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Bezier Control Points Method to Solve Scheduling of Injections of Immunotherapeutic Agents
Department of Applied Mathematics, Ferdowsi University of Mashhad, Iran
- 1 Department of Applied Mathematics, Ferdowsi University of Mashhad, Iran
Intelligent Control and Automation·Volume 03 (2012)·Pages 20–25·Published 28 February 2012·DOI10.4236/ica.2012.31003
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Abstract
Cancer immunotherapy aims at enhancing immune system to defend against the tumor. However, it is associated with injecting small doses of tumor-bearing molecules or even using drugs. The problem is that how to schedule these injections effectively and/or how to apply drugs in a way to decrease toxic side effects of drugs such that the tumor growth to be stopped or at least to be limited. Here, the theory of optimal control has been applied to find the optimal schedule of injections of an immunotherapeutic agent against cancer. The numerical method employed works for any dynamic linear system and has almost precise solution. In this work, it was tested for a well known model of the tumor immune system interaction.
KeywordsImmunotherapyBezier Control PointsConstrained Optimal Control
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