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There is an ongoing debate on the therapeutic potential of vaso-modulatory interventions against glioma invasion. Prominent vasculature-targeting therapies involve functional tumour-associated blood vessel deterioration and normalisation.…

Tissues and Organs · Quantitative Biology 2016-04-19 J. C. L. Alfonso , A. Kohn-Luque , T. Stylianopoulos , F. Feuerhake , A. Deutsch , H. Hatzikirou

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

The transformation of the regular vasculature in normal tissue into a highly inhomogeneous tumor specific capillary network is described by a theoretical model incorporating tumor growth, vessel cooption, neo-vascularization, vessel…

Tissues and Organs · Quantitative Biology 2016-09-08 K. Bartha , H. Rieger

Although the immune response is often regarded as acting to suppress tumor growth, it is now clear that it can be both stimulatory and inhibitory. The interplay between these competing influences has complex implications for tumor…

Cell Behavior · Quantitative Biology 2013-05-17 Kathleen P. Wilkie , Philip Hahnfeldt

The goal of cancer immunotherapy is to boost a patient's immune response to a tumor. Yet, the design of an effective immunotherapy is complicated by various factors, including a potentially immunosuppressive tumor microenvironment,…

Tissues and Organs · Quantitative Biology 2017-06-29 Anna Konstorum , Anthony T. Vella , Adam J. Adler , Reinhard Laubenbacher

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

In this paper, we studied phase-space analysis of a certain mathematical model of tumor growth with an immune responses and chemotherapy therapy. Mathematical modelling of this process is viewed as a potentially powerful tool in the…

Dynamical Systems · Mathematics 2018-03-15 Veli Shakhmurov , Akif Maharramov , Bunyad Shahmurzada

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

The interactions between tumor cells and the immune system play a crucial role in cancer evolution. In this study, we explore how these interactions influence cancer progression by modeling the relationships among naive T cells, effector T…

Tissues and Organs · Quantitative Biology 2025-03-19 Haifeng Zhang , Changjing Zhuge , Jinzhi Lei

We investigate a new dynamical system that describes tumor-host interaction. The equation that describes the untreated tumor growth is based on non-extensive statistical mechanics. Recently, this model has been shown to fit successfully…

Tumor-immune interactions are central to cancer progression and treatment outcomes. In this study, we present a stochastic agent-based model that integrates cellular heterogeneity, spatial cell-cell interactions, and drug resistance…

Tissues and Organs · Quantitative Biology 2026-05-19 Yuhong Zhang , Chenghang Li , Boya Wang , Jinzhi Lei

Tumor growth beyond a critical size relies on the development of a functional vascular network, which ensures adequate oxygen and nutrient supply. In this work, we present a modeling framework based on an optimization-based 3D-1D coupling…

Numerical Analysis · Mathematics 2026-04-01 Chiara Giverso , Denise Grappein , Stefano Scialò

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

Tumors constitute a wide family of diseases kinetically characterized by the co-presence of multiple spatio-temporal scales. So, tumor cells ecologically interplay with other kind of cells, e.g. endothelial cells or immune system effectors,…

Computational Engineering, Finance, and Science · Computer Science 2012-08-21 Giulio Caravagna , Alex Graudenzi , Marco Antoniotti , Giancarlo Mauri , Alberto d'Onofrio

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

In this work, we present a coupled 3D-1D model of solid tumor growth within a dynamically changing vascular network to facilitate realistic simulations of angiogenesis. Additionally, the model includes erosion of the extracellular matrix,…

Tissues and Organs · Quantitative Biology 2021-06-23 Marvin Fritz , Prashant K. Jha , Tobias Köppl , J. Tinsley Oden , Andreas Wagner , Barbara Wohlmuth

During the last decades, medical observations and multiscale data concerning tumor growth are mounting. At the same time, contemporary imaging techniques well established in clinical practice, provide a variety of information on real-time,…

Tissues and Organs · Quantitative Biology 2017-12-11 Markos Antonopoulos , Georgios Stamatakos

While the use of combination therapy is increasing in prevalence for cancer treatment, it is often difficult to predict the exact interactions between different treatment forms, and their synergistic/antagonistic effects on patient health…

Optimization and Control · Mathematics 2021-01-29 Jayanth Pratap

Stochastic resonance induced by external factor is considering to investigate the complex dynamics of tumor. The surrounding environment and the treatment effects on the tumor growth are considered as additive and multiplicative noises in…

Cell Behavior · Quantitative Biology 2017-07-18 Najmeh Sadat Mirian

Some clinical and pre-clinical data suggests that treating some tumors at a mild, patient-specific dose might delay resistance to treatment and increase survival time. A recent mathematical model with sensitive and resistant tumor cells…

Dynamical Systems · Mathematics 2022-12-01 Frank Alvarez , Yannick Viossat
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