J. Murray, Mathematical biology, 2002.

P. Tracqui, G. Cruywagen, D. Woodward, G. Bartoo, J. Murray et al., A mathematical model of glioma growth: the effect of chemotherapy on spatio-temporal growth, Cell Proliferation, vol.32, issue.1, pp.17-31, 1995.
DOI : 10.1016/S0022-5193(87)80171-6

R. Rockne, E. A. Jr, J. Rockhill, and K. Swanson, A mathematical model for brain tumor response to radiation therapy, Journal of Mathematical Biology, vol.246, issue.(Suppl 13), pp.4-5, 2009.
DOI : 10.1007/s00285-008-0219-6

K. Swanson, E. Alvord, and J. Murray, Virtual resection of gliomas: Effect of extent of resection on recurrence, Mathematical and Computer Modelling, vol.37, issue.11, pp.1177-1190, 2003.
DOI : 10.1016/S0895-7177(03)00129-8

E. Stretton, E. Mandonnet, E. Geremia, B. H. Menze, H. Delingette et al., Predicting the Location of Glioma Recurrence after a Resection Surgery, Proceedings of 2nd International MICCAI Workshop on Spatiotemporal Image Analysis for Longitudinal and Time-Series Image Data (STIA'12), ser. LNCS. Nice, 2012.
DOI : 10.1007/978-3-642-33555-6_10
URL : https://hal.archives-ouvertes.fr/hal-00813870

O. Saut, J. Lagaert, T. Colin, and H. M. Fathallah-shaykh, A Multilayer Grow-or-Go Model for GBM: Effects of Invasive Cells and Anti-Angiogenesis on Growth, Bulletin of Mathematical Biology, vol.91, issue.Suppl 1, pp.2306-2333, 2014.
DOI : 10.1007/s11538-014-0007-y
URL : https://hal.archives-ouvertes.fr/hal-01038063

E. Scribner, O. Saut, P. Province, A. Bag, T. Colin et al., Effects of Anti-Angiogenesis on Glioblastoma Growth and Migration: Model to Clinical Predictions, PLoS ONE, vol.28, issue.12, p.115018, 2014.
DOI : 10.1371/journal.pone.0115018.s006
URL : https://hal.archives-ouvertes.fr/hal-01101651

F. Raman, E. Scribner, O. Saut, C. Wenger, T. Colin et al., Computational Trials: Unraveling Motility Phenotypes, Progression Patterns, and Treatment Options for Glioblastoma Multiforme, PLOS ONE, vol.59, issue.15, 2016.
DOI : 10.1371/journal.pone.0146617.t007
URL : https://hal.archives-ouvertes.fr/hal-01396271

K. Kristiansen, S. Hagen, T. Kollevold, A. Torvik, I. Holme et al., Combined modality therapy of operated astrocytomas grade III and IV. Confirmation of the value of postoperative irradiation and lack of potentiation of bleomycin on survival time: A prospective multicenter trial of the scandinavian glioblastoma study group, Cancer, vol.49, issue.4, pp.649-652, 1981.
DOI : 10.1002/1097-0142(19810215)47:4<649::AID-CNCR2820470405>3.0.CO;2-W

I. J. Barani and D. A. Larson, Radiation therapy of glioblastoma, " in Current Understanding and Treatment of Gliomas, pp.49-73, 2015.

W. Mason, R. Del-maestro, D. Eisenstat, P. Forsyth, D. Fulton et al., Canadian Recommendations for the Treatment of Glioblastoma Multiforme, Current Oncology, vol.14, issue.3, p.110, 2007.
DOI : 10.3747/co.2007.119

D. Corwin, C. Holdsworth, R. C. Rockne, A. D. Trister, M. M. Mrugala et al., Toward Patient-Specific, Biologically Optimized Radiation Therapy Plans for the Treatment of Glioblastoma, PLoS ONE, vol.14, issue.11, 2013.
DOI : 10.1371/journal.pone.0079115.t002

C. Holdsworth, D. Corwin, R. Stewart, R. Rockne, A. Trister et al., Adaptive IMRT Using a Multiobjective Evolutionary Algorithm Integrated With a Diffusion-Invasion Model for Glioblastoma, International Journal of Radiation Oncology*Biology*Physics, vol.84, issue.3, p.8271, 2012.
DOI : 10.1016/j.ijrobp.2012.07.2028

R. Rockne, J. Rockhill, M. Mrugala, A. Spence, I. Kalet et al., a mathematical modeling approach, Physics in Medicine and Biology, vol.55, issue.12, p.3271, 2010.
DOI : 10.1088/0031-9155/55/12/001

