A hybrid multiscale model for cancer invasion of the extracellular matrix

Sfakianakis, Nikolaos, Madzvamuse, Anotida and Chaplain, Mark A J (2020) A hybrid multiscale model for cancer invasion of the extracellular matrix. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 18 (2). pp. 824-850. ISSN 1540-3459

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Abstract

The ability to locally degrade the extracellular matrix (ECM) and interact with the tumour microenvironment is a key process distinguishing cancer from normal cells, and is a critical step in the metastatic spread of the tumour. The invasion of the surrounding tissue involves the coordinated action between cancer cells, the ECM, the matrix degrading enzymes, and the epithelialto-mesenchymal transition. This is a regulatory process through which epithelial cells (ECs) acquire mesenchymal characteristics and transform to mesenchymal-like cells (MCs). In this paper, we present a new mathematical model which describes the transition from a collective invasion strategy for the ECs to an individual invasion strategy for the MCs. We achieve this by formulating a coupled hybrid system consisting of partial and stochastic di erential equations that describe the evolution of the ECs and the MCs, respectively. 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 appearance of EC invasion islands outside of the main body of the tumour.

Item Type: Article
Keywords: cancer invasion, multiscale modelling, hybrid continuum-discrete, coupled partial
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
SWORD Depositor: Mx Elements Account
Depositing User: Mx Elements Account
Date Deposited: 19 Feb 2020 09:41
Last Modified: 10 Jun 2020 13:47
URI: http://sro.sussex.ac.uk/id/eprint/89977

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