S. L. Beal and L. B. Sheiner, Estimating population kinetics, CRC Critical Reviews in Biomedical Engineering, vol.8, pp.195-222, 1982.

J. M. Bernardo and A. F. Smith, Bayesian Theory, 1994.
DOI : 10.1002/9780470316870

P. Bernillon and F. Y. Bois, Statistical Issues in Toxicokinetic Modeling: A Bayesian Perspective, Environmental Health Perspectives, vol.108, issue.s5, pp.883-893, 2000.
DOI : 10.1289/ehp.00108s5883

URL : https://hal.archives-ouvertes.fr/ineris-00961852

F. Y. Bois, Modélisation toxicocinétique de la concentration sanguine de, 2003.

F. Y. Bois, A. Gelman, J. Jiang, D. R. 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 and D. Maszle, MCSim: a simulation program, Journal of Statistical Software, vol.2, issue.9, 1997.

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

R. P. Brown, M. D. Delp, S. L. Lindstedt, L. R. Rhomberg, and R. P. Beliles, Physiological Parameter Values for Physiologically Based Pharmacokinetic Models, Toxicology and Industrial Health, vol.191, issue.1, pp.407-484, 1997.
DOI : 10.1177/074823379701300401

C. Chen, Validation of a population pharmacokinetic model for adjunctive lamotrigine therapy in children, British Journal of Clinical Pharmacology, vol.37, issue.2, pp.135-145, 2000.
DOI : 10.1046/j.1365-2125.2000.00237.x

L. Claret and A. Iliadis, Nonparametric density estimation applied to population pharmacokinetics, Mathematical Biosciences, vol.133, issue.1, pp.51-68, 1996.
DOI : 10.1016/0025-5564(95)00079-8

M. K. Cowles, C. , and B. P. , Markov Chain Monte Carlo Convergence Diagnostics: A Comparative Review, Journal of the American Statistical Association, vol.90, issue.434, pp.883-904, 1996.
DOI : 10.1080/01621459.1996.10476956

J. Hays and S. M. , A toxicokinetic study of inhaled ethylene glycol ethyl ether acetate and validation of a physiologically based pharmacokinetic model for rat and human, Toxicol Appl Pharmacol, vol.165, pp.63-73, 2000.

J. Hays and S. M. , A toxicokinetic study of inhaled ethylene glycol monomethyl ether (2-ME) and validation of a physiologically based pharmacokinetic model for the pregnant rat and human, Toxicol Appl Pharmacol, vol.165, pp.53-62, 2000.

A. Gelman, F. Y. 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, J. B. Carlin, H. S. Stern, R. , and D. B. , Bayesian Data Analysis, 1995.

P. Bernillon and F. Y. Bois, Statistical Issues in Toxicokinetic Modeling: A Bayesian Perspective, Environmental Health Perspectives, vol.108, issue.s5, pp.883-893, 2000.
DOI : 10.1289/ehp.00108s5883

URL : https://hal.archives-ouvertes.fr/ineris-00961852

K. B. Bischoff and R. G. Brown, drug distribution in mammals, Chemical Engineering Progress, vol.66, pp.33-45, 1966.

F. Y. Bois and D. Maszle, MCSim: a simulation program, Journal of Statistical Software, vol.2, issue.9, 1997.
DOI : 10.18637/jss.v002.i09

URL : http://doi.org/10.18637/jss.v002.i09

G. Brix, W. Semmler, R. Port, L. R. Schad, G. Layer et al., Pharmacokinetic Parameters in CNS Gd-DTPA Enhanced MR Imaging, Journal of Computer Assisted Tomography, vol.15, issue.4, pp.621-629, 1991.
DOI : 10.1097/00004728-199107000-00018

R. P. Brown, M. D. Delp, S. L. Lindstedt, L. R. Rhomberg, and R. P. Beliles, Physiological Parameter Values for Physiologically Based Pharmacokinetic Models, Toxicology and Industrial Health, vol.191, issue.1, pp.407-484, 1997.
DOI : 10.1177/074823379701300401

B. Davis, M. , and T. , Physiological parameters in laboratory animals and human, 1993.

J. L. Robert, P. H. Frija, G. , C. , and C. A. , Reduced capillary perfusion and permeability in human tumour xenografts treated with the VEGF signalling inhibitor ZD4190: an in vivo assessment using dynamic MR imaging and macromolecular contrast media, Magnetic Resonance Imaging, vol.21, pp.845-51, 2003.

M. A. Singer, Of mice and men and elephants: Metabolic rate sets glomerular filtration rate, American Journal of Kidney Diseases, vol.37, issue.1, 2001.
DOI : 10.1016/S0272-6386(01)80073-1

N. Mayr, MR imaging of tumor microcirculation: promise for the new millennium, Journal of Magnetic Resonance Imaging, vol.10, pp.903-907, 1999.

P. S. Tofts, Modeling tracer kinetics in dynamic Gd-DTPA MR imaging, Journal of Magnetic Resonance Imaging, vol.11, issue.1, pp.91-101, 1997.
DOI : 10.1002/jmri.1880070113

P. S. Tofts, B. Berkowitz, and M. D. Schnall, Quantitative Analysis of Dynamic Gd-DTPA Enhancement in Breast Tumors Using a Permeability Model, Magnetic Resonance in Medicine, vol.26, issue.4, pp.564-572, 1995.
DOI : 10.1002/mrm.1910330416

P. S. Tofts and A. G. Kermode, Measurement of the blood-brain barrier permeability and leakage space using dynamic MR imaging. 1. Fundamental concepts, Magnetic Resonance in Medicine, vol.113, issue.2, pp.357-67, 1991.
DOI : 10.1002/mrm.1910170208

K. Watanabe and F. Y. Bois, Interspecies Extrapolation of Physiological Pharmacokinetic Parameter Distributions, Risk Analysis, vol.75, issue.6, pp.741-754, 1996.
DOI : 10.1016/0378-4274(93)90103-5

S. R. Wedge, D. J. Ogilvie, M. Dukes, J. Kendrew, J. O. Curwen et al., ZD4190: An orally active inhibitor of vascular endothelial growth factor signaling with broad-spectrum antitumor efficacy, Cancer Research, vol.60, pp.970-975, 2000.

R. Andersen and M. E. , Development of physiologically based pharmacokinetic and physiologically based pharmacodymamic models for applications in toxicology and risk assessment, Toxicology Letters, vol.79, issue.1-3, pp.35-44, 1995.
DOI : 10.1016/0378-4274(95)03355-O

A. J. Bailer and D. A. Dankovic, An introduction to the use of physiologically based pharmacokinetic models in risk assessment, Statistical Methods in Medical Research, vol.91, issue.4, pp.341-358, 1997.
DOI : 10.1177/096228029700600404

P. Bernillon and F. Y. Bois, Statistical Issues in Toxicokinetic Modeling: A Bayesian Perspective, Environmental Health Perspectives, vol.108, issue.s5, pp.883-893, 2000.
DOI : 10.1289/ehp.00108s5883

URL : https://hal.archives-ouvertes.fr/ineris-00961852

F. Y. Bois, Applications of population approaches in toxicology, Toxicology Letters, vol.120, issue.1-3, pp.385-394, 2001.
DOI : 10.1016/S0378-4274(01)00270-3

URL : https://hal.archives-ouvertes.fr/ineris-00972203

F. Y. Bois and D. Maszle, MCSim: a simulation program, Journal of Statistical Software, vol.2, issue.9, 1997.

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

R. L. Carpenter, E. I. Eger, J. , B. H. Unadkat, J. D. Sheiner et al., The Extent of Metabolism of Inhaled Anesthetics in Humans, Anesthesiology, vol.65, issue.2, pp.201-206, 1986.
DOI : 10.1097/00000542-198608000-00013

P. Deurenberg, J. A. Weststrate, and J. C. Seidell, Body mass index as a measure of body fatness: age- and sex-specific prediction formulas, British Journal of Nutrition, vol.46, issue.02, pp.105-119, 1991.
DOI : 10.1079/BJN19780152

A. Gelman, F. Y. 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

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.44.2288

A. Gelman, J. B. Carlin, H. S. Stern, R. , and D. B. , Bayesian Data Analysis, 1995.

M. W. Himmelstein, M. J. Turner, B. Asgharian, and J. A. Bond, Metabolism of 1,3-butadiene: inhalation pharmacokinetics and tissue dosimetry of butadiene epoxides in rats and mice, Toxicology, vol.113, issue.1-3, pp.306-315, 1996.
DOI : 10.1016/0300-483X(96)03462-2

A. D. Kashuba, C. H. Ballow, and A. Forrest, Development and evaluation of a Bayesian pharmacokinetic estimator and optimal, sparse sampling strategies for ceftazidime, Antimicrob Agents Chemother, vol.40, pp.1860-1865, 1996.

C. Mcgeoch, Analyzing algorithms by simulation: variance reduction techniques and simulation speedups, ACM Computing Surveys, vol.24, issue.2, pp.195-212, 1992.
DOI : 10.1145/130844.130853

M. Mezzetti, J. G. Ibrahim, F. Y. Bois, L. M. Ryan, L. Ngo et al., A Bayesian compartmental model for the evaluation of 1,3-butadiene metabolism, Journal of the Royal Statistical Society: Series C (Applied Statistics), vol.50, issue.3, pp.291-305, 2003.
DOI : 10.1016/S0009-2797(01)00180-6

URL : https://hal.archives-ouvertes.fr/ineris-00962856

M. Rowland and T. N. Tozer, Clinical Pharmacokinetics: Concepts and Applications, 1989.

L. B. Sheiner and T. M. Ludden, 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

T. Smith, Y. Lin, L. Mezzetti, F. Y. Bois, K. Kelsey et al., Genetic and dietary factors affecting human metabolism of 1,3-butadiene Sampling and Analytical Methods, Chemico-Biological Interactions, vol.135136, pp.407-428, 1994.

A. Vinegar, G. W. Jepson, and J. H. Overton, PBPK modeling of short-term (0 to 5 min) human inhalation exposures to halogenated hydrocarbons, Inhal. Toxicol, vol.10, pp.411-429, 1998.

K. Watanabe and F. Y. Bois, Interspecies Extrapolation of Physiological Pharmacokinetic Parameter Distributions, Risk Analysis, vol.75, issue.6, pp.741-754, 1996.
DOI : 10.1016/0378-4274(93)90103-5

R. Bellman and R. , Introduction to Matrix Analysis, 1960.

S. Bjorkman, Reduction and lumping of physiologically based pharmacokinetic models, 2003.

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

J. E. Dennison, M. E. Andersen, I. D. Dobrev, M. M. Mumtaz, Y. et al., PBPK modeling of complex hydrocarbon mixtures: gasoline, Environmental Toxicology and Pharmacology, vol.16, issue.1-2, pp.107-119, 2004.
DOI : 10.1016/j.etap.2003.10.003

J. E. Dennison, M. E. Andersen, Y. , and R. S. , Characterization of the Pharmacokinetics of Gasoline Using PBPK Modeling with a Complex Mixtures Chemical Lumping Approach, Inhalation Toxicology, vol.15, issue.10, pp.961-986, 2003.
DOI : 10.1080/08958370390215749

A. Gelman, F. Y. 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

J. A. Jacquez and C. P. Simon, Qualitative Theory of Compartmental Systems, SIAM Review, vol.35, issue.1, pp.43-79, 1993.
DOI : 10.1137/1035003

M. C. Kohn and R. L. Melnick, Species differences in the production and clearance of, 1993.

G. Li, R. , and H. , A general analysis of exact lumping in chemical kinetics, Chemical Engineering Science, vol.44, issue.6, pp.1413-1430, 1989.
DOI : 10.1016/0009-2509(89)85014-6

G. Li, R. , and H. , A general analysis of approximate lumping in chemical kinetics, Chemical Engineering Science, vol.45, issue.4, 1990.
DOI : 10.1016/0009-2509(90)85020-E

G. Li, R. , and H. , Determination of constrained lumping schemes for nonisothermal first-order reaction systems, Chemical Engineering Science, vol.46, issue.2, pp.583-596, 1991.
DOI : 10.1016/0009-2509(91)80018-T

G. Li, R. , and H. , A general lumping analysis of a reaction system coupled with diffusion, Chemical Engineering Science, vol.46, issue.8, pp.2041-2053, 1991.
DOI : 10.1016/0009-2509(91)80163-S

G. Li, R. , and H. , New approaches to determination of constrained lumping schemes for a reaction system in the whole composition space, Chemical Engineering Science, vol.46, issue.1, pp.95-111, 1991.
DOI : 10.1016/0009-2509(91)80120-N

G. Li, R. , and H. , The direct lumping approach: an application to a catalytic reforming model, Chemical Engineering Science, vol.48, issue.10, pp.1903-1909, 1993.
DOI : 10.1016/0009-2509(93)80360-3

G. Li, R. , and H. , Reduced kinetic equations of a CO/H2/air oxidation model by a special perturbation method, Chemical Engineering Science, vol.52, issue.23, pp.4317-4327, 1997.
DOI : 10.1016/S0009-2509(97)00176-0

G. Li, H. Rabitz, and J. Toth, A general analysis of exact nonlinear lumping in chemical kinetics, Chemical Engineering Science, vol.49, issue.3, pp.343-361, 1994.
DOI : 10.1016/0009-2509(94)87006-3

G. Y. Li, A. S. Tomlin, H. Rabitz, and J. Toth, A general analysis of approximate nonlinear lumping in chemical kinetics. I. Unconstrained lumping, The Journal of Chemical Physics, vol.101, issue.2, pp.1172-1187, 1994.
DOI : 10.1063/1.467811

I. A. Nestorov, L. J. Aarons, P. A. Arundel, R. , and M. , Lumping of whole-body physiologically based pharmacokinetic models, Journal of Pharmacokinetics and Pharmacodynamics, vol.26, issue.1, pp.21-46, 1998.
DOI : 10.1023/A:1023272707390

