A simple and reliable method for clinical assessment of odor thresholds

We investigated whether presenting of dilutions of phenyl ethyl alcohol at random succession according to the method of constant stimuli can replace the standard procedure of presenting a various number of dilutions in a staircase paradigm. Forty-six men and 44 women, aged 19-76 years, participated in this study. Phenyl ethyl alcohol was diluted in a ratio of 1:2, starting from 4%. Presentation of the odorant followed a three-alternative, temporal forced-choice paradigm with two blanks in addition to the odorant. Twenty dilutions were administered in a randomized order. Odor threshold was obtained by logistic regression of the correct and incorrect identifications of the probe containing the odorant. Thresholds were also calculated on the basis of the first 16 dilution steps only. Results from these procedures were compared with 'gold-standard' threshold assessment employing a three-alternative, temporal forced-choice staircase paradigm with seven reversals using 16 dilutions of phenyl ethyl alcohol. The method of constant stimuli took a shorter and less variable testing time than the staircase technique. The use of 20 dilution steps provided no better results than the use of 16 steps. The method of constant stimuli exhibited a good test-retest reliability (r = 0.7; P < 0.001) comparable to that of the staircase method and provided unbiased results highly correlated (r = 0.8; P < 0.001) with those of the staircase technique with similar inter-test variability. Applying 16 dilutions (1:2 steps) of phenyl ethyl alcohol at random succession in a three-alternative, temporal forced-choice paradigm is thus a simple and reliable procedure for the reproducible assessment of odor thresholds that may be contemplated as an alternative to the 'gold-standard' staircase method of clinical odor threshold assessment.     

Automatic diluter for bacteriological samples.

The described apparatus, carrying 190 tubes, allows automatic and aseptic dilution of liquid or suspended-solid samples. Serial 10-fold dilutions are programmable from 10(-1) to 10(-9) and are carried out in glass tubes with screw caps and split silicone septa. Dilution assays performed with strains of Escherichia coli and Bacillus stearothermophilus permitted efficient conditions for sterilization of the needle to be defined and showed that the automatic dilutions were as accurate and as reproducible as the most rigorous conventional dilutions.     

Automatic diluter for bacteriological samples

The described apparatus, carrying 190 tubes, allows automatic and aseptic dilution of liquid or suspended-solid samples. Serial 10-fold dilutions are programmable from 10(-1) to 10(-9) and are carried out in glass tubes with screw caps and split silicone septa. Dilution assays performed with strains of Escherichia coli and Bacillus stearothermophilus permitted efficient conditions for sterilization of the needle to be defined and showed that the automatic dilutions were as accurate and as reproducible as the most rigorous conventional dilutions.     

Host cell protein quantification by fourier transform mid infrared spectroscopy (FT‐MIR)

Process development in up‐ and downstream processing requires enhanced, non‐time‐consuming, and non‐expensive monitoring techniques to track product purity, for example, the level of endotoxins, viral particles, and host cell proteins (HCPs). Currently, HCP amounts are measured by laborious and expensive HCP‐enzyme‐linked immunosorbent assay (ELISA) assays best suited for measuring HCP amounts in the low concentration regime. The measurement of higher HCP amounts using this method requires dilution steps, adding dilution errors to the measurement. In this work we evaluated the suitability of attenuated total reflection spectroscopy for HCP quantification in process development, using clarified cell culture fluid from monoclonal antibody producing Chinese hamster ovary‐cells after treatment with different polyelectrolytes for semi‐selective clarification. Forty undiluted samples were chosen for multivariate data analysis in the middle infrared range and predicted HCP‐values were in good agreement with results obtained by an ELISA‐assay, suggesting the suitability of this new method for HCP‐quantification. As this method is able to quantify HCP titers ranging from approximately at least 20,000–200,000 ng mL^?1, it is suitable especially for monitoring of process development steps with higher HCP concentrations, omitting dilution errors associated with ELISA assays. Biotechnol. Bioeng. 2013; 110: 252–259. © 2012 Wiley Periodicals, Inc.     

