J. Au, P. Guo, Y. Gao, Z. Lu, . Michaelg et al., Multiscale Tumor Spatiokinetic Model for Intraperitoneal Therapy, The AAPS Journal, vol.16, issue.3, pp.424-439, 2014.
DOI : 10.1208/s12248-014-9574-y

T. Christopher, . Baker, A. Christopher, and . Paul, Computing stability regions-Runge-Kutta methods for delay differential equations, IMA Journal of Numerical Analysis, vol.14, issue.3, pp.347-362, 1994.

C. T. Baker, G. A. Bocharov, and C. A. Paul, Mathematical Modelling of the Interleukin-2 T-Cell System: A Comparative Study of Approaches Based on Ordinary and Delay Differential Equation, Journal of Theoretical Medicine, vol.1, issue.2, pp.117-128, 1997.
DOI : 10.1080/10273669708833012

. S. Phylindal, P. Chan, M. Jacqmin, L. Lavielle, B. Mcfadyen et al., The use of the SAEM algorithm in MONOLIX software for estimation of population pharmacokinetic-pharmacodynamic-viral dynamics parameters of maraviroc in asymptomatic HIV subjects, Journal of Pharmacokinetics and Pharmacodynamics, vol.38, issue.1, pp.41-61, 2011.

P. G. Ciarlet, Finite Element Method for Elliptic Problems, Society for Industrial and Applied Mathematics, 2002.

R. Courant, K. Friedrichs, and H. Lewy, ???ber die partiellen Differenzengleichungen der mathematischen Physik, Mathematische Annalen, vol.98, issue.6, pp.32-74, 1928.
DOI : 10.1007/BF01448839

R. Courant, K. Friedrichs, and H. Lewy, On the Partial Difference Equations of Mathematical Physics, IBM Journal of Research and Development, vol.11, issue.2, pp.215-234, 1967.
DOI : 10.1147/rd.112.0215

A. Ern and J. Guermond, Theory and practice of finite elements, Applied Mathematical Sciences, vol.159, 2004.
DOI : 10.1007/978-1-4757-4355-5

H. B. Frieboes, M. E. Edgerton, J. P. Fruehauf, F. R. Rose, L. K. Worrall et al., Prediction of Drug Response in Breast Cancer Using Integrative Experimental/Computational Modeling, Cancer Research, vol.69, issue.10, pp.694484-4492, 2009.
DOI : 10.1158/0008-5472.CAN-08-3740

J. L. Gevertz, Computational modeling of tumor response to vascular-targeting therapie ;part i: Validation, Computational and Mathematical Methods in Medicine, 2011.

V. Girault and P. Raviart, Finite element methods for Navier-Stokes equations : theory and algorithms. Springer series in computational mathematics Extended version of : Finite element approximation of the Navier-Stokes equations, 1986.
DOI : 10.1007/978-3-642-61623-5

E. Grenier, V. Louvet, and P. Vigneaux, Parameter estimation in nonlinear mixed effects models with SAEM algorithm: extension from ODE to PDE, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00936373

K. Gopal, R. Gupta, P. E. Sacks-davis, and . Tescher, A review of recent developments in solving ODEs, ACM Comput. Surv, vol.17, issue.1, pp.5-47, 1985.

F. Hecht, New development in freefem++, Journal of Numerical Mathematics, vol.20, issue.3-4, pp.251-265, 2012.
DOI : 10.1515/jnum-2012-0013

R. Kuate, M. Lavielle, E. Blaudez, K. Chatel, J. Marquet et al., A delay differential equation solver for MONOLIX & MLXPLORE, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00952874

M. Lavielle, Mixed effects models for the population approach: models, tasks, methods and tools. Chapman & Hall, CRC Biostatistics Series. Taylor and Francis, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01122873

M. Lavielle and C. Mbogning, An improved SAEM algorithm for maximum likelihood estimation in mixtures of non linear mixed effects models, Statistics and Computing, vol.85, issue.433, pp.1-15, 2013.
DOI : 10.1007/s11222-013-9396-2
URL : https://hal.archives-ouvertes.fr/hal-00916817