T. Smith, Y. Lin, L. Mezzetti, F. Y. Bois, K. Kelsey et al., Genetic and dietary factors affecting human metabolism of 1,3-butadiene, Chemico-Biological Interactions, vol.135, issue.136, pp.135-136, 2001.
DOI : 10.1016/S0009-2797(01)00180-6

URL : https://hal.archives-ouvertes.fr/ineris-00962801

A. S. Tomlin, T. Turanyi, and M. J. Pilling, Chapter 4 Mathematical tools for the construction, investigation and reduction of combustion mechanisms, pp.293-437, 1997.
DOI : 10.1016/S0069-8040(97)80019-2

H. J. Verhaar, J. R. Morroni, K. F. Reardon, S. M. Hays, D. P. Gaver et al., A proposed approach to study the toxicology of complex mixtures of petroleum products: the integrated use of QSAR, lumping analysis and PBPK/PD modeling, Environmental Health Perspectives, vol.105, issue.Suppl 1, pp.179-95, 1997.
DOI : 10.1289/ehp.97105s1179

S. W. Wang, P. G. Georgopoulos, G. Li, R. , and H. , Condensing Complex Atmospheric Chemistry Mechanisms. 1. The Direct Constrained Approximate Lumping (DCAL) Method Applied to Alkane Photochemistry, Environmental Science & Technology, vol.32, issue.13, pp.2018-2024, 1998.
DOI : 10.1021/es970967b

J. Wei and J. C. Kuo, Lumping Analysis in Monomolecular Reaction Systems. Analysis of the Exactly Lumpable System, Industrial & Engineering Chemistry Fundamentals, vol.8, issue.1, pp.114-123, 1969.
DOI : 10.1021/i160029a019

R. Aarons and L. , Population pharmacokinetics, International Journal of Clinical Pharmacology, Therapy, and Toxicology, vol.30, pp.520-522, 1992.

C. J. Aine, A conceptual overview and critique of functional neuroimaging techniques in humans: I. MRI/FMRI and PET, Critical Reviews in Neurobiology, vol.9, pp.229-309, 1995.

B. Amzal, F. Y. Bois, E. Parent, R. , and C. P. , Bayesian Optimal Design via Interacting MCMC, 2004.

M. E. Andersen, Physiological modelling of organic compounds, The Annals of Occupational Hygiene, vol.35, pp.309-321, 1991.

M. E. Andersen, Development of physiologically based pharmacokinetic and physiologically based pharmacodymamic models for applications in toxicology and risk assessment, Toxicology Letters, vol.79, issue.1-3, pp.35-44, 1995.
DOI : 10.1016/0378-4274(95)03355-O

M. E. Andersen, Physiologically based pharmacokinetic (PB-PK) models in the study of the disposition and biological effects of xenobiotics and drugs, Toxicology Letters, vol.82, issue.83, pp.82-83, 1995.
DOI : 10.1016/0378-4274(95)03487-0

M. E. Andersen, Toxicokinetic modeling and its applications in chemical risk assessment, Toxicology Letters, vol.138, issue.1-2, 2003.
DOI : 10.1016/S0378-4274(02)00375-2

M. E. Andersen and J. E. Dennison, Mechanistic approaches for mixture risk assessments???present capabilities with simple mixtures and future directions, Environmental Toxicology and Pharmacology, vol.16, issue.1-2, pp.1-11, 2004.
DOI : 10.1016/j.etap.2003.10.004

Y. Ando, H. Fukatsu, T. Ishiguchi, T. Ishigaki, T. Endo et al., Diagnostic utility of tumor vascularity on magnetic resonance imaging of the breast, Magnetic Resonance Imaging, vol.18, issue.7, pp.807-813, 2000.
DOI : 10.1016/S0730-725X(00)00174-0

B. A. Ardekani and I. Kanno, Statistical methods for detecting activated regions in functional MRI of the brain, Magnetic Resonance Imaging, vol.16, issue.10, pp.1217-1225, 1998.
DOI : 10.1016/S0730-725X(98)00125-8

A. D. Arms, T. , and C. C. , Reference Physiological Parameters in Pharmacokinetics modeling, 1988.

A. J. Bailer and D. A. Dankovic, An introduction to the use of physiologically based pharmacokinetic models in risk assessment, Statistical Methods in Medical Research, vol.91, issue.4, pp.341-358, 1997.
DOI : 10.1177/096228029700600404

L. P. Balant and M. Gex-fabry, Review Physiological pharmacokinetic modelling, Xenobiotica, vol.18, issue.11, pp.1241-1257, 1990.
DOI : 10.3109/03602538409033558

L. P. Balant and M. Gex-fabry, Modelling during drug development, European Journal of Pharmaceutics and Biopharmaceutics, vol.50, issue.1, pp.13-26, 2000.
DOI : 10.1016/S0939-6411(00)00083-7

J. B. Bassingthwaighte, Back to Fundamentals: Anatomy-based Physiological Bioengineering, Annals of Biomedical Engineering, vol.28, issue.7, 2000.
DOI : 10.1114/1.1310222

J. B. Bassingthwaighte, Strategies for the Physiome Project, Annals of Biomedical Engineering, vol.28, issue.8, pp.1043-1058, 2000.
DOI : 10.1114/1.1313771

D. S. Bayard, J. , and R. W. , A Bayesian Approach to Tracking Patients Having Changing Pharmacokinetic Parameters, Journal of Pharmacokinetics and Pharmacodynamics, vol.31, issue.1, pp.75-107, 2004.
DOI : 10.1023/B:JOPA.0000029490.76908.0c

S. L. Beal and L. B. Sheiner, Estimating population kinetics, CRC Critical Reviews in Biomedical Engineering, vol.8, pp.195-222, 1982.

B. D. Beck and H. J. Clewell, Uncertainty/Safety Factors in Health Risk Assessment: Opportunities for Improvement, Human and Ecological Risk Assessment: An International Journal, vol.7, issue.1, pp.203-207, 2001.
DOI : 10.1080/20018091094303

N. Beckmann, T. Mueggler, P. R. Allegrini, D. Laurent, and M. And-rudin, From anatomy to the target: Contributions of magnetic resonance imaging to preclinical pharmaceutical research, The Anatomical Record, vol.265, issue.2, pp.85-100, 2001.
DOI : 10.1002/ar.1059

R. Bellman, Introduction to Matrix Analysis, 1960.

J. M. Bernardo and A. F. Smith, Bayesian Theory, 1994.
DOI : 10.1002/9780470316870

P. Bernillon, Développement de modèles toxicocinétiques et analyse statistique de données d'exposition au tétrachloroéthylène, Thèse de l'université Pierre et Marie Curie, 2000.

