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Topic: Hill coefficient

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Cooperative binding

Archibald Vivian Hill

Hemoglobin

Wrangler

Mathematics

	friction coefficient
		with various blank-holder;(3) the larger static friction coefficient between sheet and convex mould is, the smaller deformation of side-wall and fillet is, which is in favor of sheet forming; while small dynamic friction coefficient...
		A general expression for the semi-relativistic viscous friction coefficient is obtained and the particular case of constant differential cross-section is analyzed for which the non-relativistic and ultra relativistic limiting cases are...
		Coefficient friction coefficient 摩擦系数 fringing coefficient 【电】边缘系数 fuel coefficient 燃料（消耗）系数 fugacity coefficient 逸度系数 gain coefficient 增益系数 gap coefficient 间隙系数，电子耦合系数 gas-filled coefficient 充气系数...
	www.tribotesters.com /tribology/friction_coefficient.php (3632 words)

	Dorlands Medical Dictionary
		The true theoretical correlation coefficient for a population is symbolized ρ; the sample correlation coefficient, computed from experimental data, estimates the theoretical and is symbolized r.
		in radiology, the linear absorption coefficient divided by the density of the absorber.
		The coefficient is calculated by dividing the concentration of the test compound at which it kills the test organism in 10 minutes, but not in 5 minutes, by the concentration of phenol that kills the organism under the same conditions.
	www.mercksource.com /pp/us/cns/cns_hl_dorlands.jspzQzpgzEzzSzppdocszSzuszSzcommonzSzdorlandszSzdorlandzSzdmd_c_44zPzhtm (2056 words)

	Archibald Vivian Hill - Wikipedia, the free encyclopedia
		Archibald Vivian Hill CH CBE (September 26, 1886–June 3, 1977) was a British physiologist, one of the founders of the diverse disciplines of biophysics and operations research.
		His early work involved the characterisation of what came to be known as Michaelis-Menten kinetics and the use of the Hill coefficient.
		Hill returned to Cambridge in 1919 before taking the chair in physiology at the Victoria University of Manchester in 1920.
	en.wikipedia.org /wiki/Archibald_Vivian_Hill (370 words)

	Archibald Hill Summary
		Hill, however, decided to forego the study of the chemical process to concentrate instead on the heat changes that occur during muscular activity.
		Hill theorized that since the heat produced by the two phases of muscular contraction was not enough to eliminate all the lactic acid, it probably changed back to its precursor.
		Archibald Vivian Hill CH CBE FRS (September 26, 1886 – June 3, 1977) was an English physiologist, one of the founders of the diverse disciplines of biophysics and operations research.
	www.bookrags.com /Archibald_Hill (3248 words)

	Theoretical Biology and Medical Modelling \| Full text \| Number of active transcription factor binding sites is ...
		To compute the Hill coefficient in the Hes7 oscillator we use a model recently proposed in [10], which mimics the chemical reactions model for ligand binding in [11,12].
		The Hill coefficient was varied from 2.0 (the value used in [8]) to 2.4 and 2.6.
		For a Hill coefficient equal to 2.4, the damping of the oscillations is much more restrained: After 1700 minutes, during which time more than 14 somites are formed, the oscillation amplitude is greater than after 3 oscillations in the system with a Hill coefficient equal to 2 (Fig.
	www.tbiomed.com /content/3/1/11 (3051 words)

	Chapter 5 Writing Rate Laws for Binding Processes
		In a classic study of the kinetics of oxygen binding to hemoglobin, A.V. Hill formulated a modification of the usual binding equation that permits it to account for cooperative behavior.
		This ratio, just like the corresponding fraction without the Hill coefficient, always falls in the range from zero to one, and represents the fraction of receptors occupied by hormone.
		As a specific example, notice that for a Hill coefficient of 2, a doubling of stimulus (from 0.2 to 0.4) yields a 10-fold increase in response (from 0.01 to 0.1).
	www.bioinformaticsservices.com /bis/resources/cybertext/chapter5.html (753 words)

	Jenny Ross' Website: Research
		The Hill coefficient is an estimate of the number of taxols that are binding cooperatively.
		The Hill coefficient of such a plot is 1, indicating no cooperativity in binding.
		The Hill coefficient is 15, which is a very high amount of cooperativity.
	www.physics.ucsb.edu /~jennyr/research4.html (1092 words)

