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We present a mathematical model, based on ordinary differential equations, for the evolution of solid tumors and their response to treatment. Specifically the effects of a cytotoxic agent and a monoclonal antibody are included as control…

Tissues and Organs · Quantitative Biology 2017-05-31 Valeria De Mattei , Franco Flandoli , Marta Leocata , Maria Cristina Polito , Cristiano Ricci

In this study, we focus on estimating the heterogeneous treatment effect (HTE) for survival outcome. The outcome is subject to censoring and the number of covariates is high-dimensional. We utilize data from both the randomized controlled…

Methodology · Statistics 2025-03-21 Xin Ye , Shu Yang , Xiaofei Wang , Yanyan Liu

Aim: This study investigates treatment response prediction to neoadjuvant chemotherapy (NACT) in breast cancer patients, using longitudinal contrast-enhanced magnetic resonance images (CE-MRI) and clinical data. The goal is to develop…

Image and Video Processing · Electrical Eng. & Systems 2025-12-22 Rahul Ravi , Ruizhe Li , Tarek Abdelfatah , Stephen Chan , Xin Chen

Methods for estimating heterogeneous treatment effect in observational data have largely focused on continuous or binary outcomes, and have been relatively less vetted with survival outcomes. Using flexible machine learning methods in the…

Applications · Statistics 2021-07-09 Liangyuan Hu , Jiayi Ji , Fan Li

Chimeric antigen receptor (CAR) T cell therapy has shown remarkable success in hematological malignancies, yet patient responses remain highly variable and the roles of CD4+ and CD8+ subsets are not fully understood. We present an extended…

Quantitative Methods · Quantitative Biology 2026-03-11 Saranya Varakunan , Melissa Stadt , Mohammad Kohandel

We present a mathematical model that describes how tumour heterogeneity evolves in a tissue slice that is oxygenated by a single blood vessel. Phenotype is identified with the stemness level of a cell, $s$, that determines its proliferative…

Cell Behavior · Quantitative Biology 2023-11-14 Giulia L. Celora , Helen M. Byrne , P. G. Kevrekidis

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…

Probability · Mathematics 2025-10-02 Kevin Leder , Zicheng Wang , Xuanming Zhang

A tumor can be thought of as an ecosystem, which critically means that we cannot just consider it as a collection of mutated cells but more as a complex system of many interacting cellular and microenvironmental elements. At its simplest, a…

Populations and Evolution · Quantitative Biology 2013-05-03 Jill Gallaher , Alexander R. A. Anderson

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…

Computer Vision and Pattern Recognition · Computer Science 2026-03-18 Ann Rachel , Pranav M Pawar , Mithun Mukharjee , Raja M , Tojo Mathew

Various approaches to increase efficiency of antitumor therapy by a combination of vaccinotherapy, chemotherapy and surgical excision of primary tumor nodes, and also the comparative analyses of therapeutic and preventive application of…

Other Quantitative Biology · Quantitative Biology 2011-10-14 I. V. Manina , N. M. Peretolchina , N. S. Saprikina , A. M. Kozlov , I. N. Mikhaylova , A. Yu. Barishnikov

The adaptive immune system is a natural diagnostic and therapeutic. It recognizes threats earlier than clinical symptoms manifest and neutralizes antigen with exquisite specificity. Recognition specificity and broad reactivity is enabled…

Quantitative Methods · Quantitative Biology 2019-07-26 Alex J. Brown , Igor Snapkov , Rahmad Akbar , Milena Pavlović , Enkelejda Miho , Geir K. Sandve , Victor Greiff

tBregs are a newly discovered subcategory of B regulatory cells, which are generated by breast cancer, resulting in the increase of Tregs and therefore in the death of NK cells. In this study, we use a mathematical and computational…

Dynamical Systems · Mathematics 2022-02-08 Vasiliki Bitsouni , Vasilis Tsilidis

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…

A fundamental model of tumor growth in the presence of cytotoxic chemotherapeutic agents is formulated. The model allows to study the role of the Norton-Simon hypothesis in the context of dose-dense chemotherapy. Dose-dense protocols aim at…

Populations and Evolution · Quantitative Biology 2018-12-05 Álvaro G. López , Kelly C. Iarosz , Antonio M. Batista , Jesús M. Seoane , Ricardo L. Viana , Miguel A. F. Sanjuán

An unprecedented number of new cancer targets are in development, and most are being developed in combination therapies. Early oncology development is strategically challenged in choosing the best combinations to move forward to late stage…

Applications · Statistics 2021-01-08 Linda Z. Sun , Cai , Wu , Xiaoyun , Li , Cong Chen , Emmett V. Schmidt

Cold atmospheric plasma (CAP) and plasma-treated liquids (PTLs) have recently become a promising option for cancer treatment, but the underlying mechanisms of the anti-cancer effect are still to a large extent unknown. Although hydrogen…

Molecular Networks · Quantitative Biology 2021-05-12 Charlotta Bengtson , Annemie Bogaerts

We have extended our previously developed 3D multi-scale agent-based brain tumor model to simulate cancer heterogeneity and to analyze its impact across the scales of interest. While our algorithm continues to employ an epidermal growth…

Tissues and Organs · Quantitative Biology 2010-03-23 Le Zhang , Costas G. Strouthos , Zhihui Wang , Thomas S. Deisboeck

The future of ART in head and neck cancer is just beginning. Novel technologies have pushed the boundary of what is possible in terms of techniques to identify biomarkers for adaptation as well as innovative devices specialized to respond…

There is evidence of synergy between radiotherapy and immunotherapy. Radiotherapy can increase liberation of tumor antigens, causing activation of antitumor T-cells. This effect can be boosted with immunotherapy. Radioimmunotherapy has…

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…

Populations and Evolution · Quantitative Biology 2019-02-22 Xin Li , D. Thirumalai