque

Informed selection of drug candidates for laboratory experimentation provides an efficient means of identifying suitable anti-cancer treatments. The advancement of artificial intelligence has led to the development of computational models…

We formulate and analyze a mathematical model describing immune response to avascular tumor under the influence of immunotherapy and chemotherapy and their combinations as well as vaccine treatments. The effect of vaccine therapy is…

Cell Behavior · Quantitative Biology 2008-10-15 O. G. Isaeva , V. A. Osipov

Many kinase inhibitors have been approved as cancer therapies. Recently, libraries of kinase inhibitors have been extensively profiled, thus providing a map of the strength of action of each compound on a large number of its targets. These…

Quantitative Methods · Quantitative Biology 2014-07-29 Trish Tran , Edison Ong , Andrew P. Hodges , Giovanni Paternostro , Carlo Piermarocchi

We deal with a small enough tumor section to consider it homogeneous, such that populations of lymphocytes and cancer cells are independent of spatial coordinates. A stochastic model based in one step processes is developed to take into…

Survival models are used in various fields, such as the development of cancer treatment protocols. Although many statistical and machine learning models have been proposed to achieve accurate survival predictions, little attention has been…

Machine Learning · Computer Science 2020-03-26 Hrushikesh Loya , Pranav Poduval , Deepak Anand , Neeraj Kumar , Amit Sethi

Targeted therapies on the basis of genomic aberrations analysis of the tumor have shown promising results in cancer prognosis and treatment. Regardless of tumor type, trials that match patients to targeted therapies for their particular…

Applications · Statistics 2018-04-18 Yanxun Xu , Peter Mueller , Apostolia M Tsimberidou , Donald Berry

Sequential multiple assignment randomized trials (SMARTs) provide a systematic framework for constructing and evaluating dynamic treatment regimens (DTRs). In clinical studies, longitudinal biomarkers are routinely collected to monitor…

Methodology · Statistics 2026-05-06 Zhengxi Chen , Holly Hartman

Following antigen stimulation, the net outcomes of a T cell response are shaped by integrated signals from both positive co-stimulatory and negative regulatory molecules. Recently, the blockade of negative regulatory molecules (i.e. immune…

Cell Behavior · Quantitative Biology 2017-09-19 Haidong Dong , Yiyi Yan , Roxana S. Dronca , Svetomir N. Markovic

In clinical trials, an experimental treatment is sometimes added on to a standard of care or control therapy in multiple treatment phases (e.g., concomitant and maintenance phases) to improve patient outcomes. When the new regimen provides…

Methodology · Statistics 2020-11-19 Sudipta Bhattacharya , Jyotirmoy Dey

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

Since the discovery of a cancer initiating side population in solid tumours, studies focussing on the role of so-called cancer stem cells in cancer initiation and progression have abounded. The biological interrogation of these cells has…

Tissues and Organs · Quantitative Biology 2013-08-22 Jacob G. Scott , Prakash Chinnaiyan , Alexander R. A. Anderson , Anita Hjelmeland , David Basanta

In this paper, a reaction-diffusion system modeling injection of a chemotherapeutic drug on the surface of a living tissue during a treatment for cancer patients is studied. The system describes the interaction of the chemotherapeutic drug…

Analysis of PDEs · Mathematics 2024-08-20 Jeff Morgan , Bao Quoc Tang , Hong-Ming Yin

Cancer patients may undergo lengthy and painful chemotherapy treatments, comprising several successive regimens or plans. Treatment inefficacy and other adverse events can lead to discontinuation (or failure) of these plans, or prematurely…

Quantitative Methods · Quantitative Biology 2025-12-15 Muhammad Usamah Shahid , Muddassar Farooq