P. Bernillon and F. Y. Bois, Statistical Issues in Toxicokinetic Modeling: A Bayesian Perspective, Environmental Health Perspectives, vol.108, issue.s5, pp.883-893, 2000.
DOI : 10.1289/ehp.00108s5883

URL : https://hal.archives-ouvertes.fr/ineris-00961852

G. S. Berns, Functional neuroimaging, Life Sciences, vol.65, issue.24, pp.2531-2540, 1999.
DOI : 10.1016/S0024-3205(99)00297-0

M. Bertrand, P. Jackson, W. , and B. , Rapid assessment of drug metabolism in the drug discovery process, European Journal of Pharmaceutical Sciences, vol.11, pp.61-72, 2000.
DOI : 10.1016/S0928-0987(00)00165-2

K. B. Bischoff and R. G. Brown, drug distribution in mammals, Chemical Engineering Progress, vol.66, pp.33-45, 1966.

K. B. Bischoff, R. L. Dedrick, D. S. Zaharko, and J. A. Longstreth, Methotrexate Pharmacokinetics, Journal of Pharmaceutical Sciences, vol.60, issue.8, pp.1128-1133, 1971.
DOI : 10.1002/jps.2600600803

S. Bjorkman, Reduction and lumping of physiologically based pharmacokinetic models, 2003.

F. Y. Bois, Analysis of PBPK Models for Risk Characterization, Annals of the New York Academy of Sciences, vol.43, issue.9, pp.317-337, 1999.
DOI : 10.1016/0041-008X(90)90037-U

URL : https://hal.archives-ouvertes.fr/ineris-00962759

F. Y. Bois, Statistical Analysis of Fisher et al. PBPK Model of Trichloroethylene Kinetics, Environmental Health Perspectives, vol.108, issue.s2, pp.275-282, 2000.
DOI : 10.1289/ehp.00108s2275

URL : https://hal.archives-ouvertes.fr/ineris-00961853

F. Y. Bois, Applications of population approaches in toxicology, Toxicology Letters, vol.120, issue.1-3, p.385, 2001.
DOI : 10.1016/S0378-4274(01)00270-3

URL : https://hal.archives-ouvertes.fr/ineris-00972203

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, A. Gelman, J. Jiang, D. R. 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 and D. Maszle, MCSim: a simulation program, Journal of Statistical Software, vol.2, issue.9, 1997.

F. Y. Bois and D. Maszle, MCSim: a simulation program, Journal of Statistical Software, vol.2, issue.9, 1997.

F. Y. Bois and D. R. Maszle, : A Monte Carlo Simulation Program, Journal of Statistical Software, vol.2, issue.9, 1997.
DOI : 10.18637/jss.v002.i09

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

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

P. Bortot, K. Thomaseth, and A. Salvan, Population toxicokinetic analysis of 2,3,7,8-tetrachlorodibenzo-p-dioxin using Bayesian techniques, Statistics in Medicine, vol.43, issue.4, pp.533-547, 2002.
DOI : 10.1002/sim.999

G. Brix, W. Semmler, R. Port, L. R. Schad, G. Layer et al., Pharmacokinetic Parameters in CNS Gd-DTPA Enhanced MR Imaging, Journal of Computer Assisted Tomography, vol.15, issue.4, pp.621-629, 1991.
DOI : 10.1097/00004728-199107000-00018

C. Brochot, S. Marchand, W. Couet, A. Gelman, and F. Y. Bois, Extension of the Isobolographic Approach to Interactions Studies Between More than Two Drugs: Illustration with the Convulsant Interaction between Pefloxacin, Norfloxacin, and Theophylline in Rats, Journal of Pharmaceutical Sciences, vol.93, issue.3, pp.553-562, 2004.
DOI : 10.1002/jps.10574

URL : https://hal.archives-ouvertes.fr/ineris-00962878

R. P. Brown, M. D. Delp, S. L. Lindstedt, L. R. Rhomberg, and R. P. Beliles, Physiological parameter values for physiologically based pharmacokinetic models The Acute Exposure Guideline Level (AEGL) program: Applications of physiologically based pharmacokinetic modeling, Toxicology and Industrial Health Journal of Toxicology and Environmental Health-Part a-Current Issues, vol.13, issue.67, pp.621-634, 1997.

R. L. Carpenter, E. I. Eger, J. , B. H. Unadkat, J. D. Sheiner et al., The Extent of Metabolism of Inhaled Anesthetics in Humans, Anesthesiology, vol.65, issue.2, pp.201-206, 1986.
DOI : 10.1097/00000542-198608000-00013

C. Chen, Validation of a population pharmacokinetic model for adjunctive lamotrigine therapy in children, British Journal of Clinical Pharmacology, vol.37, issue.2, pp.135-145, 2000.
DOI : 10.1046/j.1365-2125.2000.00237.x

L. Claret and A. Iliadis, Nonparametric density estimation applied to population pharmacokinetics, Mathematical Biosciences, vol.133, issue.1, pp.51-68, 1996.
DOI : 10.1016/0025-5564(95)00079-8

H. J. Clewell, The application of physiologically based pharmacokinetic modeling in human health risk assessment of hazardous substances, Toxicology Letters, vol.79, issue.1-3, pp.207-217, 1995.
DOI : 10.1016/0378-4274(95)03372-R

M. K. Cowles, C. , and B. P. , Markov Chain Monte Carlo Convergence Diagnostics: A Comparative Review, Journal of the American Statistical Association, vol.90, issue.434, pp.883-904, 1996.
DOI : 10.1080/01621459.1996.10476956

B. Davis, M. , and T. , Physiological parameters in laboratory animals and human, 1993.

J. E. Dennison, M. E. Andersen, I. D. Dobrev, M. M. Mumtaz, Y. et al., PBPK modeling of complex hydrocarbon mixtures: gasoline, Environmental Toxicology and Pharmacology, vol.16, issue.1-2, pp.107-119, 2004.
DOI : 10.1016/j.etap.2003.10.003

J. E. Dennison, M. E. Andersen, Y. , and R. S. , Characterization of the Pharmacokinetics of Gasoline Using PBPK Modeling with a Complex Mixtures Chemical Lumping Approach, Inhalation Toxicology, vol.15, issue.10, pp.961-986, 2003.
DOI : 10.1080/08958370390215749

P. Deurenberg, J. A. Weststrate, and J. C. Seidell, Body mass index as a measure of body fatness: age- and sex-specific prediction formulas, British Journal of Nutrition, vol.46, issue.02, pp.105-119, 1991.
DOI : 10.1079/BJN19780152

M. L. Dourson, M. E. Andersen, L. S. Erdreich, and J. A. Macgregor, Using Human Data to Protect the Public's Health, Regulatory Toxicology and Pharmacology, vol.33, issue.2, pp.234-256, 2001.
DOI : 10.1006/rtph.2001.1469

J. L. Evelhoch, Key factors in the acquisition of contrast kinetic data for oncology, Journal of Magnetic Resonance Imaging, vol.10, issue.3, pp.254-263, 1999.
DOI : 10.1002/(SICI)1522-2586(199909)10:3<254::AID-JMRI5>3.0.CO;2-9

J. L. Evelhoch, J. B. Mcdouall, J. Mattiello, and N. E. Simpson, Measurement of relative regional tumor blood flow in mice by deuterium NMR imaging, Magnetic Resonance in Medicine, vol.60, issue.1, pp.42-52, 1992.
DOI : 10.1002/mrm.1910240105

B. S. Everitt and E. T. Bullmore, Mixture model mapping of brain activation in functional magnetic resonance images, Human Brain Mapping, vol.6, issue.1, pp.1-14, 1999.
DOI : 10.1002/(SICI)1097-0193(1999)7:1<1::AID-HBM1>3.0.CO;2-H

J. G. Fernandez, P. O. Droz, B. E. Humbert, and C. , Trichloroethylene exposure, J. R, 1977.

J. Hays and S. M. , A toxicokinetic study of inhaled ethylene glycol ethyl ether acetate and validation of a physiologically based pharmacokinetic model for rat and human, Toxicol Appl Pharmacol, vol.165, pp.63-73, 2000.

