A novel 3D atomistic-continuum cancer invasion model: in silico simulations of an \textit{in vitro} organotypic invasion assay

DOI10.1016/j.jtbi.2021.110677zbMath1465.92026OpenAlexW3141594163WikidataQ111492307 ScholiaQ111492307MaRDI QIDQ2029564

Nikolaos Sfakianakis, Linnea C. Franssen, Mark A. J. Chaplain

Publication date: 3 June 2021

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2021.110677

zbMATH Keywords

cancer invasionatomistic-continuum modelorganotypic assay

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Pathology, pathophysiology (92C32)

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Uses Software

• Matlab
• ParaView

Cites Work

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• MATHEMATICAL MODELLING OF CANCER CELL INVASION OF TISSUE: THE ROLE OF THE UROKINASE PLASMINOGEN ACTIVATION SYSTEM
• A mathematical multi-organ model for bidirectional epithelial–mesenchymal transitions in the metastatic spread of cancer
• Handbook of metaheuristics
• A trust region method based on interior point techniques for nonlinear programming.