Zhuman, Gulnissa2022-05-112022-05-112022-05Gulnissa Zhuman (2022). Existence of a Traveling Wave Solution to Glioblastoma Multiforme Model with Modified Gompertz Growth Function. Nazarbayev University, Nur-sultan, Kazakhstanhttp://nur.nu.edu.kz/handle/123456789/6143This thesis explores a model for aggressive brain cancer - glioblastoma multiforme, with modified gompertzian growth function. Density-dependent diffusion term, taxis, and growth functions are included in the model that considers the glioblastoma mul tiforme properties. The experimental data of Stein et al. [58] has been used in this work. The given model is solved both analytically and numerically by using the Mat lab program. The analytical method finds the condition for existing a traveling wave solution of the given glioblastoma model and numerical computations are done by using the Nelder-Mead simplex algorithm that minimizes the function through which it finds the optimal parameters of the model. The simulation results confirm the analytical predictions.enAttribution-NonCommercial-ShareAlike 3.0 United StatesType of access: Embargobrain cancerglioblastoma multiformeMaster's thesis