A hybrid multiscale model for cancer invasion of the extracellular matrix

• Verfasst von: Sfakianakis, Nikolaos [VerfasserIn]
• Verfasst von: Madzvamuse, Anotida [VerfasserIn]
• Verfasst von: Chaplain, Mark [VerfasserIn]
• Titel: A hybrid multiscale model for cancer invasion of the extracellular matrix
• Verf.angabe: Nikolaos Sfakianakis, Anotida Madzvamuse, and Mark A.J. Chaplain
• E-Jahr: 2020
• Jahr: May 13, 2020
• Umfang: 27 S.
• Fussnoten: Gesehen am 11.08.2020
• Titel Quelle: Enthalten in: Multiscale modeling & simulation
• Ort Quelle: Philadelphia, Pa. : SIAM, 2003
• Jahr Quelle: 2020
• Band/Heft Quelle: 18(2020), 2, Seite 824-850
• ISSN Quelle: 1540-3467
• DOI: doi:10.1137/18M1189026
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1726739074

Abstract

The ability to locally degrade the extracellular matrix (ECM) and interact with the tumor microenvironment is a key process distinguishing cancer cells from normal cells, and is a critical step in the metastatic spread of the tumor. The invasion of the surrounding tissue involves the coordinated action of the cancer cells, the ECM, the matrix degrading enzymes, and the epithelial-to-mesenchymal transition. In this paper, we present a mathematical model which describes the transition from an epithelial invasion strategy of the epithelial-like cells (ECs) to an individual invasion strategy for the mesenchymal-like cells (MCs). We achieve this by formulating a genuinely multiscale and hybrid system consisting of partial and stochastic differential equations that describe the evolution of the ECs and the MCs while accounting for the transitions between them. This approach allows one to reproduce, in a very natural way, fundamental qualitative features of the current biomedical understanding of cancer invasion that are not easily captured by classical modelling approaches, for example, the invasion of the ECM by self-generated gradients, and the formation of EC invasion islands outside of the main body of the tumor.