(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.
Parameter
Definition:
(n.) A term applied to some characteristic magnitude whose value, invariable as long as one and the same function, curve, surface, etc., is considered, serves to distinguish that function, curve, surface, etc., from others of the same kind or family.
(n.) Specifically (Conic Sections), in the ellipse and hyperbola, a third proportional to any diameter and its conjugate, or in the parabola, to any abscissa and the corresponding ordinate.
(n.) The ratio of the three crystallographic axes which determines the position of any plane; also, the fundamental axial ratio for a given species.
Example Sentences:
(1) We considered the days of the disease and the persistence of symptoms since the admission as peculiar parameters between the two groups.
(2) Other haematological parameters remained normal, with the exception of the absolute number of lymphocytes, which initially fell sharply but soon returned to, and even exceeded, control levels.
(3) However, this predictive value disappeared when five baseline parameters found to predict the outcome (neopterin, beta 2-microglobulin, p24 antigen, anti-p18 antibody and immunoglobulin A) were adjusted.
(4) Only in 17 of the 97 examinees all the examined parameters were found normal, in the rest deviations from the normal echographic picture were revealed.
(5) Findings on plain X-ray of the abdomen, using the usual parameters of psoas and kidney shadows in the Nigerian, indicate that the two communities studied are similar but urinary calculi and urinary tract distortion are significantly more prominent in the community with the higher endemicity of urinary schistosomiasis.
(6) The 40 degrees C heating induced an increase in systolic, diastolic, average and pulse pressure at rectal temperature raised to 40 degrees C. Further growth of the body temperature was accompanied by a decrease in the above parameters.
(7) Despite this alteration in subcellular distribution, the mutant polypeptide retained the ability to induce fibroblast transformation by several parameters, including the ability to display anchorage-independent growth.
(8) Such an approach to investigations into subclinical mastitis is not feasible by means of either single- or double-parameter techniques.
(9) The spatial spread or blur parameter of the blobs was adopted as a scale parameter.
(10) Regression analysis on the 21 clinical or laboratory parameters studied showed that the only variable independently associated with CSF-FN was the total protein concentration in the CSF; this, however, explained only 14% of the observed variation in the CSF-FN concentration and did not show any correlation with CNS involvement.
(11) Pharmacokinetic parameters, such as these clearances, had large intersubject variations.
(12) Characerization of further parameters such as relative susceptibility to tolerance induction and relative degree of specificity was not possible with the use of KLH as the antigen.
(13) The binding parameters indicate that the principal activating effect of UMP is not simply to increase the affinity of the enzyme for glucose.
(14) Utilizing a range of operative Michaelis-Menten parameters that characterize phenytoin elimination via a single capacity-limited pathway, a situation assuming instantaneous absorption (case I) is compared with the situation in which continuous constant-rate absorption occurs (case II).
(15) It is clear from the data reported here that when used in combination with DEF heparin should be administered at low doses and the coagulation parameters carefully followed.
(16) In addition, these parameters may be useful in differentiating the various causes of fetal acidemia.
(17) Although statistical analysis did not show dramatic changes in all these parameters, some individual extreme values were substantially altered.
(18) As novel antibody therapeutics are developed for different malignancies and require evaluation with cells previously uncharacterized as antibody-dependent cell-mediated cytotoxicity (ADCC) targets, efficient description of key parameters of the assay system expedites the preclinical assessment.
(19) This paper provides a description of the cerebellar-vestibular-determined (CV) neurological and electronystagmographic (ENG) parameters characterizing 4,000 patients with learning disabilities.
(20) About half of the total of the 13 selected parameters showed reactions of the intermediary metabolism of the test groups caused by the feeding.