TRAVELLING WAVES FOR LOW–GRADE GLIOMA GROWTH AND RESPONSE TO A CHEMOTHERAPY MODEL

Agnieszka Bartłomiejczyk; Marek Bodnar; Magdalena U. Bogdańska; Monika Piotrowska

doi:10.34768/amcs-2023-0041

TRAVELLING WAVES FOR LOW–GRADE GLIOMA GROWTH AND RESPONSE TO A CHEMOTHERAPY MODEL

Abstract

Low-grade gliomas (LGGs) are primary brain tumours which evolve very slowly in time, but inevitably cause patient death. In this paper, we consider a PDE version of the previously proposed ODE model that describes the changes in the densities of functionally alive LGGs cells and cells that are irreversibly damaged by chemotherapy treatment. Besides the basic mathematical properties of the model, we study the possibility of the existence of travelling wave solutions in the framework of Fenichel’s invariant manifold theory. The estimates of the minimum speeds of the travelling wave solutions are provided. The obtained analytical results are illustrated by numerical simulations.

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Authors (4)

Agnieszka Bartłomiejczyk dr
Marek Bodnar dr hab.
- Uniwersytet Warszawski
Magdalena U. Bogdańska dr
Monika Piotrowska dr hab.
- Uniwersytet Warszawski

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Category:

Articles

Type:

artykuły w czasopismach

Published in:

International Journal of Applied Mathematics and Computer Science no. 33, pages 569 - 581,
ISSN: 1641-876X

Language:

English

Publication year:

2023

Bibliographic description:

Bartłomiejczyk A., Bodnar M., Bogdańska M. U., Piotrowska M.: TRAVELLING WAVES FOR LOW–GRADE GLIOMA GROWTH AND RESPONSE TO A CHEMOTHERAPY MODEL// International Journal of Applied Mathematics and Computer Science -,iss. 4 (2023), s.569-581

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