(n.) A curve formed by a section of a cone, when the cutting plane makes a greater angle with the base than the side of the cone makes. It is a plane curve such that the difference of the distances from any point of it to two fixed points, called foci, is equal to a given distance. See Focus. If the cutting plane be produced so as to cut the opposite cone, another curve will be formed, which is also an hyperbola. Both curves are regarded as branches of the same hyperbola. See Illust. of Conic section, and Focus.
Example Sentences:
(1) After covalent inactivation of a variable proportion of the receptors with I-PTA-PON3, the occupancy-response relationship for platelet aggregation resulted in a similar hyperbola indicating an excess of low-affinity receptors coupled to aggregation (spare receptors).
(2) When phenylalanine was present, a pronounced deviation from the Michaelis-Menten hyperbola occurred.
(3) Flow-insensitive ranges of tcpO2-vs-flow hyperbolas were reduced by both leg lowering and moving the electrode towards proximal measuring sites.
(4) This logistic relationship is more general than the rectangular hyperbola or linear methods, provides excellent goodness of fit, and can be used as a "global" method for the entire calibration curve, rather than as a "local" method for small segments of the curve.
(5) Hill's rectangular hyperbola fitted the force-velocity data if the load during shortening was less than 70% of Fo.
(6) One parameter of the hyperbola is equivalent to the asymptotic response rate and the other parameter is equivalent to the rate of reinforcement that maintains a one-half asymptotic response rate.
(7) Analysis of these inhibition curves as double hyperbolae revealed two binding sites in the presence of DTT and only one low affinity site in the absence of DTT.
(8) The maximum velocity of shortening (Vm), determined by extrapolation from a hyperbola that is fitted to force-velocity data at finite loads, is substantially lower than V0.
(9) In contrast to hog kidney D-amino acid oxidase, the v vs s plots of D-amino acid oxidase in homogenized rat kidney did not have the form of a rectangular hyperbola, and showed an apparent negative cooperativity.
(10) The ligand self-association alone can cause deviation of the profile of the binding curve (r vs Lft plot) from a hyperbola, resulting in a nonlinear Scatchard plot.
(11) Binding was found to be saturable at higher membrane concentrations when using a fixed amount of ligand and showed a hyperbola analogous to enzyme-substrate binding.
(12) Then, we compared G to the conventional slope of the CO2-ventilation response line (S) and that of the metabolic hyperbola (SL).
(13) The difference in estimates of V0 and Vm is a function of: (i) the degree of heterogeneity of the muscle with respect to Vmax(i) and the curvature of the force-velocity relationship of the individual fibres, and (ii) the force range used to establish the hyperbola from which Vm is derived.
(14) The relationship between the slope of the plot and the substrate concentration shows characteristic features depending on the inhibition type: for partial competitive inhibition, the straight line converging on the abscissa at--Ks, the dissociation constant of the enzyme-substrate complex; for non-competitive inhibition, a constant slope independent of the substrate concentration; for uncompetitive inhibition, a hyperbola decreasing with the increase in the substrate concentration; for mixed-type inhibition, a hyperbola increasing with the increase in the substrate concentration.
(15) The data were in reasonable agreement with the theoretical hyperbola.
(16) It was established that there was a relationship between the half-life and the initial titre of antibody of each specificity which could be described by a rectangular hyperbola.
(17) A robust modified hyperbola was found to be superior for determining molecular weights and base-pair numbers for a set of known standards when compared with the conventional log transformation and a similar hyperbolic model.
(18) At low concentrations (42-1260 microM), the relationship between linoleic acid concentration and its absorption rate fitted best to a rectangular hyperbola.
(19) Likewise, the relationship could be described by a hyperbola with a linear relationship between intrapulmonary pressure and the inverse of breath duration.
(20) On the other hand, when mannosylphosphoryldolichol synthase activity was measured in the presence of amphomycin and as a function of dolichylmonophosphate (Dol-P) concentrations, the shape of the substrate velocity curve changed from a rectangular hyperbola to a sigmoid.
Hyperbole
Definition:
(n.) A figure of speech in which the expression is an evident exaggeration of the meaning intended to be conveyed, or by which things are represented as much greater or less, better or worse, than they really are; a statement exaggerated fancifully, through excitement, or for effect.
Example Sentences:
(1) These two types of transfer functions are appropriate to explain the transition to anaerobic metabolism (anaerobic threshold), with a hyperbolic transfer characteristic representing a graded transition; and a sigmoid transfer characteristic representing an abrupt transition.
(2) Yesterday's flight may not quite have been one small step for man, but the hyperbole and the sense of history weighed heavily on those involved.
(3) For a union that, in less than 25 years, has had to cope with the end of the cold war, the expansion from 12 to 28 members, the struggle to create a single currency and, most recently, the eurozone crisis, such a claim risks accusations of hyperbole.
(4) Furthermore, illustrations of the types of transfer characteristics observed in different individuals and different training regimens can be obtained, including both hyperbolic (Michaelis-Menten) and sigmoid transfer characteristics.
(5) Oyster adductor phosphofructokinase displays hyperbolic saturation kinetics with respect to all substrates (fructose 6-phosphate, ATP, and Mg2+) at either pH 7.9 OR PH 6.8.
(6) In it he translated Trump’s coarse ramblings into charming straight talk and came up with the phrase “truthful hyperbole”, which captures brilliantly an approach to business and politics in which everything is the greatest, the most beautiful.
(7) Sitting at the table today, Archie is doing his best to look the part – in time-honoured hip-hop style, there is an inspirational motto tattooed on his forearm in flowing script – and he and Foster have an impressive line in managerial hyperbole: "We believe that whatever record label we work for, we can change that label for the better because we understand what kids want to listen to."
(8) The plot is still hyperbolic in the presence of La3+, which inhibits Ca2+ transport competitively.
(9) -The H-3-testosterone concentration was varied from 0.17-100 times 10-8 M. Plotting the resulting 5-alpha-reduction products as a function of testosterone concentration a hyperbolic pattern of enzyme kinetics ensued.
(10) A similar hyperbolic decrease in stoichiometry was observed with vesicles containing 10 or 20% PS when the calcium concentration was increased from 0.4 to 10 mM.
(11) The antiport activity measured in this way shows a hyperbolic dependence on external Na+ or Li+ concentration when the external pH (pHo) is 7.2 or higher.
(12) It is shown to increase hyperbolically with the time elapsed since the nerve section.
(13) The 48-year-old Dubliner has since played down that outburst as the youthful hyperbole of a pilot at Aer Lingus in the early 1980s.
(14) When [Ca2+]i is increased, Ica is reduced disproportionately, but the effect is not hyperbolic.
(15) A well-defined hyperbolic relationship was found between the two variables indicating that the physiologic level of plasma renin concentration depends on the state of sodium balance.
(16) The dependence of DMF upon oxygen concentration in the mixture was approximated by a hyperbolic function similar to the dependence of the radiomodifying effect of circulatory hypoxia caused by radioprotective agents of the indolylalkylamine series.
(17) The Bayesian solution to the Behrens-Fisher problem of normal distributions with differing variances was an acceptable compromise after the data had been transformed by the inverse hyperbolic sine method applicable to negative binomials.
(18) Several reporter genes with estrogen response elements upstream of the herpes thymidine kinase promoter showed hyperbolic saturation kinetics with increasing ER.
(19) In the presence of histidine a change from hyperbolic to sigmoidal kinetics is observed.
(20) Binding to enterocytes isolated from both normal and chronically hypoxic mice showed a hyperbolic dependence on medium Fe(III) concentration, consistent with a single class of binding sites.