چکیده

Abstract. metastasis occurs when cancerous cells move from their original location to other areas of the body. One of the areas where the metastasis is to be made is bone. In this paper we describe the special case of bone metastasis called osteolysis and then survey how the disease is controlled from the mathematical point of view. Motivation or purpose The purpose of this paper is to find the optimal use of medication to minimize the tumor volume by using optimal control. Method Considering the drug used in the medical area for this disease we will study the effect the drug on the model and simulate the nonlinear partial differential equations model by using discretization and a combination algorithm. Results The simulation results show that using medication based on the obtained response from optimal control to cure tumor concentrations the tumor density will be reduced compared to the drug - free model. Conclusions The results show that after the use of drugs the patient s condition is returned to a state where the metastasis is beginning and is not yet advanced in fact the metastasis is inhibited which is beneficial to the patient. Keywords optimal control nonlinear PDE osteolysis combination algorithm.

کليدواژه ها

optimal control nonlinear PDE osteolysis combination algorithm.

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مریم نیک بخت , 1400 , Using optimal control to treat osteoclast , اولین کنفرانس بین المللی ریاضیات و کاربردها