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Published on: June 20, 2015
Finite-Set Model Predictive Control of Melanoma Cancer Treatment Using Signaling Pathway Inhibitor of Cancer Stem
Abstract:
Drug delivery is one of the most important issues in the treatment of cancer and surviving the patient. Recently, with a combination of mathematical models of the tumor growth and control theory, optimal drug delivery can be planned, individually. The goal is reducing the tumor volume with minimum side effects on the patient. One of the most important challenges of the modeling is considering the drug resistance, which may lead to failure of the treatment. In this paper, a mathematical model is proposed for describing the growth dynamics of the melanoma tumor cells. It is assumed that the melanoma cancer is treated with Notch signaling pathway inhibitors of the cancer stem cells. The model parameters are identified based on experimental data obtained from 13 male nude mice with an induced melanoma cancer involved in a dual antiplatelet therapy (DAPT) program. The mathematical model is used to determine if DAPT can reduce the growth rate of the tumor. Then an optimal drug delivery plan for the treatment of every animal model is presented, individually using finite-set model predictive control method. The results show that the proposed model can estimate the drug's effect on the treatment of melanoma cancer.
Insights
This study developed a mathematical model to optimize drug delivery for melanoma cancer, considering drug resistance and using dual antiplatelet therapy (DAPT) in mice. The model successfully estimated treatment effects and planned individualized drug delivery strategies.
Area of Science:
- Oncology
- Mathematical Biology
- Pharmacology
Background:
- Optimizing cancer drug delivery is crucial for patient survival and minimizing side effects.
- Mathematical modeling and control theory offer personalized treatment planning.
- Drug resistance presents a significant challenge in cancer therapy, potentially leading to treatment failure.
Purpose of the Study:
- To propose a mathematical model for melanoma tumor cell growth dynamics.
- To investigate the efficacy of dual antiplatelet therapy (DAPT) in reducing tumor growth rate.
- To develop an individualized optimal drug delivery plan using finite-set model predictive control.
Main Methods:
- A mathematical model was developed to describe melanoma tumor cell growth.
- Model parameters were identified using experimental data from 13 male nude mice with induced melanoma cancer undergoing DAPT.
- Finite-set model predictive control was employed to determine optimal drug delivery strategies.
Main Results:
- The study successfully identified model parameters based on experimental data.
- The mathematical model demonstrated the ability to estimate the impact of DAPT on melanoma treatment.
- Individualized optimal drug delivery plans were generated for each animal model.
Conclusions:
- The proposed mathematical model effectively estimates drug effects in melanoma cancer treatment.
- Individualized optimal drug delivery planning is feasible using model predictive control.
- This approach holds promise for improving cancer therapy outcomes by addressing drug resistance and optimizing treatment regimens.
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