L. Sheiner and J. Wakefield, Population modelling in drug development, Statistical Methods in Medical Research, vol.24, issue.3, pp.183-193, 1999.
DOI : 10.1177/096228029900800302

]. G. Pillai, F. Mentré, and J. L. Steimer, Non-Linear Mixed Effects Modeling ??? From Methodology and Software Development to Driving Implementation in Drug Development Science, Journal of Pharmacokinetics and Pharmacodynamics, vol.72, issue.6, pp.32-161, 2005.
DOI : 10.1007/s10928-005-0062-y

]. A. Atkinson and A. N. Donev, Optimum Experimental Designs Walter and L. Pronzato, Identification of Parametric Models from experimental Data Optimal design in random effect regression models, Biometrika, pp.84-429, 1992.

]. S. Retout and F. Mentré, Further Developments of the Fisher Information Matrix in Nonlinear Mixed Effects Models with Evaluation in Population Pharmacokinetics, Journal of Biopharmaceutical Statistics, vol.13, issue.2, pp.209-227, 2003.
DOI : 10.1081/BIP-100101009

]. S. Retout and F. Mentré, Optimization of Individual and Population Designs Using Splus, Journal of Pharmacokinetics and Pharmacodynamics, vol.30, issue.6, pp.417-443, 2003.
DOI : 10.1023/B:JOPA.0000013000.59346.9a

]. S. Retout, F. Mentré, and R. Bruno, Fisher information matrix for non-linear mixedeffects models: evaluation and application for optimal design of enoxaparin population pharmacokinetics, pp.2623-2639, 2002.

B. Green and S. B. , Prospective Evaluation of a D-Optimal Designed Population Pharmacokinetic Study, Journal of Pharmacokinetics and Pharmacodynamics, vol.30, issue.2, pp.145-161, 2003.
DOI : 10.1023/A:1024467714170

F. Mentré, C. Dubruc, and J. P. Thenot, Population pharmacokinetic analysis and optimization of the experimental design for mizolastine solution in children, Journal of Pharmacokinetics and Pharmacodynamics, vol.28, issue.3, pp.299-319, 2001.
DOI : 10.1023/A:1011583210549

S. Retout, S. Duffull, and F. Mentré, Development and implementation of the population Fisher information matrix for the evaluation of population pharmacokinetic designs, Computer Methods and Programs in Biomedicine, vol.65, issue.2, pp.65-141, 2001.
DOI : 10.1016/S0169-2607(00)00117-6

S. Retout, E. Comets, and F. Mentré, Design optimisation in nonlinear mixed effects models using cost functions: application to a joint model of infliximab and methotrexate pharmacokinetics, 2009.

J. A. Nelder and R. Mead, A Simplex Method for Function Minimization, The Computer Journal, vol.7, issue.4, pp.308-313, 1965.
DOI : 10.1093/comjnl/7.4.308

C. Bazzoli, S. Retout, and F. Mentre, Fisher information matrix for nonlinear mixed effects multiple response models: Evaluation of the appropriateness of the first order linearization using a pharmacokinetic/pharmacodynamic model, Statistics in Medicine, vol.60, issue.14, pp.28-1940, 2009.
DOI : 10.1111/j.0006-341X.2004.00148.x

URL : https://hal.archives-ouvertes.fr/inserm-00371363

I. Gueorguieva, L. Aarons, K. Ogungbenro, K. M. Jorga, T. Rodgers et al., Optimal Design for Multivariate Response Pharmacokinetic Models, Journal of Pharmacokinetics and Pharmacodynamics, vol.30, issue.2, pp.33-97, 2006.
DOI : 10.1007/s10928-006-9009-1

A. Hooker and P. Vicini, Simultaneous population optimal design for pharmacokinetic-pharmacodynamic experiments, The AAPS Journal, vol.7, issue.4, pp.759-785, 2005.
DOI : 10.1208/aapsj070476

M. Lavielle, MONOLIX (MOdèles NOn LInéaires à effets miXtes), MONOLIX group, 2005.

S. Retout, E. Comets, A. Samson, and F. Mentré, Design in nonlinear mixed effects models: Optimization using the Fedorov???Wynn algorithm and power of the Wald test for binary covariates, Statistics in Medicine, vol.39, issue.28, pp.26-5162, 2007.
DOI : 10.1002/sim.2910

URL : https://hal.archives-ouvertes.fr/hal-00263513

R. Development and C. Team, R: A Language and Environment for Statistical Computing, R Foundation for Statistical Computing, 2004.

M. L. Lindstrom and D. M. Bates, Nonlinear Mixed Effects Models for Repeated Measures Data, Biometrics, vol.46, issue.3, pp.46-673, 1990.
DOI : 10.2307/2532087

J. Pinheiro and D. M. Bates, Mixed-effects models in S and Splus, 2000.

A. C. Hindmarsh and . Odepack, A systematized collection of ODE solvers, Scientific Computing: Applications of Mathematics and Computing to the Physical Sciences, pp.55-64, 1983.

L. R. Petzold, Automatic Selection of Methods for Solving Stiff and Nonstiff Systems of Ordinary Differential Equations, SIAM Journal on Scientific and Statistical Computing, vol.4, issue.1, pp.136-148, 1983.
DOI : 10.1137/0904010

V. V. Fedorov, Theory of Optimal Experiments, 1972.

H. P. Wynn, Results in the construction of D-optimum experimental designs, J R Statist Soc, vol.34, pp.133-147, 1972.

R. A. O-'reilly and P. M. Aggeler, Studies on coumarin anticoagulant drugs. Initiation of warfarin therapy without a loading dose, Circulation, pp.38-169, 1968.

R. A. O-'reilly, P. M. Aggeler, and L. S. Leong, Studies on the Coumarin Anticoagulant Drugs: the Pharmacodynamics of Warfarin in Man, J Clin Invest, pp.42-1542, 1963.

N. H. Holford, Clinical Pharmacokinetics and Pharmacodynamics of Warfarin, Clinical Pharmacokinetics, vol.11, issue.6, pp.483-504, 1986.
DOI : 10.2165/00003088-198611060-00005

S. Retout, C. Bazzoli, E. Comets, H. L. Nagard, and F. Mentré, Population designs evaluation and optimisation in R: the PFIM function and its new features, in: 16th Meeting of Population Group Approach in, EuropePAGE), 2007.

C. Bazzoli, S. Retout, E. Rey, H. Benech, J. M. Tréluyer et al., Mentré and the COPHAR2-ANRS 111 study group, Population pharmacokinetic of AZT and its active metabolite AZT-TP in HIV patients, pp.2-111

F. Mentré, S. Duffull, I. Gueorguieva, A. Hooker, S. Leonov et al., Software for optimal design in population pharmacokinetics and pharmacodynamics: a comparison, Population Approach Group in Europe, 2007.

K. Ogungbenro, G. Graham, I. Gueorguieva, and L. Aarons, Incorporating Correlation in Interindividual Variability for the Optimal Design of Multiresponse Pharmacokinetic Experiments, Journal of Biopharmaceutical Statistics, vol.12, issue.2, pp.18-342, 2008.
DOI : 10.1007/s10928-005-0026-2