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Chimeric Antigen Receptor (CAR) T-cell therapy is an immunotherapy that has recently become highly instrumental in the fight against life-threatening diseases. A variety of modeling and computational simulation efforts have addressed…

Quantitative Methods · Quantitative Biology 2021-03-04 Ujwani Nukala , Marisabel Rodriguez Messan , Osman N. Yogurtcu , Xiaofei Wang , Hong Yang

Intra-tumour heterogeneity (ITH) has a strong impact on the efficacy of the immune response against solid tumours. The number of sub-populations of cancer cells expressing different antigens and the percentage of immunogenic cells (i.e.…

Cell Behavior · Quantitative Biology 2021-12-08 Emma Leschiera , Tommaso Lorenzi , Shensi Shen , Luis Almeida , Chloe Audebert

Immunotherapy is currently regarded as the most promising treatment to fight against cancer. This is particularly true in the treatment of chronic lymphocytic leukemia, an indolent neoplastic disease of B-lymphocytes which eventually causes…

Tissues and Organs · Quantitative Biology 2018-06-20 Diego Samuel Rodrigues , Paulo Fernando de Arruda Mancera , Tiago de Carvalho , Luiz Fernando Gonçalves

Tumors are defined by their intense proliferation, but sometimes cancer cells turn senescent and stop replicating. In the stochastic cancer model in which all cells are tumorigenic, senescence is seen as the result of random mutations,…

Tissues and Organs · Quantitative Biology 2013-08-29 Caterina A. M. La Porta , Stefano Zapperi , James P. Sethna

A mathematical model for the quantitative analysis of cancer immune interaction, considering the role of antibodies has been proposed in this paper. The model is based on the clinical evidence, which states that antibodies can directly kill…

Quantitative Methods · Quantitative Biology 2016-10-19 Shiferaw Feyissa , Sandip Banerjee

Immunotherapy has the potential to change the way all cancer types are treated and cured. Cancer immunotherapies use elements of the patient immune system to attack tumor cells. One of the most successful types of immunotherapy is CAR-T…

Tissues and Organs · Quantitative Biology 2021-02-03 Víctor M. Pérez-García , O. León-Triana , M. Rosa , A. Pérez-Martínez

Cancer is one of the most common diseases worldwide, posing a serious threat to human health and leading to the deaths of a large number of people. It was observed during the drug administration in chemotherapy that immune cells, cancer…

Quantitative Methods · Quantitative Biology 2020-08-20 SeyedMehdi Abtahi , Mojtaba Sharifi

Despite recent advances in the field of Oncoimmunology, the success potential of immunomodulatory therapies against cancer remains to be elucidated. One of the reasons is the lack of understanding on the complex interplay between tumor…

Tissues and Organs · Quantitative Biology 2015-07-24 A. I. Reppas , J. C. L. Alfonso , H. Hatzikirou

In this work we propose and investigate a family of models, which admits as particular cases some well known mathematical models of tumor-immune system interaction, with the additional assumption that the influx of immune system cells may…

Tissues and Organs · Quantitative Biology 2015-06-17 Alberto d'Onofrio

A dynamical system model for tumor -- immune system interaction together with a method to mimic radiation therapy are proposed. A large population of virtual patients is simulated following an ideal radiation treatment. A characteristic…

Populations and Evolution · Quantitative Biology 2007-06-28 O. Sotolongo-Grau , D. Rodriguez-Perez , J. A. Santos-Miranda , O. Sotolongo-Costa , J. C. Antoranz

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…

The evolutionary and ecological dynamics of tumors under immune responses and therapeutic interventions pose major challenges to long-term treatment success. Although treatment may initially achieve short-term disease control, resistant…

Quantitative Methods · Quantitative Biology 2026-04-03 Nazanin Mokari , Bryce Morsky

Spatial agent-based models are increasingly used to investigate the evolution of solid tumours subject to localised cell-cell interactions and microenvironmental heterogeneity. Here we present a non-technical step by step guide to…

Quantitative Methods · Quantitative Biology 2023-11-08 Blair Colyer , Maciej Bak , David Basanta , Robert Noble

This paper describes an agent-based model of epidemics dynamics. This model is willingly simplified, as its goal is not to predict the evolution of the epidemics, but to explain the underlying mechanisms in an interactive way. This model…

Multiagent Systems · Computer Science 2024-04-16 Carole Adam , Helene Arduin

Adoptive Cell Transfer therapy of cancer is currently in full development and mathematical modeling is playing a critical role in this area. We study a stochastic model developed by Baar et al. in 2015 for modeling immunotherapy against…

Populations and Evolution · Quantitative Biology 2020-03-09 Modibo Diabate , Loren Coquille , Adeline Samson

Cancer is a disease driven by random DNA mutations and the interaction of many complex phenomena. To improve the understanding and ultimately find more effective treatments, researchers leverage computer simulations mimicking the tumor…

Computational Physics · Physics 2024-01-26 Tobias Duswald , Ernesto A. B. F. Lima , J. Tinsley Oden , Barbara Wohlmuth

Cancer development is driven by mutations and selective forces, including the action of the immune system and interspecific competition. When administered to patients, anti-cancer therapies affect the development and dynamics of tumours,…

Dynamical Systems · Mathematics 2021-09-30 Elena Piretto , Marcello Delitala , Peter S. Kim , Federico Frascoli

In the tumour microenvironment, cancer cells directly interact with both the immune system and the stroma. It is firmly established that the immune system, historically believed to be a major part of the body's defence against tumour…

Tissues and Organs · Quantitative Biology 2017-09-01 R J Seager , Cynthia Hajal , Fabian Spill , Roger D Kamm , Muhammad H Zaman

Radiation therapy is one of the most common cancer treatments, and dose optimization and targeting of radiation are crucial since both cancerous and healthy cells are affected. Different mathematical and computational approaches have been…

Biological Physics · Physics 2025-11-07 Mirko Bagnarol , Gianluca Lattanzi , Jan Åström , Mikko Karttunen

Mathematical and computational modelling in oncology has played an increasingly important role in not only understanding the impact of various approaches to treatment on tumour growth, but in optimizing dosing regimens and aiding the…

Tissues and Organs · Quantitative Biology 2025-07-03 Molly Brennan , Andrew L. Krause , Edgardo Villar-Sepúlveda , Christopher B. Prior