摘要:AbstractThe efficiency of therapeutic cancer treatment protocols can be increased by incorporating knowledge about the underlying physiological processes into the design of the protocol. The aim of this work is to find the optimal protocol resulting in minimal drug usage for fixed resting time between measurements and treatments (the sampling time) and predefined tumor volumes for the inspections. The minimal amount of drug is calculated by a binary search algorithm using the model of tumor growth. The monotonicity of the tumor growth model is proved providing that the search algorithm finds the optimal solution. The optimal therapeutic protocol is calculated for different sampling times, and we find that relatively small sampling times are desirable in many aspects.
关键词:KeywordsPhysiological modelsOptimal controlNonlinear systemsTumor therapyBiomedical control