Mathematical modelling of cancer invasion : a review
Abstract
A defining feature of cancer is the capability to spread locally into the surrounding tissue, with cancer cells spreading beyond any normal boundaries. Cancer invasion is a complex phenomenon involving many inter-connected processes at different spatial and temporal scales. A key component of invasion is the ability of cancer cells to alter and degrade the extracellular matrix through the secretion of matrix-degrading enzymes. Combined with excessive cell proliferation and cell migration (individual and collective), this facilitates the spread of cancer cells into the local tissue. Along with tumour-induced angiogenesis, invasion is a critical component of metastatic spread, ultimately leading to the formation of secondary tumours in other parts of the host body. In this paper we present an overview of the various mathematical models and different modelling techniques and approaches that have been developed over the past 25 years or so and which focus on various aspects of the invasive process.
Citation
Sfakianakis , N & Chaplain , M 2021 , Mathematical modelling of cancer invasion : a review . in T Suzuki , C Poignard , M Chaplain & V Quaranta (eds) , Methods of Mathematical Oncology : Fusion of Mathematics and Biology, Osaka, Japan, October 26–28, 2020 . Springer Proceedings in Mathematics & Statistics , vol. 370 , Springer , Singapore , pp. 153-172 , International Conference by Center for Mathematical Modeling and Data Science , Japan , 26/10/20 . https://doi.org/10.1007/978-981-16-4866-3_10 conference
Publication
Methods of Mathematical Oncology
ISSN
2194-1017Type
Conference item
Description
Funding: MAJC gratefully acknowledges the support of EPSRC Grant No. EP/S030875/1 (EPSRC SofTMech∧MP Centre-to-Centre Award).Collections
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