Creator:

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

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

Travelling waves for low-grade glioma growth and response to a chemotherapy model

Group publication title:

AMCS, volume 33 (2023)

Subject and Keywords:

glioma ; tumour ; generalized model ; treatment ; partial differential equations ; wave solutions ; chemotherapy

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2023

Resource Type:

artykuł

DOI:

10.34768/amcs-2023-0041

Pages:

569-581

Source:

AMCS, volume 33, number 4 (2023) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego