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PubMed1999

[Clinical reference values for laboratory hematology tests calculated using the iterative truncation method with correction: Part 2, Reference values for white blood cell (WBC) count, WBC differential including segmented neutrophil, band neutrophil, lymphocyte, monocyte, eosinophil, basophil, platelet count and mean platelet volume].

Age and sex dependent differences in the clinical reference values for white blood cell(WBC) count, WBC differential including segmented neutrophils(SEG), band neutrophils(BAND), lymphocytes (LYMPH), monocytes(MONO), eosinophils(EOSINO), basophils(BASO), platelet count(PLT) and mean platelet volume(MPV) were calculated by the iterative truncation method with correction(Usui's method) using the result from tests on 6,300 patient specimens obtained at Kyoto University Hospital. WBC counts exhibited log-normal distribution in all age either in male and female. PLT counts and MPV showed normal or log-normal distribution. WBC differential (SEG, BAND, LYMPH, MONO, EOSINO, BASO) usually showed log-normal distribution. As to the reference value for WBC, high limit values gradually decreased in the age range of 5-14 year old in males and females. After 15 year old, it gradually increased and reached adult's level. Low limit values for WBC gradually decreased with age both in males and females. The reference value for SEG showed similar change to WBC. The reference value for LYMPH gradually decreased age both in males and females. The reference values for BAND, MONO, EOSINO, BASO were generated by the percentile method instead of the iterative truncation method because of the strong deviation in the distribution pattern. BAND, MONO and BASO values were very stable for all ages in males and females. High limit values for EOSINO in the age range of 5-10 year old in males and females remained constant, and gradually decreased in 10-20 year old, and were stable at ages above 20 year old. PLT counts gradually decreased with age, and the MPV remained constant in all age populations both in male and female.

Adolescent↗

PubMed2005

Statistical criteria to establish bioassay programs.

A statistical study of fitting log-normal distributions to air sampling concentrations and random intakes is reported in this paper. An improved method on the approximation of a sum of log-normal distributions to a log-normal distribution is used to forecast bioassay results and their uncertainties. These methods can be used in the design and implementation of air control monitoring and bioassay programs for introducing statistical criteria to determine when a bioassay is required as well as the frequency.

Air Pollutants, Radioactive↗

PubMed1996

Haemoglobin and ferritin concentrations in infants at 8 months of age.

AIM: To identify the optimum age to screen for iron deficiency, the normal distribution of haemoglobin and ferritin in a representative population sample was investigated. METHODS: Normal values for haemoglobin and ferritin were measured from heel prick capillary samples obtained from a representative cohort of 1175 infants at 8 months old who were randomly selected from children taking part in the Avon Longitudinal Study of Pregnancy and Childhood (ALSPAC). RESULTS: Haemoglobin was normally distributed: mean (SD) 117 (11) milligrams, 95% confidence interval (CI) 116 to 118, and range 72-153 milligrams. Ferritin was log normally distributed: geometric mean 38.5 micrograms/l, 95% CI 37.0 to 39.9, range 7.1-224 micrograms/l. The 5th centile for haemoglobin was 97 milligrams and for ferritin 16.9 micrograms/l. No correlation was found between haemoglobin and ferritin. Multiple regression analysis showed ferritin concentrations to be positively related to birth weight (p < 0.0001) and the sex of the child (girls with higher concentrations) (p < 0.0001) but negatively with the child's weight at 8 months (p < 0.0001). Haemoglobin concentrations were positively related to the child's weight at 8 months (p = 0.04). Neither haemoglobin nor ferritin concentrations were related to social class as measured by maternal education level. CONCLUSION: These data define the normal range for haemoglobin and ferritin in capillary samples in the UK population, and suggest that anaemia is common in infancy. Using current recommendations, 23% of infants would be identified as anaemic. For British infants at 8 months of age, a more representative 'cut off' for anaemia would be haemoglobin concentration < 97 milligrams and for iron deficiency ferritin < 16 micrograms/l.

Age Factors↗

PubMed1995

Analysis of tomato root initiation using a normal mixture distribution.

We attempt to identify the number of underlying physical phenomena behind tomato lateral root initiation by using a normal mixture distribution coupled with the Box-Cox power transformation. An initial analysis of the data suggested the possibility of two (possibly more) subpopulations, but upon taking reciprocals, the data appear to be very nearly Gaussian. A simulation study explores the possibility of erroneously detecting a second subpopulation by fitting data which are improperly scaled. A power calculation suggests that only unrealistically large sample sizes can detect the unbalanced mixtures one might expect with data of this type.

