Mathematical Models of Tumor Treatment with Virus

摘要

We consider several mathematical models of tumor treatment involved in using oncolytic virus.These models are free boundary problems of nonlinear systems of partial differential equations, where the urface of a tumor is the free boundary. The first model deals with the competition between tumor cells, a replication-competent virus and an immune response. The second model describes combined therapies against cancer using virus and inhibitor. Finally, we consider a model of cancer radiovirotherapy which requires not only injection of replication-competent virus but also administration of radiodide.2000 Mathematics Subject Classification: 35Q80, 35R35, 92A15, 92C50