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T-lymphocyteCell InjectionCancer Immunotherapy: an Optimal Control Approach
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Nazari   , Basirzadeh |
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Abstract: (29547 Views) |
| 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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| Keywords: Tumor, Vaccine therapy, Tumor infiltrating lymphocyte, Quadratic optimal controls, Lyapunov function |
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Full-Text [PDF 763 kb]
(32300 Downloads)
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Type of Study: Original |
Received: 2011/07/5 | Accepted: 2013/06/22 | Published: 2013/06/22
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