Biometry↗

PubMed2005

The Youden Index and the optimal cut-point corrected for measurement error.

Random measurement error can attenuate a biomarker's ability to discriminate between diseased and non-diseased populations. A global measure of biomarker effectiveness is the Youden index, the maximum difference between sensitivity, the probability of correctly classifying diseased individuals, and 1-specificity, the probability of incorrectly classifying health individuals. We present an approach for estimating the Youden index and associated optimal cut-point for a normally distributed biomarker that corrects for normally distributed random measurement error. We also provide confidence intervals for these corrected estimates using the delta method and coverage probability through simulation over a variety of situations. Applying these techniques to the biomarker thiobarbituric acid reaction substance (TBARS), a measure of sub-products of lipid peroxidation that has been proposed as a discriminating measurement for cardiovascular disease, yields a 50% increase in diagnostic effectiveness at the optimal cut-point. This result may lead to biomarkers that were once naively considered ineffective becoming useful diagnostic devices.

Biomarkers↗

PubMed1990

Fibronectin distribution in normal and malignant urothelium.

Fibronectin is a glycoprotein that mediates the attachment of BCG to the murine bladder. To assess the potential role of fibronectin on bladder cancer cells as a specific substrate for BCG binding in man, a semi-quantitative method was employed to evaluate the presence of fibronectin on normal urothelium and bladder cancer. Monoclonal anti-fibronectin binding to normal and malignant urothelial tissues was evaluated by an immunoperoxidase assay. Human tumor cell lines were evaluated with mixed hemadsorption and immunoperoxidase assays. In both systems, immunoreactive fibronectin had low expression on unfixed normal and malignant urothelium. With fixation, immunoreactive fibronectin decreased on supporting stroma and increased in normal and malignant urothelium. Fibronectin distribution did not show tumor specificity either with fixed or unfixed specimens.

BCG Vaccine↗

PubMed1991

Development of pragmatic exposure-control concentrations based on packaging regulation risk phrases.

This paper relates United Kingdom and other national Occupational Exposure Limits (OELs) for volatile organic substances to the Risk Phrases (RPs) which they are assigned under EEC Classification, Packaging and Labelling Directives. The OELs for organic volatiles assigned RP 20 ('harmful by inhalation'), RP 23 ('toxic by inhalation') and RP 26 ('very toxic by inhalation') fitted better to the cumulative log-normal distribution than to the cumulative normal distribution and the means for RPs 23 and 26 were not significantly different. The means for RP 20 and RP 23/26 were 100 mg m-3 (or 25 ppm) and 5 mg m-3 (or 1 ppm), respectively. In the absence of any relevant, specific information, it is suggested that these values may be useful as guidelines for pragmatic exposure-control concentrations (PECCs) for the control of exposure by inhalation in workplaces handling substances labelled with these RPs.

Environmental Exposure↗

PubMed1988

Doppler ultrasound waveform indices: A/B ratio, pulsatility index and Pourcelot ratio.

Three different indices, the A/B ratio, the pulsatility index (PI) and the Pourcelot ratio (PR), are in common use for quantitative analysis of umbilical artery Doppler ultrasound waveforms. A detailed examination of the similarities and differences between these indices, together with the expected errors for each, was undertaken to enable informed comparisons and choices to be made. The indices were calculated from 133 last trimester recordings using an objective and very reliable computer analysis technique. The PI is more difficult to calculate than the other two quantities and the extra computation does not provide any extra information. The A/B ratio appears the simplest index to use but the values are not normally distributed. With the PR a normal distribution of values can be assumed. A theoretical consideration of errors showed that none of the indices is intrinsically less error prone for last trimester waveforms overall. The errors in the A/B ratio increase as the value of the index increase, whereas the converse holds for the PI and PR.

Blood Flow Velocity↗

PubMed1978

Comparison of kinetic and end-point diffusion methods for quantitating human serum immunoglobulins.

