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 …
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 …
various oncolytic viruses are used for cancer therapy and virus selection is an important …
[HTML][HTML] Basic stochastic model for tumor virotherapy
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 …
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 …
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 …
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
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 …
interactions in cancer virotherapy and outcomes of current preclinical and clinical trials of …
A multiscale mathematical model for oncolytic virotherapy
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 …
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 …
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 …
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
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 …
question: How can oncolytic virus infection of some normal cells in the vicinity of tumor cells …