M. Lavielle and F. Mentré, Estimation of Population Pharmacokinetic Parameters of Saquinavir in HIV Patients with the MONOLIX Software, Journal of Pharmacokinetics and Pharmacodynamics, vol.32, issue.2, pp.229-249, 2007.
DOI : 10.1007/s10928-006-9043-z
URL : https://hal.archives-ouvertes.fr/inserm-00156907

D. Makowski and M. Lavielle, Using SAEM to estimate parameters of models of response to applied fertilizer, Journal of Agricultural, Biological, and Environmental Statistics, vol.11, issue.1, pp.45-60, 2006.
DOI : 10.1198/108571106X95728

L. R. Petzold, L. O. Jay, and J. Yen, Numerical solution of highly oscillatory ordinary differential equations, Acta Numerica, vol.14, issue.2, pp.437-483, 1997.
DOI : 10.1007/BF01600630

O. Pironneau, Finite element methods for fluids Ouvrage paru en français dans la coll, 1989.

E. Rogers, Stability and convergence of approximation schemes, Journal of Mathematical Analysis and Applications, vol.20, issue.3, pp.442-453, 1967.
DOI : 10.1016/0022-247X(67)90072-8

S. Ruiz, . Conil, . Georges, . Ravat, . Seguin et al., Ceftazidime dosage regimen recommendations in burn patients based on a Monolix population pharmacokinetic study, Critical Care, vol.16, issue.Suppl 1, pp.1-189, 2012.
DOI : 10.1186/cc10673

J. M. Sanz-serna and M. N. Spijker, Regions of stability, equivalence theorems and the Courant-Friedrichs-Lewy condition, Numerische Mathematik, vol.18, issue.2-3, pp.319-329, 1986.
DOI : 10.1007/BF01389633

M. Radojka, F. Savic, M. Mentré, and . Lavielle, Implementation and evaluation of the SAEM algorithm for longitudinal ordered categorical data with an illustration in pharmacokinetics-pharmacodynamics, The AAPS Journal, vol.13, issue.1, pp.44-53, 2011.

J. Srividhya, S. Ms-gopinathan, and . Schnell, The effects of time delays in a phosphorylation???dephosphorylation pathway, Biophysical Chemistry, vol.125, issue.2-3, pp.286-297, 2007.
DOI : 10.1016/j.bpc.2006.09.001

S. M. Wise, J. S. Lowengrub, and V. Cristini, An adaptive multigrid algorithm for simulating solid tumor growth using mixture models, Mathematical and Computer Modelling, vol.53, issue.1-2, pp.1-20, 2011.
DOI : 10.1016/j.mcm.2010.07.007

S. M. Wise, J. S. Lowengrub, H. B. Frieboes, and V. Cristini, Three-dimensional multispecies nonlinear tumor growth???I, Journal of Theoretical Biology, vol.253, issue.3, pp.524-543, 2008.
DOI : 10.1016/j.jtbi.2008.03.027

S. Wise, J. Kim, and J. Lowengrub, Solving the regularized, strongly anisotropic Cahn???Hilliard equation by an adaptive nonlinear multigrid method, Journal of Computational Physics, vol.226, issue.1, pp.414-446, 2007.
DOI : 10.1016/j.jcp.2007.04.020

M. Wu, H. B. Frieboes, S. R. Mcdougall, M. A. Chaplain, V. Cristini et al., The effect of interstitial pressure on tumor growth: Coupling with the blood and lymphatic vascular systems, Journal of Theoretical Biology, vol.320, issue.0, pp.320131-151, 2013.
DOI : 10.1016/j.jtbi.2012.11.031

X. Xun, J. Cao, B. Mallick, A. Maity, and R. J. Carroll, Parameter Estimation of Partial Differential Equation Models, Journal of the American Statistical Association, vol.17, issue.503, pp.1009-1020
DOI : 10.1198/016214502388618861