J. Hays and S. M. , A toxicokinetic study of inhaled ethylene glycol ethyl ether acetate and validation of a physiologically based pharmacokinetic model for rat and human, Toxicology and Applied Pharmacology, vol.165, pp.63-73, 2000.

J. Hays and S. M. , A toxicokinetic study of inhaled ethylene glycol monomethyl ether (2-ME) and validation of a physiologically based pharmacokinetic model for the pregnant rat and human, Toxicol Appl Pharmacol, vol.165, pp.53-62, 2000.

J. Hays and S. M. , A toxicokinetic study of inhaled ethylene glycol monomethyl ether (2-ME) and validation of a physiologically based pharmacokinetic model for the pregnant rat and human, Toxicology and Applied Pharmacology, vol.165, pp.53-62, 2000.

A. Gelman, F. Y. 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, F. Y. 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, J. B. Carlin, H. S. Stern, R. , and D. B. , Bayesian Data Analysis, 1995.

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

A. Gelman, R. , and D. B. , Markov chain Monte Carlo methods in biostatistics, Statistical Methods in Medical Research, vol.80, issue.4, pp.339-355, 1996.
DOI : 10.1177/096228029600500402

S. Geman and D. Geman, Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images, Ieee Transactions on Pattern Analysis and Machine Intelligence, vol.6, pp.721-741, 1984.

C. R. Genovese, A Bayesian Time-Course Model for Functional Magnetic Resonance Imaging Data, Journal of the American Statistical Association, vol.55, issue.451, pp.691-703, 2000.
DOI : 10.1006/nimg.1995.1023

L. E. Gerlowski and R. K. Jain, Physiologically Based Pharmacokinetic Modeling: Principles and Applications, Journal of Pharmaceutical Sciences, vol.72, issue.10, pp.1103-1127, 1983.
DOI : 10.1002/jps.2600721003

T. Ghafourian, M. Barzegar-jalali, N. Hakimiha, and M. T. Cronin, Quantitative structure-pharmacokinetic relationship modelling: apparent volume of distribution, Journal of Pharmacy and Pharmacology, vol.19, issue.3, pp.339-350, 2004.
DOI : 10.1211/0022357022890

W. R. Gilks, S. Richardson, and D. J. Spiegelhalter, Markov Chain Monte Carlo in Practice, 1996.

H. Van-der-sanden and B. , Applications of magnetic resonance in model systems: tumor biology and physiology, Neoplasia, vol.2, pp.139-151, 2000.

C. Gossl, L. Fahrmeir, and D. P. Auer, Bayesian Modeling of the Hemodynamic Response Function in BOLD fMRI, NeuroImage, vol.14, issue.1, pp.140-148, 2001.
DOI : 10.1006/nimg.2001.0795

D. A. Graves, C. , and I. , Application of NONMEM to routine bioavailability data, Journal of Pharmacokinetics and Biopharmaceutics, vol.15, issue.2, pp.145-160, 1988.
DOI : 10.1007/BF01063557

S. Haddad, G. Charest-tardif, R. Tardif, and K. Krishnan, Validation of a Physiological Modeling Framework for Simulating the Toxicokinetics of Chemicals in Mixtures, Toxicology and Applied Pharmacology, vol.167, issue.3, pp.199-209, 2000.
DOI : 10.1006/taap.2000.8991

C. Hansch, A. Leo, S. B. Mekapati, and A. Kurup, QSAR and ADME, Bioorganic & Medicinal Chemistry, vol.12, issue.12, pp.3391-3400, 2004.
DOI : 10.1016/j.bmc.2003.11.037

W. K. Hastings, Monte Carlo sampling methods using Markov chains and their applications, Biometrika, vol.57, issue.1, pp.97-109, 1970.
DOI : 10.1093/biomet/57.1.97

P. Hayton, M. Brady, L. Tarassenko, M. , and N. , Analysis of dynamic MR breast images using a model of contrast enhancement, Medical Image Analysis, vol.1, issue.3, pp.207-231, 1997.
DOI : 10.1016/S1361-8415(97)85011-6

M. W. Himmelstein, M. J. Turner, B. Asgharian, and J. A. Bond, Metabolism of 1,3-butadiene: inhalation pharmacokinetics and tissue dosimetry of butadiene epoxides in rats and mice, Toxicology, vol.113, issue.1-3, pp.306-315, 1996.
DOI : 10.1016/0300-483X(96)03462-2

R. M. Ings, Interspecies scaling and comparisons in drug development and toxicokinetics, Xenobiotica, vol.75, issue.11, 1990.
DOI : 10.3109/03602538409033558

J. A. Jacquez, Modeling with Compartments, BioMedware, 1999.

J. A. Jacquez and C. P. Simon, Qualitative Theory of Compartmental Systems, SIAM Review, vol.35, issue.1, pp.43-79, 1993.
DOI : 10.1137/1035003

F. Jonsson, Physiologically Based Pharmacokinetic modeling in risk assessment, Division of Pharmacokinetics and Drug Therapy, 2001.

F. Jonsson and G. Johanson, Bayesian estimation of variability in adipose tissue blood flow in man by physiologically based pharmacokinetic modeling of inhalation exposure to toluene, Toxicology, vol.157, issue.3, pp.177-193, 2001.
DOI : 10.1016/S0300-483X(00)00356-5

F. Jonsson and G. Johanson, Physiologically Based Modeling of the Inhalation Kinetics of Styrene in Humans Using a Bayesian Population Approach, Toxicology and Applied Pharmacology, vol.179, issue.1, pp.35-49, 2002.
DOI : 10.1006/taap.2001.9331

F. Jonsson and G. Johanson, The Bayesian population approach to physiological toxicokinetic???toxicodynamic models???an example using the MCSim software, Toxicology Letters, vol.138, issue.1-2, pp.143-150, 2003.
DOI : 10.1016/S0378-4274(02)00369-7

N. Kaniwa, N. Aoyagi, H. Ogata, and M. Ishii, Application of the NONMEM Method to Evaluation of the Bioavailability of Drug Products, Journal of Pharmaceutical Sciences, vol.79, issue.12, pp.1116-1120, 1990.
DOI : 10.1002/jps.2600791215

A. D. Kashuba, C. H. Ballow, and A. Forrest, Development and evaluation of a Bayesian pharmacokinetic estimator and optimal, sparse sampling strategies for ceftazidime, Antimicrobial Agents and Chemotherapy, vol.40, pp.1860-1865, 1996.