Power analysis of statistical methods for comparing treatment differences from limiting dilution assays

Summary Six different statistical methods for comparing limiting dilution assays were evaluated, using both real data and a power analysis of simulated data. Simulated data consisted of a series of 12 dilutions for two treatment groups with 24 cultures per dilution and 1,000 independent replications of each experiment. Data within each replication were generated by Monte Carlo simulation, based on a probability model of the experiment. Analyses of the simulated data revealed that the type I error rates for the six methods differed substantially, with only likelihood ratio and Taswell's weighted mean methods approximating the nominal 5% significance level. Of the six methods, likelihood ratio and Taswell's minimum Chi-square exhibited the best power (least probability of type II errors). Taswell's weighted mean test yielded acceptable type I and type II error rates, whereas the regression method was judged unacceptable for scientific work.     

Counting viable Azotobacter in vertisols

In counting Azotobacter in vertisols by the soil dilution and spread-plating method, mean colony counts/plate did not decrease in proportion to the dilution factor and consequently derived counts of Azobacter cells/g soil decreased with increasing dilution of the soil suspension. This non-proportionality phenomenon was analysed in several experiments with six soils. Conformity to the Poisson distribution for counts on parallel plates was measured by Fisher's index of dispersion (χ²), which proved too high (P<.05) at lower dilutions, indicating inaccurately low mean colony counts. At highest dilutions, proportional errors increased resulting in less precise estimates of means, because with a Poisson distribution the standard deviation is equal to the square root of the mean, and the multiplication factor for derived counts/g soil is greatest at highest dilutions. By varying both plate surface area and dilution factor, results indicated that the non-proportionality phenomenon is caused by crowding at lower dilutions increasing the probability of colony coincidence on the plates. Graphical analysis of results of several dilution series indicated that derived counts are best based on dilutions giving 10–40 colonies/9 cm diameter plate, which is best achieved from two-fold dilution series.     

A simple endpoint dilution method for evaluating serum used for cell culture

A simple endpoint dilution method for evaluating foetal calf serum quality is described. The test uses a series of doubling dilutions of cells on microtitre trays with the test sera added to replicate dilution series. After five to six days of incubation the cells are stained with crystal violet and the end points read macroscopically. The cell growth-promoting property of serum may be expressed as a reciprocal of the cell dilution resulting in an approximately 50% coverage of cells.     

THE ESTIMATION OF NUMBERS OF BACTERIA BY TENFOLD DILUTION SERIES

Results obtained by dilution series are sometimes so unlikely that doubt is cast on the validity of the method. Criteria for the rejection of results are discussed and a Table is given of acceptable results for tests with five tubes for each of three tenfold dilutions. Methods of estimating the concentration of bacteria for other numbers of tubes or of dilutions are suggested. The inherent lack of precision of the dilution series method is stressed.     

Use of the most probable number technique to quantify soil-borne plant pathogens

Bioassays using serial soil dilutions and most probable number (MPN) estimations have been used by various authors to quantify inoculum of soil-borne plant pathogens. The requirements of a reliable bioassay are discussed; they include a good choice of dilution series and reproducible growing conditions. Sources of computer programs for analysis of the data are listed. The importance of testing the fit to the mathematical model used is illustrated and emphasised. Factors affecting the size and stability of the standard errors and of the inherent bias of the most probable number estimate are discussed. Equations are presented for calculating the expected standard errors, approximate confidence limits and least significant differences for different dilution factors and numbers of replicates. The benefits of using uneven replication are illustrated. Mathematical considerations show that the technique should enable differences of an order of magnitude to be detected and MPNs should be quoted with a maximum of two significant figures. Dilution ratios as large as 10 should be avoided. Statistical and biological difficulties, especially in standardising growing conditions when soil moisture is critical, indicate that results should normally be regarded as relative, rather than absolute, measurements of inoculum.     

Changes in Bacterial Species Composition in Enrichment Cultures with Various Dilutions of Inoculum as Monitored by Denaturing Gradient Gel Electrophoresis

Denaturing gradient gel electrophoresis revealed changes in the bacterial species obtained from enrichment cultures with different inoculum dilutions. This inoculum dilution enrichment approach may facilitate the detection and isolation of a greater number of bacterial species than traditional enrichment techniques.     

