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This last form of the Hill equation is advantageous because a plot of versus [] yields a linear plot, which is called a Hill plot. [ 7 ] [ 8 ] Because the slope of a Hill plot is equal to the Hill coefficient for the biochemical interaction, the slope is denoted by n H {\displaystyle n_{H}} .
The first description of cooperative binding to a multi-site protein was developed by A.V. Hill. [4] Drawing on observations of oxygen binding to hemoglobin and the idea that cooperativity arose from the aggregation of hemoglobin molecules, each one binding one oxygen molecule, Hill suggested a phenomenological equation that has since been named after him:
The most efficient enzymes reach a / in the range of 10 8 – 10 10 M −1 s −1. These enzymes are so efficient they effectively catalyse a reaction each time they encounter a substrate molecule and have thus reached an upper theoretical limit for efficiency ( diffusion limit ); and are sometimes referred to as kinetically perfect enzymes ...
Curve of the Michaelis–Menten equation labelled in accordance with IUBMB recommendations. In biochemistry, Michaelis–Menten kinetics, named after Leonor Michaelis and Maud Menten, is the simplest case of enzyme kinetics, applied to enzyme-catalysed reactions involving the transformation of one substrate into one product.
Fig. 1: Isoclines (blue), slope field (black), and some solution curves (red) of y' = xy. The solution curves are y = C e x 2 / 2 {\displaystyle y=Ce^{x^{2}/2}} . Given a family of curves , assumed to be differentiable , an isocline for that family is formed by the set of points at which some member of the family attains a given slope .
Allometry (Ancient Greek ἄλλος állos "other", μέτρον métron "measurement") is the study of the relationship of body size to shape, [1] anatomy, physiology and behaviour, [2] first outlined by Otto Snell in 1892, [3] by D'Arcy Thompson in 1917 in On Growth and Form [4] and by Julian Huxley in 1932. [5]
The inverse of the Bertalanffy growth rate appears to depend linearly on the ultimate length, when different food levels are compared. The intercept relates to the maintenance costs, the slope to the rate at which reserve is mobilized for use by metabolism. The ultimate length equals the maximum length at high food availabilities. [1]
The regression equation takes the form of Y = bX + a, where b is the slope and gives the weight empirically assigned to an explanator, X is the explanatory variable, and a is the Y-intercept, and these values take on different meanings based on the coding system used.