Proficiency testing results were used to compare the kinetic and end-point versions of the single radial immunodiffusion method for quantitating human serum immunoglobulins. Statistical analysis of the results indicated that the results were not normally distributed but that the log normal distribution gives the best fit of any of the well-known frequency distributions. Consequently, statistical analysis of immunoglobulin results must be log transformed before parametric statistical tests can be appropriately applied. In general, there were no significant differences in level, precision, or interlaboratory comparability for these two methods. However, levels were different for participants using Hyland reagents, and better interlaboratory comparability was achieved by the end-point assay for immunoglobulin M. There were no significant differences in reported levels when compared by manufacturer within the same method.

Humans↗

PubMed1996

Measurement of beta 2-microglobulin in bovine serum and urine by radioimmunoassay.

A radioimmunoassay (RIA) system for quantification of bovine beta 2-microglobulin (beta 2-M) in serum and urine was developed. The protein isolated from bovine colostrum showed a single band in SDS-PAGE, and its molecular weight was approximately 11,600. Amino acid sequences for the first 24 residues and the amino acid composition of the protein were in agreement with those in the bovine beta 2-M of previous research works. In an Ouchterlony test, a single precipitation line was formed between the protein and the antiserum made by the protein. From these results, it was confirmed that the protein isolated from the colostrum was pure bovine beta 2-M. For creation of an RIA calibration curve for urine, a urine void of beta 2-M, as much as possible (beta 2-M-free urine), and a PBS were used as diluents. Intraassay (n = 10) and interassay (n = 3) variances were 1.7-4.6% and 7.1-11.5% in the PBS dilute method, and were 1.4-5.1% and 12.3-13.5% in the beta 2-M-free urine dilute method, respectively. Mean recoveries were 160 +/- 19% (mean +/- SD) and 98.4 +/- 7.9% in PBS and beta-M-free urine, respectively. It was found that the method using the beta 2-M-free urine as a diluent was more accurate than using PBS. The beta 2-M concentrations in serum and urine of healthy Holstein cows measured by this RIA system showed a logarithmic normal distribution for urine and a normal distribution for serum. The mean beta 2-M concentrations were 0.0305(+0.04443)(-0.0210) mg/l (Geometric mean +/- S.D., n = 43) in urine and 2.87 +/- 0.45 mg/l (Arithmetic mean +/- S.D., n = 26) in sera. Further, we could not observe the particular tendency of daily variation in urinary beta 2-M concentrations of healthy cows (Holstein, n = 3 x 2 days).

Amino Acid Sequence↗

PubMed1996

[Normal values of calcium and oxalate excretion in children].

Aim of the study was to establish normal values for calcium/creatinine (Ca/cr) and oxalate/creatinine (Ox/cr) ratio in infants and children. Urine probes of 416 healthy children (25 infants aged 1-7 days and 391 children aged 1 month-14.5 years) were analysed. Oxalate was measured by ion-chromatography. Urinary Ca2+/cr was normally distributed, Ox/cr had log-normal distribution. Ca/cr was the lowest in the first days of life, the highest between 7 month-1.5 years (mean +/- SD = 0.39 +/- 0.28 mmol/mmol), a slight decrease could be observed until 14 years (0.34 +/- 0.18). The highest Ox/cr values were measured during the first month of life (geometric mean/range/ = 133 /61-280 mmol/mmol/), followed by gradual decrease until 14 years (25/6-73/). The measurement of Ca2+/cr and Ox/cr in first morning urine samples is suitable for screening of hypercalciuria and hyperoxaluria. The interpretation of the values requires age specific reference values. Both calcium and oxalate determinations should be the part of the evaluation of patients with hematuria, hypercalciuria or nephrolithiasis.

Adolescent↗

PubMed1982

The multivariate reference range: an alternative interpretation of multi-test profiles.

To test the utility of multivariate interpretation of laboratory data, we developed a multivariate reference range based of the Mahalonobis distance (D2) measure. Results for 20 commonly measured clinical chemistry analytes were collated for two sophomore medical-school classes (118 and 143 individuals in 1979 and 1980, respectively). The data for each test were examined for fit to a gaussian (normal) distribution by using a Kolmogorov--Smirnov test. Those results discovered to have a non-normal distribution were "normalized" by used the of a two-stage log-exponential transform. After this transformation, the D2 distance for each student group followed the expected chi-square distribution with 20 degrees of freedom. For each student's D2 distance an associated chi-square percentile was derived, and a cutoff percentile (95%) was selected to differentiate multivariately the "normal" from "abnormal" test results. Whereas more than two-thirds of the students had univariate test abnormalities, fewer than 7% had abnormal multivariate D2 scores. Analysis showed that the multivariate reference range could sensitively detect minor variations of multiple analytes but could also be quite insensitive to highly abnormal results for a single analtye. The multivariate approach has promise as a tool to avoid unnecessary followup of falsely abnormal test results, but further study and validation in a clinical setting are required.

