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A spatially explicit approach to estimating species occupancy and spatial correlation.

1. Understanding and predicting the form of species distributions, or occupancy patterns, is fundamental to macroecology and is dependent on the identification of scaling relationships that underlie the patterns observed. 2. Occupancy-abundance models based on the negative binomial distribution and Taylor's power law are spatially implicit, rather than explicit, as they include no information on the relative positions of individuals. Here we present a spatially explicit model, the spatial scaling occupancy (SSO) model, to estimate species occupancy and spatial correlation, based on join-count statistics, or a pair approximation, approach. This model provides a spatially explicit description of species range size and aspects of range structure. 3. Occupancy data from Drosophilidae species inhabiting a decaying fruit mesocosm were used to test the SSO model. Predictions from the spatially implicit and explicit models were largely equally accurate. The SSO model is thus more efficient as it is less data demanding, and more informative as it provides an estimation of spatial correlation. 4. The results also showed that species distribution patterns differ when examined with spatially implicit vs. explicit approaches; the scaling relationship between occupancy and local density identifies a focal grain for studying the scale-dependent nature of ecological relationships; and the longer the length of the sample edge, the higher the occupancy observed under conditions of spatial aggregation. 5. The SSO model presents a step towards a general scaling model for occupancy, and demonstrates that the inclusion of spatially explicit information in macroecological models warrants further attention.

Animals↗

Effect of Moniliformis moniliformis density on distribution within the definitive host population (Rattus norvegicus).

The population dynamics of Moniliformis moniliformis was studied in 'free-ranging' laboratory rats, Rattus norvegicus, presented with different relative density levels of M. moniliformis in cockroaches, Periplaneta americana. Changes in selected population parameters of the negative binomial distribution were evaluated as indicators of changes in aggregation. A significant increase in the degree of aggregation of parasites occurred as a result of the increase in relative density of infective stages available to the rats. This increase in aggregation was due to the increase in over-dispersion that occurred in female rats only. The degree of aggregation in females was found to be significantly higher than that in males at both treatment levels. The best indicators of the degree of aggregation were found to be the ratio of the variance to the relative density and the ratio of the log-variance to log-relative density. Changes in k were not correlated with changes in over-dispersion or the relative density.

Acanthocephala↗

Long-term facilitation alters transmitter releasing properties at the crayfish neuromuscular junction.

Synaptic transmission at the neuromuscular junction of the excitatory axon supplying the crayfish opener muscle was examined before and after induction of long-term facilitation (LTF) by a 10-min period of stimulation at 20 Hz. Induction of LTF led to a period of enhanced synaptic transmission, which often persisted for many hours. The enhancement was entirely presynaptic in origin, since quantal unit size and time course were not altered, and quantal content of transmission (m) was increased. LTF was not associated with any persistent changes in action potential or presynaptic membrane potential recorded in the terminal region of the excitatory axon. The small muscle fibers of the walking-leg opener muscle were almost isopotential, and all quantal events could be recorded with an intracellular microelectrode. In addition, at low frequencies of stimulation, m was small. Thus it was possible to apply a binomial model of transmitter release to events recorded from individual muscle fibers and to calculate values for n (number of responding units involved in transmission) and p (probability of transmission for the population of responding units) before and after LTF. In the majority of preparations analyzed (6/10), amplitude histograms of evoked synaptic potentials could be described by a binomial distribution with a small n and moderately high p. LTF produced a significant increase in n, while p was slightly reduced. The results can be explained by a model in which the binomial parameter n represents the number of active synapses and parameter p the mean probability of release at a synapse. Provided that a pool of initially inactive synapses exists, one can postulate that LTF involves recruitment of synapses to the active state.

Action Potentials↗

A quantitative sampling method for Oncomelania quadrasi by filter paper.

Filter paper was found to attract Oncomelania quadrasi in waters the same way as fallen dried banana leaves, although less number of other species of snails was collected on the former than on the latter. Snails were collected in limited areas using a tube (85 cm2 area at cross-section) and a filter paper (20 X 20 CM) samplers. The sheet of filter paper was placed close to the spot where a tube sample was taken, and recovered after 24 hours. At each sampling, 30 samples were taken by each method in an area and sampling was made four times. The correlation of the number of snails collected by the tube and that by filter paper was studied. The ratio of the snail counts by the tube sampler to those by the filter paper was 1.18. A loose correlation was observed between snail counts of both methods as shown by the correlation coefficient r = 0.6502. The formulas for the regression line were Y = 0.77 X + 1.6 and X = 0.55 Y + 1.35 for 3 experiments where Y is the number of snails collected by tube sampling and X is the number of snails collected in the sheet of filter paper. The type of snail distribution was studied in the 30 samples taken by each method and this was observed to be nearly the same in both sampling methods. All sampling data were found to fit the negative binomial distribution with the values of the constant k varying very much from 0.5775 to 5.9186 in (q -- p)-k. In each experiment, the constant k was always larger in tube sampling than in filter paper sampling. This indicates that the uneven distribution of snails on the soil surface becomes more conspicuous by the filter paper sampling.

