【摘 要】
：
In this keynote lecture, I will explain our dynamical systems approach to prostate cancer and its therapy based on mathematical modeling.First, we make math
【机 构】
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InstituteofIndustrialScience,GraduateSchoolofInformationScienceandTechnologyandGraduateSchoolofEngin
【出 处】
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The Third International Conference on Dynamics,Vibration and
论文部分内容阅读
In this keynote lecture, I will explain our dynamical systems approach to prostate cancer and its therapy based on mathematical modeling.First, we make mathematical models of population dynamics in prostate cancer with ODEs and PDEs, and consider a possibility to control it through a kind of hormone therapy with intermittent androgen suppression.Then, we describe this hormone treatment as hybrid dynamical systems, analyse nonlinear dynamics and bifurcation structure peculiar to such hybrid systems, and explore application of optimal control for the therapy of prostate cancer.Finally, we validate our mathematical modelling by its fitting to clinical data of serum prostate-specific antigen.
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