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3D Multiscale Modelling of Angiogenesis and Vascular Tumour Growth

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Micro and Nano Flow Systems for Bioanalysis

Part of the book series: Bioanalysis ((BIOANALYSIS,volume 2))

Abstract

We present a three-dimensional, multiscale model of vascular tumour growth, which couples nutrient/growth factor transport, blood flow, angiogenesis, vascular remodelling, movement of and interactions between normal and tumour cells, and nutrient-dependent cell cycle dynamics within each cell. We present computational simulations which show how a vascular network may evolve and interact with tumour and healthy cells. We also demonstrate how our model may be combined with experimental data, to predict the spatio-temporal evolution of a vascular tumour.

The chapter is based on Perfahl et al., 2011, Multiscale Modelling of Vascular Tumour Growth in 3D: The Roles of Domain Size and Boundary Conditions. PLoS ONE 6(4): e14790. doi:10.1371/journal.pone.0014790

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Notes

  1. 1.

    https://computation.llnl.gov/casc/sundials/main.html.

  2. 2.

    http://crd.lbl.gov/~xiaoye/SuperLU/.

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Acknowledgements

HMB, MRO and HP acknowledge financial support by the Marie Curie Network MMBNOTT (Project No. MEST-CT-2005-020723). RAG and PKM acknowledge partial support from NIH/NCI grant U54CA143970. HP, AL and MR thank the BMBF—Funding Initiative FORSYS Partner: “Predictive Cancer Therapy”. In vivo window chamber work was funded in part by Moffitt Cancer Center PS-OC NIH/NCI U54CA143970. This publication was based on work supported in part by Award No. KUK-C1-1013-04, made by King Abdullah University of Science and Technology (KAUST).

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Authors and Affiliations

  1. Center for Systems-Biology, University of Stuttgart, Stuttgart, Germany

    H. Perfahl, A. Lapin & M. Reuss

  2. Oxford Centre for Collaborative Applied Mathematics, Department of Computer Science, University of Oxford, Oxford, UK

    H. M. Byrne

  3. H. Lee Moffitt Cancer Center & Research Institute, Tampa, FL, 33612, USA

    T. Chen, V. Estrella, R. A. Gatenby, R. J. Gillies & M. C. Lloyd

  4. Centre de Recerca Matemàtica, Campus de Bellaterra, Barcelona, Spain

    T. Alarcón

  5. Centre for Mathematical Biology, Mathematical Institute and Oxford Centre for Integrative Systems Biology, Department of Biochemistry, University of Oxford, Oxford, UK

    P. K. Maini

  6. Centre for Mathematical Medicine and Biology, School of Mathematical Sciences, University of Nottingham, Nottingham, UK

    M. R. Owen

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  1. H. Perfahl
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  2. H. M. Byrne
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  3. T. Chen
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  4. V. Estrella
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  5. T. Alarcón
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  6. A. Lapin
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  7. R. A. Gatenby
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  8. R. J. Gillies
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  9. M. C. Lloyd
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  10. P. K. Maini
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  11. M. Reuss
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  12. M. R. Owen
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Correspondence to H. Perfahl .

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Editors and Affiliations

  1. , School of Engineering & Design, Brunel University, London, UB8 3PH, United Kingdom

    Michael W. Collins

  2. , Brunel Institute for Bioengineering, Brunel University, London, UB8 3PH, United Kingdom

    Carola S. Koenig

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Perfahl, H. et al. (2013). 3D Multiscale Modelling of Angiogenesis and Vascular Tumour Growth. In: Collins, M., Koenig, C. (eds) Micro and Nano Flow Systems for Bioanalysis. Bioanalysis, vol 2. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4376-6_3

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  • DOI: https://doi.org/10.1007/978-1-4614-4376-6_3

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