Animals↗

Sampling the lipogenic hepatic acetyl-CoA pool in vivo in the rat. Comparison of xenobiotic probe to values predicted from isotopomeric distribution in circulating lipids and measurement of lipogenesis and acetyl-CoA dilution.

The acetylation of xenobiotics may provide a means for sampling hepatic cytosolic acetyl-CoA in vivo for isotopic studies of lipogenesis. Here, we test the accuracy of acetylated-sulfamethoxazole (SMX) in representing the true precursor pool for hepatic lipogenesis by comparison to a mathematical technique for estimating acetyl-CoA enrichment using the mass isotopomer distribution in circulating lipids. We then go on to measure hepatic fatty acid synthesis in intact rats using stable and radioisotopes. Specific activities and enrichments of SMX-acetate (the latter determined by high performance liquid chromatography-mass spectrometry) were monitored during fasting and refeeding. The dilution rate of hepatic acetyl-CoA relative to infused 13C- or 14C-acetates was 0.158-0.200 mmol/kg body weight/min during fasting, and did not increase significantly in rats refed with intravenous glucose at 25-30 mg/kg/min or refed ad libitum with chow, suggesting little additional input of acetate units. Plasma beta-hydroxybutyrate specific activity was much lower than SMX-acetate. The isotopomeric frequency distributions in circulating very low density lipoprotein (VLDL)-palmitate and VLDL-stearate were used to estimate the enrichment of the true precursor, hepatic acetyl-CoA, from a model based on the binomial distribution. The calculated acetyl-CoA values (7.28 +/- 0.49 molar percent excess (n = 16] based on isotopomeric frequencies were very close to measured SMX-acetate enrichments (7.44 +/- 0.41 molar percent excess (n = 21] and values within individual animals (n = 14) correlated very well (r2 = 0.90, p less than 0.0001). The contribution of VLDL-fatty acid by the de novo lipogenic pathway was similar using the stable isotope approach or radioisotopes (only 1-2% in fasted or intravenous glucose refed rats, 5% in chow refed). Combining fractional de novo lipogenesis values with absolute de novo lipogenesis rates allows estimation of total VLDL-triglyceride synthesis. In conclusion, the xenobiotic acetylation technique provides continuous access to the lipogenic hepatic acetyl-CoA pool in vivo and permits measurement of fatty acid synthesis. Isotopomer ratios in secreted lipids provide another method for estimating true precursor acetyl-CoA enrichments.

Acetates↗

Integrating uncertainty and interindividual variability in environmental risk assessment.

An integrated, quantitative approach to incorporating both uncertainty and interindividual variability into risk prediction models is described. Individual risk R is treated as a variable distributed in both an uncertainty dimension and a variability dimension, whereas population risk I (the number of additional cases caused by R) is purely uncertain. I is shown to follow a compound Poisson-binomial distribution, which in low-level risk contexts can often be approximated well by a corresponding compound Poisson distribution. The proposed analytic framework is illustrated with an application to cancer risk assessment for a California population exposed to 1,2-dibromo-3-chloropropane from ground water.

California↗

Confidence limits for homology in protein or gene sequences. The c-myc oncogene and adenovirus E1a protein.

