What's the difference between differential and exponential?

Differential


Definition:

  • (a.) Relating to or indicating a difference; creating a difference; discriminating; special; as, differential characteristics; differential duties; a differential rate.
  • (a.) Of or pertaining to a differential, or to differentials.
  • (a.) Relating to differences of motion or leverage; producing effects by such differences; said of mechanism.
  • (n.) An increment, usually an indefinitely small one, which is given to a variable quantity.
  • (n.) A small difference in rates which competing railroad lines, in establishing a common tariff, allow one of their number to make, in order to get a fair share of the business. The lower rate is called a differential rate. Differentials are also sometimes granted to cities.
  • (n.) One of two coils of conducting wire so related to one another or to a magnet or armature common to both, that one coil produces polar action contrary to that of the other.
  • (n.) A form of conductor used for dividing and distributing the current to a series of electric lamps so as to maintain equal action in all.

Example Sentences:

  • (1) AEDs may also have differential effects on nighttime sleep.
  • (2) We used the polymerase chain reaction (PCR) to amplify the breakpoint area of alpha-thalassemia-1 of Southeast Asia type and several parts of the alpha-globin gene cluster to make a differential diagnosis between alpha-thalassemia-1 and Hb Bart's hydrops fetalis.
  • (3) We also show that proliferation of primary amnion cells is not dependent on a high c-fos expression, suggesting that the function of c-fos is more likely to be associated with other cellular functions in the differentiated amnion cell.
  • (4) The subcellular distribution of sialyltransferase and its product of action, sialic acid, was investigated in the undifferentiated cells of the rat intestinal crypts and compared with the pattern observed in the differentiated cells present in the surface epithelium.
  • (5) We have investigated the increase in the spcDNA population upon cycloheximide treatment of individual sequences, which are found to amplify differentially.
  • (6) Periosteal chondroma is an uncommon benign cartilagenous lesion, and its importance lies primarily in its characteristic radiographic and pathologic appearance which should be of assistance in the differential diagnosis of eccentric lesions of bones.
  • (7) The differential diagnosis is more complex in Hawaii due to the presence of granulomatous diseases such as tuberculosis and leprosy.
  • (8) At 48 h after pretreatment, a differential effect on the absorption of sulfanilamide and L-tryptophan was observed in in situ recirculation experiments.
  • (9) The results suggest differential regulation of IL-6 expression between fibroblasts and macrophages.
  • (10) Differentiation between these two types of lesions is of utmost importance since the surgical approach will be different.
  • (11) The following conclusions emerge: (i) when the 3' or the 3' penultimate base of the oligonucleotide mismatched an allele, no amplification product could be detected; (ii) when the mismatches were 3 and 4 bases from the 3' end of the primer, differential amplification was still observed, but only at certain concentrations of magnesium chloride; (iii) the mismatched allele can be detected in the presence of a 40-fold excess of the matched allele; (iv) primers as short as 13 nucleotides were effective; and (v) the specificity of the amplification could be overwhelmed by greatly increasing the concentration of target DNA.
  • (12) Dibutyryl cyclic AMP (dbcAMP) treatment of Neuro 2A neuroblastoma cells induces cell differentiation and neurite outgrowth.
  • (13) This experimental system allows separation of three B lymphocyte developmental stages: early differentiation in vitro, progression to IgM secretion in vivo, and late differentiation dependent upon mature T lymphocytes in vivo.
  • (14) A murine keratinocyte cell line that is resistant to the growth-inhibitory effects of transforming growth factor beta 1 (TGF beta 1) was examined for differential gene expression patterns that may be related to the mechanism of the loss of TGF beta 1 responsiveness.
  • (15) SD is shown to have therapeutic and differential diagnostic significance in varying pathological conditions of cerebral dopaminergic systems.
  • (16) Aside from these characteristic findings of HCC, it was important to reveal the following features for the diagnosis of well differentiated type of small HCC: variable thickening or distortion of trabecular structure in association with nuclear crowding, acinar formation, selective cytoplasmic accumulation of Mallory bodies, nuclear abnormalities consisting of thickening of nucleolus, hepatic cords in close contact with bile ducts or blood vessels, and hepatocytes growing in a fibrous environment.
  • (17) Friend erythroleukemia cells were induced to differentiate by dimethyl sulfoxide (DMSO) and hexamethylene-bis-acetamide (HBMA) in order to investigate whether their lipid characteristics, common to other systems of transformed cells, revert to a normal differentiation pattern.
  • (18) By growing purified human cytotrophoblasts under serum-free conditions and manipulating the culture surface, we were able to disassociate morphologic from biochemical differentiation.
  • (19) Therefore, the measurement of the alpha-antitrypsin content plays the crucial part in differential diagnosis of primary (hereditary determined) and secondary (obstructive) emphysema.
  • (20) Although each of palate and limb is concurrently susceptible to epigenetic regulation, their differential intrinsic genomic capabilities appear to have been uncoupled.

Exponential


Definition:

  • (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.