A Two-Step Iterative Algorithm For Estimation In Nonlinear Mixed-Effect Models With An Evaluation In Population Pharmacokinetics
作者： France Mentré , Roberto Gomeni
DOI: 10.1080/10543409508835104
关键词:
摘要: This article proposes an EM-like algorithm for estimating, by maximum likelihood, the population parameters of a nonlinear mixed-effect model given sparse individual data. The first step involves Bayesian estimation parameters. During second step, are estimated using linearization about those estimates. (implemented in P-PHARM) is evaluated on simulated data, mimicking pharmacokinetic analyses and compared to First-Order method Conditional Estimates (both implemented NONMEM). accuracy results, within few iterations, shows capabilities proposed approach
sci-hub.se 参考文章(31)
J. C. Wakefield, A. F. M. Smith, A. Racine-Poon, A. E. Gelfand, Bayesian Analysis of Linear and Non‐Linear Population Models by Using the Gibbs Sampler Applied statistics. ,vol. 43, pp. 201- 221 ,(1992) , 10.2307/2986121
Takashi AMISAKI, Tohoru TATSUHARA, An alternative two stage method via the EM-algorithm for the estimation of population pharmacokinetic parameters. Journal of pharmacobio-dynamics. ,vol. 11, pp. 335- 348 ,(1988) , 10.1248/BPB1978.11.335
XIAO-LI MENG, DONALD B. RUBIN, Maximum likelihood estimation via the ECM algorithm: A general framework Biometrika. ,vol. 80, pp. 267- 278 ,(1993) , 10.1093/BIOMET/80.2.267
Judith F. Strenio, Herbert I. Weisberg, Anthony S. Bryk, Empirical Bayes Estimation of Individual Growth-Curve Parameters and Their Relationship to Covariates Biometrics. ,vol. 39, pp. 71- 86 ,(1983) , 10.2307/2530808
A. Racine-Poon, A Bayesian approach to nonlinear random effects models. Biometrics. ,vol. 41, pp. 1015- 1023 ,(1985) , 10.2307/2530972
James E. Grizzle, David M. Allen, Analysis of growth and dose response curves Biometrics. ,vol. 25, pp. 357- ,(1969) , 10.2307/2528795
Mary J. Lindstrom, Douglas M. Bates, Nonlinear Mixed Effects Models for Repeated Measures Data Biometrics. ,vol. 46, pp. 673- 687 ,(1990) , 10.2307/2532087
Marie Davidian, David M. Giltinan, Some general estimation methods for nonlinear mixed-effects model Journal of Biopharmaceutical Statistics. ,vol. 3, pp. 23- 55 ,(1993) , 10.1080/10543409308835047
Xiao-Li Meng, Donald B. Rubin, Using EM to Obtain Asymptotic Variance-Covariance Matrices: The SEM Algorithm Journal of the American Statistical Association. ,vol. 86, pp. 899- 909 ,(1991) , 10.1080/01621459.1991.10475130
Leon Aarons, The estimation of population pharmacokinetic parameters using an EM algorithm. Computer Methods and Programs in Biomedicine. ,vol. 41, pp. 9- 16 ,(1993) , 10.1016/0169-2607(93)90062-P