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International Conference by Center for Mathematical Modeling and Data Science, Osaka University

MMDS 2020: Methods of Mathematical Oncology pp 124–140Cite as

Multi-level Mathematical Models for Cell Migration in Confined Environments

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 370))

Abstract

The aim of this contribution is to put together in a systematic way several approaches operating at different scales that were recently developed to describe the phenomenon of physical limit of migration, that occurs when the environment surrounding cells results restrictive, and to apply it to tumour growth and invasion. In particular, we will present: (i) a mechanical model of the behaviour of a cell within a microchannel that gives a blockage criterium for its penetration; (ii) a cellular Potts model to describe the dependence of the speed of a malignant cell from the mechanical characteristics both of its compartments (i.e., nucleus and cytosol) and of its environment; (iii) a multiphase model embodying such effects; (iv) the proper interface conditions to implement to deal with tumour invasion across matrix membranes and cell linings.

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Author information

Authors and Affiliations

  1. Politecnico di Torino, 10134, Torino, Italy

    Luigi Preziosi & Marco Scianna

Authors
  1. Luigi Preziosi
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  2. Marco Scianna
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Corresponding author

Correspondence to Luigi Preziosi .

Editor information

Editors and Affiliations

  1. Centre for Mathematical Modeling and Data Science, Osaka University, Toyonaka, Japan

    Takashi Suzuki

  2. Research Team MONC, Institut de Mathématiques de Bordeaux (CNRS UMR 5251), Talence, France

    Clair Poignard

  3. School of Mathematics and Statistics, MI, University of St Andrews, St Andrews, UK

    Mark Chaplain

  4. Quantitative Systems Biology Center, Vanderbilt University School of Medicine, Nashville, TN, USA

    Vito Quaranta

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Preziosi, L., Scianna, M. (2021). Multi-level Mathematical Models for Cell Migration in Confined Environments. In: Suzuki, T., Poignard, C., Chaplain, M., Quaranta, V. (eds) Methods of Mathematical Oncology. MMDS 2020. Springer Proceedings in Mathematics & Statistics, vol 370. Springer, Singapore. https://doi.org/10.1007/978-981-16-4866-3_8

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