Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Presentation of a Model for Virus Therapy of Cancer Tumors Using the Modified Prey Predator Population Dynamics

Presentation of a Model for Virus Therapy of Cancer Tumors Using the Modified Prey Predator... Prey predator population dynamics has been frequently studied in literature to model many robust but contrastive biological populations. In this paper, based on prey predator population dynamics, a nonlinear model to predict the behavior of virus treatment of cancer cells is suggested. Based on the goals of virus curing and consideration of some practical issues, the suggested model has the capability to cover these following cases: both cancer cells and viruses vanish, one is eliminated by the other, or both survive in a robust periodically convergent manner or both become divergent. Relative to the values of some parameters such as the virus intrinsic growth rate, carrying capacity, capturing rate, half saturation constant, maximal tumor cells growth rate, and tumor cells mortality rate, and the initial population values of both tumor cells and viruses, some examples are solved. These examples exhibit logical and feasible behavior for the system. They show under which conditions the virus therapy fails or succeeds; as well when the bifurcation occurs or when the trajectories converge to a limit cycle. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Solids and Structures Science and Engineering Publishing Company

Presentation of a Model for Virus Therapy of Cancer Tumors Using the Modified Prey Predator Population Dynamics

Solids and Structures , Volume 2 (2) – Jun 1, 2013

Loading next page...
 
/lp/science-and-engineering-publishing-company/presentation-of-a-model-for-virus-therapy-of-cancer-tumors-using-the-7e77avJCBH

References

References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.

Publisher
Science and Engineering Publishing Company
Copyright
Science and Engineering Publishing Company
ISSN
2327-1728
eISSN
2327-1736

Abstract

Prey predator population dynamics has been frequently studied in literature to model many robust but contrastive biological populations. In this paper, based on prey predator population dynamics, a nonlinear model to predict the behavior of virus treatment of cancer cells is suggested. Based on the goals of virus curing and consideration of some practical issues, the suggested model has the capability to cover these following cases: both cancer cells and viruses vanish, one is eliminated by the other, or both survive in a robust periodically convergent manner or both become divergent. Relative to the values of some parameters such as the virus intrinsic growth rate, carrying capacity, capturing rate, half saturation constant, maximal tumor cells growth rate, and tumor cells mortality rate, and the initial population values of both tumor cells and viruses, some examples are solved. These examples exhibit logical and feasible behavior for the system. They show under which conditions the virus therapy fails or succeeds; as well when the bifurcation occurs or when the trajectories converge to a limit cycle.

Journal

Solids and StructuresScience and Engineering Publishing Company

Published: Jun 1, 2013

Keywords: Cancer Tumours; Virus Therapy; Limit Cycle; Bifurcation; Predator Prey Model

There are no references for this article.