A simulation study on designing experiments to measure the Km of Michaelis-Menten kinetics curves

Journal of Theoretical Biology

Volumn 178, Issue 3, 1996, Pages 239-254

  Ritchie, Raymond J ^b   Prvan, Tania ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; DATA ANALYSIS; MICHAELIS MENTEN KINETICS; PRIORITY JOURNAL; REGRESSION ANALYSIS; SYSTEM ANALYSIS; VARIANCE;

EID: 0029933425     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1006/jtbi.1996.0023     Document Type: Article

References (37)

1. ASKELOF, P., KORNSFELDT, M. & MANNERVIK, B. (1976). Error structure of enzyme kinetic experiments: Implications for weighting in regression analysis of experimental data. Eur. J. Biochem. 69, 61-67.
2. ATKINS, G. L. & NIMMO, I. A. (1981). Robust alternatives to least squares. In: Kinetic Data Analysis: design and analysis of enzyme andpharmacokinetic experiments. (Endrenyi, L. ed.), pp 121-135. New York & London: Plenum Press.
3. CLELAND, W. W. (1967). The statistical analysis of enzyme kinetic data. Adv. Enzymol. 29, 1-32.
4. CLELAND, W. W. (1979). Statistical analysis of enzyme kinetic data. Methods Enzymol. 63, 103-138.
5. COLQUHOUN, D. (1971). Lectures on biostatistics: an introduction to statistics with applications in biology and medicine. Oxford: Clarendon Press.
6. CORNISH-BOWDEN, A. (1981). Robust estimation in enzyme kinetics. In: Kinetic Data Analysis: design and analysis of enzyme and pharmacokinetic experiments. (Endrenyi, L. ed.), pp 105-119. New York & London: Plenum Press.
7. CORNISH-BOWDEN, A. (1982). Weighting of linear plots in enzyme kinetics. J. Mol. Sci. 2, 107-112.
8. CORNISH-BOWDEN, A. (1985). A Fortran program for robust regression of enzyme kinetic data. In: Techniques in the Life Sciences, B1/II Supplement Protein and Enzyme Biochemistry, BS115. (Tipton, K. F., ed.), pp 1-22. Dublin: Elsevier Scientific.
9. CORNISH-BOWDEN, A. (1991). Parameter estimating procedures for the Michaelis-Menten model: reply to Tseng and Hsu. J. theor. Biol. 153, 437-440.
10. CORNISH-BOWDEN, A., PORTER, W. R. & TRAGER, W. F. (1978). Evaluation of distribution-free confidence limits for enzyme kinetic parameters. J. theor. Biol. 74, 163-175.
11. DI CERA, E. (1992). Use of weighting functions in data fitting. Methods Enzymol. 210, 68-87.
12. DOWD, J. E. & RIGGS, D. S. (1965). A comparison of estimates of Michaelis-Menten kinetic constants from various linear transformations. J. Biol. Chem. 240, 863-869.
13. DUGGLEBY, R. G. (1981). Experimental designs for the distribution-free analysis of enzyme kinetic data. In: Kinetic Data Analysis: design and analysis of enzyme and pharmacokinetic experiments. (Endrenyi, L. ed.). pp 169-179. New York & London: Plenum Press.
14. ENDRENYI, L. (1981). Design of experiments for estimating enzyme and pharmacokinetic parameters. In: Kinetic Data Analysis: design and analysis of enzyme and pharmacokinetics experiments. (Endrenyi, L. ed.). pp 137-167. New York & London: Plenum Press.
15. ENDRENYI, L. & KWONG, F. H. F. (1981). Tests for the behaviour of experimental errors. In: Kinetic Data Analysis: design and analysis of enzyme and pharmacokinetic experiments. (Endrenyi, L. ed.) pp 89-103. New York & London: Plenum Press.
16. GILDER, J. H. (1980). BASIC computer programs in science and engineering. Rochelle Park, U.S.A.: Hayden Book Co.
17. HERRIES, D. G. (1992). Microcomputer Software Reviews: ENZPAK 3. Biochem. Ed. 20, 118.
18. JOHNSON, M. L. & FAUNT, L. M. (1992). Parameter estimation by least squares methods. Methods Enzymol. 210, 1-37.
19. LEE, J. D. & LEE, T. D. (1982). Statistics and Computer Methods in BASIC. New York: Van Nostrand Reinhold.
20. LINEWEAVER, H. & BURK, D. (1934). The determination of enzyme dissociation constants. J. Am. Chem. Soc. 56, 658-666.
21. LINEWEAVER, H., BURK, D. & DEMING, W. E. (1934). The dissociation constant of nitrogen-nitrogenase in Azotobacter. J. Am. Chem. Soc. 56, 225-230.
22. MARKUS, M., HESS, B., OTTWAY, J. H. & CORNISH-BOWDEN, A. (1976). The analysis of kinetic data in biochemistry. A critical evaluation of methods. FEBS Letters 63, 225-230.
23. MATHER, K. (1972). Statistical Analysis in Biology. London: Chapman & Hall.
24. METZLER, C. M. (1981). Statistical properties of kinetic estimates. In: Kinetic Data Analysis: design and analysis of enzyme and pharmacokinetic experiments. (Endrenyi, L. ed.), pp 25-37. New York & London: Plenum Press.
25. NEAME, K. D. & RICHARDS, T. G. (1972). Elementary Kinetics of Membrane Carrier Transport. Oxford: Blackwell Scientific.
26. PRESS, W. H., FLANNERY, B. P., TEUKOLOSKY, S. A. & VETTERLING, W. T. (1992a). Numerical Recipes in Fortran: the art of scientific computing. Cambridge: Cambridge University Press.
27. PRESS, W. H., FLANNERY, B. P., TEUKOLOSKY, S. A. & VETTERLING, W. T. (1992b). Numerical Recipes in C: the art of scientific computing. Cambridge: Cambridge University Press.
28. SOKAL, R. R. & ROHLF, F. J. (1981). Biometry: the principles and practice of statistics in biological research. New York: Freeman & Co.
29. SPROTT, J. C. (1991). Numerical Recipes Routines and Examples in BASIC. Cambridge: Cambridge University Press.
30. STEPHENS, M. A. (1974). EDF Statistics for goodness of fit and some comparisons. J. Am. Stat. Assoc. 69, 730-737.
31. STRAUME, M. & JOHNSON, M. L. (1992). Analysis of Residuals: criteria for determining goodness-of-fit. Methods Enzymol. 210, 87-105.
32. STUDNICKA, G. M. (1987). Hyperbolic regression analysis for kinetics, electrophoresis, ELISA, RIA, Bradford, Lowry, and other applications. CABIOS 3, 9-16.
33. THORNLEY, J. H. M. (1976). Mathematical Models in Plant Physiology. London: Academic Press.
34. TSENG, S. & Hsu, J.-P. (1990). A comparison of the parameter estimating procedures for the Michaelis-Menten Model. J. theor. Biol. 145, 457-464.
35. WATTS, D. G. (1981). An introduction to nonlinear least squares. In: Kinetic Data Analysis: design and analysis of enzyme and pharmacokinetic experiments. (Endrenyi, L. ed.), pp 1-24. New York & London: Plenum Press.
36. WILKINSON, G. N. (1961). Statistical estimations in enzyme kinetics. Biochem. J. 80, 324-332.
37. ZAR, J. H. (1984). Biostatistical Analysis. (2nd edn.) Engelwood Cliffs, NJ: Prentice-Hall.