Tumor growth towards lower extracellular matrix conductivity regions under Darcy's Law and steady morphology.
J Math Biol
; 85(1): 5, 2022 07 07.
Article
em En
| MEDLINE
| ID: mdl-35796898
ABSTRACT
We study a classic Darcy's law model for tumor cell motion with inhomogeneous and isotropic conductivity. The tumor cells are assumed to be a constant density fluid flowing through porous extracellular matrix (ECM). The ECM is assumed to be rigid and motionless with constant porosity. One and two dimensional simulations show that the tumor mass grows from high to low conductivity regions when the tumor morphology is steady. In the one-dimensional case, we proved that when the tumor size is steady, the tumor grows towards lower conductivity regions. We conclude that this phenomenon is produced by the coupling of a special inward flow pattern in the steady tumor and Darcy's law which gives faster flow speed in higher conductivity regions.
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Coleções:
01-internacional
Base de dados:
MEDLINE
Assunto principal:
Neoplasias
Limite:
Humans
Idioma:
En
Revista:
J Math Biol
Ano de publicação:
2022
Tipo de documento:
Article