T-lymphocyteCell InjectionCancer Immunotherapy: an Optimal Control Approach
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چکیده: (32427 مشاهده) |
We consider amathematical model in the form of a system of ordinary differential equations (ODE) foroptimally administrating cancer treatments. The ODE systemdynamics characterized by locating equilibrium points and stability propertiesare determined by linearization and usingappropriate Lyapunovfunctions. By applying optimal control theory, we seek to minimize the cost function associated with the vaccine therapy looking forminimization of the tumor cells. Global existence of a solution is shown for this model and existence of an optimal control is proven. The optimality conditions and characterization of the control are discussed |
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متن کامل [PDF 763 kb]
(38600 دریافت)
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نوع مطالعه: پژوهشی |
دریافت: 1390/4/14 | پذیرش: 1392/4/1 | انتشار: 1392/4/1
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