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Psoralen cross-linking as probe of torsional tension and topological domain size in vivo.

DNA within a cell is organized with unrestrained torsional tension, and each molecule is divided into multiple individual topological domains. Psoralen photobinding can be used as an assay for supercoiling and topological domain size in living cells. Psoralen photobinds to DNA at a rate nearly linearly proportional to superhelical density. Comparison of the rate of photobinding to supercoiled and relaxed DNA in cells provides a measure of superhelical density. For this, in vivo superhelical tension is relaxed by the introduction of nicks by either ionizing radiation or photolysis of bromodeoxyuridine in the DNA. Since nicks are introduced in a random fashion, the distribution of nicks is described by a Poisson distribution. Thus, after nicking, the fraction of topological domains containing no nicks is described by the zero term of the Poisson distribution. From measurement of the number of nicks introduced in the DNA and the fraction of torsional tension remaining, an average topological domain size can be estimated. Using this logic, procedures were designed and described for measuring supercoiling and domain size at specific sites in eukaryotic genomes.

Amanitins↗

Evidence that most human Alu sequences were inserted in a process that ceased about 30 million years ago.

The primate Alu interspersed repeats can be subdivided into classes on the basis of shared nucleotides at a set of diagnostic positions. Each of the classes of Alu sequences is apparently the result of past retrotransposition of transcripts of highly conserved class-specific source genes that differed from each other at the diagnostic positions. The nucleotides at the majority of positions are identical among the source genes and therefore were identical among all of the Alu sequences at the time of their insertion. These CONSBI (conserved before insertion) positions are useful because the changes that have occurred after insertion are recognizable and the divergence resulting from nucleotide substitutions, insertions, and deletions is informative. The divergence of Alu sequences at the CONSBI positions is a measure of the time since a class was inserted. The greatest majority of Alu sequences are in one class (identified as class II), and it is particularly suitable for such examination, since nearly full-length sequences are now known for nearly a thousand members of this class. The average divergence of class II members indicates that the class has an average age of about 40 million years. The distribution in divergence of class II accurately fits a sum of two Poisson distributions. The implication is that class II Alu sequences were derived from two massive past events of insertion of many Alu sequences. In this model the younger subset of class II sequences (corresponding to about 300,000 copies in the genome) has an average divergence of 5% at CONSBI positions. The older set of class II sequences (corresponding to about 150,000 genomic copies) has a 9% average divergence. Based on the drift rate of primate DNA sequences, the events of insertion probably occurred 30-50 million years ago. The goodness of the fit to the Poisson distribution indicates that no significant number of members of class II have been inserted since 30 million years ago.

Animals↗

A pseudo-Poisson noise model for simulation of positron emission tomographic projection data.

Although radioactive decay obeys Poisson statistics, because of the corrections that are applied to the projection data prior to reconstruction, the noise in positron emission tomography (PET) projections does not follow a Poisson distribution. Use of Poisson noise when simulating PET projections in order to test the performance of reconstruction and processing techniques is therefore not appropriate. The magnitude of PET projection noise was observed to be as much as 10 to 100 times greater than Poisson noise in some instances. A quadratic function was found to fit the relationship between noise power spectral density and total projection count. The coefficients of the quadratic function were determined for projections of different tracer distributions and types. Using these observations, a method of simulating PET projections was developed based on a pseudo-Poisson noise model. Projections simulated according to this method are good approximations to real projection data and take into account the characteristics of individual PET cameras and particular tracer distributions. Such simulated projections have been valuable in predicting the performance of reconstruction algorithms. This approach can also be applied to single photon emission tomography.

Computer Simulation↗

[Clustering of suicides under age 20--seasonal trends and the influence of newspaper reports].

