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We present a model for the interaction dynamics of lymphocytes-tumor cells population. This model reproduces all known states for the tumor. Futherly,we develop it taking into account periodical immunotheraphy treatment with cytokines…

Mathematical Physics · Physics 2009-11-07 O. Sotolongo-Costa , L. Morales Molina , D. Rodriguez Perez , J. C. Antoranz , M. Chacon Reyes

Progress in immunotherapy revolutionized the treatment landscape for advanced lung cancer, raising survival expectations beyond those that were historically anticipated with this disease. In the present study, we describe the methods for…

Applications · Statistics 2019-11-25 Lizet Sanchez , Patricia Lorenzo-Luaces , Claudia Fonte , Agustin Lage

We introduce a novel data-driven framework for the design of targeted gene panels for estimating exome-wide biomarkers in cancer immunotherapy. Our first goal is to develop a generative model for the profile of mutation across the exome,…

Genomics · Quantitative Biology 2022-02-04 Jacob R. Bradley , Timothy I. Cannings

We present a new mathematical model of colorectal cancer growth and its response to monoclonal-antibody (mAb) therapy. Although promising, most mAb drugs are still in trial phases, and the possible variations in the dosing schedules of…

Cell Behavior · Quantitative Biology 2013-12-12 L. G. dePillis , H. Savage , A. E. Radunskaya

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 tumour microenvironment plays a fundamental role in understanding the development and progression of cancer. This paper proposes a novel spatial point process model that accounts for inhomogeneity and interaction to flexibly model a…

Applications · Statistics 2023-07-13 Jonatan A. González , Paula Moraga

We introduce a set of ordinary differential equations (ODE) that qualitatively reproduces delayed responses observed in immune checkpoint blockade therapy (e.g. anti-CTLA-4 Ipilimumab). This type of immunotherapy has been at the forefront…

Dynamical Systems · Mathematics 2021-10-07 Collin Y. Zheng , Peter S. Kim

Background: Radiogenomics allows identification of radiological biomarkers for genomic phenotypes. In glioblastoma, these biomarkers could potentially complement patient stratification strategies. We aim to develop and analytically validate…

Machine Learning · Computer Science 2026-05-12 Prajwal Ghimire , Junjie Li , Liu Yaou , Marc Modat , Thomas Booth

In this paper, we adapt a two-species agent-based cancer model that describes the interaction between cancer cells and healthy cells on a uniform grid to include the interaction with a third species -- namely immune cells. We run six…

The accurate prognosis of Glioblastoma Multiforme (GBM) plays an essential role in planning correlated surgeries and treatments. The conventional models of survival prediction rely on radiomic features using magnetic resonance imaging…

Image and Video Processing · Electrical Eng. & Systems 2021-05-03 Mobarakol Islam , Navodini Wijethilake , Hongliang Ren

Patient-derived cells (PDC) mouse xenografts are increasingly important tools in glioblastoma (GBM) research, essential to investigate case-specific growth patterns and treatment responses. Despite the central role of xenograft models in…

Quantitative Methods · Quantitative Biology 2024-03-15 Adam A. Malik , Cecilia Krona , Soumi Kundu , Philip Gerlee , Sven Nelander

Datasets used in immunotherapy response prediction are typically small in size, as well as diverse in cancer type, drug administered, and sequencer used. Models often drop in performance when tested on patient cohorts that are not included…

Machine Learning · Computer Science 2026-04-02 Sayed Hashim , Frank Soboczenski , Paul Cairns

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

The goal of immunotherapy is to enhance the ability of the immune system to kill cancer cells. Immunotherapy is more effective and, in general, the prognosis is better, when more immune cells infiltrate the tumor. We explore the question of…

Mathematical oncology is a rapidly evolving interdisciplinary field that uses mathematical models to enhance our understanding of cancer dynamics, including tumor growth, metastasis, and treatment response. Tumor-immune interactions play a…

Quantitative Methods · Quantitative Biology 2025-11-05 Chenghang Li , Jinzhi Lei

Gender disparities in health outcomes have garnered significant attention, prompting investigations into their underlying causes. Glioblastoma (GBM), a devastating and highly aggressive form of brain tumor, serves as a case for such…

Applications · Statistics 2023-08-09 Solomon Eshun

In the present work we consider the mathematical model that describes brain tumour growth (glioblastomas) under medical treatment. Based on the medical study presented by R. Stupp et al. (New Engl Journal of Med 352: 987-996, 2005) which…

Tissues and Organs · Quantitative Biology 2016-10-25 O. Gonzalez-Gaxiola , R. Bernal-Jaquez

Malignant gliomas (MGs), particularly glioblastoma, are among the most aggressive brain tumors, with limited treatment options and a poor prognosis. Maximal safe resection and the so-called Stupp protocol are the standard first-line…

Chemotherapy is one of the primary modalities of cancer treatment. Chemotherapy drug administration is a complex problem that often requires expensive clinical trials to evaluate potential regimens. One way to alleviate this burden and…

Optimization and Control · Mathematics 2021-11-04 Temitayo Ajayi , Seyedmohammadhossein Hosseinian , Andrew J. Schaefer , Clifton D. Fuller

Understanding cancer cell differentiation is essential for advancing its detection, diagnosis, and treatment. Mathematical models significantly contribute to this by providing a theoretical framework to understand the complex interactions…

Tissues and Organs · Quantitative Biology 2025-08-18 Marcela V. Reale , Gustavo Paccosi , David H. Margarit , Lilia Romanelli
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