A Population Pharmacokinetic Model with Time-Dependent Covariates Measured with Errors
dc.contributor.author | Li, Lang | en_US |
dc.contributor.author | Lin, Xihong | en_US |
dc.contributor.author | Brown, Morton B. | en_US |
dc.contributor.author | Gupta, Suneel | en_US |
dc.contributor.author | Lee, Kyung-Hoon | en_US |
dc.date.accessioned | 2010-04-01T15:29:36Z | |
dc.date.available | 2010-04-01T15:29:36Z | |
dc.date.issued | 2004-06 | en_US |
dc.identifier.citation | Li, Lang; Lin, Xihong; Brown, Morton B.; Gupta, Suneel; Lee, Kyung-Hoon (2004). "A Population Pharmacokinetic Model with Time-Dependent Covariates Measured with Errors." Biometrics 60(2): 451-460. <http://hdl.handle.net/2027.42/65975> | en_US |
dc.identifier.issn | 0006-341X | en_US |
dc.identifier.issn | 1541-0420 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/65975 | |
dc.identifier.uri | http://www.ncbi.nlm.nih.gov/sites/entrez?cmd=retrieve&db=pubmed&list_uids=15180671&dopt=citation | en_US |
dc.description.abstract | We propose a population pharmacokinetic (PK) model with time-dependent covariates measured with errors. This model is used to model S-oxybutynin's kinetics following an oral administration of Ditropan, and allows the distribution rate to depend on time-dependent covariates blood pressure and heart rate, which are measured with errors. We propose two two-step estimation methods: the second-order two-step method with numerical solutions of differential equations (2orderND), and the second-order two-step method with closed form approximate solutions of differential equations (2orderAD). The proposed methods are computationally easy and require fitting a linear mixed model at the first step and a nonlinear mixed model at the second step. We apply the proposed methods to the analysis of the Ditropan data, and evaluate their performance using a simulation study. Our results show that the 2orderND method performs well, while the 2orderAD method can yield PK parameter estimators that are subject to considerable biases. | en_US |
dc.format.extent | 338362 bytes | |
dc.format.extent | 3110 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.publisher | Blackwell Publishing | en_US |
dc.rights | The International Biometric Society, 2004 | en_US |
dc.subject.other | Differential Equations | en_US |
dc.subject.other | Laplace Approximation | en_US |
dc.subject.other | Measurement Error | en_US |
dc.subject.other | Nonlinear Mixed Models | en_US |
dc.subject.other | Pharmacokinetics | en_US |
dc.subject.other | Two-compartment Model | en_US |
dc.title | A Population Pharmacokinetic Model with Time-Dependent Covariates Measured with Errors | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Biostatistics, The University of Michigan, Ann Arbor, Michigan 48109, U.S.A. | en_US |
dc.contributor.affiliationother | Division of Biostatistics, Indiana University, Indianapolis, Indiana 46254, U.S.A. | en_US |
dc.contributor.affiliationother | ALZA Corporation, Clinical Pharmacology, Mountain View, California 94039, U.S.A. | en_US |
dc.contributor.affiliationother | Department of Pharmacology, Sungkyunkwan University, Suwon, Hyunggi do, 440-746, South Korea | en_US |
dc.identifier.pmid | 15180671 | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/65975/1/j.0006-341X.2004.00190.x.pdf | |
dc.identifier.doi | 10.1111/j.0006-341X.2004.00190.x | en_US |
dc.identifier.source | Biometrics | en_US |
dc.identifier.citedreference | AHFS Drug Information ( 2000 ). Bethesda, Maryland : American Society of Hospital Pharmacists. | en_US |
dc.identifier.citedreference | Carroll, R. J., Ruppert, D., and Stefanski, L. A. ( 1995 ). Measurement Error in Nonlinear Models. London : Chapman and Hall. | en_US |
dc.identifier.citedreference | Davidian, M. and Giltinan, D. G. ( 1995 ). Nonlinear Models for Repeated Measurement Data. London : Chapman and Hall. | en_US |
dc.identifier.citedreference | Douchamps, J., Derenne, F., Stockis, A., Gangji, D., Juvent, M., and Herchuelz, A. ( 1988 ). The pharmacokinetics of oxybutynin in man. European Journal of Clinical Pharmacology 35, 515 – 520. | en_US |
dc.identifier.citedreference | Eugene, B. ( 2001 ). Harrison's Principles of Internal Medicine. New York : McGraw-Hill, Medical Publishing Division. | en_US |
dc.identifier.citedreference | Higgins, K. M., Davidian, M., and Giltinan, D. M. ( 1997 ). A two-step approach to measurement error in time-dependent covariates in nonlinear mixed-effect models, with application to IGF-I pharmacokinetics. Journal of the American Statistical Association 92, 436 – 448. | en_US |
dc.identifier.citedreference | IMSL User's Manual STAT Library Version 1.0 ( 1987 ). Houston, Texas : IMSL, Inc. | en_US |
dc.identifier.citedreference | Li, L., Brown, M., Lee, K., and Gupta, S. ( 2002 ). Estimation and inference for a spline-enhanced population pharmacokinetic model. Biometrics 58, 601 – 611. | en_US |
dc.identifier.citedreference | Lindstrom, J. M. and Bates, M. D. ( 1990 ). Nonlinear mixed effects models for repeated measurement data. Biometrics 46, 673 – 687. | en_US |
dc.identifier.citedreference | Solomon, P. J. and Cox, D. R. ( 1992 ). Nonlinear components of variance models. Biometrika 79, 1 – 11. | en_US |
dc.identifier.citedreference | Wolfinger, R. D. ( 1993 ). Laplace's approximation for nonlinear mixed models. Biometrika 80, 791 – 795. | en_US |
dc.identifier.citedreference | Wolfinger, R. D. and Lin, X. ( 1997 ). Two Taylor-series approximations methods for nonlinear mixed models. Journal of Computational Statistics and Data Analysis 25, 465 – 490. | en_US |
dc.identifier.citedreference | Wu, L. ( 2002 ). A joint model for nonlinear mixed-effects models with censoring and covariates measured with error, with application to AIDS studies. Journal of the American Statistical Association 97, 955 – 964. | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
Files in this item
Remediation of Harmful Language
The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.
Accessibility
If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.