Stochastic model analysis of cancer oncolytic virus therapy: estimation of the extinction mean times and their probabilities

BI Camara, H Mokrani, A Diouf, I Sané, AS Diallo - Nonlinear Dynamics, 2022 - Springer
In this paper, we propose a mathematical model on the oncolytic virotherapy incorporating
virus-specific cytotoxic T lymphocyte (CTL) response, which contribute to killing infected …

Dynamics of tumor virotherapy: A deterministic and stochastic model approach

KS Kim, S Kim, IH Jung - Stochastic Analysis and Applications, 2016 - Taylor & Francis
Cancer virotherapy is studied in mathematical modeling to improve tumor elimination. Since
various oncolytic viruses are used for cancer therapy and virus selection is an important …

[HTML][HTML] Basic stochastic model for tumor virotherapy

TA Phan, JP Tian - Mathematical biosciences and engineering …, 2020 - ncbi.nlm.nih.gov
The complexity of oncolytic virotherapy arises from many factors. In this study, we
incorporate environmental noise and stochastic effects to our basic deterministic model and …

Modeling treatment of cancer using oncolytic virotherapy with saturated incidence

M Rajalakshmi, M Ghosh - Stochastic Analysis and Applications, 2020 - Taylor & Francis
Oncolytic virotherapy is emerging as a promising new method for cancer treatment. In the
present study, we propose and analyze a mathematical model for treatment of cancer by …

A nonlinear mathematical model of virus-tumor-immune system interaction: deterministic and stochastic analysis

B Mukhopadhyay, R Bhattacharyya - Stochastic Analysis and …, 2009 - Taylor & Francis
Ongoing research on cancer has indicated that viruses which specifically infect and destroy
tumor cells could be used as a therapeutic agent to arrest tumors. Some of these oncolytic …

Hopf bifurcation without parameters in deterministic and stochastic modeling of cancer virotherapy, part I

TA Phan, JP Tian - Journal of Mathematical Analysis and Applications, 2022 - Elsevier
In this research, we propose deterministic and stochastic models to explain the complexity of
interactions in cancer virotherapy and outcomes of current preclinical and clinical trials of …

A multiscale mathematical model for oncolytic virotherapy

LR Paiva, C Binny, SC Ferreira Jr, ML Martins - Cancer research, 2009 - AACR
One of the most promising strategies to treat cancer is attacking it with viruses. Oncolytic
viruses can kill tumor cells specifically or induce anticancer immune response. A multiscale …

Modeling treatment of cancer using virotherapy with generalized logistic growth of tumor cells

M Rajalakshmi, M Ghosh - Stochastic Analysis and Applications, 2018 - Taylor & Francis
Virotherapy is an effective strategy in cancer treatment. It eliminates tumor cells without
harming the healthy cells. In this article, a deterministic mathematical model to understand …

[HTML][HTML] Towards predictive computational models of oncolytic virus therapy: basis for experimental validation and model selection

D Wodarz, N Komarova - PloS one, 2009 - journals.plos.org
Oncolytic viruses are viruses that specifically infect cancer cells and kill them, while leaving
healthy cells largely intact. Their ability to spread through the tumor makes them an attractive …

[HTML][HTML] Oncolytic potency and reduced virus tumor-specificity in oncolytic virotherapy. A mathematical modelling approach

KJ Mahasa, A Eladdadi, L De Pillis, R Ouifki - Plos one, 2017 - journals.plos.org
In the present paper, we address by means of mathematical modeling the following main
question: How can oncolytic virus infection of some normal cells in the vicinity of tumor cells …