Interaction of multiple ligands with a protein or protein complex is a widespread phenomenon that allows for cooperativity. Here, we review the use of the Hill equation, which is commonly used to analyze binding or kinetic data, to analyze the kinetics of ion-coupled transporters and show how the mechanism of transport affects the Hill coefficient. Importantly, the Hill analysis of ion-coupled ...

P age 715. In the legend of Figure 5, the sentence " Fits to the Hill equation (dashed line) and to eq 2 (solid line) are shown " should read " Fits to the Hill equation (solid line) and to eq 2 (dashed line) are shown ". We apologize for any confusion this error may have caused. We thank Professor M. Kuhn for drawing our attention to this error. This is an open access article published under a...

The binding data for interaction of a homologous series of n-alkyl sulfates with alkyl chainlengths from C8 to C12 with insulin were analyzed on basis of Hill equation for two classes ofbinding sites .The intrinsic Gibbs free energies were calculated and resolute on basis ofelectrostatic and hydrophobic contributions The estimation of these contributions reveals themajor role of electrostatic i...

In this paper we give a nonoscillation criterion for half-linear equations with periodic coefficients under fixed moments of impulse actions. The method is based on existence of positive solutions of the related Riccati equation and a recently obtained comparison principle. In the special case when the equation becomes impulsive Hill equation new oscillation criteria are also obtained.

For almost four decades, Hill's "Model 4" [J. Fluid Mech. 88, 541 (1978) has played a central role in research and technology of optical turbulence. Based on Batchelor's generalized Obukhov-Corrsin theory of scalar turbulence, Hill's model predicts the dimensionless function h(κl(0), Pr) that appears in Tatarskii's well-known equation for the 3D refractive-index spectrum in the case of homogene...

Muscles shorten faster against light loads than they do against heavy loads. The hyperbolic equation first used by A.V. Hill over seven decades ago to illustrate the relationship between shortening velocity and load is still the predominant method used to characterize muscle performance, even though it has been regarded as purely empirical and lacking precision in predicting velocities at high ...