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Cancer evolves continuously over time through a complex interplay of genetic, epigenetic, microenvironmental, and phenotypic changes. This dynamic behavior drives uncontrolled cell growth, metastasis, immune evasion, and therapy resistance,…

Quantitative Methods · Quantitative Biology 2025-07-08 Luoting Zhuang , Stephen H. Park , Steven J. Skates , Ashley E. Prosper , Denise R. Aberle , William Hsu

In this review we make the statement that hybrid models in oncology are required as a mean for enhanced data integration. In the context of systems oncology, experimental and clinical data need to be at the heart of the models developments…

Quantitative Methods · Quantitative Biology 2019-01-18 Angélique Stéphanou , Pascal Ballet , Gibin Powathil

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

Cancer remains one of the most challenging diseases to treat in the medical field. Machine learning has enabled in-depth analysis of rich multi-omics profiles and medical imaging for cancer diagnosis and prognosis. Despite these…

Machine Learning · Computer Science 2024-01-15 Lingchao Mao , Hairong Wang , Leland S. Hu , Nhan L Tran , Peter D Canoll , Kristin R Swanson , Jing Li

Clinical management of cancer has continuously evolved for several decades. Biochemical, molecular and genomics approaches have brought and still bring numerous insights into cancerous diseases. It is now accepted that some phenomena,…

In this paper, we study a phase-space analysis of a mathematical model of tumor growth with an immune response. Mathematical analysis of the model equations with multipoint initial condition, regarding to dissipativity, boundedness of…

Tissues and Organs · Quantitative Biology 2018-01-17 Veli Shakhmurov

This paper proposes a general framework for probabilistic certification of cancer therapies. The certification is defined in terms of two key issues which are the tumor contraction and the lower admissible bound on the circulating…

Systems and Control · Computer Science 2015-02-24 Mazen Alamir

Mathematical modelling of tumor growth is one of the most useful and inexpensive approaches to determine and predict the stage, size and progression of tumors in realistic geometries. Moreover, these models has been used to get an insight…

Medical Physics · Physics 2017-08-01 Miguel Martín-Landrove

In this article a generalized mathematical model describing the interactions between malignant tumour and immune system with discrete time delay incorporated into the system is considered. Time delay represents the time required to generate…

Tissues and Organs · Quantitative Biology 2015-11-05 Monika Joanna Piotrowska

Control of an inflammatory immune response is still an ongoing research. Here, a strategy consisting of manipulating a pro and anti-inflammatory mediator is considered. Already existing and promising model-based techniques suffer…

Optimization and Control · Mathematics 2016-07-26 Ouassim Bara , Michel Fliess , Cédric Join , Judy Day , Seddik M. Djouadi

Cell and immunotherapy offer transformative potential for treating diseases like cancer and autoimmune disorders by modulating the immune system. The development of these therapies is resource-intensive, with the majority of drug candidates…

Machine Learning · Computer Science 2024-12-04 Katarzyna Janocha , Annabel Ling , Alice Godson , Yulia Lampi , Simon Bornschein , Nils Y. Hammerla

Computational models and simulations are not just appealing because of their intrinsic characteristics across spatiotemporal scales, scalability, and predictive power, but also because the set of problems in cancer biomedicine that can be…

Tissues and Organs · Quantitative Biology 2023-11-01 Nicolò Cogno , Cristian Axenie , Roman Bauer , Vasileios Vavourakis

At present it is still quite difficult to match the vast knowledge on the behavior of individual tumor cells with macroscopic measurements on clinical tumors. On the modeling side, we already know how to deal with many molecular pathways…

Tissues and Organs · Quantitative Biology 2012-01-16 Roberto Chignola , Edoardo Milotti

Chimeric antigen receptor T (CAR-T) cell therapy has emerged as a promising treatment for hematological malignancies, offering a targeted approach to cancer treatment. Understanding the complexities of CAR-T cell therapy within solid tumors…

Tissues and Organs · Quantitative Biology 2025-02-03 Silvia Bordel-Vozmediano , Soukaina Sabir , Lucía Benito-Barca , Bettina Weigelin , Víctor M. Pérez-García

Cancer is a disease that takes millions of lives every year. Then, to propose treatments, avoid recurrence, and improve the patient's life quality, we need to analyze this disease from a biophysical perspective with a solid mathematical…

Quantitative Methods · Quantitative Biology 2024-07-09 Carlos M. Nieto , Oscar M. Pimentel , Fabio D. Lora-Clavijo

The intratumor heterogeneity has been recognized to characterize cancer cells impairing the efficacy of cancer treatments. We here propose an extension of constraint-based modeling approach in order to simulate metabolism of cell…

Quantitative Methods · Quantitative Biology 2016-07-18 M. Di Filippo , C. Damiani , R. Colombo , D. Pescini , G. Mauri

In this work we investigate a mathematical model describing tumour growth under a treatment by chemotherapy that incorporates time-delay related to the conversion from resting to hunting cells. We study the model using values for the…

Tissues and Organs · Quantitative Biology 2013-12-09 F. S. Borges , K. C. Iarosz , H. P. Ren , A. M. Batista , M. S. Baptista , R. L. Viana , S. R. Lopes , C. Grebogi

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

The majority of solid tumours arise in epithelia and therefore much research effort has gone into investigating the growth, renewal and regulation of these tissues. Here we review different mathematical and computational approaches that…

Tissues and Organs · Quantitative Biology 2019-12-23 O. J. Maclaren , A. G. Fletcher , H. M. Byrne , P. K. Maini

Some common systems modelling and simulation approaches for immune problems are Monte Carlo simulations, system dynamics, discrete-event simulation and agent-based simulation. These methods, however, are still not widely adopted in…

Computational Engineering, Finance, and Science · Computer Science 2013-07-09 Grazziela P. Figueredo , Peer-Olaf Siebers , Uwe Aickelin , Stephanie Foan