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Published in:
Mathematical Ecology of Cancer Read chapter Read first chapter

2014 | OriginalPaper | Chapter

Multiscale Analysis and Modelling for Cancer Growth and Development

Authors : Dumitru Trucu, Mark A. J. Chaplain

Published in: Managing Complexity, Reducing Perplexity

Publisher: Springer International Publishing

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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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previous chapter A Hybrid Model for E. coli Chemotaxis: From Signaling Pathway to Pattern Formation
next chapter A Non-linear Flux-Limited Model for the Transport of Morphogens
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Metadata
Title
Multiscale Analysis and Modelling for Cancer Growth and Development
Authors
Dumitru Trucu
Mark A. J. Chaplain
Copyright Year
2014
Book
Managing Complexity, Reducing Perplexity

Print ISBN: 978-3-319-03758-5

Electronic ISBN: 978-3-319-03759-2

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-319-03759-2_5

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