We describe new tests, of general application, for deciding whether two proteins or DNA sequences are significantly homologous, in cases where the relationship is neither evidently true nor evidently false. Ralston and Bishop's comparison of the c-myc oncogene with the adenovirus E1a protein is discussed as an example. When the comparison matrix test is used to establish a homology between two sequences it is necessary that the number of high scores exceeds the expected mean level for random sequences by a statistically significant margin. The mean level itself is found from the double matching probability distribution. In examples where the number of high scores is larger than expected, but the highest score is not in itself exceptional, the variance of the numbers of scores expected for unrelated sequences is an important factor. We have analysed these variances by several methods. A simple binomial distribution gives only a rather inaccurate and low first estimate, but we derive a more rigorous and accurate statistical treatment, to take account of the correlations between scores in different parts of the comparison matrix. The theory is exact for random DNA or protein sequences with fluctuating compositions, selected by random draws from an infinite pool. In the more realistic situation, where sequences of fixed composition are formed by random permutations of the original sets, the deviations are smaller, and have been analysed by computer simulation. We find that although the relationship proposed by Ralston & Bishop, between the c-myc oncogene and adenovirus E1a proteins, appears to be significant in the binomial approximation, it is not supported by the full analysis. We conclude that, in general, great care is needed to establish any weak homology on the basis of comparisons that include no truly exceptional high scores, but merely have an enhanced number of scores at the upper end of the expected distribution.

Adenoviridae↗

[Studies on the distribution and the control decision of white grub population in field of Paeonia lactiflora].

The present paper showed the result of accumulated distribution pattern of the mixed population of white grubs [Holotrichia oblita (Faldermann)] in the field. The x2-test indicated that the numbers of grub were 2.5-8 per squar-meter, which agreed to negative binomial distribution. The accepted and refused lines of sequential sampling were calculated in different occurrence degree.

Animals↗

[Type and parameters of common warble fly (Hypoderma bovis) larval distribution in cattle herds in different parts of a geographic range].

The method of statystical analysis of the distribution of the 2nd and 3d instar larvae of Hypoderma bovis in 54 herds (8120 heads) of cattle from Czechoslovakia and in 20 herds (1809 heads) from Mongolia has shown that in most cases the negative binomial distribution models the distribution of larvae with sufficient reliability and that the variability in parameters of the distribution is stable independent on the parts of the area.

Animals↗

Kinetic models of translocation, head-on collision, and DNA cleavage by type I restriction endonucleases.

Digestion of linear DNA by type I restriction endonucleases is generally activated following the head-on collision of two translocating enzymes. However, the resulting distributions of cleavage loci along the DNA vary with different enzymes; in some cases, cleavage is located in a discrete region midway between a pair of recognition sites while in other cases cleavage is broadly distributed and occurs at nearly every intervening locus. Statistical models for DNA translocation, collision, and cleavage are described that can account for these observations and that are generally applicable to other DNA-based motor proteins. If translocation is processive (stepping forward is significantly more likely than DNA dissociation), then the linear distribution of an ensemble of proteins can be described simply using a Poisson relationship. The pattern of cleavage sites resulting from collision between two processive type I enzymes over a distance d can then be described by a binomial distribution with a standard deviation 0.5 x d1/2. Alternatively, if translocation is nonprocessive (stepping forward or dissociating become equally likely events), the linear distribution is described by a continuum of populated states and is thus extended. Comparisons of model data to the kinetics of DNA translocation and cleavage discount the nonprocessive model. Instead, the observed differences between enzymes are due to asynchronous events that occur upon collision. Therefore, type I restriction enzymes can be described as having processive DNA translocation but, in some cases, nonprocessive DNA cleavage.

Base Sequence↗

Breeding biology of muscovy duck (Cairina moschata) under natural incubation: the use of the weibull function and a beta-binomial model to predict nest hatchability

In this paper we tested the Weibull function and beta-binomial distribution to analyse and predict nest hatchability, using empirical data on hatchability in Muscovy duck (Cairina moschata) eggs under natural incubation (932 successfully incubated nests and 11 822 eggs). The estimated parameters of the Weibull function and beta-binomial model were compared with the logistic regression analysis. The maximum likelihood estimation of the parameters was used to quantify simultaneously the influence of the nesting behaviour and the duration of the reproduction cycle on hatchability. The estimated parameters showed that the hatchability was not affected in natural dump nests, but in artificial dump nests and in nests with non-term eggs the hatchability was reduced by 10 and 25%, respectively. Similar results were obtained using logistic regression. Both models provided a satisfactory description of the observed data set, but the beta-binomial model proved to have more parameters with practical and biological meaningful interpretations, because this model is able to quantify and incorporate the unexplained variation in a single parameter theta (which is a variance measure). Copyright 1999 Academic Press.

Journal Article↗

Distribution of aflatoxin in whole peanut kernels, sampling plans for small samples.

