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Oncolytic virotherapy is an experimental cancer treatment that uses genetically engineered viruses to target and kill cancer cells. One major limitation of this treatment is that virus particles are rapidly cleared by the immune system,…

Cell Behavior · Quantitative Biology 2019-12-02 Adrianne L. Jenner , Chae-Ok Yun , Peter S. Kim , Adelle C. F. Coster

The use of ad-hoc engineered viruses in the fight against tumours is one of the greatest ideas in cancer therapeutics within the last three decades. Together with other strategies such as immunotherapies, nanoparticles and adjunct…

Populations and Evolution · Quantitative Biology 2026-03-26 David Morselli , Federico Frascoli , Marcello Edoardo Delitala

A model capturing the dynamics between virus and tumour cells in the context of oncolytic virotherapy is presented and analysed. The ability of the virus to be internalised by uninfected cells is described by an infectivity parameter, which…

Dynamical Systems · Mathematics 2021-10-08 Pantea Pooladvand , Chae-Ok Yun , A-Rum Yoon , Peter S. Kim , Federico Frascoli

Oncolytic virotherapy - the use of viruses that specifically kill tumor cells - is an innovative and highly promising route for treating cancer. However, its therapeutic outcomes are mainly impaired by the host immune response to the viral…

Tissues and Organs · Quantitative Biology 2015-06-15 Leticia R Paiva , Hallan S Silva , Silvio C Ferreira , Marcelo L Martins

Oncolytic viruses, which may be naturally occurring or genetically engineered, are a type of virus that infects and destroy cancer cells preferentially. Owing to their selectivity, they outperform conventional chemotherapy and radiotherapy,…

Cell Behavior · Quantitative Biology 2022-04-26 Chottiwatt Jittprasong

One of the most promising strategies to treat cancer is attacking it with viruses. Virus can kill tumor cells specifically or act as carriers that deliver normal genes into cancer cells. A model for virus therapy of cancer is investigated…

Statistical Mechanics · Physics 2007-05-23 S. C. Ferreira , M. L. Martins , M. J. Vilela

Oncolytic virotherapy (OV) has been emerging as a promising novel cancer treatment that may be further combined with the existing therapeutic modalities to enhance their effects. To investigate how OV could enhance chemotherapy, we propose…

Optimization and Control · Mathematics 2018-09-24 Joseph Malinzi , Rachid Ouifki , Amina Eladdadi , Delfim F. M. Torres , K. A. Jane White

We present a mathematical model describing oncolytic virotherapy treatment of a tumour that proliferates according to a Gompertz growth function. We present local stability analysis and bifurcation plots for relevant model parameters to…

Dynamical Systems · Mathematics 2021-09-30 Adrianne L. Jenner , Peter S. Kim , Federico Frascoli

The effectiveness of oncolytic virotherapy is significantly affected by several elements of the tumour microenvironment, which reduce the ability of the virus to infect cancer cells. In this work, we focus on the influence of hypoxia on…

Tissues and Organs · Quantitative Biology 2026-03-26 David Morselli , Giulia Chiari , Federico Frascoli , Marcello E. Delitala

We develop and analyze a mathematical model of oncolytic virotherapy in the treatment of melanoma. We begin with a special, local case of the model, in which we consider the dynamics of the tumour cells in the presence of an oncolytic virus…

Dynamical Systems · Mathematics 2023-09-07 Tedi Ramaj , Xingfu Zou

Oncolytic virotherapy, utilizing genetically modified viruses to combat cancer and trigger anti-cancer immune responses, has garnered significant attention in recent years. In our previous work arXiv:2305.12386, we developed a stochastic…

Populations and Evolution · Quantitative Biology 2026-04-23 David Morselli , Marcello E. Delitala , Adrianne L. Jenner , Federico Frascoli

One of the mechanisms that ensure cancer robustness is tumor heterogeneity, and its effects on tumor cells dynamics have to be taken into account when studying cancer progression. There is no unifying theoretical framework in mathematical…

Tissues and Organs · Quantitative Biology 2007-05-23 Georgy P. Karev , Artem S. Novozhilov , Eugene V. Koonin

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

A complete parametric analysis of dynamic regimes of a conceptual model of anti-tumor virus therapy is presented. The role and limitations of mass-action kinetics are discussed. A functional response, which is a function of the ratio of…

Tissues and Organs · Quantitative Biology 2007-05-23 Artem S. Novozhilov , Faina S. Berezovskaya , Eugene V. Koonin , Georgy P. Karev

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

Oncolytic viral therapy (OVT) is an emerging precision therapy for aggressive and recurrent cancers. However, its clinical efficacy is hindered by the complexity of tumor-virus-immune interactions and the lack of predictive models for…

Quantitative Methods · Quantitative Biology 2026-03-11 Abicumaran Uthamacumaran , Juri Kiyokawa , Hiroaki Wakimoto

In the field of modeling the dynamics of oncolytic viruses, researchers often face the challenge of using specialized mathematical terms to explain uncertain biological phenomena. This paper introduces a basic framework for an oncolytic…

Dynamical Systems · Mathematics 2024-02-22 Zizi Wang

We continue our study of a model for cancer treatment, constructed in Dutta et. al., 2025, by adding Virotherapy to the Chemotherapy and Immunotherapy studied there. It is a dynamical system model for the spread of cancer in healthy tissue.…

Other Quantitative Biology · Quantitative Biology 2026-03-02 Tarini Kumar Dutta , Silmera A Sangma , Janice Moore , Meir Shillor

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

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…

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