A program package for simulation and parameter estimation in pharmacokinetic systems

Computer Programs in Biomedicine - Tập 9 - Trang 115-134 - 1979
David Z D'argenio1,2,3, Alan Schumitzky1,2,3
1Department of Biomedical Engineering, University of Southern California, Los Angeles, CA 9007, USA
2Department of Mathematics, University of Southern California, Los Angeles, CA 9007, USA
3The Laboratory of Applied Pharmacokinetics, University of Southern California, Los Angeles, CA 9007, USA

Tài liệu tham khảo

Pfeffer, 1973, A time-sharing program for nonlinear regression analysis of compartment models of drug distribution, J. Pharm. Biopharm., 2, 137, 10.1007/BF01059627 Buell, 1971, A program for identification of linear systems, Comput. Prog. Biomed., 2, 8, 10.1016/0010-468X(71)90003-1 Feldman, 1977, A short parameter-fitting routine for compartment models, Comput. Prog. Biomed., 7, 135, 10.1016/0010-468X(77)90022-8 Marquardt, 1966, Least squares estimation of nonlinear parameters, IBM Share Library Prog. no. 309401 Pedersen, 1977, Curve fitting and modeling in pharmacokinetics and some practical experiences with NONLIN and a new program FUNFIT, J. Pharm. Biopharm., 5, 513, 10.1007/BF01061732 Berman, 1968 Metzler, 1969, NONLIN, a computer program for parameter estimation in nonlinear situations Colburn, 1976, Pharmacokinetic analysis of drug concentration data obtained during repetitive drug administration, J. Pharm. Biopharm., 4, 469, 10.1007/BF01064553 Wagner, 1975 Shampine, 1975 Box, 1966, A comparison of several current optimization methods, and the use of transformations in constrained problems, Comput. J., 9, 67, 10.1093/comjnl/9.1.67 Bard, 1970, Comparison of gradient methods for the solution of nonlinear parameter estimation problems, SIAM J. Num. Anal., 7, 157, 10.1137/0707011 Hartley, 1961, The modified Gauss-Newton method for fitting of nonlinear regression functions by least squares, Technometrics, 3, 269, 10.1080/00401706.1961.10489945 Armijo, 1966, Minimization of functions having Lipschitz continuous first derivatives, Pacific J. Math., 16, 1, 10.2140/pjm.1966.16.1 Marquardt, 1963, An algorithm for least-squares estimation of nonlinear parameters, SIAM J. Appl. Math., 11, 431, 10.1137/0111030 Brown, 1972, Derivative free analogues of the Levenberg-Marquardt and Gauss algorithms for nonlinear least squares approximations, Num. Math., 18, 289, 10.1007/BF01404679 Brown, 1972, Computer oriented methods for fitting tabular data in the linear and nonlinear least squares sense, 10.1145/1480083.1480176 International Mathematical and Statistical Libraries, Inc, 1977 Hopper, 1973, The Harwell Subroutine Library, Harwell Rep. AERE - R. 7477 Nelder, 1965, A simplex method for function minimization, Comput. J., 4, 308, 10.1093/comjnl/7.4.308 Olsson, 1975, The Nelder-Mead simplex procedure for function minimization, Technometrics, 17, 45, 10.1080/00401706.1975.10489269 Bard, 1974 Rosenbrock, 1966 Jennrich, 1969, Asymptotic properties of non-linear least squares estimators, Ann. Math. Stat., 40, 633, 10.1214/aoms/1177697731 Olsson, 1974, A sequential simplex program for solving minimization problems, J. Qual. Technol., 6, 53, 10.1080/00224065.1974.11980616