The existence of temporal clustering of suicides was analyzed by comparing the distribution of weekly numbers of suicides under age 20 in Japan (1982-1987) with a Poisson distribution. The linkage between newspaper reports about teenage suicides and these clusters of suicides was examined in an ecologic study. The following results were obtained: 1) The distribution of weekly numbers of suicides under age 20 was not consistent with a Poisson distribution. The observed numbers for weeks with clustering was higher than the expected numbers. Therefore it is suspected that teenage suicides was not an independent occurrence but clustered in specific weeks with clustering observed in April and between the 15th and 25th weeks in 1986. 2) The age and sex characteristics of those who committed suicide during the observed clusters every April did not differ from that of suicide victims for the rest of the year. The incidence ratio for suicide between 15th and 25th weeks in 1986 compared to the same period for other years was higher in girls than in boys, and higher in younger teenagers than older teenagers. Analysis by prefecture of suicides which occurred between the 15th and 25th weeks in 1986 showed high incidences for Hokkaido, Tohoku, Chugoku, and Shikoku blocks, and low incidences for the Kanto and Kinki blocks. 3) Twenty news articles reporting teenage suicides with headings much larger than four columns appeared in the Asahi Newspaper in 1982-87. Significant linkage between newspaper reports about teenage suicides and trend of weekly numbers of suicides in 1985 and 1986 was not observed. 4) Weekly numbers of suicides significantly increased following newspaper reports on January 23rd 1985 and on April 8th 1986, describing a suicide caused by battering, and a jumping suicide of a young singer who was popular among teenagers, respectively. However no increase in the number of suicides was observed following other newspaper reports.

Adolescent↗

Variability in expression of common fragile sites: in search of a new criterion.

Fragile sites are nonrandom, heritable sites on chromosomes that can be induced to form gaps, breaks, and rearrangements under specific conditions. There is currently no established criterion to define a common fragile site. We applied seven published criteria to our data from three groups of subjects: (1) three pairs of like-sexed twins, (2) four unaffected von Hippel-Lindau (VHL) family members, and (3) six patients affected with VHL disease. Substantial differences were present in the numbers of sites considered positive by these criteria. While some of this variability can be attributed to technical factors, our data illustrate the problems in comparing results from different studies to assess the significance of fragile sites. A recently published criterion is based upon the Poisson distribution. We found this criterion to be flawed in its presentation, and furthermore, the Poisson distribution did not provide an adequate approximation to our data. We propose here an alternative approach based upon the negative binomial distribution.

Binomial Distribution↗

The origin of His+ revertants of Salmonella typhimurium obtained on selective medium.

The spontaneous reversion to His+ of the Salmonella typhimurium alleles hisD3052 and hisG46 was investigated. In fluctuation tests, the expected "jackpot" distribution of His+ revertants was not observed. The experimental distributions were close to Poisson distribution. The redistribution test showed no significant differences in the His+ colony counts between spread and unspread plates. An attempt at indirect selection of His+ revertants in fluid medium failed. It was also shown that the mean number of His+ reversion events and the mean number of revertants per plate were similar. At the same time, kanamycin-resistant mutants had jackpot distribution. Selection for His+ revertants (histidine starvation) did not increase mutation to Kanr.

Alleles↗

[An evaluation of the statistical significance and calculation of the confidence interval for the standardized mortality ratio].

The standardized mortality ratio (SMR) is the ratio of the number of deaths observed (D) to the number expected (E), on the basis of the mortality rates of some reference population. Several procedures have been proposed in order to test its significance and to estimate its confidence intervals. In this study, the SMR of two causes of death in 27 health areas of Castilla-La Mancha have been calculated. The significance has been evaluated by exact Poisson test and by four methods approximating the Poisson distribution by the normal: 1) a Z statistic based on the assumption that a Poisson variate with expectation E has a standard deviation equal to square root of E; 2) the Z statistic with a continuity correction; 3) a Z statistic based on the square root transformation of a Poisson variable and 4) an approximation of the exact test by Byar. Also, the confidence intervals have been estimated by exact method and by three approximate procedures: 1) by Byar; 2) by Z statistic uncorrected and 3) by the square root transformation of the Poisson distribution. With the exact methods and Byar procedure the results were very similar; therefore, using the last to testing significance and estimate the confidence intervals of SMR, is suggested.

Confidence Intervals↗

Nonrandom arrangement of bovine satellite I DNA within the interphase nucleus of Madin-Darby bovine kidney cells.

