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

Dumitru Trucu, Mark A J Chaplain

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish
Title of host publicationManaging Complexity, Reducing Perplexity
EditorsGiulia Ajmone Marsan
Place of PublicationBerlin
PublisherSpringer
Pages45-53
Number of pages9
Volume67
ISBN (Print)9783319037585
DOIs
Publication statusPublished - 2014

Publication series

NameSpringer Proceedings in Mathematics & Statistics

Keywords

  • Cancer invasion
  • Computational simulations
  • Multiscale modelling
  • Mathematics(all)

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