RT Journal Article
T1 Analyzing the impact of proliferation and treatment parameters on low-grade glioma growth using mathematical models
A1 Bodnar, M.
A1 Vela Pérez, María
A1 Tryniecka-Maciążek, A.
AB Low-grade gliomas (LGGs) are characterized by their slow growth and infiltrative nature, making complete surgical resection challenging and often resulting in the need for adjunctive therapies. This study introduces a mathematical model appeared in Ribba et al. (2012) aimed at elucidating the growth patterns of LGGs and their response to chemotherapy. Our model undergoes validation against clinical data, demonstrating its efficacy in accurately describing real patient data. Through mathematical analysis, we establish the existence of a unique non-negative solution and delve into the stability of steady-state solutions. Notably, we establish the global stability of a tumor-free equilibrium under conditions of sufficiently robust constant and asymptotically dynamics in the case of periodic treatment. Additionally, a sensitivity analysis highlights the proliferation rate as the primary determinant of model outcomes. Finally, numerical simulations are employed to explore the stability of the fitting procedure.
PB Elsevier
SN 0167-2789
YR 2025
FD 2025-02-01
LK https://hdl.handle.net/20.500.14352/113462
UL https://hdl.handle.net/20.500.14352/113462
LA eng
NO Bodnar M, Vela-Pérez M, Tryniecka-Maciążek A. Analyzing the impact of proliferation and treatment parameters on low-grade glioma growth using mathematical models. Physica D: Nonlinear Phenomena 2025; 472: 134491. [DOI: 10.1016/j.physd.2024.134491]
NO Ministerio de Ciencia e Innovación (España)
DS Docta Complutense
RD 8 abr 2025