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

• Autorzy: Bartłomiejczyk Agnieszka , Bodnar Marek , Bogdańska Magdalena U. , Piotrowska Monika J.

Identyfikatory

DOI

10.34768/amcs-2023-0041

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

low grade glioma; generalized model; partial differential equation; wave solution; chemotherapy model

PL

glejak; model uogólniony; równanie różniczkowe cząstkowe; rozwiązanie falowe; model chemioterapii

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2023
• Tom: Vol. 33, no. 4
• Strony: 569--581
• Opis fizyczny: Bibliogr. 25 poz., rys., wykr.

Twórcy

autor

Bartłomiejczyk Agnieszka

• Faculty of Applied Physics and Mathematics/BioTechMed Centre, Gdańsk University of Technology, ul. Narutowicza 11/12, 80-233 Gdańsk, Poland

autor

Bodnar Marek

• Institute of Applied Mathematics and Mechanics, University of Warsaw, ul. Banacha 2, 02-097 Warsaw, Poland

autor

Bogdańska Magdalena U.

• IT Analytics, Equinix, pl. Europejski 1, 00-844 Warsaw, Poland

autor

Piotrowska Monika J.

• Institute of Applied Mathematics and Mechanics, University of Warsaw, ul. Banacha 2, 02-097 Warsaw, Poland

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).