	Lecture 14: Analysis of Cooperative Binding (Site not responding. Last check: 2007-09-05)
		The Hill plot is based on the following transformation of the above binding equation:
		Θ = 0 (Y=0.5) is the Hill coefficient, n
		The Hill plot for oxygen binding to normal adult hemoglobin is shown to the right
	stingray.bio.cmu.edu /~web/bc/Lec/Lec14/lec14.html (231 words)

	[No title] (Site not responding. Last check: 2007-09-05)
		This model calculates the apparent Hill coefficient as a function of S. The maximum apparent Hill coefficient occurs at S1/2, the half saturation substrate concentration.
		Run the model and observe the plot page hill_model, wherein the slope of the Hill saturation curve is plotted and an estimate of the Hill coefficient from the saturation curve is also plotted.
		Verify that the estimate of Hill coefficient is the same as the one used in the model.
	nsr.bioeng.washington.edu /Courses/BioQuest/Enzyme/Hill4site.proj (351 words)

	Patent 6,160,098
		The Hill coefficient is a measure of the cooperativity of the hemoglobin molecule.
		The method by which cooperativity (as measured by the Hill coefficient) is controlled is by modulating at least one "Hill coefficient-affecting paramter" such as the time, temperature, pH, rate of addition of hemoglobin, or molar ratio of the crosslinking reagent to hemoglobin during the crosslinking reaction.
		The target Hill coefficient is in the range from about 1.0 to 3.0, preferably greater than about 1.7, most preferably about 2.2.
	pharmcast.com /Patents/Dec2000/121200OG/6160098_Hemoglobins121200.htm (534 words)

	Functional Characterization of the Betaine/gamma -Aminobutyric Acid Transporter BGT-1 Expressed in Xenopus Oocytes -- ...
		Hill coefficient for Cl was close to 1 irrespective of the holding potential.
		The Hill coefficient for Cl was 1.1 ± 0.1 and 1.0 ± 0.1 for
		The Hill coefficient for GABA was 1.02 ± 0.05 for 130 m
	www.jbc.org /cgi/content/full/274/24/16709 (3878 words)

	Computer Simulation of Metabolism - Center for Plant Environmental Stress Physiology - Department of Horticulture and ...
		When an additional variable, corresponding to a Hill coefficient, is introduced for each reaction rate it is possible to consider allosteric behavior; specifically cooperative substrate binding, yielding a sigmoidal relationship between reaction rate and substrate concentration [pool size].
		When the Hill coefficient for rate B3 is increased to 3 [i.e.
		40, where the Hill coefficient is set to 2 for all of the rates.
	www.hort.purdue.edu /cfpesp/models/mo00011.htm (597 words)

	Amplification
		As we did with the Hill coefficient, we analyse the amplification for each step in the operating range.
		If the response is rather Michaelis-Menten-like (Hill coefficient of 1) than maximal amplification is provided in case of very low saturated kinase.
		Maximal amplification of the entire cascade can be reached by adjusting the operating range of the first step be in very low saturation and for the second step in middle activation.
	itb.biologie.hu-berlin.de /~nils/Bluethgen01/paper/node4.html (291 words)

	Alternative sulfonylurea receptor expression defines metabolic sensitivity of K-ATP channels in dopaminergic midbrain ... (Site not responding. Last check: 2007-09-05)
		The line represents the fit of the mean data by a Hill equation with an IC of 6.3
		The lines represent the fits of the mean data of three different subpopulations (DA-I, DA-II and DA-III) by Hill equations (DA-I: IC M, Hill coefficient = 0.98; DA-II: IC M, Hill coefficient = 0.95; DA-III: IC M, Hill coefficient = 1.08).
		Data were obtained by fitting Hill equations to the tolbutamide concentration−response curves determined for individual GABAergic and dopaminergic SN neurons.
	www.nature.com /emboj/journal/v18/n4/fig_tab/7591518f5.html (286 words)

	An Empirical Extremum Principle for the Hill Coefficient in Ligand-Protein Interactions Showing Negative Cooperativity ...
		and the slope of the Hill plot at the experimentally determined
		, and the expression for the slope of the Hill plot at the
		Hill, A. The possible effects of the aggregation of the molecules of haemoglobin on its oxygen dissociation curve.
	www.biophysj.org /cgi/content/full/89/1/76 (1911 words)