R. C. Rockne, A. D. Trister, J. Jacobs, A. J. Hawkins-daarud, M. L. Neal et al., A patient-specific computational model of hypoxia-modulated radiation resistance in glioblastoma using 18F-FMISO-PET, Journal of The Royal Society Interface, vol.2, issue.3, p.20141174, 2015.
DOI : 10.2174/1874120700802010043

J. Unkelbach, B. H. Menze, E. Konukoglu, F. Dittmann, N. Ayache et al., Radiotherapy planning for glioblastoma based on a tumor growth model: implications for spatial dose redistribution, Physics in Medicine and Biology, vol.59, issue.3, p.771, 2014.
DOI : 10.1088/0031-9155/59/3/771
URL : https://hal.archives-ouvertes.fr/hal-00917846

J. Unkelbach, B. H. Menze, E. Konukoglu, F. Dittmann, M. Le et al., Radiotherapy planning for glioblastoma based on a tumor growth model: improving target volume delineation, Physics in Medicine and Biology, vol.59, issue.3, p.747, 2014.
DOI : 10.1088/0031-9155/59/3/747
URL : https://hal.archives-ouvertes.fr/hal-00917869

M. Lê, J. Unkelbach, N. Ayache, and H. Delingette, Gpssi: Gaussian process for sampling segmentations of images, Medical Image Computing and Computer-Assisted Intervention?MICCAI 2015, pp.38-46, 2015.

B. Menze, A. Jakab, S. Bauer, J. Kalpathy-cramer, and K. Farahani, The Multimodal Brain Tumor Image Segmentation Benchmark (BRATS), IEEE Transactions on Medical Imaging, vol.34, issue.10, 1993.
DOI : 10.1109/TMI.2014.2377694
URL : https://hal.archives-ouvertes.fr/hal-00935640

]. A. Gooya, K. M. Pohl, M. Bilello, L. Cirillo, G. Biros et al., GLISTR: Glioma Image Segmentation and Registration, IEEE Transactions on Medical Imaging, vol.31, issue.10, pp.1941-1954, 2012.
DOI : 10.1109/TMI.2012.2210558
URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4371551

M. Lê, H. Delingette, J. Kalpathy-cramer, E. R. Gerstner, T. Batchelor et al., Bayesian personalization of brain tumor growth model, Medical Image Computing and Computer-Assisted Intervention?MICCAI 2015, pp.424-432, 2015.

E. Konukoglu, O. Clatz, P. Bondiau, H. Delingette, and N. Ayache, Extrapolating glioma invasion margin in brain magnetic resonance images: Suggesting new irradiation margins, Medical Image Analysis, vol.14, issue.2, pp.111-125, 2010.
DOI : 10.1016/j.media.2009.11.005
URL : https://hal.archives-ouvertes.fr/inria-00616107

H. Yoshida and M. Nagaoka, Multiple-Relaxation-Time LBM for the convection and anisotropic diffusion equation, Journal of Computational Physics, vol.229, issue.20, 2010.

D. Yu, R. Mei, L. Luo, and W. Shyy, Viscous flow computations with the method of lattice Boltzmann equation, Progress in Aerospace Sciences, pp.329-367, 2003.
DOI : 10.1016/S0376-0421(03)00003-4

O. Clatz, M. Sermesant, P. Bondiau, H. Delingette, S. K. Warfield et al., Realistic simulation of the 3-D growth of brain tumors in MR images coupling diffusion with biomechanical deformation, IEEE Transactions on Medical Imaging, vol.24, issue.10, pp.1334-1346, 2005.
DOI : 10.1109/TMI.2005.857217

K. Swanson, R. Rostomily, and E. Alvord, A mathematical modelling tool for predicting survival of individual patients following resection of glioblastoma: a proof of principle, British Journal of Cancer, vol.170, issue.1, pp.113-119, 2008.
DOI : 10.1002/(SICI)1096-9098(199912)72:4<199::AID-JSO4>3.0.CO;2-O

A. L. Baldock, K. Yagle, D. E. Born, S. Ahn, A. D. Trister et al., Invasion and proliferation kinetics in enhancing gliomas predict IDH1 mutation status, Neuro-Oncology, vol.16, issue.6, pp.779-786, 2014.
DOI : 10.1093/neuonc/nou027

C. E. Rasmussen, Gaussian processes to speed up hybrid Monte Carlo for expensive Bayesian integrals, pp.651-659, 2003.

J. O. Deasy, A. I. Blanco, and V. H. Clark, CERR: A computational environment for radiotherapy research, Medical Physics, vol.30, issue.5, pp.979-985, 2003.
DOI : 10.1118/1.1568978

H. L. Harpold, E. C. Jr, and K. R. Swanson, The Evolution of Mathematical Modeling of Glioma Proliferation and Invasion, Journal of Neuropathology and Experimental Neurology, vol.66, issue.1, 2007.
DOI : 10.1097/nen.0b013e31802d9000