The distribution of bovine satellite DNA was examined in Madin-Darby bovine kidney cells for each hour of interphase. Cells were grown on coverslips and probed using biotinylated cloned fragments of bovine satellite I DNA. Hybridization was detected using a streptavidin-alkaline phosphatase conjugate. Cells were projected onto a grid of fixed dimensions and the distribution of hybridization signal was recorded. A chi 2 analysis of fit compared this distribution of signals to a random distribution generated from the poisson distribution. Nuclear localization of bovine satellite I DNA was found to be nonrandom throughout interphase except at the G1/S border and S = 6 h. Moreover, distinct patterns of hybridization were also observed at specific times during interphase.

Animals↗

Characteristics of somatotopic organization and spontaneous neuronal activity in the region of the thalamic principal sensory nucleus in patients with spinal cord transection.

1. We explored the region of the principal sensory nucleus of thalamus (Vc) during stereotactic surgical procedures for treatment of patients with pain after spinal cord transection (n = 23). Receptive fields (RFs) of thalamic single neurons and locations of sensations evoked by stimulation (projected field, PF) were determined by standard methods. The cellular thalamic region where sensations were evoked at < 25 microA was termed the "region of Vc." The region of Vc in spinal patients was subdivided into different areas according to RF and PF locations. Areas that were distant from the representation of the anesthetic part of the body were termed "spinal control" areas, whereas those that were adjacent to or included in the representation of the area of absolute sensory loss were termed "border zone/anesthetic" areas. The region of Vc in movement disorder patients were termed the "control" area. 2. Border zone/anesthetic areas of thalamus often exhibited increased representations of the border of the anesthetic part of the body in comparison with the representation of the same parts of the body in control and spinal control areas. 3. In control and spinal control areas the locations of RFs and PFs were usually well matched. However, in border zone/anesthetic areas of the thalamus there was frequently a mismatch between the location of RFs and PFs (RF/PF mismatch). In border zone/anesthetic areas, RFs were often located on the border of the anesthetic part of the body whereas PFs were referred to anesthetic parts of the body. 4. Analysis of first- and higher-order properties of spontaneous neuronal activity revealed that spike trains could be classified into two groups with distinct patterns of activity. The R group (n = 49) was characterized by independence of sequential interspike intervals (ISIs), a Poisson distribution of ISIs, initially inhibitory or flat autocovariance function (acvf), and low level of high-frequency bursting. The O group (n = 26) was characterized by correlation of sequential ISIs, large sustained postspike facilitation on the acvf, and high prevalence of high-frequency bursting--all consistent with a bursting pattern of activity. A third group of spike trains (n = 17) had an initially inhibitory or flat acvf and a unimodal, positively shifted, ISI distribution that did not meet criteria for a Poisson distribution. 5. Spike trains in the R group were much more common in control and control spinal areas, whereas those in the O group were more common in border zone/anesthetic areas.(ABSTRACT TRUNCATED AT 400 WORDS)

Brain Mapping↗

Extracorporeal irradiation of blood: dosimetry corrected for shortened erythrocyte lifespans.

The amount of radiation delivered to erythrocytes during extracorporeal irradiation of blood (ECIB) has been described using Poisson distribution statistics. The Poisson expression for erythrocyte radiation dose distribution was simplified by considering the slight dilution of blood with fluid that is initially in the extracorporeal tubing. An algorithm was devised that allows curtailed lifespans of irradiated erythrocytes to be taken into account in a short computer program of radiation dosimetry for ECIB. Radiation doses to erythrocytes with and without lifespan corrections are compared.

Blood Cells↗

Theoretical epidemiology on bovine ephemeral fever outbreaks in Tanegashima Island, Kagoshima Prefecture of Japan in 1988.

