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Variations in the Hill-parameters of haemolymph--glucosidase kinetics compared with new algebraic methods at three nymphal stages of worker bees (Apis mellifica, mellifica L.)



Variations in the Hill-parameters of haemolymph--glucosidase kinetics compared with new algebraic methods at three nymphal stages of worker bees (Apis mellifica, mellifica L.)



Comparative Biochemistry and Physiology B Comparative Biochemistry 633: 407-416



1.1. The repercussion of (10) to (+10)% relative errors in the estimation of VM, on the determination of n and K according to the Hill equation and on the shape of the logarithmic plot of this relation are presented, using simulation equations in which the theoretical Hill coefficient n varies from 0.6 to 1.4. An empirically improved method allows VM to be calculated from the double reciprocal plot v11S11) in n 1 cases, on the condition that v1(min) > 0.75 VM.2.2. Two rigorous algebraic equations are proposed for convenient determination of both VM, K and n from a saturation curve such as: v1, vp, vq should be the initial velocities respectively determined for S1 = 1 unit, Sp = p and Sq = q. The two available peculiarities are: 1st case, p·q = 1 VM = [2v1 (1vp+1vq)][1v211vp·vq] 2nd case, q = p2 VM = [2v1 (1vp+1vq)][1v211vp·vq]According to these VM determinations, the apparent affinity constant, then the Hill coefficient respectively arise from the equations: K = VMv1) 1 and n = [ln(K · v1) ln(VM v1)]/ln S13.3. These equations allow a simple but strict determination of non-Michaelian as well as Michaelian kinetics parameters of enzyme activity. They are applied to the haemolymph -glucosidase activity, at three characteristic stages of honey-bee nymphs, in which: n = 0.65 (first stage); n = 1.00 (middle stage); n = 1.21 (final stage). The results are compared, for accuracy, with those of other different calculation methods.

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Accession: 022078458

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DOI: 10.1016/0305-0491(79)90270-0


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