Kinetic modeling linear logarithmic kinetics

Sterilization of Media First-order kinetics may be assumed for heat destruction of living matter, and this leads to a linear relationship when logarithm of the fraction surviving is plotted against time. However, nonlogarithmic kinetics of death are quite often found for bacterial spores. One model for such behavior assumes inactivation of spores via a sensitive intermediate state by the mechanism ... 

It is shown in Chapter 3 that a simple kinetic model of half-cell reactions leads to Tafel equations in which the overpotentials (r ) or polarizations of the oxidation and reduction components of a half-cell reaction are linearly dependent on the logarithm of the oxidation and reduction currents (Iox and Ired), respectively, or... 

One of the most common transformations is the natural logarithmic transformation of multiplicative models. Many pharmacokinetic parameters, such as area under the curve (AUC) and maximal concentration, are log-normal in distribution (Lacey et al., 1997), and hence, using the Ln-transformation results in approximate normality. The rationale is as follows (Westlake, 1988). For a drug that has linear kinetics and elimination occurs from the central compartment (the usual assumptions for a noncompartmental analysis) then... 

In order to account for these results Padalia et al. (1976) have proposed the following model of oxidation In Yb the oxide was assumed to be nucleated in islands and the linear kinetics was attributed to island growth. In the case of the other heavy rare earth metals the oxide was assumed to form a continuous film at the surface, which grows steadily deeper into the bulk thus accounting for the logarithmic relationship between exposure and O Is peak intensity. After an exposure of about 40 L O2 the oxide film was thought to form a protective layer which slows down the further oxidation as can be recognized in fig. 7. 

As a conclusion, from these experimental results alone, it is impossible to decide in favour of either adsorption law So, adsorption studies have to resort to other methods than purely kinetic ones in order to unravel the intricacies of an adsorbate-adsorbent system In the case in point, microcalorimetry allows to exclude at least one model,since chemisorption heat is a linear function not of the adsorbed volume, as it should be if the ELOVICH-TEMKIN model were obeyed, but of its logarithm ... 

Fig.l Kinetics of absorption changes at the probing wavelength =785 nm for Rb, sphaeroides. The filled circles represent the experimental data, the solid curve corresponds to a model calculation with decay times given in the text. For delay times > 1 ps the linear time scale is replaced by a logarithmic scale. The excitation wavelength is... 

Fig. 70. — Formal kinetic account of the complex dissociation process of solid-slate solutions of hemaiite-iype (h) to spinels ), MnsFe3.xO 7 (h) - MniFej. 04 (sp) + /4 Oi [548]. Left, the profiles of the equilibrium backgrounds (solid) and the corrcspondii kinetic advancements (dashed). Right, foitnal kinetic evaluation using the logarithmic (JMAYK) model equation with tite marked Mn-sloichiometry (x) and values of apparent activation energies ( ). The breaks on the linear interpolation (at x = 0,15 and 03) indicate the instant where the equilibrium background reaches its final value (Am I) terminating thus its interfermce with the kinetics (g = A/Am =...

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