Transition inhibition constant

Common inhibitors include stable radicals (Section 5.3.1), oxygen (5.3.2), certain monomers (5.3.3), phenols (5.3.4), quinones (5.3.5), phenothiazine (5.3.6), nitro and nitroso-compounds (5.3.7) and certain transition metal salts (5.3.8). Some inhibition constants (kjkp) are provided in Table 5.6. Absolute rate constants (kj) for the reactions of these species with simple carbon-centered radicals arc summarized in Tabic 5.7. 

In initial studies with /3-CD it was noted that values of ka vary in inverse proportion to the inhibition constant, Kt, suggesting that PI is bound in the CD cavity in the transition state (Tee and Hoeven, 1989). Therefore, the Pi-mediated reaction is more reasonably viewed as being between the ester and the PI-CD complex. The third-order processes in (21) and (24) are kinetically equivalent (k2 = k.JKs = kJKy), and so kb values are easily found from k.t. Such values of kb show some variation with structure but they are quite similar for different Pis and not very different from k2 for the reaction of the CD with pNPA For example, for pNPA reacting with 15 different alcohol /3-CD complexes values of kb span the range 10-95 m 1 s l (Table A5.14), close to k2 = 83m-1s-1 for the reaction of pNPA with /3-CD alone. Similar behaviour was observed for other Pis (Table A5.14) and for aCD (Table A5.13), for which k2 = 26 m-1 s 1. 

Trifluoromethyl /1-thioalkyls and /1-amino alcohols are often good reversible inhibitors of esterases and proteases, respectively. Depending on the enzymes (serine or aspartyl enzymes), fluorinated alcohols are often less efficient inhibitors than the corresponding ketones, which act as analogues of the transition state (vide infra). Nevertheless, fluoroalcohols inhibit hydrolytic enzymes with high inhibition constants (Figure 7.25)." ... 

A case similar to the slow, practically irreversible inhibition of jack bean a-D-mannosidase by swainsonine is represented by the interaction of castanospermine with isomaltase and rat-intestinal sucrase. Whereas the association constants for the formation of the enzyme-inhibitor complex were similar to those of other slow-binding glycosidase inhibitors (6.5 10 and 0.3 10 M s for sucrase and isomaltase, respectively), the dissociation constant of the enzyme-inhibitor complex was extremely low (3.6 10 s for sucrase) or could not be measured at all (isomaltase), resulting in a virtually irreversible inhibition. Danzin and Ehrhard discussed the strong binding of castanospermine in terms of the similarity of the protonated inhibitor to a D-glucosyl oxocarbenium ion transition-state, but were unable to give an explanation for the extremely slow dissociation of the enzyme-inhibitor complex. 

On the other hand, the use of a-cyclodextrin decreased the rate of the reaction. This inhibition was explained by the fact that the relatively smaller cavity can only accommodate the binding of cyclopentadiene, leaving no room for the dienophile. Similar results were observed between the reaction of cyclopentadiene and acrylonitrile. The reaction between hydroxymethylanthracene and N-ethylmaleimide in water at 45°C has a second-order rate constant over 200 times larger than in acetonitrile (Eq. 12.2). In this case, the P-cyclodextrin became an inhibitor rather than an activator due to the even larger transition state, which cannot fit into its cavity. A slight deactivation was also observed with a salting-in salt solution (e.g., quanidinium chloride aqueous solution). 

Cellulose pyrolysis kinetics, as measured by isothermal TGA mass loss, were statistically best fit using 1st- or 2nd-order for the untreated (control) samples and 2nd-order for the cellulose samples treated with three additives. Activation parameters obtained from the TGA data of the untreated samples suggest that the reaction mechanism proceeded through an ordered transition state. Sample crystallinity affected the rate constants, activation parameters, and char yields of the untreated cellulose samples. Various additives had different effects on the mass loss. For example, phosphoric acid and aluminum chloride probably increased the rate of dehydration, while boric acid may have inhibited levoglucosan... 

The GIPF technique has been used to establish quantitative representations of more than 20 liquid, solid and solution properties,31 34 including boiling points and critical constants, heats of phase transitions, surface tensions, enzyme inhibition, liquid and solid densities, etc. Our focus here shall be only upon those that involve solute-solvent interactions. 

Substrate analogs (2) have properties similar to those of one of the substrates of the target enzyme. They are bound by the enzyme, but cannot be converted further and therefore reversibly block some of the enzyme molecules present. A higher substrate concentration is therefore needed to achieve a halfmaximum rate the Michaelis constant increases (B). High concentrations of the substrate displace the inhibitor again. The maximum rate V ax is therefore not influenced by this type of inhibition. Because the substrate and the inhibitor compete with one another for the same binding site on the enzyme, this type of inhibition is referred to as competitive. Analogs of the transition state (3) usually also act competitively. 

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