| Abstract: |
| Gliomas are widespread and invasive brain tumors. Except for grade I gliomas, which can be cured after complete surgical resection, the prognosis remains poor for grade II to IV gliomas, despite radiotherapy and chemotherapy treatments. Recent studies have shown that lactate plays an important role in tumor growth, and new therapeutic strategies targeting lactate metabolism have emerged.
In this talk, I will present a mathematical model (in the form of partial differential equations) that describe both the temporal evolution of tumor cell density and lactate kinetics within the tumor. Two therapies are incorporated into the model: a chemotherapy treatment and a therapy specifically targeting lactate production or transport. These treatments are considered as control functions, and we seek an optimal therapeutic strategy, i.e., patient-specific dosages that are as low as possible to minimize side effects without reducing treatment efficacy.
I will present results related to the mathematical analysis of these models and propose several numerical simulations to illustrate our findings. |
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