Ferrowax microvalves for fully automated serial dilution on centrifugal microfluidic platforms

We herein describe a centrifugal microfluidic system to accomplish a fully automated serial dilution. The liquid flow on the disc was regulated by utilizing ferrowax microvalves systematically integrated into the channels within specially designed metering structures. By opening the differently positioned microvalves through irradiation of IR laser to allow metering, the same amount of diluent was serially eluted to the dilution chamber from the same diluent chamber. After dilution, the diluted samples were automatically delivered to the respective final product chambers by appropriately opening or closing the microvalves in the connecting channels, followed by rotating the disc. Based on this unique design principle, six consecutive two-fold and 10-fold dilutions were successfully achieved, yielding excellent accuracy in a wide dynamic range up to six orders of magnitude. Very importantly, the overall serial dilution process, including the diluent addition, mixing, and product transfer steps, was completed very rapidly within 5 min, due to the minimized procedures enabled by the automated actuation of the ferrowax microvalves at the rationally designed positions. We expect our centrifugal microfluidic system would serve as a powerful elemental tool to realize fully automated diagnostic microsystems involving the serial dilution process.     

Effect of Serum Heat-Inactivation and Dilution on Detection of Anti-WNV Antibodies in Mice by West Nile Virus E-protein Microsphere Immunoassay

Immunopathogenesis studies employing West Nile virus (WNV) mice model are important for the development of antivirals and vaccines against WNV. Since antibodies produced in mice early during WNV infection are essential for clearing virus from the periphery, it is important to detect early and persistent anti-WNV antibodies. ELISA and plaque reduction neutralization tests are traditionally used for detection of anti-WNV antibodies and WNV-neutralizing antibodies, respectively. Although these assays are sensitive and specific, they are expensive and time consuming. Microsphere immunoassays (MIA) are sensitive, specific, allow for high throughput, are cost effective, require less time to perform than other methods, and require low serum volumes. Several assay parameters such as serum heat-inactivation (HI) and dilution can alter WNV MIA sensitivity. We examined the effect of these parameters on WNV E-protein MIA (WNV E-MIA) for the enhanced detection of anti-WNV IgM and IgG antibodies. WNV E-MIA was conducted using serial dilutions of HI and non-HI (NHI) serum collected at various time points from mice inoculated with WNV. HI significantly enhanced detection of IgM and IgG antibodies as compared to NHI serum. WNV IgM and IgG antibodies in HI sera were detected earlier at day 3 and IgM antibodies persisted up to day 24 after infection. HI serum at 1∶20 dilution was found to be optimal for detection of both IgM and IgG antibodies as compared to higher-serum dilutions. Further, addition of exogenous complement to the HI serum decreased the WNV E-MIA sensitivity. These results suggest that serum-HI and optimal dilution enhance WNV E-MIA sensitivity by eliminating the complement interference, thereby detecting low-titer anti-WNV antibodies during early and late phases of infection. This improved MIA can also be readily employed for detection of low-titer antibodies for detection of other infectious agents and host proteins.     

A confidence interval for mutant frequency in assays using microtiter wells

Previous attempts to derive a confidence interval for the estimated mutant fraction in assays using microtiter wells have not considered the variance introduced by the early growth and dilution steps. We derive a confidence interval that includes these sources of variability.     

A dilution immunoassay to measure myosin regulatory light chain phosphorylation

We examined the quantitation of myosin regulatory light chain phosphorylation (MRLCP) by Western blot and found both offset and saturation errors. The desirable characteristics of an MRLCP assay are that the dynamic range be 60- to 100-fold and that the detection threshold be known and preferably very small relative to total MRLC concentration. No technique examined provided all these characteristics. However, accurate measurements can be obtained by including serial dilutions of the sample to provide a fractional calibration scale in terms of the dephosphorylated light chain and by using interpolation of the phosphorylated band signal intensity to provide values for the relative phosphorylation ratio. We found that this method offers several advantages over methods that rely on signal ratios from single samples: The dilution ratio method is less subject to errors from differences in protein load, it offers estimates of the error in the individual measurement, and has some redundancy that increases the likelihood of obtaining a valid measurement despite gel or membrane artifacts.     

