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

UN SDGs

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

SDG 3 Good Health and Well-being

Keywords

Cancer invasion
Computational simulations
Multiscale modelling
Mathematics(all)

Access to Document

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

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Cite this

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

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.",

keywords = "Cancer invasion, Computational simulations, Multiscale modelling, Mathematics(all)",

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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

TY - CHAP

T1 - Multiscale analysis and modelling for cancer growth and development

T2 - Managing Complexity, Reducing Perplexity

AU - Trucu, Dumitru

AU - Chaplain, Mark A J

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

KW - Cancer invasion

KW - Computational simulations

KW - Multiscale modelling

KW - Mathematics(all)

UR - https://www.scopus.com/pages/publications/84927642290

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M3 - Chapter

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VL - 67

T3 - Springer Proceedings in Mathematics & Statistics

SP - 45

EP - 53

BT - Managing Complexity, Reducing Perplexity

A2 - Marsan, Giulia Ajmone

PB - Springer

CY - Berlin

ER -

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

Abstract

Publication series

UN SDGs

Keywords

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