Treatment-induced shrinking of tumour aggregates: a nonlinear volume-filling chemotactic approach.
J Math Biol
; 83(3): 29, 2021 08 24.
Article
em En
| MEDLINE
| ID: mdl-34427771
ABSTRACT
Motivated by experimental observations in 3D/organoid cultures derived from glioblastoma, we propose a novel mechano-transduction mechanism where the introduction of a chemotherapeutic treatment induces mechanical changes at the cell level. We analyse the influence of these individual mechanical changes on the properties of the aggregates obtained at the population level. We employ a nonlinear volume-filling chemotactic system of partial differential equations, where the elastic properties of the cells are taken into account through the so-called squeezing probability, which depends on the concentration of the treatment in the extracellular microenvironment. We explore two scenarios for the effect of the treatment first, we suppose that the treatment acts only on the mechanical properties of the cells and, in the second one, we assume it also prevents cell proliferation. We perform a linear stability analysis which enables us to identify the ability of the system to create patterns and fully characterize their size. Moreover, we provide numerical simulations in 1D and 2D that illustrate the shrinking of the aggregates due to the presence of the treatment.
Palavras-chave
Texto completo:
1
Coleções:
01-internacional
Base de dados:
MEDLINE
Assunto principal:
Quimiotaxia
/
Neoplasias
Limite:
Humans
Idioma:
En
Revista:
J Math Biol
Ano de publicação:
2021
Tipo de documento:
Article
País de afiliação:
França