Estimation of baculovirus titer based on viable cell size

In this paper, a simple and rapid protocol for determination of baculovirus titers based on increasing viable insect cell size/diameter following virus infection is presented. There are different methods available for determining virus titers such as plaque assays end-point dilution, quantitative real-time polymerase chain reaction and flow cytometry. However, most of these methods are time consuming and labor intensive. The titer estimation method presented here can be completed in approximately 28 h from start to finish. In this method, the Vi-CELL (Beckman Coulter) was used to measure cell diameter change over a range of virus dilutions, following infection. The cell diameter change data were used to compute the virus titer using a statistical method called the method of moments that we have described previously.     

Bayesian analysis of serial dilution assays

In a serial dilution assay, the concentration of a compound is estimated by combining measurements of several different dilutions of an unknown sample. The relation between concentration and measurement is nonlinear and heteroscedastic, and so it is not appropriate to weight these measurements equally. In the standard existing approach for analysis of these data, a large proportion of the measurements are discarded as being above or below detection limits. We present a Bayesian method for jointly estimating the calibration curve and the unknown concentrations using all the data. Compared to the existing method, our estimates have much lower standard errors and give estimates even when all the measurements are outside the "detection limits." We evaluate our method empirically using laboratory data on cockroach allergens measured in house dust samples. Our estimates are much more accurate than those obtained using the usual approach. In addition, we develop a method for determining the "effective weight" attached to each measurement, based on a local linearization of the estimated model. The effective weight can give insight into the information conveyed by each data point and suggests potential improvements in design of serial dilution experiments.     

Poliovirus aggregates and their survival in water.

Inactivation of aggregated poliovirus by bromine is characterized by a continuously decreasing reaction rate. Poliovirus released from infected cells in these experiments by alternate freezing and thawing in water without electrolytes has always been aggregated. The aggregates persist even on 7,000-fold dilution in ion-free water. Virus similarly released into phosphate-buffered saline solution may be well dispersed, but it aggregates when sedimented into a salt-free sucrose gradient or when it is diluted as little as 10-fold in water. Large one-step dilutions of dispersed virus in water remain dispersed. Aggregated virus was not dispersed by one-step dilution (7,000-fold) in distilled or untreated lake water but was dispersed if phosphate-buffered saline or clarified secondary sewage plant effluent was used as diluent. Dispersed virus aggregates at all dilutions in alum-treated, finished water from the city filter plant. This may be the result of complex formation with insoluble material rather than virion-virion aggregation. A simple procedure is described for rendering a very dilute suspension of mixed virion aggregates into a three-part spectrum of sizes.     

Poliovirus aggregates and their survival in water.

Inactivation of aggregated poliovirus by bromine is characterized by a continuously decreasing reaction rate. Poliovirus released from infected cells in these experiments by alternate freezing and thawing in water without electrolytes has always been aggregated. The aggregates persist even on 7,000-fold dilution in ion-free water. Virus similarly released into phosphate-buffered saline solution may be well dispersed, but it aggregates when sedimented into a salt-free sucrose gradient or when it is diluted as little as 10-fold in water. Large one-step dilutions of dispersed virus in water remain dispersed. Aggregated virus was not dispersed by one-step dilution (7,000-fold) in distilled or untreated lake water but was dispersed if phosphate-buffered saline or clarified secondary sewage plant effluent was used as diluent. Dispersed virus aggregates at all dilutions in alum-treated, finished water from the city filter plant. This may be the result of complex formation with insoluble material rather than virion-virion aggregation. A simple procedure is described for rendering a very dilute suspension of mixed virion aggregates into a three-part spectrum of sizes.     

Eliminating bias in the estimation of the geometric mean of HI titres.

The standard test for anti-haemagglutinin antibody titration is the haemagglutination inhibition (HI) test. The HI titre is defined as the dilution factor of the highest dilution that still completely inhibits haemagglutination. If the highest dilution tested (1:2560) still completely inhibits haemagglutination, an HI titre value of 2560 is assigned. Logarithmically transformed HI titres tend to be normally distributed. But because dilutions less than 1:2560 are not tested, the distribution may be truncated and the assumption of normality may not hold. As a consequence, the geometric mean titre (GMT) will be underestimated. Using data from 10 clinical studies, it is shown here that the GMT may be underestimated by 5-13%. An unbiased estimate of the GMT can be obtained by a statistical method that originates from the analysis of survival data: maximum likelihood estimation for censored observations. The maximum likelihood estimate of the GMT of truncated HI titres can be readily obtained using the statistical software package SAS.