P. Kohl, D. Noble, R. L. Winslow, and P. J. Hunter, Computational modelling of biological systems: tools and visions, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.358, issue.1766, pp.579-610, 2000.
DOI : 10.1098/rsta.2000.0547

M. C. Kohn, Achieving credibility in risk assessment models, Toxicology Letters, vol.79, issue.1-3, pp.107-121, 1995.
DOI : 10.1016/0378-4274(95)03362-O

M. C. Kohn, The Importance of Anatomical Realism for Validation of Physiological Models of Disposition of Inhaled Toxicants, Toxicology and Applied Pharmacology, vol.147, issue.2, pp.448-458, 1997.
DOI : 10.1006/taap.1997.8289

M. C. Kohn and R. L. Melnick, Species differences in the production and clearance of, 1993.

M. C. Kohn and R. L. Melnick, Physiological modeling of butadiene disposition in mice and rats, Chemico-Biological Interactions, vol.135, issue.136, pp.135-136, 2001.
DOI : 10.1016/S0009-2797(01)00176-4

J. C. Kuo, W. , and J. , Lumping Analysis in Monomolecular Reaction Systems. Analysis of Approximately Lumpable System, Industrial & Engineering Chemistry Fundamentals, vol.8, issue.1, pp.124-133, 1969.
DOI : 10.1021/i160029a020

P. Lafrance, V. Lemaire, F. Varin, F. Donati, J. Belair et al., Spatial Effects in Modeling Pharmacokinetics of Rapid Action Drugs, Bulletin of Mathematical Biology, vol.64, issue.3, pp.483-500, 2002.
DOI : 10.1006/bulm.2001.0281

N. A. Lazar, W. F. Eddy, C. R. Genovese, and J. Welling, Statistical Issues in fMRI for Brain Imaging, International Statistical Review, vol.12, issue.4, pp.105-127, 2001.
DOI : 10.1006/nimg.1997.0294

L. Bihan and D. , Bases Physiques Pour l'Interprétation des Images par Résonance Magnétique Nucléaire, Thèse de la faculté de médecine Pitié-Salpêtrière, 1984.

G. Li, R. , and H. , A general analysis of exact lumping in chemical kinetics, Chemical Engineering Science, vol.44, issue.6, pp.1413-1430, 1989.
DOI : 10.1016/0009-2509(89)85014-6

G. Li, R. , and H. , A general analysis of approximate lumping in chemical kinetics, Chemical Engineering Science, vol.45, issue.4, 1990.
DOI : 10.1016/0009-2509(90)85020-E

G. Li, R. , and H. , Determination of constrained lumping schemes for nonisothermal first-order reaction systems, Chemical Engineering Science, vol.46, issue.2, pp.583-596, 1991.
DOI : 10.1016/0009-2509(91)80018-T

G. Li, R. , and H. , A general lumping analysis of a reaction system coupled with diffusion, Chemical Engineering Science, vol.46, issue.8, pp.2041-2053, 1991.
DOI : 10.1016/0009-2509(91)80163-S

G. Li, R. , and H. , New approaches to determination of constrained lumping schemes for a reaction system in the whole composition space, Chemical Engineering Science, vol.46, issue.1, pp.95-111, 1991.
DOI : 10.1016/0009-2509(91)80120-N

G. Li, R. , and H. , The direct lumping approach: an application to a catalytic reforming model, Chemical Engineering Science, vol.48, issue.10, pp.1903-1909, 1993.
DOI : 10.1016/0009-2509(93)80360-3

G. Li, R. , and H. , Reduced kinetic equations of a CO/H2/air oxidation model by a special perturbation method, Chemical Engineering Science, vol.52, issue.23, pp.4317-4327, 1997.
DOI : 10.1016/S0009-2509(97)00176-0

G. Li, H. Rabitz, and J. Toth, A general analysis of exact nonlinear lumping in chemical kinetics, Chemical Engineering Science, vol.49, issue.3, pp.343-361, 1994.
DOI : 10.1016/0009-2509(94)87006-3

G. Y. Li, A. S. Tomlin, H. Rabitz, and J. Toth, A general analysis of approximate nonlinear lumping in chemical kinetics. I. Unconstrained lumping, The Journal of Chemical Physics, vol.101, issue.2, pp.1172-1187, 1994.
DOI : 10.1063/1.467811

T. M. Ludden, W. R. Gillespie, and W. J. Bachman, Commentary on ???physiologically based pharmacokinetic modeling as a tool for drug development???, Journal of Pharmacokinetics and Biopharmaceutics, vol.22, issue.2, pp.231-235, 1995.
DOI : 10.1007/BF02354274

L. Ludemann, B. Hamm, and C. Zimmer, Pharmacokinetic analysis of glioma compartments with dynamic Gd-DTPA-enhanced magnetic resonance imaging, Magnetic Resonance Imaging, vol.18, issue.10, pp.1201-1215, 2000.
DOI : 10.1016/S0730-725X(00)00223-X

R. H. Luecke, W. D. Wosilait, B. A. Pearce, Y. , and J. F. , A physiologically based pharmacokinetic computer model for human pregnancy, Teratology, vol.56, issue.2, pp.90-103, 1994.
DOI : 10.1002/tera.1420490205

D. J. Lunn and L. Aarons, The pharmacokinetics of saquinavir: A Markov chain Monte Carlo population analysis, Journal of Pharmacokinetics and Pharmacodynamics, vol.26, issue.1, pp.47-74, 1998.
DOI : 10.1023/A:1023224824228

S. Mann, P. O. Droz, and M. Vahter, A Physiologically Based Pharmacokinetic Model for Arsenic Exposure, Toxicology and Applied Pharmacology, vol.140, issue.2, pp.471-486, 1996.
DOI : 10.1006/taap.1996.0244

M. Margni, D. Rossier, P. Crettaz, and O. Jolliet, Life cycle impact assessment of pesticides on human health and ecosystems, Agriculture, Ecosystems & Environment, vol.93, issue.1-3, pp.379-392, 2002.
DOI : 10.1016/S0167-8809(01)00336-X

L. E. Mather, Anatomical-Physiological Approaches in Pharmacokinetics and Pharmacodynamics, Clinical Pharmacokinetics, vol.19, issue.10, pp.707-722, 2001.
DOI : 10.2165/00003088-200140100-00002

C. Mcgeoch, Analyzing algorithms by simulation: variance reduction techniques and simulation speedups, ACM Computing Surveys, vol.24, issue.2, pp.195-212, 1992.
DOI : 10.1145/130844.130853

N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, Equation of State Calculations by Fast Computing Machines, The Journal of Chemical Physics, vol.21, issue.6, pp.1087-1092, 1953.
DOI : 10.1063/1.1699114

M. Mezzetti, J. G. Ibrahim, F. Y. Bois, L. M. Ryan, L. Ngo et al., A Bayesian compartmental model for the evaluation of 1,3-butadiene metabolism, Journal of the Royal Statistical Society: Series C (Applied Statistics), vol.50, issue.3, pp.291-305, 2003.
DOI : 10.1016/S0009-2797(01)00180-6

URL : https://hal.archives-ouvertes.fr/ineris-00962856

P. Mueller, Simulation Based Optimal Design National Research Council -Committee on the Use of Third Party Toxicity Research with Human Research Participants Science Technology and Law Program Intentional Human Dosing Studies for EPA Regulatory Purposes: Scientific and Ethical Issues, NRC), pp.459-474, 1999.

