Alfisol, Item 003:

LMMpro, version 2.0 The Langmuir Optimization Program plus The Michaelis-Menten Optimization Program

What does LMMpro do? List of Published Articles Using LMMpro History of Linear Regression Methods Linear Regressions Deriving Linear Regression Methods

NLLS Regressions v-NLLS Optimization n-NLLS Optimization Axes Conversion Factor (ACF) Types of Errors

Correlation Coefficient (r2) Correlation Coefficient (η2) Correlation Coefficient (η*2) Do's & Don't's References Cited

References Cited

1. Eadie, G.S. 1942. The inhibition of cholinesterase by physostigmine and prostigmine. J. Biol. Chem. 146:85-93.
2. Eadie, G.S. 1952. On the evaluation of the constants V_m and K_M in enzyme reactions. Science (Washington, DC) 116:688.
3. Gauss, J.C.F. 1809. Theoria motus corporum coelestium in sectionibus conicis solem ambientium. Perthes and Besser, Hamburg, Germany. (Theory of the Motion of the Heavenly Bodies Moving about the Sun in Conic Sections).
4. Hanes, C.S. 1932. CLXVII. Studies on plant amylases: I. The effect of starch concentration upon the velocity of hydrolysis by the amylase of germinated barley. Biochem. J. 26:1406-1421.
5. Haldane, J.B.S. 1957. Graphical methods in enzyme chemistry. Nature (London) 179:832.
6. Hofstee, B.H.J. 1952. On the evaluation of the constants V_m and K_M in enzyme reactions. Science 116:329-331.
7. Langmuir, I. 1916. The constitution and fundamental properties of solids and liquids. J. Am. Chem. Soc. 38:2221-2295.
8. Langmuir, I. 1918. The adsorption of gases on plane surfaces of glass, mica and platinum. J. Am. Chem. Soc. 40:1361-1403.
9. Legendre, A.M. 1805. Nouvelles méthodes pour la détermination des orbites des comètes. Appendice sur la méthode des moindres carrés, 72-80. Courcier. Paris, France.
10. Lineweaver, H., and D. Burk. 1934. The determination of enzyme dissociation constants. J. Am. Chem. Soc. 56:658-666.
11. Michaelis, L., and M.L. Menten. 1913. Die Kinetik der Invertinwirkung. Biochem. Z. 49:333-369.
12. Persoff, P., and J.T. Thomas. 1988. Estimating Michaelis-Menten or Langmuir isotherm constants by weighted nonlinear least squares. Soil Sci. Soc. Am. J. 52:886-889. (Erratum: SSSAJ 54:924 [1990]).
13. Scatchard, G. 1949. The attractions of proteins for small molecules and ions. Ann. N.Y. Acad. Sci. 51:660-672.
14. Schulthess, C.P., and D.K. Dey. 1996. Estimation of Langmuir constants using linear and nonlinear least squares regression analyses. Soil Sci. Soc. Am. J. 60:433-442.
15. Stewart, G.W. 1995. Theory of the combination of observations least subject to errors: Part one, part two, supplement. Translation of C.F. Gauss's memoirs published in the 1820s by the Royal Society of Gottingen. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA.
16. Stigler, S.M. 1981. Gauss and the invention of least squares. Annals of Statistics 9:465-474.