Nonlinear estimation of parameters in biphasic arrhenius plots
β Scribed by Martin L. Puterman; Nina Hrboticky; Sheila M. Innis
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 873 KB
- Volume
- 170
- Category
- Article
- ISSN
- 0003-2697
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β¦ Synopsis
This paper presents a formal procedure for the statistical analysis of data on the thermotropic behavior of membrane-bound enzymes generated using the Arrhenius equation and compares the analysis to several alternatives. Data is modeled by a bent hyperbola. Nonlinear regression is used to obtain estimates and standard errors of the intersection of line segments, defined as the transition temperature, and slopes, defined as energies of activation of the enzyme reaction. The methodology allows formal tests of the adequacy of a biphasic model rather than either a single straight line or a curvilinear model. Examples on data concerning the thermotropic behavior of pig brain synaptosomal acetylcholinesterase are given. The data support the biphasic temperature dependence of this enzyme. The methodology represents a formal procedure for statistical validation of any biphasic data and allows for calculation of all line parameters with estimates of precision.
π SIMILAR VOLUMES
The rates of most physical, chemical and biological processes vary with temperature and numerous instances have been reported in which Arrhenius plots of the experimental data appear to consist of two straight line segments joined by a relatively sharp break. An empirical model, based on a general h
## Relations between intrinsic thermodynamic functions of lattice vacancies are derived and are shown to parallel the standard thermodynamic identities valid for reversible changes of a closed, one-component phase. The straight-line Arrhenius plot method of determining enthalpies and entropies of