From the end of September to November 1988, a compact scale of bovine ephemeral fever (BEF) outbreaks occurred suddenly in Tanegashima island of Kagoshima Prefecture, southern part of Kyusyu island of Japan. The BEF outbreak pattern showed epidemical characteristics as follows; (1) outbreak spread from few foci to zone during one month, and (2) the disease might be transmitted in farms with a fixed probability of adequate contact. By using the above aspects, we attempted to analyze the disease theoretically with the application of Poisson distribution and Reed-Frost model. The BEF incidence in farms was in well accord with the Poisson distribution. As the very rare event occurred in unit time or in unit area in this epidemic, the cattle population at risk were equivalently susceptible to BEF virus in this island, due to the influence of no vaccination to BEF control before the first outbreak. Similarly, the epidemic curve of the Reed-Frost model was proved to fit well the incidence observed in a farm, and the probability of adequate contact was induced as p = 0.226. If the cattle population is less than 5 in this farm, the outbreak would not occur in the first instance.

Animals↗

Monitoring epidemiologic surveillance data using hidden Markov models.

The analysis of routinely collected surveillance data is an important challenge in public health practice. We present a method based on a hidden Markov model for monitoring such time series. The model characterizes the sequence of measurements by assuming that its probability density function depends on the state of an underlying Markov chain. The parameter vector includes distribution parameters and transition probabilities between the states. Maximum likelihood estimates are obtained with a modified EM algorithm. Extensions are provided to take into account trend and seasonality in the data. The method is demonstrated on two examples: the first seeks to characterize influenza-like illness incidence rates with a mixture of Gaussian distributions, and the other, poliomyelitis counts with mixture of Poisson distributions. The results justify a wider use of this method for analysing surveillance data.

Disease Outbreaks↗

[Negative binomial distribution versus Poisson in the analysis of recurrent phenomena].

OBJECTIVE: The aim is to unfold the difficulties likely to arise in risk calculations through aggregated database when the studied phenomenon is recurrent and to display the negative binomial distribution as a valid and simple alternative to analyse this kind of phenomenon. METHODS: When the studied phenomenon is recurrent, the analysis by means of the Poisson regression can provoke overdispersion or extra-poisson variance, what leads to underestimating the standard errors in coefficients and may divert into the statistical significance of factors which as a matter of fact are not associated with the phenomenon beforehand. The negative binomial can grasp part of the variance which the Poisson is unable to identify. In order to check this out, the fit of both distributions were compared, based on the number of hospitalizations of individuals aged between 65 and 69, during 1996. This comparison was carried out by means of two different aggregated databases: by individuals and by variables. RESULTS: There were differences in the fitted models by means of both distributions in both databases. By the analysis of the residuals, when using the base by individuals, the negative binomial fits correctly 67.9% of the observations badly fitted by the Poisson. Using the aggregated variables database, the percentage is 50%. In both cases, Poisson estimates four out of the six studied variables as significant. As to the negative binomial, there are two significant based on individuals and one in the variable database. CONCLUSION: The existence of overdispersion is frequent in recurrent-type phenomena. When this occurs, the negative binomial distribution is more appropiate than the Poisson.

Aged↗

Infectivity of algal viruses studied by chlorophyll fluorescence.

Algal virus infection proceeds via the specific recognition of the host cell wall, penetration of the cell wall and transfer of genetic material into the cytoplasm of the host cell. This process is similar to that which occurs when bacteriophage infect bacteria so that techniques and concepts developed to study bacteriophage are applicable to algal virus studies. By measuring virus-induced changes in chlorophyll fluorescence we have redefined classical studies on the distribution of infectivity. We show that infectivity does not follow a Poisson distribution with a fixed mean, n. By analysing the infectivity of algal viruses over a broad range of virus:cell ratios we have obtained a corrected Poisson distribution that reflects the probability of multiple virus particles attached per cell and is equally applicable to algal viruses and bacteriophage.

Chlorella↗

The shape of the distribution of the number of sexual partners.

Information on the number of sexual partners that people have is necessary for predicting the likely long term course of the AIDS epidemic. More information is required than is provided by simply stating the mean and variance of the number of partners. It is useful to find a family of curves which approximate data on the proportion of people in the various 'number of partners' categories. Two Australian surveys of the sexual behaviour of first year university behavioural science students were analysed. It was found here that log-normal distributions gave good approximations to the distribution of number of partners amongst people who had more than one partner. Gamma and negative binomial distributions gave less satisfactory fits and the truncated normal and Poisson distributions were clearly unable to match the data.

