(a.) Pertaining to exponents; involving variable exponents; as, an exponential expression; exponential calculus; an exponential function.
Example Sentences:
(1) During the development of Shvets' leukosis, the weight of spleen and lymph glands and their lymphocyte content change enormously while the number of plasmocytes rises exponentially.
(2) When cultures were pulse labeled for 15 min and then incubated under chase conditions for 105 min, the amount of degraded collagen attained a value equal to approximately 20% of the amount synthesized during the labeling period; the data were fit with a simple exponential function that had a 40-min rise time and a 12-min lag time.
(3) The final model has a probability 0.08 of underlying survival time being zero and, given non-zero survival time, takes the form of an exponential distribution with mean of 14.95 months.
(4) Initial exposure of cells to low concentrations of either H2O2 or xanthine oxidase resulted in a transient increase in membrane potential relative to control cells (P less than 0.001), followed by an exponential decline in potential (P less than 0.001).
(5) In WI-38, a normal human fibroblast, the rates of degradation of short lived and long lived proteins are identical whether the cultures are growing exponentially or are density-inhibited.
(6) The cells were taken from cultures in low-density balanced exponential growth, and the experiments were performed quickly so that the bacteria were in a uniform physiological state at the time of measurement.
(7) The mutant ribosomes prepared from the transition-phase cells have much lower activity (below 60%) for poly(U)-directed polyphenylalanine synthesis than those in exponentially growing or resting stationary-phase cells.
(8) Some numerical evaluations are presented for the normal and exponential distributions of gene effects, illustrating the effects of the number of alleles and of the variation in allelic frequencies.
(9) The age distribution for Caulobacter cells in an exponential population has been calculated (Appendix by Robert Tax) and used to analyze some of the results.
(10) It is the way these packages are constructed by a small cabal of longstanding advisers, drawing on the mechanics of game theory, that has driven the exponential increases in value over the past two decades.
(11) Stepwise depolarizations from the holding potential (-67 to -83 mV) to a potential which varied from -10 to +63 mV resulted in an exponential decline of h from its initial level to a final, non-zero level.
(12) Using this method, proteins involved in rDNA transcription were purified from exponentially growing lymphosarcoma P1798 cells as well as cells treated with 0.1 microM dexamethasone.
(13) An attempt has been made to construct an assay potentially suitable for use with primary cultures of human tumours to measure the survival of exponentially growing monolayer cultures after exposure to anti-neoplastic drugs.
(14) Plasma levels of prolactin in DES-treated F344 rats increased exponentially through the 8 weeks, and the Nb2BA measurements were significantly greater than levels determined by RIA throughout the treatment period.
(15) It depended on the quantal content and 3-exponential EPC could be transformed in 2-exponential and later to monoexponential ones if increasing concentration of magnesium ions.
(16) Both of end-diastolic (EDV) and stroke volume (SV) were excellently expressed as a function of body surface area (BSA) with exponential relationship: LVEDV = 104.3 (BSA)1.61 ml (r = 0.93, p less than 0.001), RVEDV = 109.7 (BSA)1.68 ml (r = 0.90, p less than 0.001), LVSV = 68.1 (BSA)1.60 ml (r = 0.89, p less than 0.001) and RVSV = 66.8 (BSA)1.76 ml (r = 0.86, p less than 0.001).
(17) Three exponential terms were required to fit the data for each of the tracers in all six experiments.
(18) A "peeling" technique was used to estimate the time constants (tau 0 and tau 1) and coefficients (a0 and a1) of the first two exponential terms of the series of exponential terms whose sum represented the slope of the voltage response.
(19) When exponentially growing cells separated into cell cycle-specific fractions via centrifugal elutriation were heat shocked, the fractions enriched in small unbudded cells showed greater resistance to heat killing than did other cell cycle fractions.
(20) In 15 subjects the gall bladder emptied in relation to eating according to a double exponential function.
Hyperbolic
Definition:
(a.) Alt. of Hyperbolical
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.