General software features
MONOLIX is a free software dedicated to the analysis of non linear mixed effects models. The objective of this software is to perform: parameter estimation, model selection, goodness of fit plots and, data simulation.
Context in which the software is used
- Research in statistic: University of Paris 5, 11 and 13
- Research in pharmacology: INSERM - P7
- Research in microbiology : INRA
Publications related to software
SAEM algorithm
- Delyon B., Lavielle M., and Moulines E. "Convergence of a stochastic approximation version of the EM algorithm" The Annals of Stat., vol 27, no. 1, pp 94-128, 1999.
- Kuhn E., Lavielle M. "Coupling a stochastic approximation version of EM with a MCMC procedure" ESAIM P&S, vol.8, pp 115-131, 2004.
- Kuhn E., Lavielle M. "Maximum likelihood estimation in nonlinear mixed effects models" Computational Statistics and Data Analysis, vol. 49, No. 4, pp 1020-1038, 2005.
- Lavielle M., Meza C. "A Parameter Expansion version of the SAEM algorithm" Statistics and Computing, vol. 17, pp 121-130, 2007.
- Donnet S., Samson A. "Estimation of parameters in incomplete data models defined by dynamical systems" Jour. of Stat. Planning and Inference, vol. 137, no. 9, pp 2815-2831, 2007.
- Meza C., Jaffrezic F., Foulley J.L. "REML estimation of variance parameters in non linear mixed effects models using the SAEM algorithm" The Biometrical Journal 49, 1-13, 2007.
- Donnet S., Samson A. "Parametric inference for mixed models defined by stochastic differential equations" ESAIM P&S, 12:196-218, (2008).
Applications
- Makowski D., Lavielle M. "Using SAEM to estimate parameters of models of response to applied fertilizer" Journal of agricultural, Biological and Enviromental Statistics, vol. 11, n. 1, pp. 45-60, 2006.
- Samson A., Lavielle M., Mentré F. "Extension of the SAEM algorithm to left-censored data in non-linear mixed-effects model: application to HIV dynamics models" Computational Statistics and Data Analysis, vol. 51, pp. 1562--1574, 2006.
- Jaffrezic F., Meza C., Lavielle M., Foulley J.L. "Genetics analysis of growth curves using the SAEM algorithm" Genetics Selection Evolution, vol. 38, pp. 583--600, 2006.
- Lavielle M., Mentré F. "Estimation of population pharmacokinetic parameters of saquinavir in HIV patients and covariate analysis with the SAEM algorithm" Journal of Pharmacokinetics and Pharmacodynamics, vol. 34, pp. 229--49, 2007.
- Comets E, Verstuyft C, Lavielle M, Jaillon P, Becquemont L, Mentré F. Modelling the influence of MDR1 polymorphism on digoxin pharmacokinetic parameters. European Journal of Clinical Pharmacology, 63, pp. 437-49, 2007.
- Samson A., Lavielle M., Mentré F. "The SAEM algorithm for group comparison tests in longitudinal data analysis based on nonlinear mixed-effects model" Statistics in Medicine, vol. 26, pp 4860-4875, 2007.