Acquired Immunodeficiency Syndrome↗

Bacterivory rate estimates and fraction of active bacterivores in natural protist assemblages from aquatic systems

Unlike the fraction of active bacterioplankton, the fraction of active bacterivores (i.e., those involved in grazing) during a specified time period has not been studied yet. Fractions of protists actively involved in bacterivory were estimated assuming that the distributions of bacteria and fluorescently labeled bacteria (FLB) ingested by protists follow Poisson distributions. Estimates were compared with experimental data obtained from FLB uptake experiments. The percentages of protists with ingested FLB (experimental) and the estimates obtained from Poisson distributions were similar for both flagellates and ciliates. Thus, the fraction of protists actively grazing on natural bacteria during a given time period could be estimated. The fraction of protists with ingested bacteria depends on the incubation time and reaches a saturating value. Aquatic systems with very different characteristics were analyzed; estimates of the fraction of protists actively grazing on bacteria ranged from 7 to 100% in the studied samples. Some nanoflagellates appeared to be grazing on specific bacterial sizes. Evidence indicated that there was no discrimination for or against bacterial surrogates (i.e., FLB); also, bacteria were randomly encountered by bacterivorous protists during these short-term uptake experiments. These analyses made it possible to estimate the ingestion rates from FLB uptake experiments by counting the number of flagellates containing ingested FLB. These results represent the first reported estimates of active bacterivores in natural aquatic systems; also, a proposed protocol for estimating in situ ingestion rates by protists represents a significant improvement and simplification to the current protocol and avoids the tedious work of counting the number of ingested FLB per protist.

Journal Article↗

Effects of partial inbreeding on fixation rates and variation of mutant genes.

Diffusion methods were used to investigate the fixation probability, average time until fixation and extinction, and cumulative heterozygosity and genetic variance for single mutant genes in finite populations with partial inbreeding. The critical parameters in the approximation are the coefficient of inbreeding due to nonrandom mating (F) and the effective population size (Ne), which also depends on F and the variance of family size. For large Ns, the fixation probability (u) is u = 2(Ne/N)s (F + h - Fh), where N is the population census, s is the coefficient of selection of the mutant homozygote and h is the coefficient of dominance. For Poisson family size (independent Poisson distributions of selfed and nonselfed offspring with partial selfing, and independent Poisson distributions of male and female numbers with partial sib mating), Ne = N/(1 + F), and the time until fixation is approximately equal to Ne/N times the time to fixation with random mating, but this relation does not hold, however, for other distributions of family size. The cumulative nonadditive variance until fixation or loss for dominant genes is reduced with increasing F while for recessive genes it is increased with intermediate values of F. The average time until extinction of deleterious mutations is reduced by increasing F. This reduction, when expressed as a proportion, is approximately independent of the initial gene frequency as well as the selective disadvantage if this is large.

Animals↗

Impact of demographic distribution and population growth rate on haplotypic diversity linked to a disease gene and their consequences for the estimation of recombination rate: example of a French Canadian population.

A disease gene introduced into a rapidly growing population by a single individual remains in strong linkage disequilibrium with the surrounding molecular markers. Mapping strategies taking advantage of this phenomenon allow increased mapping resolution as compared to pedigree analysis. Demographic models underlying these strategies usually assume the population exponential growth approximated by Poisson distribution of the number of children per individual. Knowing the real demographic distribution in the studied French-Canadian population, we analyzed the validity of the Poisson approximation. We adapted the existing model of the Poisson branching process to the case of a rapidly growing population and to non-Poisson distributions. In consequence, we were able to apply maximum-likelihood methods to estimate the recombination rate under various demographic scenarios. Our analysis shows that the growth rate has a higher impact on the estimation of recombination rate than the shape of the demographic distribution. The choice of the demographic model (Poisson vs. non-Poisson) has little effect on the estimation of the recombination rate but affects the expected distribution of haplotype frequencies. This distribution, however, depends much more on the population growth rate. Finally, we also demonstrate the usefulness of the Luria-Delbrück method, which gives a correct estimation of the recombination rate in a growing population, provided the sampling error is taken into account in the confidence intervals.

Confidence Intervals↗