I. Nestorov, Modelling and simulation of variability and uncertainty in toxicokinetics and pharmacokinetics, Toxicology Letters, vol.120, issue.1-3, pp.411-420, 2001.
DOI : 10.1016/S0378-4274(01)00273-9

I. Nestorov, Whole Body Pharmacokinetic Models, Clinical Pharmacokinetics, vol.15, issue.10, pp.883-908, 2003.
DOI : 10.2165/00003088-200342100-00002

I. A. Nestorov, L. J. Aarons, P. A. Arundel, R. , and M. , Lumping of whole-body physiologically based pharmacokinetic models, Journal of Pharmacokinetics and Pharmacodynamics, vol.26, issue.1, pp.21-46, 1998.
DOI : 10.1023/A:1023272707390

R. E. Oliver, A. F. Jones, R. , and M. , A whole-body physiologically based pharmacokinetic model incorporating dispersion concepts: Short and long time characteristics, Journal of Pharmacokinetics and Pharmacodynamics, vol.28, issue.1, pp.27-55, 2001.
DOI : 10.1023/A:1011565602152

H. Olson, G. Betton, D. Robinson, K. Thomas, A. Monro et al., Concordance of the Toxicity of Pharmaceuticals in Humans and in Animals, Regulatory Toxicology and Pharmacology, vol.32, issue.1, pp.56-67, 2000.
DOI : 10.1006/rtph.2000.1399

M. Port, C. Corot, I. Raynal, J. M. Idee, A. Dencausse et al., Physicochemical and Biological Evaluation of P792, a Rapid-Clearance Blood-Pool Agent for Magnetic Resonance Imaging, Investigative Radiology, vol.36, issue.8, pp.445-454, 2001.
DOI : 10.1097/00004424-200108000-00002

L. Simonot, C. , M. , and D. , P792: a rapid clearance blood pool agent for magnetic resonance imaging: preliminary results, Magnetic Resonance Materials in Physics Biology and Medicine, vol.12, pp.121-127, 2001.

R. E. Port, M. V. Knopp, and G. Brix, Dynamic contrast-enhanced MRI using, 2001.

R. E. Port, M. V. Knopp, U. Hoffmann, S. Milker-zabel, and G. Brix, Multicompartment analysis of gadolinium chelate kinetics: Blood-tissue exchange in mammary tumors as monitored by dynamic MR imaging, Journal of Magnetic Resonance Imaging, vol.5, issue.3, pp.233-241, 1999.
DOI : 10.1002/(SICI)1522-2586(199909)10:3<233::AID-JMRI3>3.0.CO;2-M

P. Poulin, K. Schoenlein, and F. P. Theil, Prediction of adipose tissue: Plasma partition coefficients for structurally unrelated drugs, Journal of Pharmaceutical Sciences, vol.90, issue.4, pp.436-447, 2001.
DOI : 10.1002/1520-6017(200104)90:4<436::AID-JPS1002>3.0.CO;2-P

P. Poulin and F. P. Theil, A Priori Prediction of Tissue:Plasma Partition Coefficients of Drugs to Facilitate the Use of Physiologically???Based Pharmacokinetic Models in Drug Discovery, Journal of Pharmaceutical Sciences, vol.89, issue.1, pp.16-35, 2000.
DOI : 10.1002/(SICI)1520-6017(200001)89:1<16::AID-JPS3>3.0.CO;2-E

J. L. Robert, P. H. Frija, G. , C. , and C. A. , Reduced capillary perfusion and permeability in human tumour xenografts treated with the VEGF signalling inhibitor ZD4190: an in vivo assessment using dynamic MR imaging and macromolecular contrast media, Magnetic Resonance Imaging, vol.21, pp.845-51, 2003.

S. Rabe-hesketh, E. T. Bullmore, and M. J. Brammer, The analysis of functional magnetic resonance images, Statistical Methods in Medical Research, vol.4, issue.3, pp.215-252, 1997.
DOI : 10.1177/096228029700600303

C. Robert, Méthodes de Monte Carlo par Chaînes de Markov, 1996.

M. Rowland, L. Z. Benet, G. , and G. G. , Clearance concepts in pharmacokinetics, Journal of Pharmacokinetics and Biopharmaceutics, vol.58, issue.2, 1973.
DOI : 10.1007/BF01059626

M. Rowland and T. N. Tozer, Clinical Pharmacokinetics: Concepts and Applications, 1989.

M. Rudin, N. Beckmann, R. Porszasz, T. Reese, D. Bochelen et al., In vivo magnetic resonance methods in pharmaceutical research: current status and perspectives, NMR in Biomedicine, vol.89, issue.2, pp.69-97, 1999.
DOI : 10.1002/(SICI)1099-1492(199904)12:2<69::AID-NBM548>3.0.CO;2-D

A. Sato, T. Nakajima, Y. Fujiwara, and N. Murayama, A pharmacokinetic model to study the excretion of trichloroethylene and its metabolites after an inhalation exposure., Occupational and Environmental Medicine, vol.34, issue.1, pp.56-63, 1977.
DOI : 10.1136/oem.34.1.56

L. B. Sheiner and S. L. 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.553-571, 1980.
DOI : 10.1007/BF01060053

L. B. Sheiner and T. M. Ludden, 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

J. E. Simmons, Application of Physiologically Based Pharmacokinetic Modelling to Combination Toxicology, Food and Chemical Toxicology, vol.34, issue.11-12, pp.1067-1073, 1996.
DOI : 10.1016/S0278-6915(97)00076-8

M. A. Singer, Of mice and men and elephants: Metabolic rate sets glomerular filtration rate, American Journal of Kidney Diseases, vol.37, issue.1, 2001.
DOI : 10.1016/S0272-6386(01)80073-1

T. Smith, Y. Lin, L. Mezzetti, F. Y. Bois, K. Kelsey et al., Genetic and dietary factors affecting human metabolism of 1,3-butadiene, Chemico-Biological Interactions, vol.135, issue.136, pp.135-136, 2001.
DOI : 10.1016/S0009-2797(01)00180-6

URL : https://hal.archives-ouvertes.fr/ineris-00962801

D. Spiegelhalter, A. Thomas, N. Best, and W. R. Gilks, Bayesian inference Using Gibbs Sampling -Manual, 1996.

H. Suzuki, T. Iwatsubo, and Y. Sugiyama, Applications and prospects for physiologically based pharmacokinetic (PB-PK) models involving pharmaceutical agents, Toxicology Letters, vol.82, issue.83, pp.82-83, 1995.
DOI : 10.1016/0378-4274(95)03488-9

F. Whorton, M. D. Thompson, K. M. Gargas, and M. L. , Proposed occupational exposure limits for select ethylene glycol ethers using PBPK models and Monte Carlo simulations, Toxicological Sciences, vol.62, pp.124-139, 2001.

