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RANCANGAN D-OPTIMAL MODEL MICHAELIS MENTEN DAN EMAX DENGAN MATLAB

*Tatik Widiharih  -  Jurusan Statistika FSM Undip, Indonesia
Sri Haryatmi  -  Jurusan Matematika FMIPA UGM, Indonesia
Gunardi Gunardi  -  Jurusan Matematika FMIPA UGM, Indonesia
Yuciana Wilandari  -  Jurusan Statistika FSM Undip, Indonesia

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Abstract

Michaelis Menten and Emax models  are  widely used in chemistry, pharmacokinetics and pharmacodynamics areas. D-optimal criteria is criteria with the purpuse to minimize the variance of the estimator of parameters in the model. In this paper will discuss the D-optimal design for Michaelis Menten and Emax models with  homoscedastics  error assumtion.  Determination of D-optimal designs based on Generalied Equivalence Theorem Kiefer-Wolvowitz. We used minimally supported design with the proportion of  each design point is uniform, lower bound of design region is design point and the others are interior points.


Keywords: D-optimal, Michaelis Menten, Emax, Minimally Supported Design, Homoscedastics

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Last update: 2024-03-27 00:41:00

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