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Analysis of wave solutions of an adhenovirus-tumor cell system. (English) Zbl 1237.35156
Summary: We discuss the biological background and the mathematical analysis of glioma gene therapy for contributing to cancer treatment. By a reaction-diffusion system, we model interactions between gliom cells and viruses. We establish some sufficient conditions on model parameters which guarantee the permanence of the system and the existence of periodic solutions. Our study has experimental and theoretical implications in the prospective management strategy of therapy.
MSC:
35Q92PDEs in connection with biology and other natural sciences
92C50Medical applications of mathematical biology
35K57Reaction-diffusion equations
35B10Periodic solutions of PDE