Adult↗

PubMed1997

Neuronal and macrophagic nitric oxide synthase isoforms distribution in normal rat retina.

A detailed study about the distribution of nitric oxide synthase (NOS) isoforms, neuronal NOS (nNOS) and macrophagic NOS (mNOS), in normal rat retina was performed using immunocytochemistry by employing specific antibodies. The nNOS immunocytochemistry showed immunoreactive amacrine cells, fibres in inner and outer plexiform layers (IPL and OPL) and an immunostained band corresponding to inner photoreceptor segments (IPS). This was in agreement with NADPH-d histochemical results. mNOS immunoreactivity was found in cell somas localized in both, inner nuclear layer (INL) and ganglion cell layer (GCL), in slender Müller cell processes along IPL and GCL and also in the band corresponding to IPS. A different distribution of nNOS and mNOS was found in rat retina although both isoforms of NOS are co-localized in IPS.

Animals↗

PubMed1998

Detection and utilization of single genes without DNA assays.

Quantitative traits are often assumed to be controlled by a large number of loci that each have a small effect. Under this assumption, the distribution of genotypic and phenotypic values can be adequately modeled by a multivariate normal distribution. Thus, most genetic analyses are based on mixed linear models. Evidence is accumulating, however, for the presence of loci that have large effects on traits of economic importance. If the genotypes for such loci can be observed without error, then--conditional on these observed genotypes--genotypic and phenotypic values follow a multivariate normal distribution, and data from very large pedigrees can be analyzed using a mixed linear model that includes the genotypic effects for these loci as fixed effects. However, when the major genotype is not observed, the genotypic and phenotypic values follow a mixture of multivariate normal distributions, and analyses based on fitting a mixed linear model may not be optimum, especially for populations undergoing selection and nonrandom mating. Several approaches are discussed for the genetic analysis of data when the major genotypes are not known.

Algorithms↗

PubMed1994

Graded changes in the response of individual human basophils to stimulation: distributional behavior of early activation events.

These studies examine the distribution of single-cell responses in basophil preparations in the context of four events that may be associated with early activation by anti-immunoglobulin E (IgE) antibody and the bacterial peptide fMet-Leu-Phe (fMLP). In general, we measured the single-cell response distributions after challenge with a concentration of stimulus that resulted in an optimal response and compared this with the distribution that occurred after challenge with suboptimal concentrations of the same stimulus. The elevation in cytosolic calcium, as detected in Fura-2-labeled basophils, after challenge with anti-IgE or fMLP showed graded characteristics in that the distributions were unimodal under conditions of optimal or suboptimal challenge with little skewing from a normal distribution. Similarly, the up-regulation of the cell surface adhesion molecule CD11b, as determined by flow cytometry, showed graded unimodal increases after challenge with anti-IgE antibody at optimal and suboptimal concentrations. In addition, stimulation of basophils led to increased F-actin polymerization. After challenge with an optimal concentration of anti-IgE antibody, the F-actin content of basophils increased to a maximum between 10 and 15 min and returned to near prechallenge levels by 60 min. There was a close correlation between the maximum increase in F-actin content and histamine release regardless of the stimulus; anti-IgE antibody, fMLP, and phorbol ester (PMA) responses lay on the same regression line. The single-cell F-actin polymerization distributions were also unimodal and graded according to the magnitude of the histamine release response. During measurements of the calcium response under the microscope we noted that basophils underwent significant changes in morphology after challenge with any stimulus. These changes were related to both degranulation and nondegranulation events and could be quantitated by a series of image-processing algorithms, which are presented. The kinetics of the morphological change, measured as a change in cell perimeter, paralleled degranulation. Single-cell distributions of the morphologic changes were also unimodal under conditions of both optimal and suboptimal stimulation. Therefore, no evidence of all-or-nothing responses could be observed in the context of these four early activation events. In general, the response distributions resembled normal distributions at both optimal and suboptimal levels of stimulation, which indicated that single basophils responded in a graded manner.

