8 ? Cas 37, à gauche la dynamique de type « exponentielle ,
A cellular automaton model for tumour growth in inhomogeneous environment, Journal of Theoretical Biology, vol.225, issue.12, pp.257-274, 2003. ,
ON THE CLOSURE OF MASS BALANCE MODELS FOR TUMOR GROWTH, Mathematical Models and Methods in Applied Sciences, vol.12, issue.05, pp.737-754, 2002. ,
DOI : 10.1142/S0218202502001878
Tumor morphology and phenotypic evolution driven by selective pressure from the microenvironment, Cell, vol.127, issue.5, pp.905-915, 2006. ,
Cell proliferation and differentiation, Cancer Medicine, 2006. ,
Mathematical and numerical analysis for a model of growing metastatic tumors, Mathematical Biosciences, vol.218, issue.1, pp.1-14, 2009. ,
DOI : 10.1016/j.mbs.2008.11.008
URL : https://hal.archives-ouvertes.fr/hal-00262335
Classical mathematical models for description and prediction of eximental tumor growth, PLoS computational biology, issue.8, pp.10-1003800, 2014. ,
Classical Mathematical Models for Description and Prediction of Experimental Tumor Growth, PLoS Computational Biology, vol.90, issue.8, pp.10-1003800, 2014. ,
DOI : 10.1371/journal.pcbi.1003800.s010
Optimisation aérodynamique par réduction de modèle POD et contrôle optimal : application au sillage laminaire d'un cylindre circulaire, 2004. ,
Random forests, Machine Learning, vol.45, issue.1, pp.5-32, 2001. ,
DOI : 10.1023/A:1010933404324
A viscoelastic model for avascular tumor growth, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00839434
Computational Modeling of Solid Tumor Growth: The Avascular Stage, SIAM Journal on Scientific Computing, vol.32, issue.4, pp.2321-2344, 2010. ,
DOI : 10.1137/070708895
URL : https://hal.archives-ouvertes.fr/inria-00148610
An age-and-cyclin-structured cell population model for healthy and tumoral tissues, Journal of Mathematical Biology, vol.16, issue.6, pp.91-110, 2008. ,
DOI : 10.1007/s00285-007-0147-x
Individual-based and continuum models of growing cell populations: a comparison, Journal of Mathematical Biology, vol.14, issue.1, pp.657-687, 2009. ,
DOI : 10.1007/s00285-008-0212-0
Angiogenesis in cancer and other diseases, Nature, vol.407, issue.6801, pp.249-257, 2000. ,
DOI : 10.1038/35025220
Benoît Perthame , et al. A mathematical model of the cell cycle and its control, 2003. ,
In Silico Tumor Growth: Application to Glioblastomas, Medical Image Computing and Computer-Assisted Intervention?MICCAI 2004, pp.337-345, 2004. ,
DOI : 10.1007/978-3-540-30136-3_42
URL : https://hal.archives-ouvertes.fr/inria-00615984
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.241334-1346, 2005. ,
DOI : 10.1109/TMI.2005.857217
Prediction of the evolution of thyroidal lung nodules using a mathematical model, ERCIM News, pp.37-45, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-01038030
Patient-specific simulation of tumor growth, response to the treatment, and relapse of a lung metastasis: a clinical case, Journal of Computational Surgery, vol.99, issue.2, pp.1-17, 2015. ,
DOI : 10.1186/s40244-014-0014-1
Patient specific image driven evaluation of the aggressiveness of metastases to the lung, MICCAI (1), pp.553-560, 2014. ,
System identification in tumor growth modeling using semi-empirical eigenfunctions, Mathematical Models and Methods in Applied Sciences, issue.06, pp.22-2012 ,
A chemotaxis model motivated by angiogenesis, Comptes Rendus Mathematique, vol.336, issue.2, pp.141-146, 2003. ,
DOI : 10.1016/S1631-073X(02)00008-0
Decision forests for computer vision and medical image analysis, 2013. ,
DOI : 10.1007/978-1-4471-4929-3
Decision forests with long-range spatial context for organ localization in ct volumes, Medical Image Computing and Computer-Assisted Intervention (MIC- CAI), pp.69-80, 2009. ,
TVD finite difference schemes and artificial viscosity. Number 84. National Aeronautics and Space Administration, 1984. ,
Multiscale cancer modeling. Annual review of biomedical engineering, 2011. ,
