A Hybrid Multiscale Model for Cancer Invasion of the Extracellular Matrix.pdf (4.52 MB)
A hybrid multiscale model for cancer invasion of the extracellular matrix
Version 2 2023-06-12, 09:22
Version 1 2023-06-09, 20:40
journal contribution
posted on 2023-06-12, 09:22 authored by Nikolaos Sfakianakis, Anotida MadzvamuseAnotida Madzvamuse, Mark A J ChaplainThe 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.
Funding
InCeM: Research Training Network on Integrated Component Cycling in Epithelial Cell Motility; G1546; EUROPEAN UNION
Unravelling new mathematics for 3D cell migration; G1438; LEVERHULME TRUST; RPG-2014-149
New predictive mathematical and computational models in experimental sciences; G1949; ROYAL SOCIETY; WM160017
History
Publication status
- Published
File Version
- Published version
Journal
Multiscale Modeling and Simulation: A SIAM Interdisciplinary JournalISSN
1540-3459Publisher
Society for Industrial and Applied MathematicsExternal DOI
Issue
2Volume
18Page range
824-850Pages
24.0Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2020-02-19First Open Access (FOA) Date
2020-05-19First Compliant Deposit (FCD) Date
2020-02-18Usage metrics
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