Basophils↗

PubMed2006

Individual differences in chromosomal aberrations after in vitro irradiation of cells from healthy individuals, cancer and cancer susceptibility syndrome patients.

BACKGROUND: Radiosensitivity of normal tissue is a crucial factor of radiotherapy (RT)-related side effects. Here, we report the analysis of spontaneous and in vitro irradiation-induced chromosomal aberrations in 256,679 metaphases from 222 different individuals using three-color fluorescence in situ hybridization as a measure of radiosensitivity. MATERIALS AND METHODS: Samples were categorized into the following 6 groups: (1) healthy individuals, (2) cancer patients prior to radiotherapy, (3) RT-treated cancer patients, (4) individuals heterozygous or (5) homozygous for a mutation in the ataxia telangiectasia mutated (ATM) gene or in the Nijmegen breakage syndrome (NBS1) gene and (6) hypersensitive patients (outliers). RESULTS: A normal distribution of the number of chromosomal aberrations, measured as breaks per metaphase (B/m), was adopted for all examined groups. The mean value of the control group was 0.40B/m (SD+/-0.07). This value was lower compared to the mean breakage rate from 175 non-exposed (0.50+/-0.12B/m) and pre-exposed (0.50+/-0.16B/m) cancer patients. Nineteen of the metaphase spreads from the analyzed cancer patients had a high number of chromosomal aberrations (1.04+/-0.29B/m) and were designated as a separate hypersensitive subgroup (outliers). The aberration frequency of this group was comparable to those of ATM or NBS1 heterozygotes (0.86+/-0.26B/m). The highest incidence of aberrations was observed in ATM and NBS1 homozygous patients (2.23+/-1.03B/m). CONCLUSION: The frequency of break events in the analyzed groups resulted in a normal distribution with varying means and broadnesses defining a characteristic sensitivity pattern for each group. In the RT-relevant group of cancer patients, those patients who have cancer, about one-third of the normally distributed samples were determined to be sensitive as defined by the number of induced aberrations higher than the 99% confidence interval of the normal individual's Gaussian distribution. About 5% of these samples were outside of the 99% confidence interval for the RT-relevant group's normal distribution. These outliers with higher chromosomal breakage rates suggest a unique class of hypersensitive individuals that are susceptible to chromosomal damage and may be directly associated with an increased risk to suffer from radiotherapy-related complications.

Ataxia Telangiectasia Mutated Proteins↗

PubMed2005

Dose-incidence modeling: consequences of linking quantal measures of response to depletion of critical tissue targets.

In developing mechanistic PK-PD models, incidence of toxic responses in a population has to be described in relation to measures of biologically effective dose (BED). We have developed a simple dose-incidence model that links incidence with BED for compounds that cause toxicity by depleting critical cellular target molecules. The BED in this model was the proportion of target molecule adducted by the dose of toxic compound. Our modeling approach first estimated the proportion depleted for each dose and then calculated the tolerance distribution for toxicity in relation to either administered dose or log of administered dose. We first examined cases where the mean of the tolerance distribution for toxicity occurred when a significant proportion of target had been adducted (i.e., more than half). When a normal distribution was assumed to exist for the relationship of incidence and BED, the tolerance distribution based on administered dose for these cases becomes asymmetrical and logarithmic transformations of the administered dose axis lead to a more symmetrical distribution. These linked PK-PD models for tissue reactivity, consistent with conclusions from other work for receptor binding models (Lutz et al., 2005), indicate that log normal distributions with administered dose may arise from normal distributions for BED and nonlinear kinetics between BED and administered dose. These conclusions are important for developing biologically based dose response (BBDR) models that link incidences of toxicity or other biological responses to measures of BED.

Animals↗

PubMed1995

A nonparametric approach for mapping quantitative trait loci.

Genetic mapping of quantitative trait loci (QTLs) is performed typically by using a parametric approach, based on the assumption that the phenotype follows a normal distribution. Many traits of interest, however, are not normally distributed. In this paper, we present a nonparametric approach to QTL mapping applicable to any phenotypic distribution. The method is based on a statistic ZW, which generalizes the nonparametric Wilcoxon rank-sum test to the situation of whole-genome search by interval mapping. We determine the appropriate significance level for the statistic ZW, by showing that its asymptotic null distribution follows an Ornstein-Uhlenbeck process. These results provide a robust, distribution-free method for mapping QTLs.

Animals↗