3D Multiscale Modelling of Angiogenesis and Vascular Tumour Growth - Bioanalysis Advanced Materials Methods and Devices - page 28

Chapter 3
3D Multiscale Modelling of Angiogenesis
and Vascular Tumour Growth
H. Perfahl, H.M. Byrne, T. Chen, V. Estrella, T. Alarc´n, A. Lapin,
R.A. Gatenby, R.J. Gillies, M.C. Lloyd, P.K. Maini, M. Reuss,
and M.R. Owen
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
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
H. Perfahl ( * ) • A. Lapin • M. Reuss
Center for Systems-Biology, University of Stuttgart, Stuttgart, Germany
e-mail: [e-mail] ; [e-mail] ; [e-mail]
H.M. Byrne
Oxford Centre for Collaborative Applied Mathematics, Department of Computer Science,
University of Oxford, Oxford, UK
e-mail: [e-mail]
T. Chen • V. Estrella • R.A. Gatenby • R.J. Gillies • M.C. Lloyd
H. Lee Moffitt Cancer Center & Research Institute, Tampa FL 33612, USA
e-mail: [e-mail] ; [e-mail] ; [e-mail] ;
[e-mail] ; [e-mail]
T. Alarc ´ n
Centre de Recerca Matem ` tica, Campus de Bellaterra, Barcelona, Spain
e-mail: [e-mail]
P.K. Maini
Centre for Mathematical Biology, Mathematical Institute and Oxford Centre for Integrative
Systems Biology, Department of Biochemistry, University of Oxford, Oxford, UK
e-mail: [e-mail]
M.R. Owen
Centre for Mathematical Medicine and Biology, School of Mathematical Sciences,
University of Nottingham, Nottingham, UK
e-mail: [e-mail]