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Biomechanical modeling of cancer - Agent-based force-based models of solid tumours within the context of the tumour microenvironment
  • Cicely Macnamara
Cicely Macnamara
University of St Andrews

Corresponding Author:[email protected]

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Abstract

Once cancer is initiated, with normal cells mutated into malignant ones, a solid tumour grows, develops and spreads within its microenvironment invading the local tissue; the disease progresses and the cancer cells migrate around the body leading to metastasis, the formation of distant secondary tumours. Interactions between the tumour and its microenvironment drive this cascade of events which have devastating, if not fatal, consequences for the human host/patient. Among these interactions, biomechanical interactions are a vital component. In this paper, key biomechanical relationships are discussed through a review of modelling efforts by the mathematical and computational oncology community. The main focus is directed, naturally, towards lattice-free agent-based, force-based models of solid tumour growth and development. In such models interactions between pairs of cancer cells (as well as between cells and other structures of the tumour microenvironment) are governed by forces. These forces are ones of repulsion and adhesion, and are typically modelled via either an extended Hertz model of contact mechanics or using Johnson-Kendal-Roberts theory, both of which are discussed here. The role of the extracellular matrix in determining disease progression is outlined along with important cell-vessel interactions which combined together account for a great proportion of Hanahan and Weinberg’s “Hallmarks of Cancer”.
23 Dec 2020Submitted to Computational and Systems Oncology
30 Dec 2020Submission Checks Completed
30 Dec 2020Assigned to Editor
30 Dec 2020Reviewer(s) Assigned
03 Feb 2021Review(s) Completed, Editorial Evaluation Pending
08 Feb 2021Editorial Decision: Revise Major
11 Mar 20211st Revision Received
12 Mar 2021Review(s) Completed, Editorial Evaluation Pending
12 Mar 2021Submission Checks Completed
12 Mar 2021Assigned to Editor
12 Mar 2021Editorial Decision: Accept
Jun 2021Published in Computational and Systems Oncology volume 1 issue 2. https://doi.org/10.1002/cso2.1018