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Errors in the evaluation of Arrhenius and van't Hoff plots.

ABSTRACT: Errors in the numerical values of activation or normal enthalpies, entropies and free enthalpies calculated from Arrhenius or van't Hoff plots, respectively, are due to the neglect of equidimensionality in equations, or to inappropriate approximations. The logarithmization of dimensioned quantities should be avoided, which demands the use of relative concentrations if a change in mole number occurs in the reaction. The application of the Arrhenius plot to enzymic reactions by using Vmax./ET instead of the rate constant of product formation has meaning only if the reaction follows the simplest Michaelis-Menten mechanism; however, the use of the van't Hoff plot using Km is questionable even in the latter case.

SUBMITTER: Keleti T

PROVIDER: S-EPMC1154086 | biostudies-other | 1983 Jan

REPOSITORIES: biostudies-other

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Project description:1. Arrhenius plots of the glucagon-stimulated adenylate cyclase, 5'-nucleotidase, (Na+ + K+)-stimulated adenosine triphosphatase and Mg2+-dependent adenosine triphosphatase activities of control hamster liver plasma membranes exhibited two break points at around 25 and 13 degrees C, whereas Arrhenius plots of their activities in hibernating hamster liver plasma membranes exhibited two break points at around 25 and 4 degrees C. 2. A single break occurring between 25 and 26 degrees C was observed in Arrhenius plots of the activities of fluoride-stimulated adenylate cyclase, basal adenylate cyclase and cyclic AMP phosphodiesterase of liver plasma membranes from both control and hibernating animals. 3. Arrhenius plots of phosphodiesterase I activity showed a single break at 13 degrees C for membranes from control animals, and a single break at around 4 degrees C for liver plasma membranes from hibernating animals. 4. The temperature at which break points occurred in Arrhenius plots of glucagon- and fluoride-stimulated adenylate cyclase activity were decreased by about 7--8 degrees C by addition of 40 mm-benzyl alcohol to the assays. 5. Discontinuities in the Arrhenius plots of 4-anilinonaphthalene-1-sulphonic acid fluorescence occurred at around 24 and 13 degrees C for liver plasma membranes from control animals, and at around 25 and 4 degrees C for membranes from hibernating animals. 6. We suggest that in hamster liver plasma membranes from control animals a lipid phase separation occurs at around 25 degrees C in the inner half of the bilayer and at around 13 degrees C in the outer half of the bilayer. On hibernation a change in bilayer asymmetry occurs, which is expressed by a decrease in the temperature at which the lipid phase separation occurs in the outer half of the bilayer to around 4 degrees C. The assumption made is that enzymes expressing both lipid phase separations penetrate both halves of the bilayer, whereas those experiencing a single break penetrate one half of the bilayer only.

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Errors in the evaluation of Arrhenius and van't Hoff plots.

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