B. Sheiner and S. Beal, Evaluation of methods for estimating population pharmacokinetic parameters II. Biexponential model and experimental pharmacokinetic data, Journal of Pharmacokinetics and Biopharmaceutics, vol.8, issue.5
DOI : 10.1007/BF01061030

L. Sheiner and S. Beal, Evaluation of methods for estimating population pharmacokinetic parameters. I. Michaelis-menten model: Routine clinical pharmacokinetic data, Journal of Pharmacokinetics and Biopharmaceutics, vol.39, issue.6, pp.553-71, 1980.
DOI : 10.1007/BF01060053

L. Sheiner and S. Beal, Evaluation of methods for estimating population pharmacokinetic parameters. III. Monoexponential model: Routine clinical pharmacokinetic data, Journal of Pharmacokinetics and Biopharmaceutics, vol.26, issue.3, pp.303-322, 1983.
DOI : 10.1007/BF01061870

E. Ette and P. Williams, Population pharmacokinetics I: background, concepts, and models. The Annals of Pharmacotherapy, pp.1702-1708, 2004.

E. Ette and P. Williams, Population Pharmacokinetics II: Estimation Methods. The Annals of Pharmacotherapy, pp.1907-1922, 2004.

L. Sheiner, B. Rosenberg, and V. Marathe, Estimation of population characteristics of pharmacokinetic parameters from routine clinical data, Journal of Pharmacokinetics and Biopharmaceutics, vol.15, issue.5, pp.445-79, 1977.
DOI : 10.1007/BF01061728

S. Beal and L. Sheiner, Heteroscedastic Nonlinear Regression, Technometrics, vol.9, issue.3, pp.327-365, 1988.
DOI : 10.1080/00401706.1988.10488406

Y. Wang, Derivation of various NONMEM estimation methods, Journal of Pharmacokinetics and Pharmacodynamics, vol.80, issue.5, pp.575-93, 2007.
DOI : 10.1007/s10928-007-9060-6

G. Pillai, F. Mentre, and J. 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.161-83, 2005.
DOI : 10.1007/s10928-005-0062-y

S. Beal and L. Sheiner, The NONMEM System. The American Statistician, pp.118-127, 1980.

K. Karlsson, E. Plan, and M. Karlsson, Performance of the LAPLACE method in repeated time-to-event modeling

P. Girard and F. Mentré, A comparison of estimation methods in nonlinear mixed effects models using a blind analysis In: Population Approach Group in, Population Approach Group in Europe, 2005.

M. Lindstrom and D. Bates, Nonlinear Mixed Effects Models for Repeated Measures Data, Biometrics, vol.46, issue.3, pp.673-87, 1990.
DOI : 10.2307/2532087

J. Pinheiro and D. Bates, Approximations to the Log-Likelihood Function in the Nonlinear Mixed-Effects Model, J Computational Graphical Statistics, vol.4, issue.1, pp.12-35, 1995.

M. Abramowitz, I. Stegun, J. Pinheiro, and D. Bates, Handbook of Mathematical Functions, American Journal of Physics, vol.34, issue.2, 2000.
DOI : 10.1119/1.1972842

M. Lindstrom and D. Bates, Newton-Raphson and EM Algorithms for Linear Mixed-Effects Models for Repeated-Measures Data, J American Statistical Ass, vol.83, issue.4, pp.1014-1036, 1988.

M. Lavielle and F. Mentre, Estimation of Population Pharmacokinetic Parameters of Saquinavir in HIV Patients with the MONOLIX Software, Journal of Pharmacokinetics and Pharmacodynamics, vol.32, issue.2, pp.229-278, 2007.
DOI : 10.1007/s10928-006-9043-z

URL : https://hal.archives-ouvertes.fr/inserm-00156907

B. Delyon, M. Lavielle, and E. Moulines, Convergence of a stochastic approximation version of the EM algorithm, Annals of Statistics, vol.27, issue.1, pp.94-128, 1999.

L. Lindbom, P. Pihlgren, and E. Jonsson, PsN-Toolkit???A collection of computer intensive statistical methods for non-linear mixed effect modeling using NONMEM, Computer Methods and Programs in Biomedicine, vol.79, issue.3, pp.241-57, 2005.
DOI : 10.1016/j.cmpb.2005.04.005

P. Chan, P. Jacqmin, M. Lavielle, L. Mcfadyen, and B. Weatherley, The use of the SAEM algorithm in MONOLIX software for estimation of population pharmacokineticpharmacodynamic-viral dynamics parameters of maraviroc in asymptomatic HIV subjects, J Pharmacokin Pharmacodyn, pp.1-21