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Mathematical Methods and Models in Biomedicine pp 179–202Cite as

The Steady State of Multicellular Tumour Spheroids: A Modelling Challenge

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Abstract

Cells from different tumour cell lines can be grown in vitro to form spheroidal masses, called multicellular tumour spheroids, currently considered valuable experimental models of avascular tumours [35, 37, 50, 51, 58]. Multicellular tumour spheroids have been extensively investigated in that they provide a useful model to assess the effects of oxygenation and nutrition on growth, as well as the effects of treatments with drugs and radiation.

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Acknowledgements

The present work was partially supported by the PRIN (2008): “Modelli matematici per sistemi a molte componenti nelle scienze mediche ed ambientali” (MIUR).

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Authors and Affiliations

  1. Dipartimento di Matematica “U. Dini”, Universita’ di Firenze, Viale Morgagni 67/A, 50134, Firenze, Italy

    Antonio Fasano

  2. Istituto di Analisi dei Sistemi ed Informatica “A. Ruberti” - CNR, Viale Manzoni 30, 00185, Roma, Italy

    Antonio Fasano & Alberto Gandolfi

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  1. Antonio Fasano
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  2. Alberto Gandolfi
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Correspondence to Antonio Fasano .

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Editors and Affiliations

  1. , Mathematics and Statistics, Southern Illinois University Edwardsvill, Edwardsville, 62026, Illinois, USA

    Urszula Ledzewicz

  2. , Electrical and Systems Engineering, Washington University, Brookings Drive 1, Saint Louis, 63130, Missouri, USA

    Heinz Schättler

  3. Mathematical Biosciences Institute, Ohio State University, W. 18th Avenue 231, Columbus, 43210-1292, Ohio, USA

    Avner Friedman

  4. Tel Aviv University, Ramat Aviv, Tel Aviv, 69978, Israel

    Eugene Kashdan

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Fasano, A., Gandolfi, A. (2013). The Steady State of Multicellular Tumour Spheroids: A Modelling Challenge. In: Ledzewicz, U., Schättler, H., Friedman, A., Kashdan, E. (eds) Mathematical Methods and Models in Biomedicine. Lecture Notes on Mathematical Modelling in the Life Sciences. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4178-6_7

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