R. Barakat, Sums of independent lognormally distributed random variables, Journal of the Optical Society of America, vol.66, issue.3, pp.211-216, 1976.
DOI : 10.1364/JOSA.66.000211

F. Y. Bois, A. Gelman, J. Jiang, D. Maszle, L. Zeise et al., Population toxicokinetics of tetrachloroethylene, Archives of Toxicology, vol.70, issue.6, pp.347-355, 1996.
DOI : 10.1007/s002040050284
URL : https://hal.archives-ouvertes.fr/ineris-00969532

F. Y. Bois, D. R. Maszle, K. Revzan, S. Tillier, and Z. Yuan, MC- Sim: a Monte Carlo Simulation Program, 2005.

F. Y. Bois, T. J. Smith, A. Gelman, H. Y. Chang, and A. E. Smith, Optimal design for a study of butadiene toxicokinetics in humans, Toxicological Sciences, vol.49, issue.2, pp.213-224, 1999.
DOI : 10.1093/toxsci/49.2.213
URL : https://hal.archives-ouvertes.fr/ineris-00962757

T. Covington, R. Gentry, P. , V. Landingham, C. Andersen et al., The use of Markov chain Monte Carlo uncertainty analysis to support a Public Health Goal for perchloroethylene, Regulatory Toxicology and Pharmacology, vol.47, issue.1, pp.1-18, 2007.
DOI : 10.1016/j.yrtph.2006.06.008

L. F. Fenton, The Sum of Log-Normal Probability Distributions in Scatter Transmission Systems, IEEE Transactions on Communications, vol.8, issue.1, pp.57-67, 1960.
DOI : 10.1109/TCOM.1960.1097606

E. S. Garrett and S. L. Zeger, Latent Class Model Diagnosis, Biometrics, vol.17, issue.4, pp.1055-1067, 2000.
DOI : 10.1111/j.0006-341X.2000.01055.x

A. Gelman, F. Bois, and J. Jiang, Physiological Pharmacokinetic Analysis Using Population Modeling and Informative Prior Distributions, Journal of the American Statistical Association, vol.55, issue.436, pp.1400-1412, 1996.
DOI : 10.2307/2533402

A. Gelman, R. , and D. , Inference from Iterative Simulation Using Multiple Sequences, Statistical Science, vol.7, issue.4, pp.457-511, 1992.
DOI : 10.1214/ss/1177011136

L. S. Gold, N. B. Manley, T. H. Slone, R. , and L. , Supplement to the Carcinogenic Potency Database (CPDB): Results of Animal Bioassays Published in the General Literature in 1993 to 1994 and by the National Toxicology Program, Environmental Health Perspectives, pp.107-527, 1995.

C. Hack, W. Chiu, J. Zhao, Q. Clewell, and H. , Bayesian population analysis of a harmonized physiologically based pharmacokinetic model of trichloroethylene and its metabolites, Regulatory Toxicology and Pharmacology, vol.46, issue.1, pp.63-83, 2006.
DOI : 10.1016/j.yrtph.2006.05.012

R. B. Leipnik, On lognormal random variables: I-the characteristic function, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, vol.40, issue.03, pp.327-347, 1991.
DOI : 10.2307/2006104

Y. S. Lin, T. J. Smith, and P. Y. Wang, An Automated Exposure System for Human Inhalation Study, Archives of Environmental Health: An International Journal, vol.55, issue.3, pp.215-223, 2002.
DOI : 10.3109/03602538409033557

D. Marino, H. Clewell, P. Gentry, T. Covington, C. Hack et al., Revised assessment of cancer risk to dichloromethane: Part I Bayesian PBPK and dose???response modeling in mice, Regulatory Toxicology and Pharmacology, vol.45, issue.1, pp.44-54, 2006.
DOI : 10.1016/j.yrtph.2005.12.007

. M. Prout, W. M. Provan, and T. Green, Species differences in response to trichloroethylene, Toxicology and Applied Pharmacology, vol.79, issue.3, pp.389-400, 1985.
DOI : 10.1016/0041-008X(85)90137-1

A. Racine-poon, A Bayesian Approach to Nonlinear Random Effects Models, Biometrics, vol.41, issue.4, pp.1015-1023, 1985.
DOI : 10.2307/2530972

A. Racine-poon and A. F. Smith, Population Models, Statistical Methodology in the Pharmaceutical Sciences, pp.139-162, 1990.
DOI : 10.1201/b16950-6

S. Schwartz and Y. S. Yeh, On the Distribution Function and Moments of Power Sums With Log-Normal Components, Bell System Technical Journal, vol.61, issue.7, pp.1441-1462, 1982.
DOI : 10.1002/j.1538-7305.1982.tb04353.x

L. B. Sheiner, The Population Approach to Pharmacokinetic Data Analysis: Rationale and Standard Data Analysis Methods, Drug Metabolism Reviews, vol.27, issue.1-2, pp.153-171, 1984.
DOI : 10.1214/aoms/1177706645

L. B. Sheiner and L. T. , Population Pharmacokinetics/Dynamics*, Annual Review of Pharmacology and Toxicology, vol.32, issue.1, pp.185-209, 1992.
DOI : 10.1146/annurev.pa.32.040192.001153

L. B. Sheiner, B. Rosenberg, and K. I. Melmon, Modelling of individual pharmacokinetics for computer-aided drug dosage, Computers and Biomedical Research, vol.5, issue.5, pp.441-459, 1972.
DOI : 10.1016/0010-4809(72)90051-1

J. C. Wakefield, The Bayesian Analysis of Population Pharmacokinetic Models, Journal of the American Statistical Association, vol.86, issue.433, pp.62-75, 1996.
DOI : 10.1080/01621459.1996.10476664

J. C. Wakefield, A. F. Smith, A. Racine-poon, and A. E. Gelfand, Bayesian Analysis of Linear and Non-Linear Population Models by Using the Gibbs Sampler, Applied Statistics, vol.43, issue.1, pp.201-221, 1994.
DOI : 10.2307/2986121

T. J. Woodruff and F. Y. Bois, Optimization issues in physiological toxicokinetic modeling: a case study with benzene, Toxicology Letters, vol.69, issue.2, pp.181-196, 1993.
DOI : 10.1016/0378-4274(93)90103-5

K. Yokley, H. Tran, K. Pekari, S. Rappaport, V. Riihimaki et al., Physiologically-Based Pharmacokinetic Modeling of Benzene in Humans: A Bayesian Approach, Risk Analysis, vol.6, issue.2, pp.925-943, 2006.
DOI : 10.1016/0041-008X(90)90314-K

L. Yuh, S. Beal, M. Davidian, F. Harrison, A. Hester et al., Population Pharmacokinetic/Pharmacodynamic Methodology and Applications: A Bibliography, Biometrics, vol.50, issue.2, pp.566-575, 1994.
DOI : 10.2307/2533402