	Glaxo Wellcome and Science - Global
		When saturation or competition data are directly fitted to a logistic equation in this way, the Hill plot becomes unnecessary, since the calculated value of n is equivalent to the slope of the Hill plot.
		As with the Scatchard plot, the Hill plot has now largely been superseded by computer- fitting of the curves to a one- or multi-site model.
		Hill plot from the saturation curve for a radioligand.
	www.pdg.cnb.uam.es /cursos/Barcelona2002/pages/Farmac/Comput_Lab/Guia_Glaxo/chap3b.html (732 words)

	Alternative sulfonylurea receptor expression defines metabolic sensitivity of K-ATP channels in dopaminergic midbrain ... (Site not responding. Last check: 2007-09-05)
		The line represents the fit of the mean data by a Hill equation with an EC of 14.5 nM and Hill coefficient of 0.78.
		The line represents the fit of the mean data by a Hill equation with an EC of 16.2 nM and Hill coefficient of 0.94.
		M, a Hill coefficient of 1 and a maximal hyperpolarization to -58.3 mV.
	www.nature.com /emboj/journal/v18/n4/fig_tab/7591518f7.html (523 words)

	BioMath: Rational Applications
		A common application of the Hill equation is modeling cooperative enzymes.
		These enzymes are under allosteric control, that is the binding of a molecule at one site alters the affinity of the enzyme for its substrate and hence regulates the enzyme activity.
		) and n is the Hill coefficient indicating the degree of cooperativity.
	www.biology.arizona.edu /BioMath/tutorials/Rational/Applications/Hill.html (450 words)

	APStracts 9:0115J, 2002. (Site not responding. Last check: 2007-09-05)
		IGABA was chloride (Cl-) since the reversal potential given by the current-voltage (I/V) curve varied according to the value predicted by the Nernst equation for Cl- dependence.
		The semi-logarithmic curve for CdCl2- resistant IGABA gave a Hill coefficient of 2.4.
		The Hill plot yielded a Hill coefficient of 2.3 and the I/V curve was always linear in the negative potential range with a slope conductance of 32.4 ?
	www.uth.tmc.edu /apstracts/2002/jn/May/115j.html (472 words)

	The MAPK-cascade as a switch
		To quantify how good a switch is realized, we used the Hill coefficient, which was originally introduced to describe cooperativity in enzyme kinetics.
		2 are not true Hill functions we estimate the Hill coefficient from the
		The Hill coefficients of the first step (MAPKKK) are 1 for both models.
	itb.biologie.hu-berlin.de /~nils/Bluethgen01/paper/node3.html (465 words)

	Sensitivity Analysis of a Physiological Model for 2,3,7,8-Tetrachlorodibenzo-p-dioxin (TCDD): Assessing the Impact of ...
		Dose-response plots for the liver fraction using the default model and after doubling the Hill coefficient.
		Sensitivity coefficients at the maximum for the liver fraction using the default model and after setting KB2 = 1, KB2 = 40, KB1 = 0.4 and Kd = 0.5.
		Sensitivity coefficients at the maximum for the liver-to-fat ratio using the default model, and after setting KB2 = 1, KB2 = 40, KB1 = 0.4 and Kd = 0.5.
	toxsci.oxfordjournals.org /cgi/content/full/54/1/71 (4767 words)

	NH: Hill Coefficient
		In certain ranges of ligand concentrations, the Hill function can be a good approximation to the real saturation curve.
		These are the ranges of linearity of the experimental curve plotted in Hill co-ordinates [log L, log(Y / (1 - Y)].
		, determined by the slope of the binding saturation curve in Hill copordinates, can be used as a quantitative measure of the degree of cooperativity.
	ergo.integratedgenomics.com /EMP/describe_tag.cgi?id=NH (112 words)

	Mathews/van Holde/Ahern 3rd Edition (Site not responding. Last check: 2007-09-05)
		The Hill plot for noncooperative binding will, according to equation (7.9), be a straight line with slope = 1.
		- Hill plots readily identify the transition between binding states in cooperativity, and the binding behavior is unmistakably different for cooperative and noncooperative systems.
		The Hill coefficient must be greater than unity in order for the Hill plot to switch over from the weak-binding line to the strong-binding line.
	oregonstate.edu /instruction/bb451/winter2004/common451/ch07/c07hp.htm (517 words)

