EXISTENCE OF A TRAVELING WAVE SOLUTION TO GLIOBLASTOMA MULTIFORME MODEL WITH MODIFIED GOMPERTZ GROWTH FUNCTION
| dc.contributor.author | Zhuman, Gulnissa | |
| dc.date.accessioned | 2022-05-11T08:31:55Z | |
| dc.date.available | 2022-05-11T08:31:55Z | |
| dc.date.issued | 2022-05 | |
| dc.description.abstract | This 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. | en_US |
| dc.identifier.citation | Gulnissa Zhuman (2022). Existence of a Traveling Wave Solution to Glioblastoma Multiforme Model with Modified Gompertz Growth Function. Nazarbayev University, Nur-sultan, Kazakhstan | en_US |
| dc.identifier.uri | http://nur.nu.edu.kz/handle/123456789/6143 | |
| dc.language.iso | en | en_US |
| dc.publisher | Nazarbayev University School of Sciences and Humanities | en_US |
| dc.rights | Attribution-NonCommercial-ShareAlike 3.0 United States | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/us/ | * |
| dc.subject | Type of access: Embargo | en_US |
| dc.subject | brain cancer | en_US |
| dc.subject | glioblastoma multiforme | en_US |
| dc.title | EXISTENCE OF A TRAVELING WAVE SOLUTION TO GLIOBLASTOMA MULTIFORME MODEL WITH MODIFIED GOMPERTZ GROWTH FUNCTION | en_US |
| dc.type | Master's thesis | en_US |
| workflow.import.source | science |