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 proceedingChapter (peer-reviewed)

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 languageEnglish
Title of host publicationManaging Complexity, Reducing Perplexity
Subtitle of host publicationModeling Biological Systems
EditorsMarcello Delitala, Giulia Ajmone Marsan
Place of PublicationBerlin
PublisherSpringer International Publishing
Pages45-53
Number of pages9
Volume67
ISBN (Electronic)9783319037592
ISBN (Print)9783319037585
DOIs
Publication statusPublished - 2014
Event1st 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 201120 May 2011
http://www.eurasc.org/kepler2010/index.html

Publication series

NameSpringer Proceedings in Mathematics & Statistics
PublisherSpringer
Volume67
ISSN (Print)2194-1009

Workshop

Workshop1st Kepler Prize Workshop of the European Academy of Sciences (EURASC) - “Managing Complexity, Reducing Perplexity”: a Workshop on Complex Living Systems
CountryGermany
CityHeidelberg
Period16/05/1120/05/11
Internet address

Fingerprint

Multiscale Modeling
Multiscale Analysis
Cancer
Multiscale Model
Cell
Invasion
Enzymes
Framework
Model

Keywords

  • Cancer invasion
  • Computational simulations
  • Multiscale modelling

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). Berlin: Springer International Publishing. https://doi.org/10.1007/978-3-319-03759-2_5
Trucu, Dumitru ; Chaplain, Mark A J. / Multiscale analysis and modelling for cancer growth and development. Managing Complexity, Reducing Perplexity: Modeling Biological Systems. editor / Marcello Delitala ; Giulia Ajmone Marsan. Vol. 67 Berlin : Springer International Publishing, 2014. pp. 45-53 (Springer Proceedings in Mathematics & Statistics).
@inbook{84157b58ac3142b696067f4e36ec34ba,
title = "Multiscale analysis and modelling for cancer growth and development",
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",
author = "Dumitru Trucu and Chaplain, {Mark A J}",
year = "2014",
doi = "10.1007/978-3-319-03759-2_5",
language = "English",
isbn = "9783319037585",
volume = "67",
series = "Springer Proceedings in Mathematics & Statistics",
publisher = "Springer International Publishing",
pages = "45--53",
editor = "Delitala, {Marcello } and Marsan, {Giulia Ajmone }",
booktitle = "Managing Complexity, Reducing Perplexity",
address = "Switzerland",

}

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 proceedingChapter (peer-reviewed)

TY - CHAP

T1 - Multiscale analysis and modelling for cancer growth and development

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

UR - http://www.scopus.com/inward/record.url?scp=84927642290&partnerID=8YFLogxK

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

VL - 67

T3 - Springer Proceedings in Mathematics & Statistics

SP - 45

EP - 53

BT - Managing Complexity, Reducing Perplexity

A2 - Delitala, Marcello

A2 - Marsan, Giulia Ajmone

PB - Springer International Publishing

CY - Berlin

ER -

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