Numerical study for a model of tumor virotherapy
نویسندگان
چکیده
In this paper, we present a computational mathematical model to investigate the efficacy of tumor virotherapy using oncolytic viruses. A numerical algorithm, which is stable and second-order accurate, is developed to compute the growth of the tumor. Results from the numerical simulation have matched the experimental measurements, and validated the significance of the oncolytic viral therapy. Moreover, our numerical results suggest that this therapy can be further improved by increasing the burst size of viruses and using cyclophosphamide (CPA) treatments. 2007 Elsevier Inc. All rights reserved.
منابع مشابه
Periodic Solutions of a Model for Tumor Virotherapy
In this article we study periodic solutions of a mathematical model for brain tumor virotherapy by finding Hopf bifurcations with respect to a biological significant parameter, the burst size of the oncolytic virus. The model is derived from a PDE free boundary problem. Our model is an ODE system with six variables, five of them represent different cell or virus populations, and one represents ...
متن کاملOncolytic 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 enhance oncolytic virotherapy? We formulate a mathematical model describing the interactions between the oncolytic virus, the tumor cells, the normal cells, and the antitumoral and antiviral immune responses. The mo...
متن کاملIntracellular Viral Life-cycle Induced Rich Dynamics in Tumor Virotherapy
The intracellular viral life-cycle is an important process in tumor virotherapy. Most mathematical models for tumor virotherapy do not incorporate the intracellular viral life-cycle. In this article, a model for tumor virotherapy with the intracellular viral life-cycle is presented and studied. The period of the intracellular viral life-cycle is modeled as a delay parameter. The model is a nonl...
متن کاملThe replicability of oncolytic virus: defining conditions in tumor virotherapy.
The replicability of an oncolytic virus is measured by its burst size. The burst size is the number of new viruses coming out from a lysis of an infected tumor cell. Some clinical evidences show that the burst size of an oncolytic virus is a defining parameter for the success of virotherapy. This article analyzes a basic mathematical model that includes burst size for oncolytic virotherapy. The...
متن کاملA 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 model for virotherapy of cancer is investigated through simulations. It was found that, for intratumoral virus administration, a solid tumor can be completely eradicated or keep growing after a transient remissi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Applied Mathematics and Computation
دوره 196 شماره
صفحات -
تاریخ انتشار 2008