Problèmes inverses pour les modèles de croissance tumorale, 2011. ,
Role of angiogenesis in tumor growth and metastasis, Seminars in oncology, pp.15-18, 2002. ,
Forêts aléatoires : aspects théoriques, sélection de variables et applications, 2010. ,
Classification forests for semantic segmentation of brain lesions in multichannel mri. In Decision Forests for Computer Vision and Medical Image Analysis, pp.245-260, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00931809
On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies, Philosophical transactions of the Royal Society of London, pp.513-583 ,
Algebraic point set surfaces, ACM Transactions on Graphics, vol.26, issue.3, p.23, 2007. ,
DOI : 10.1145/1276377.1276406
URL : https://hal.archives-ouvertes.fr/inria-00354998
Tumor development under angiogenic signaling a dynamical theory of tumor growth, treatment response, and postvascular dormancy, Cancer research, vol.59, pp.4770-4775, 1999. ,
The evolution of mathematical modeling of glioma proliferation and invasion, Journal of Neuropathology & Experimental Neurology, vol.66, issue.1, pp.1-9, 2007. ,
An image-driven parameter estimation problem for a reaction???diffusion glioma growth model with mass effects, Journal of Mathematical Biology, vol.10, issue.3, pp.793-825, 2008. ,
DOI : 10.1007/s00285-007-0139-x
A High-Order WENO Finite Difference Scheme for the Equations of Ideal Magnetohydrodynamics, Journal of Computational Physics, vol.150, issue.2, pp.561-594, 1999. ,
DOI : 10.1006/jcph.1999.6207
Galerkin proper orthogonal decomposition methods for parabolic problems, Numerische Mathematik, vol.90, issue.1, pp.117-148, 2001. ,
DOI : 10.1007/s002110100282
Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics, SIAM Journal on Numerical Analysis, vol.40, issue.2, pp.492-515, 2002. ,
DOI : 10.1137/S0036142900382612
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
Image Guided Personalization of Reaction-Diffusion Type Tumor Growth Models Using Modified Anisotropic Eikonal Equations, IEEE Transactions on Medical Imaging, vol.29, issue.1, pp.77-95, 2010. ,
DOI : 10.1109/TMI.2009.2026413
URL : https://hal.archives-ouvertes.fr/inria-00616100
Delaunay triangulation of surfaces, Zeitschrift für angewandte Mathematik und Mechanik, pp.487-488, 1996. ,
Control of the Burgers Equation by a Reduced-Order Approach Using Proper Orthogonal Decomposition, Journal of Optimization Theory and Applications, vol.6, issue.2, pp.345-371, 1999. ,
DOI : 10.1023/A:1021732508059
Modélisation de la croissance tumorale : estimation de paramètres d'un modèle de croissance et introduction d'un modèle spécifique aux gliomes de tout grade, 2011. ,
Multimodal analysis of vasogenic edema in glioblastoma patients for radiotherapy planning, Workshop Image-Guided Adaptive Radiation Therapy ,
Random Forest Classification for Automatic Delineation of Myocardium in Real-Time 3D Echocardiography, Functional Imaging and Modeling of the Heart, pp.447-456, 2009. ,
DOI : 10.1109/TMI.2007.906089
PROPER ORTHOGONAL DECOMPOSITION AND ITS APPLICATIONS???PART I: THEORY, Journal of Sound and Vibration, vol.252, issue.3, pp.527-544, 2002. ,
DOI : 10.1006/jsvi.2001.4041
Prognostic value of preoperative metabolic tumor volumes on pet-ct in predicting disease-free survival of patients with stage i non-small cell lung cancer, Anticancer Res, vol.32, issue.11, pp.5087-91, 2012. ,
Mathematical modeling of tumor-induced angiogenesis, Journal of Mathematical Biology, vol.49, issue.2, 2004. ,
Polygons have ears, American Mathematical Monthly, pp.648-651, 1975. ,
Factorial sampling plans for preliminary computational experiments, Technometrics, vol.33, issue.2, pp.161-174, 1991. ,
A gompertzian model of human breast cancer growth, Cancer research, vol.4824, issue.1, pp.7067-7071, 1988. ,
New applications of magnetic resonance imaging for thoracic oncology. Seminars in respiratory and critical care medicine, pp.27-40, 2014. ,
