Optimum Experimental Designs for Choosing Between Competitive and Non Competitive Models of Enzyme Inhibition

References

• Atkinson , A. C. ( 1972 ). Planning experiments to detect inadequate regression models . Biometrika 59 : 275 – 293 .
   Web of Science ®Google Scholar
• Atkinson , A. C. ( 2008 ). DT-optimum designs for model discrimination and parameter estimation . J. Statist. Plann. Infer. 138 : 56 – 64 .
   Web of Science ®Google Scholar
• Atkinson , A. C. ( 2011 ). Some optimum designs for building enzyme inhibition kinetic models . J. Statist. Theor. Practice 10 : 143 – 162 .
   Google Scholar
• Atkinson , A. C. , Bogacka , B. (in press) . Optimum designs for the equality of parameters in enzyme inhibition kinetic models . J. Statist. Plann. Infer.
   Google Scholar
• Atkinson , A. C. , Cox , D. R. ( 1974 ). Planning experiments for discriminating between models (with discussion) . J. Roy. Statist. Soc. Ser. B 36 : 321 – 348 .
   Google Scholar
• Atkinson , A. C. , Donev , A. N. , Tobias , R. D. ( 2007 ). Optimum Experimental Designs, with SAS . Oxford : Oxford University Press .
   Google Scholar
• Atkinson , A. C. , Fedorov , V. V. ( 1975 ). The design of experiments for discriminating between two rival models . Biometrika 62 : 57 – 70 .
   Web of Science ®Google Scholar
• Bogacka , B. , Patan , M. , Johnson , P. , Youdim , K. , Atkinson , A. C. ( 2011 ). Optimum designs for enzyme inhibition kinetic models . J. Biopharm. Statist. 21 : 555 – 572 .
   PubMed Web of Science ®Google Scholar
• Dette , H. ( 1990 ). A generalization of D- and D 1-optimal designs in polynomial regression . Ann. Statist. 23 : 1784 – 1804 .
   Web of Science ®Google Scholar
• Dette , H. ( 1995 ). Optimal designs for identifying the degree of a polynomial regression . Ann. Statist. 23 : 1248 – 1267 .
   Web of Science ®Google Scholar
• Dette , H. , Franke , T. ( 2001 ). Robust designs for polynomial regression by maximizing a minimum of D- and D1-efficiencies . Ann. Statist. 29 : 1024 – 1049 .
   Web of Science ®Google Scholar
• Dette , H. , Titoff , S. ( 2008 ). Optimal discrimination designs . Ann. Statist. 37 : 2056 – 2082 .
   Web of Science ®Google Scholar
• Dette , H. , Pepelyshev , A. , Shpilev , P. , Wong , W. K. ( 2010 ). Optimal designs for discriminating between dose response models in toxicology studies . Bernoulli 16 : 1164 – 1176 .
   Web of Science ®Google Scholar
• Fedorov , V. V. , Hackl , P. ( 1997 ). Model-Oriented Design of Experiments . Lecture Notes in Statistics 125. New York : Springer Verlag .
   Google Scholar
• Gotwalt , C. M. , Jones , B. A. , Steinberg , D. M. ( 2009 ). Fast computation of designs robust to parameter uncertainty for nonlinear settings . Technometrics 51 : 88 – 95 .
   Web of Science ®Google Scholar
• Kiefer , J. , Wolfowitz , J. ( 1960 ). The equivalence of two extremum problems . Can. J. Math. 12 : 363 – 366 .
   Google Scholar
• Läuter , E. ( 1974 ). Experimental design in a class of models . Mathematische Operationsforschung und Statistik, Serie Statistik 5 : 379 – 398 .
   Google Scholar
• López-Fidalgo , J. , Tommasi , C. , Trandafir , C. ( 2008 ). Optimal designs for discriminating between some extensions of the Michaelis–Menten model . J. Statist. Plann. Infer. 138 : 3797 – 3804 .
   Web of Science ®Google Scholar
• Michaelis , L. , Menten , M. ( 1913 ). Die Kinetik der Invertinwirkung . Biochemische Zeitschrift 49 : 333 – 369 .
   Google Scholar
• Pukelsheim , F. ( 1993 ). Optimal Design of Experiments . New York : Wiley .
   Google Scholar
• Segel , I. H. ( 1993 ). Enzyme Kinetics: Behavior and Analysis of Rapid Equilibrium and Steady-State Enzyme Systems. , 2nd ed. New York : Wiley .
   Google Scholar
• Wiens , D. P. ( 2009 ). Robust discrimination designs . J. Roy. Statist. Soc. Ser. B 71 : 805 – 829 .
   Google Scholar
• Woods , D. C. , Lewis , S. M. , Eccleston , J. A. , Russell , K. G. ( 2006 ). Designs for generalized linear models with several variables and model uncertainty . Technometrics 48 : 284 – 292 .
   Web of Science ®Google Scholar