Abstract
In this chapter we present a novel framework that enables a rigorous analysis of processes occurring on three (or more) independent scales (e.g. intracellular, cellular, tissue). We give details of the establishment of this new multiscale concept and discuss a number of important fundamental properties that follow. This framework also offers a new platform for the analysis of a new type of multiscale model for cancer invasion that we propose. This new model focuses on the macroscopic dynamics of the distributions of cancer cells and of the surrounding extracellular matrix and its connection with the microscale dynamics of the matrix degrading enzymes, produced at the level of the individual cancer cells.
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Acknowledgments
MAJC and DT gratefully acknowledge the support of the European Research Council through the ERC AdG Grant 227619 From Mutations to Metastases: Multiscale Mathematical Modelling of Cancer Growth and Spread.
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Trucu, D., Chaplain, M.A.J. (2014). Multiscale Analysis and Modelling for Cancer Growth and Development. In: Delitala, M., Ajmone Marsan, G. (eds) Managing Complexity, Reducing Perplexity. Springer Proceedings in Mathematics & Statistics, vol 67. Springer, Cham. https://doi.org/10.1007/978-3-319-03759-2_5
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DOI: https://doi.org/10.1007/978-3-319-03759-2_5
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