Tumor development under angiogenic signaling : a dynamical theory of tumor growth, treatment, response and postvascular dormancy, Cancer Research, vol.59, 1999. ,
A cellular automaton model of early tumor growth and invasion : the effects of native tissue vascularity and increased anaerobic tumor metabolism, Journal of Theoretical Biology, vol.213, issue.3, pp.315-331, 2001. ,
The hele? shaw asymptotics for mechanical models of tumor growth Archive for Rational Mechanics and Analysis, pp.93-127, 2014. ,
Numerical recipes 3rd edition : The art of scientific computing, 2007. ,
Lung cancer screening : The radiologist's perspective. Seminars in respiratory and critical care medicine, pp.91-99, 2014. ,
Surgical Treatment of Metastatic Disease to the Lung, Seminars in Oncology, vol.35, issue.2, pp.134-180, 2008. ,
DOI : 10.1053/j.seminoncol.2007.12.010
A Tumor Growth Inhibition Model for Low-Grade Glioma Treated with Chemotherapy or Radiotherapy, Clinical Cancer Research, vol.18, issue.18, pp.5071-5080, 2012. ,
DOI : 10.1158/1078-0432.CCR-12-0084
URL : https://hal.archives-ouvertes.fr/hal-00744626
Using the gompertz?strehler model of aging and mortality to explain mortality trends in industrialized countries. Mechanisms of ageing and development A mathematical model for brain tumor response to radiation therapy, Journal of mathematical biology, vol.6562, issue.58, pp.217-2284, 1992. ,
Simple ODE models of tumor growth and anti-angiogenic or radiation treatment, Mathematical and Computer Modelling, vol.33, issue.12-13, pp.1297-1305, 2001. ,
DOI : 10.1016/S0895-7177(00)00316-2
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
A fifth-order accurate weighted enn difference scheme and its applications, JOURNAL OF COMPUTATIONAL MATHEMATICS-INTERNATIONAL EDITION, vol.19, issue.5, pp.531-538, 2001. ,
Pulmonary Radiofrequency Ablation: Long-term Safety and Efficacy in 153 Patients, Radiology, vol.243, issue.1, pp.243268-75, 2007. ,
DOI : 10.1148/radiol.2431060088
Finite difference schemes and partial differential equations . Siam, 2004. ,
Quantifying efficacy of chemotherapy of brain tumors with homogeneous and heterogeneous drug delivery, Acta biotheoretica, vol.50, issue.4, pp.223-237, 2002. ,
Virtual and real brain tumors : using mathematical modeling to quantify glioma growth and invasion, Journal of the neurological sciences, vol.216, issue.1, pp.1-10, 2003. ,
Le cancer, 2003. ,
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
The Relationship Between Volume or Surgeon Specialty and Outcome in the Surgical Treatment of Lung Cancer: A Systematic Review and Meta-Analysis, Journal of Thoracic Oncology, vol.7, issue.7, pp.1170-1178, 2012. ,
DOI : 10.1097/JTO.0b013e318257cc45
Local treatment of pulmonary metastases: from open resection to minimally invasive approach? Less morbidity, comparable local control, Surgical Endoscopy, vol.5, issue.Suppl 2, pp.2312-2333, 2012. ,
DOI : 10.1007/s00464-012-2181-z
Tumor growth prediction with hyperelastic biomechanical model, physiological data fusion, and nonlinear optimization, Medical Image Computing and Computer-Assisted Intervention?MICCAI 2014, pp.25-32, 2014. ,
Tumor growth prediction with reaction-diffusion and hyperelastic biomechanical model by physiological data fusion. Medical image analysis, 2015. ,
The role of the tumor-microenvironment in lung cancer-metastasis and its relationship to potential therapeutic targets, Cancer Treatment Reviews, vol.40, issue.4, 2013. ,
DOI : 10.1016/j.ctrv.2013.10.001
Decision Forests for Tissue-Specific Segmentation of High-Grade Gliomas in Multi-channel MR, Medical Image Computing and Computer-Assisted Intervention?MICCAI 2012, pp.369-376, 2012. ,
DOI : 10.1007/978-3-642-33454-2_46
The management of the advanced colorectal cancer : management of the pulmonary metastases, Journal of thoracic disease, vol.5, p.383, 2013. ,