Multiscale analysis and modelling for cancer growth and development

Dumitru Trucu; Mark A J Chaplain

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

Multiscale analysis and modelling for cancer growth and development

Dumitru Trucu (Lead / Corresponding author)
, Mark A J Chaplain (Lead / Corresponding author)

Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed) › peer-review

3 Citations (Scopus)

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
Subtitle of host publication	Modeling Biological Systems
Editors	Marcello Delitala, Giulia Ajmone Marsan
Place of Publication	Berlin
Publisher	Springer International Publishing
Pages	45-53
Number of pages	9
Volume	67
ISBN (Electronic)	9783319037592
ISBN (Print)	9783319037585
DOIs	https://doi.org/10.1007/978-3-319-03759-2_5
Publication status	Published - 2014
Event	1st Kepler Prize Workshop of the European Academy of Sciences (EURASC) - “Managing Complexity, Reducing Perplexity”: a Workshop on Complex Living Systems - Heidelberg, Germany Duration: 16 May 2011 → 20 May 2011 http://www.eurasc.org/kepler2010/index.html

Publication series

Name	Springer Proceedings in Mathematics & Statistics
Publisher	Springer
Volume	67
ISSN (Print)	2194-1009

Workshop

Workshop	1st Kepler Prize Workshop of the European Academy of Sciences (EURASC) - “Managing Complexity, Reducing Perplexity”: a Workshop on Complex Living Systems
Country/Territory	Germany
City	Heidelberg
Period	16/05/11 → 20/05/11
Internet address	http://www.eurasc.org/kepler2010/index.html

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

ASJC Scopus subject areas

General Mathematics

Access to Document

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

Cite this

Trucu, D., & Chaplain, M. A. J. (2014). Multiscale analysis and modelling for cancer growth and development. In M. Delitala, & G. A. Marsan (Eds.), Managing Complexity, Reducing Perplexity: Modeling Biological Systems (Vol. 67, pp. 45-53). (Springer Proceedings in Mathematics & Statistics; Vol. 67). Springer International Publishing. https://doi.org/10.1007/978-3-319-03759-2_5

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Trucu, D & Chaplain, MAJ 2014, Multiscale analysis and modelling for cancer growth and development. in M Delitala & GA Marsan (eds), Managing Complexity, Reducing Perplexity: Modeling Biological Systems. vol. 67, Springer Proceedings in Mathematics & Statistics, vol. 67, Springer International Publishing, Berlin, pp. 45-53, 1st Kepler Prize Workshop of the European Academy of Sciences (EURASC) - “Managing Complexity, Reducing Perplexity”: a Workshop on Complex Living Systems, Heidelberg, Germany, 16/05/11. https://doi.org/10.1007/978-3-319-03759-2_5

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

Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed) › peer-review

TY - CHAP

T1 - Multiscale analysis and modelling for cancer growth and development

AU - Trucu, Dumitru

AU - Chaplain, Mark A J

PY - 2014

Y1 - 2014

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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

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

U2 - 10.1007/978-3-319-03759-2_5

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

M3 - Chapter (peer-reviewed)

AN - SCOPUS:84927642290

SN - 9783319037585

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T3 - Springer Proceedings in Mathematics & Statistics

SP - 45

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BT - Managing Complexity, Reducing Perplexity

A2 - Delitala, Marcello

A2 - Marsan, Giulia Ajmone

PB - Springer International Publishing

CY - Berlin

T2 - 1st Kepler Prize Workshop of the European Academy of Sciences (EURASC) - “Managing Complexity, Reducing Perplexity”: a Workshop on Complex Living Systems

Y2 - 16 May 2011 through 20 May 2011

ER -

Multiscale analysis and modelling for cancer growth and development

Abstract

Publication series

Workshop

UN SDGs

Keywords

ASJC Scopus subject areas

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