	Activation and Two Modes of Blockade by Strontium of Ca2+-activated K+ Channels in Goldfish Saccular Hair Cells -- ...
		The Hill coefficient for Ca was larger than that for Sr at the same voltage (2.7 and 1.6 for Ca and Sr
		This is related to the finding that the Hill coefficient for Sr is smaller than that for Ca (Fig.
		Hill coefficients) were ~0.7 for all voltages (0.62-0.75, Fig.
	www.jgp.org /cgi/content/full/111/2/363 (7621 words)

	Another View of T Cell Antigen Recognition: Cooperative Engagement of Glycolipid Antigens by Va14Ja18 Natural TCR -- ...
		Hill coefficient was determined from epitope titration experiments.
		From the binding curve, Hill plots and Hill coefficients (h), represented beneath the Ag-binding curves, were derived (see Materials and Methods).
		The high regression coefficient (>0.90) for all Hill plots indicates that the calculated h values are significant.
	www.jimmunol.org /cgi/content/full/171/9/4539 (6673 words)

	Dose-Response Modeling of Cytochrome P450 Induction in Rats by Octamethylcyclotetrasiloxane -- Sarangapani et al. 67 ...
		Dominance of the partition coefficient in determining blood concentrations during inhalation exposure limits experimental variability, resulting in small SEs for the observed data.
		The parameters of a hill model applied to liver weight/body weight ratio (LWBWR) changes were explored to determine the similarities or differences of this organ level effect with enzyme induction.
		to estimate Kd and Hill coefficients for PB induction.
	toxsci.oxfordjournals.org /cgi/content/full/67/2/159 (8066 words)

	BioMed Central \| Full text \| Effect of thymol on kinetic properties of Ca and K currents in rat skeletal muscle
		First, the Hill coefficient estimated for the thymol-induced block of K currents was close to unity (1.51), indicating the involvement of a single, independent binding site.
		It should be noted, however, that due to the hydrophobic character of the molecule thymol may accumulate in the membrane and could also modify the local lipid environment of the channel protein.
		These additional unspecific lipid-interactions may account for the fractional values of the Hill coefficients, but not for the differences observed in the thymol-induced block of Ca and K currents.
	www.biomedcentral.com /1471-2210/3/9 (3014 words)

	CiteULike: Dual effect of adenosine triphosphate on the apical small conductance K+ channel of the rat cortical ... (Site not responding. Last check: 2007-09-05)
		The half-maximal inhibition (Ki) of ATP and ADP was 0.5 and 0.6 mM, respectively, and the Hill coefficient of both ATP and ADP was close to 3.
		Reduction of the bath pH from 7.4 to 7.2 reduced the Ki of ATP to 0.3 mM.
		In contrast, a decrease of the free Mg2+ concentration from 1.6 mM to 20 microM increased the Ki of ATP to 1.6 mM without changing the Hill coefficient; ADP was still able to relieve the ATP-induced inhibition of channel activity over this low range of free Mg2+ concentrations.
	www.citeulike.org /user/dimka/article/1115660 (673 words)

	Issues in the Design and Interpretation of Minimum Alveolar Anesthetic Concentration (MAC) Studies -- Sonner 95 (3): ...
		Hill coefficients calculated by fitting the sigmoid Emax or logistic equations to minimum alveolar anesthetic concentration (MAC) data are larger (give steeper slopes at the 50% effective dose [ED ]) than the underlying normally distributed data.
		Hill coefficients were calculated from the latter by nonlinear regression to the sigmoid Emax equation or by logistic regression to the logistic equation and compared with the true Hill coefficient based on the slope of the underlying normal distribution of MAC values at its ED using Equation (1) in the text.
		the coefficients in the logistic equation are related to the
	www.anesthesia-analgesia.org /cgi/content/full/95/3/609 (3506 words)

	High and low oxygen affinity conformations of T state hemoglobin -- Bruno et al. 10 (11): 2401 -- Protein Science
		Hill coefficients of hemoglobin gels were 0.94 ± 0.02
		Hill plots of oxygen binding by hemoglobin silica gels prepared either in the absence (circles) or presence (squares) of allosteric effectors.
		The fraction of the two forms and the Hill n are obtained from the fitting of the oxygen binding curves at pH 7.0, as reported above.
	www.proteinscience.org /cgi/content/full/10/11/2401 (4325 words)

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