Computational modelling and simulation of cancer growth and migration within a 3D heterogeneous tissue : the effects of fibre and vascular structure
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The term cancer covers a multitude of bodily diseases, broadly categorised by having cells which do not behave normally. Since cancer cells can arise from any type of cell in the body, cancers can grow in or around any tissue or organ making the disease highly complex. Our research is focused on understanding the specific mechanisms that occur in the tumour microenvironment via mathematical and computational modeling. We present a 3D individual-based model which allows one to simulate the behaviour of, and spatio-temporal interactions between, cells, extracellular matrix fibres and blood vessels. Each agent (a single cell, for example) is fully realised within the model and interactions are primarily governed by mechanical forces between elements. However, as well as the mechanical interactions we also consider chemical interactions, for example, by coupling the code to a finite element solver to model the diffusion of oxygen from blood vessels to cells. The current state of the art of the model allows us to simulate tumour growth around an arbitrary blood-vessel network or along the striations of fibrous tissue.
Macnamara , C K , Caiazzo , A , Ramis-Conde , I & Chaplain , M A J 2020 , ' Computational modelling and simulation of cancer growth and migration within a 3D heterogeneous tissue : the effects of fibre and vascular structure ' , Journal of Computational Science , vol. 40 , 101067 . https://doi.org/10.1016/j.jocs.2019.101067
Journal of Computational Science
Copyright © 2019 Elsevier B.V. All rights reserved. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1016/j.jocs.2019.101067
DescriptionFunding: MAJC and CKM gratefully acknowledge the support of EPSRC Grant No. EP/N014642/1 (EPSRC Centre for Multiscale Soft Tissue Mechanics - With Application to Heart & Cancer).
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