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Currently, most of the basic mechanisms governing tumor-immune system interactions, in combination with modulations of tumor-associated vasculature, are far from being completely understood. Here, we propose a mathematical model of…

Tissues and Organs · Quantitative Biology 2015-10-07 H. Hatzikirou , J. C. L. Alfonso , S. Muhle , C. Stern , S. Weiss , M. Meyer-Hermann

A model for the mathematical study of immune response to breast cancer is proposed and studied, both analytically and numerically. It is a simplification of a complex one, recently introduced by two of the present authors. It serves for a…

Cell Behavior · Quantitative Biology 2024-03-26 Vasiliki Bitsouni , Nikolaos Gialelis , Vasilis Tsilidis

The role of T-cells within the immune system is to confirm and assess anomalous situations and then either respond to or tolerate the source of the effect. To illustrate how these mechanisms can be harnessed to solve real-world problems, we…

Artificial Intelligence · Computer Science 2010-07-05 Jungwon Kim , William Wilson , Uwe Aickelin , Julie McLeod

One of the most promising strategies to treat cancer is attacking it with viruses designed to exploit specific altered pathways. Here, the effects of oncolytic virotherapy on tumors having compact, papillary and disconnected morphologies…

Biological Physics · Physics 2011-09-19 L R Paiva , M L Martins , S C Ferreira

Critical infrastructures face demanding challenges due to natural and human-generated threats, such as pandemics, workforce shortages or cyber-attacks, which might severely compromise service quality. To improve system resilience,…

Multiagent Systems · Computer Science 2025-02-11 David Carramiñana , Ana M. Bernardos , Juan A. Besada , José R. Casar

In this review, we discuss recent advances on the plasticity of cancer stem cells and highlight their relevance to understand the metastatic process and to guide therapeutic interventions. Recent results suggest that the strict hierarchical…

Populations and Evolution · Quantitative Biology 2017-05-16 Caterina A. M. La Porta , Stefano Zapperi

Treatment-related lymphopenia is a frequent and clinically significant consequence of cancer therapy that can compromise immune-mediated tumor control and worsen patient outcomes. Despite its importance, no mechanistic framework exists to…

Medical Physics · Physics 2026-05-04 Vladislav Sandul , Marco Durante , Thomas Friedrich

Due to over-metabolism, the tumour cells become hypoxic. To overcome this situation tumour cells secret several chemical substrates to attract nearby blood vessels towards it (angiogenesis). Transition from avascular to vascular tumour is…

Biological Physics · Physics 2019-09-06 Sounak Sadhukhan , S. K. Basu

Despite advances in methods to interrogate tumor biology, the observational and population-based approach of classical cancer research and clinical oncology does not enable anticipation of tumor outcomes to hasten the discovery of cancer…

The combination of cytotoxic therapies and anti-angiogenic agents is emerging as a most promising strategy in the treatment of malignant tumors. However, the timing and sequencing of these treatments seem to play essential roles in…

Tissues and Organs · Quantitative Biology 2011-06-13 M. Kohandel , C. A. Haselwandter , M. Kardar , S. Sengupta , S. Sivaloganathan

The tumor microenvironment (TME) plays a critical role in cancer cell proliferation, invasion, and resistance to therapy. A principal component of the TME is the tumor immune microenvironment (TIME), which includes various immune cells such…

Cell Behavior · Quantitative Biology 2024-05-30 Mobina Tousian , Christian Solis Calero , Julio Cesar Perez Sansalvador

Markov Decision Processes and Dynamic Treatment Regimes have grown increasingly popular in the treatment of diseases, including cancer. However, cancer treatment often impacts quality of life drastically, and people often fail to take…

Applications · Statistics 2020-12-01 Navonil Deb , Abhinandan Dalal , Gopal Krishna Basak

The immune response is a dynamic process by which the body determines whether an antigen is self or nonself. The state of this dynamic process is defined by the relative balance and population of inflammatory and regulatory actors which…

In this paper, a reaction-diffusion system modeling injection of a chemotherapeutic drug on the surface of a living tissue during a treatment for cancer patients is studied. The system describes the interaction of the chemotherapeutic drug…

Analysis of PDEs · Mathematics 2024-08-20 Jeff Morgan , Bao Quoc Tang , Hong-Ming Yin

As cell proliferation is limited due to the loss of telomere repeats in DNA of normal somatic cells during division, telomere attrition can possibly play an important role in determining the maximum life span of organisms as well as…

Populations and Evolution · Quantitative Biology 2009-11-11 Michael Masa , Stanislaw Cebrat , Dietrich Stauffer

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

Cancer stem cells have been shown to be critical to the development of a variety of solid cancers. The precise interplay mechanisms between cancer stem cells and the rest of a tissue are still not elucidated. To shed light on the…

Cell Behavior · Quantitative Biology 2019-09-04 L. Benítez , L. Barberis , C. A. Condat

The use of oncolytic viruses as cancer treatment has received considerable attention in recent years, however the spatial dynamics of this viral infection is still poorly understood. We present here a stochastic agent-based model describing…

Populations and Evolution · Quantitative Biology 2023-09-06 David Morselli , Marcello Edoardo Delitala , Federico Frascoli

In this work, we develop a kinetic model of tumour growth taking into account the effects of clinical uncertainties characterising the tumours' progression. The action of therapeutic protocols trying to steer the tumours' volume towards a…

Radiation therapy is an effective and widely accepted form of treatment for many types of cancer that requires extensive computerized planning. Unfortunately, current treatment planning systems have limited or no visual aid that combines…

Graphics · Computer Science 2018-11-30 Felix G. Hamza-Lup , Ivan Sopin , Omar Zeidan
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