J. S. Taylor and W. E. Reddick, Evolution from empirical dynamic contrast-enhanced magnetic resonance imaging to pharmacokinetic MRI, Advanced Drug Delivery Reviews, vol.41, issue.1, pp.91-110, 2000.
DOI : 10.1016/S0169-409X(99)00058-7

N. Mayr, MR imaging of tumor microcirculation: promise for the new millennium, Journal of Magnetic Resonance Imaging, vol.10, pp.903-907, 1999.

T. Teorell, Kinetics of distribution of substances administered to the body, Archives Internationales de Pharmacodynamie et de Thérapie, pp.205-240, 1937.

F. P. Theil, T. W. Guentert, S. Haddad, and P. Poulin, Utility of physiologically based pharmacokinetic models to drug development and rational drug discovery candidate selection, Toxicology Letters, vol.138, issue.1-2, pp.29-49, 2003.
DOI : 10.1016/S0378-4274(02)00374-0

G. W. Van-der-mollen, S. A. Kooijman, and W. Slob, A Generic Toxicokinetic Model for Persistent Lipophilic Compounds in Humans: An Application to TCDD, Toxicological Sciences, vol.31, issue.1, pp.83-94, 1996.
DOI : 10.1093/toxsci/31.1.83

P. Veng-pedersen and N. B. Modi, Neural networks in pharmacodynamic modeling. Is current modeling practice of complex kinetic systems at a dead end?, Journal of Pharmacokinetics and Biopharmaceutics, vol.8, issue.4, pp.397-412, 1992.
DOI : 10.1007/BF01062465

H. J. Verhaar, J. R. Morroni, K. F. Reardon, S. M. Hays, D. P. Gaver et al., A proposed approach to study the toxicology of complex mixtures of petroleum products: the integrated use of QSAR, lumping analysis and PBPK/PD modeling, Environmental Health Perspectives, vol.105, issue.Suppl 1, pp.179-95, 1997.
DOI : 10.1289/ehp.97105s1179

A. Vinegar, G. W. Jepson, and J. H. Overton, PBPK modeling of short-term (0 to 5 min) human inhalation exposures to halogenated hydrocarbons, Inhalation Toxicology, vol.10, pp.411-429, 1998.

J. Wakefield, The Combination of Population Pharmacokinetic Studies, Biometrics, vol.41, issue.1, pp.263-270, 2000.
DOI : 10.1111/j.0006-341X.2000.00263.x

J. Wakefield and J. Bennett, The Bayesian Modeling of Covariates for Population Pharmacokinetic Models, Journal of the American Statistical Association, vol.43, issue.435, pp.917-927, 1996.
DOI : 10.2307/2986121

J. C. Wakefield and A. Racine-poon, AN APPLICATION OF BAYESIAN POPULATION PHARMACOKINETIC/PHARMACODYNAMIC MODELS TO DOSE RECOMMENDATION, Statistics in Medicine, vol.43, issue.9, pp.971-986, 1995.
DOI : 10.1002/sim.4780140917

S. W. Wang, P. G. Georgopoulos, G. Li, R. , and H. , Condensing Complex Atmospheric Chemistry Mechanisms. 1. The Direct Constrained Approximate Lumping (DCAL) Method Applied to Alkane Photochemistry, Environmental Science & Technology, vol.32, issue.13, pp.2018-2024, 1998.
DOI : 10.1021/es970967b

R. C. Ward, M. W. Yambert, R. J. Toedte, N. B. Munro, C. E. Easterly et al., Creating a human phantom for the virtual human program, Studies in Health Technology and Informatics, vol.70, pp.368-74, 2000.

K. Watanabe and F. Y. Bois, Interspecies Extrapolation of Physiological Pharmacokinetic Parameter Distributions, Risk Analysis, vol.75, issue.6, pp.741-754, 1996.
DOI : 10.1016/0378-4274(93)90103-5

S. R. Wedge, D. J. Ogilvie, M. Dukes, J. Kendrew, J. O. Curwen et al., ZD4190: An orally active inhibitor of vascular endothelial growth factor signaling with broad-spectrum antitumor efficacy, Cancer Research, vol.60, pp.970-975, 2000.

J. Wei and J. C. Kuo, Lumping Analysis in Monomolecular Reaction Systems. Analysis of the Exactly Lumpable System, Industrial & Engineering Chemistry Fundamentals, vol.8, issue.1, pp.114-123, 1969.
DOI : 10.1021/i160029a019

F. Welsch, G. M. Blumenthal, C. , and R. B. , Physiologically based pharmacokinetic models applicable to organogenesis: extrapolation between species and potential use in prenatal toxicity risk assessments, Toxicology Letters, vol.82, issue.83, pp.82-83, 1995.
DOI : 10.1016/0378-4274(95)03499-4

G. B. West, J. H. Brown, and B. J. Enquist, A General Model for the Origin of Allometric Scaling Laws in Biology, Science, vol.276, issue.5309, pp.122-126, 1997.
DOI : 10.1126/science.276.5309.122

T. Thorslund and J. T. Wassell, Improving risk assessment: Research opportunities in dose response modeling to improve risk assessment, Human and Ecological Risk Assessment, vol.8, pp.1421-1444, 2002.

. Publications, D. Collaborations-brochot, B. Balvay, N. Bessoud, C. Siauve et al., Publications, communications, et collaborations 10.1. Publications C Bayesian physiologically based pharmacokinetic modelling of tumor's microcirculation magnetic resonance imaging data : Application to the evaluation of an antiangiogenic treatment, Soumis (en révision) à Magnetic Resonance in Medicine

C. Brochot and F. Bois, Use of a Chemical Probe to Increase Safety for Human Volunteers in Toxicokinetic Studies, Risk Analysis, vol.120, issue.1-3
DOI : 10.1111/j.1539-6924.2005.00682.x

URL : https://hal.archives-ouvertes.fr/ineris-00962971

F. Brochot and . Bois, Communication écrite au congrès Exposure assessment in a changing environment, 2004.

B. Balvay, N. Bessoud, C. Siauve, F. Cuenod, and . Bois, Communication écrite au congrès In silico driven drug discovery and development (Cost B15), 2003.

F. Bois, Communication orale au séminaire de recherche "Statistiques spatiales" à l'Institut National Agronomique de Paris-Grignon, 2002.

. Bois, Budapest, Hongrie. 10.3. Collaborations Pour mener le projet concernant les données d'imagerie, une collaboration a été montée avec l'unité INSERM U494 "Imagerie Médicale Quantitative", et plus particulièrement l'équipe "Biodistribution de marqueurs, applications aux tumeurs solides, 2002.