Multiscale analysis and modelling for cancer growth and development: Managing Complexity, Reducing Perplexity

Dumitru Trucu; Mark A J Chaplain

doi:10.1007/978-3-319-03759-2_5

Multiscale analysis and modelling for cancer growth and development: Managing Complexity, Reducing Perplexity

Dumitru Trucu, Mark A J Chaplain

Applied Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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 extracellularmatrix and its connection with themicroscale dynamics of the matrix degrading enzymes, produced at the level of the individual cancer cells.

Original language	English
Title of host publication	Managing Complexity, Reducing Perplexity
Editors	Giulia Ajmone Marsan
Place of Publication	Berlin
Publisher	Springer
Pages	45-53
Number of pages	9
Volume	67
ISBN (Print)	9783319037585
DOIs	https://doi.org/10.1007/978-3-319-03759-2_5
Publication status	Published - 2014

Publication series

Name	Springer Proceedings in Mathematics & Statistics

Keywords

Cancer invasion
Computational simulations
Multiscale modelling
Mathematics(all)

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1007/978-3-319-03759-2_5

Cite this

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Multiscale analysis and modelling for cancer growth and development: Managing Complexity, Reducing Perplexity. / Trucu, Dumitru; Chaplain, Mark A J.
Managing Complexity, Reducing Perplexity. ed. / Giulia Ajmone Marsan. Vol. 67 Berlin: Springer, 2014. p. 45-53 (Springer Proceedings in Mathematics & Statistics).

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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KW - Cancer invasion

KW - Computational simulations

KW - Multiscale modelling

KW - Mathematics(all)

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Multiscale analysis and modelling for cancer growth and development: Managing Complexity, Reducing Perplexity

Abstract

Publication series

Keywords

UN SDGs

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