It is well known that the distribution of aflatoxin in a lot of whole peanut kernels is extremely heterogeneous. Several different statistical distribution models have been proposed, fitting the experimental data reasonably well as long as the samples are very large, but differing considerably when applied to small samples. Therefore, it is important to know the real distribution between single kernels for the evaluation of the effectiveness of sampling plans for small samples. It is shown by the analysis of 368 samples of 1-10,000 kernels from the same lot of peanuts that the negative binomial distribution represents a good statistical model. The variance can be estimated from the mean concentration of the analysed samples, as confirmed by the comparison of data from several independent investigations. Decisions based on small samples are especially unfavourable to the consumer, as even a lot with a high mean concentration will tend to give negative results. A reasonably small risk of a false decision, both to the consumer and to the producer, can be reached only if very large samples are analysed.

Aflatoxin B1↗

Cerebral arterial spasm after penetrating craniocerebral gunshot wounds: transcranial Doppler and cerebral blood flow findings.

OBJECTIVE: The goals of the study were to determine the incidence and time course of cerebral arterial spasm in patients with penetrating craniocerebral gunshot wounds, to study the relationship between vasospasm and subarachnoid hemorrhage (SAH) in these patients, and to evaluate the effects of vasospasm on outcome. METHODS: Thirty-three patients with craniocerebral gunshot wounds underwent computed tomography at admission and then underwent transcranial doppler ultrasonography (TCD). Velocities in the middle cerebral artery and the extracranial internal carotid artery were measured. Vasospasm was defined as a middle cerebral artery velocity greater than 120 cm per second and a hemispheric index (ratio of middle cerebral artery to internal carotid artery velocity) greater than 3. Intravenous xenon-133 cerebral blood flow (CBF) studies were performed for 10 patients. RESULTS: TCD was initiated, on average, 1.1 days after injury; 205 studies (mean, 6.3 studies/patient) were performed 0 to 33 days after injury. TCD showed vasospasm in 14 patients (42.4%). Xenon-133 studies performed within 24 hours of TCD measurements indicating spasm demonstrated normal or low CBF in three of five patients with spasm, ruling out hyperemia as the cause of elevated flow velocities in these three patients. Seven patients had unilateral vasospasm, and seven had bilateral spasm. Vasospasm was most prominent from Days 5 through 11. Vasospasm was distributed across all levels of injury severity, as defined by the Glasgow Coma Scale. Initial computed tomographic scans demonstrated SAH in all 14 patients with vasospasm but in only 9 of 19 without spasm (100 versus 47%, P < 0.0001, binomial distribution probability test). Outcomes for patients with vasospasm were slightly worse than for those without spasm (35.7 versus 47.4% good outcomes, respectively); however, this difference did not reach statistical significance (P = 0.12). CONCLUSION: These findings demonstrate that delayed cerebral arterial spasm is a frequent complication in patients with craniocerebral gunshot wounds and is strongly associated with SAH. The frequency, time course, and severity of spasm are comparable with those observed with aneurysmal SAH and traumatic SAH caused by closed head injury. This study offers new insights into the hemodynamic pathophysiology after gunshot wounds to the brain and suggests that increased vigilance for vasospasm may be of benefit.

Adolescent↗

[A metrical analysis of exploratory behavior in mice: effects of methamphetamine and diazepam (author's transl)].

Exploratory behavior can be considered a kind of positional behavior. The theory for the analysis of exploratory behavior by the presented method is based on the concept of the Markov process. The following parameters were used in this experiment; (1) frequency of visits to all the positions that are unit spaces expedient to the observation (N), (2) Entropy (HI), a measure of the spacial distribution of animal location, (3) Entropy (HII), a measure of the degree of disorder in movement direction, and (4) length of the longest path passed frequently (L), calculated by examining an upper confidence limit for a parameter of a binomial distribution. Both methamphetamine and diazepam increased N at lower doses, and increased L dose-relatedly. Methamphetamine decreased the values of HI and HII. Diazepam increased HI value while decreased HII value. These results indicate that the effect of methamphetamine on the exploratory behavior in mice is to narrow their behavior space and to make their movement pattern monotonous, back and forth within a small area (i.e. stereotyped behavior), and the effect of diazepam is to extend their behavior space and also simplify their movement pattern, going round and round over a wide area in the apparatus. The results of this experiment suggest that the present method is useful for analysis of exploratory behavior and a better understanding of the effects of psychotropic drugs.

Animals↗

Competitive interactions between supernumerary and normal sensory neurons in the cockroach are mediated through a change in quantal content and not quantal size.

