Hill Analysis

High-throughput Screening High-voltage-activated Ca2+Channels Hill Analysis... 

It is important to note that Hill analysis of supramolecular synthetic ion channels and pores is not fully developed and deserves appropriate caution. The usefulness of chemical or thermal denaturation [12-14, 24] to temporarily transform exergonic Class II into endergonic Class I supramolecules for clear-cut demonstration of their true Hill coefficient as well as their supramolecular nature, for example, remains to be explored. 

Parallel and antiparallel self-assembly can be differentiated by voltage dependence Parallel self-assembly of asymmetric monomers gives voltage-sensitive, antiparallel self-assembly voltage-insensitive synthetic ion channels and pores [9]. Other indirect evidence from function such as inner diameters from Hill analysis of single-channel conductance (Section 11.3.3) or other size exclusion experiments is often used to support indications for supramolecular active structures molecular modeling can be of help as well [3, 4, 10]. 

Should one use the Hill plot in practice to examine the initial velocity behavior of enzymes Because infinite cooperativity is assumed to be the basis of the Hill treatment, only rapidly equilibrating systems are suitable for the Hill analysis. However, enzyme systems displaying steady-state kinetic behavior will not satisfy this requirement for this reason, one must avoid the use of kinetic data in any application of the Hill equation to steady-state enzyme systems. 

Stoichiometry Hill analysis and undetectable active structures... 

Hill analysis is the most important technique to characterize synthetic transport systems. For HiU analysis, the dependence of the fractional activity Y (Section 3.1) on the concentration cm of the monomer used to self-organize or self-assemble into active transport systems is measured (Figure 11). The obtained dose-response curve (or Hill plot, or Cm profile) is analyzed by nonlinear regression using the Hill equation... 

Figure 11 Hill plots are dose-response curves that describe the dependence of activity on monomer concentration. Hill analysis can differentiate between (a) unstable supramolecular active structures (n > 1 known stoichiometry, undetectable suprastructure) and (b) stable supramolecular or unimolecular active structures (n < 1 unknown stoichiometry, detectable suprastructure). Single channel lifetimes (t) differentiate between labile and inert active structures, whereas both open probabilities and Hill coefficients indicate thermodynamic stabilities.

Pore diameter Hille analysis and size exclusion... 

Figure 16 (a, b) Inactivation and (c, d) activation of synthetic transport systems, characterized by Hill analysis (Section 4.7), can... 

Figure 19 The HPTS assay and the Hurst assay to detect artificial photosynthesis, (a) In the HPTS assay, intenal quinone reduction with light produces a proton gradient, which is detected by the pH-sensitive HPTS. (b) In the Hurst assay, internal cobalt reduction with light is detected by a change in color, (c) Electrogenic and electroneutral photosynthesis can be discriminated in the Hurst assay by the sensitivity toward the proton carrier FCCP. (d) Hill analysis of dose response curves delivers the basic information on the photosystem.

Knaebel, K.S. and F.B. Hill, Analysis of gas purification by heatless adsorption", AlChF National Meeting, Los Angeles, CA, Nov. 14-18 (1982), paper 91d. 

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