Mathematical modeling of glioblastoma tumor growth under the influence of chemotherapy with fluoropyrimidine polymer F10

WCU Author/Contributor (non-WCU co-authors, if there are any, appear on document)
Mitra Shabanisamghabady (Creator)
Western Carolina University (WCU )
Web Site:
Martin Tanaka

Abstract: Glioblastoma multiforme is the most common and most malignant primary tumor of the brain. Optimal therapy results in survival time of 15 months for newly diagnosed cancer and 5-7 months for recurrent disease. Malignant glioblastoma patients demonstrate limited response to conventional therapies that include surgery, radiation, and chemotherapy. New methods of therapy are urgently needed. Mathematical models are often used to understand and describe the behavior of brain tumors. These models can both increase our understanding of tumor growth, as well as aid in the development and preliminary testing of treatment options. In this research five classical cancer growth models, in form of ordinary differential equations (ODEs) were used. These models were exponential, logistic, generalized logistic, Gompertz and Von Bertalanffy growth models. Using data from an in-vivo experiment on glioblastoma, and a nonlinear least-squares solver in MATLAB (lsqcurvefit), the characteristic parameters of each model were found and then the models were compared to find the best fit. In the second part of the research, using Gompertz model, compartment modeling, in-vivo experiment data and lsqcurvefit function in MATLAB, the effect of chemotherapy with fluoropyrimidine polymer F10, was modeled. This model can later be used for preliminary testing and treatment options for glioblastomas.

Additional Information

Language: English
Date: 2016
Chemotherapy, curve fitting, Fluoropyrimidine Polymer F10, Glioblastoma growth, Mathematical Modeling, Ordinary differential equations
Tumors -- Growth -- Mathematical models
Tumors -- Growth -- Computer simulation
Cancer -- Chemotherapy
Brain -- Cancer -- Treatment

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