1. The final steps in synapse formation and stabilization involve the adjustment of strength of connections through competitive interactions between neurons contacting a common target. The mechanisms underlying this competition-driven adjustment of synaptic strength are not well understood. We have studied one aspect of this phenomenon using the cercal sensory system of first instar cockroach nymphs. 2. Quantal analysis of excitatory postsynaptic potentials (EPSPs) recorded at the synapse between the lateral filiform hair sensory neuron (L) and giant interneuron 3 (GI3) was carried out to determine whether the reduction in EPSP amplitude observed in the presence of an additional sensory neuron ("space invader neuron" or SIN) was due to pre- or postsynaptic changes. 3. Mean quantal content, not quantal size, was reduced at the L-GI3 synapse in the presence of a SIN. Fitting binomial distributions to the EPSP amplitude histograms gave estimates of the number of releasable quanta or of synaptic sites (n) and the probability of release at these sites (p). The reduction in quantal content is associated with a decrease in the binomial parameter n and not p, suggesting that there is a decrease in the number of contacts, release sites, or quanta available for release, rather than a change in probability of release.

Animals↗

Single channel recordings from synaptosomal AMPA receptors.

Synaptic glutamate receptors play a prominent role in the excitatory neurotransmission in the vertebrate central nervous system. Although elucidation of the functional properties of glutamate receptors using electrophysiologic analyses has yielded important information, methodological and technological limitations have prevented direct measurement of single channel properties of synaptic receptors. Here, we have isolated murine mossy fiber synaptosomes and reconstituted them into small artificial lipid bilayers to characterize the single-channel properties of synaptic alpha amino-3-hydroxy-5-methylisoxazole-4-propionic acid (AMPA)-subtype glutamate receptors. The reconstituted synaptosomal receptors were activated by nanomolar concentrations of AMPA and blocked by a potent AMPA receptor antagonist. The synaptosomal AMPA receptors exhibited channel conductances of 14-56 pS and linear current-voltage relationship. The open and closed dwell time distributions of single channel currents were best described by three exponentials. These channels frequently exhibited burst behavior with long burst duration of approx 60 ms. Experiments with multichannel recordings revealed that steady state probabilities could not be fitted using a binomial distribution, indicating a cooperative channel gating behavior that would account for larger membrane currents. Our findings suggest that isolation, reconstitution into lipid bilayers, and subsequent single channel analysis of synaptosomal receptors is a useful method for investigation of synaptic AMPA receptors.

Animals↗

Evaluation of the Poisson distribution for estimating the quality of drug/diluent random powder mixtures. I. High particle size of the drug constituent.

Use of the Poisson distribution to estimate the quality of random mixtures was evaluated as a measure of the highest attainable degree of dose uniformity of tablets. Ingredient A was assumed to have a large particle size as compared to diluent B. In contrast to the more precise binomial distribution, for the simple Poisson approach no experiments are necessary to investigate the mean proportions of the apparent volume, av and bv, which A and B assume within the powder samples in the die. The range of volume ratios was defined where the Poisson distribution is valid. Accepting an error of 5% of the random content variation of A per sample, av may amount to up to 0.1 (10%). In terms of the proportion by mass of A, a, this range is wider, and commonly of the order of 0.2 or higher. This approach was tested with tablets prepared from mixtures of coarse sucrose A and a fine Avicel/talc diluent B at A:B (m:m) ratios from 10:90 to 50:50. Even with the 30:70 tablets, the variations of the sucrose content were still in good agreement with the content variations of the random mixtures as estimated from the Poisson distribution. Estimates of the 50:50 ratio, however, deviated from the Poisson distribution.

Algorithms↗

[Number of aberrations per cell as a parameter of chromosome instability. 2. Comparative analysis of the factors of different nature].

The average number of aberrations per aberrant cell was concluded to carry out information on chromosome instability peculiarities induced by different mutagens as it was shown in our previous work. The purpose of the current study was to present comparative analysis of intercellular distribution of number of aberrations and their theoretical approximations. Distribution of numbers of aberrations per cell in Allium cepa L. and Allium fistulosum L. root tip cells induced by different mutagenic factors (gamma-irradiation, thiotepa, formaldehyde and seed aging) have been studied. The results were approximated to theoretical Poisson, geometric and negative binomial distributions. The intercellular distribution of aberrations did not correspond to any of the used theoretical distributions when A. cepa seeds were gamma-irradiated. There was some, but not regular, accordance with theoretical distributions when chemical mutagens thiotepa in A. cepa and formaldehyde in A. fistulosum and seed aging in both species were evaluated. During seed aging frequency of aberrant cells increased more quickly in A. fistulosum in comparison with A. cepa.

Allium↗