Thresholds of bifurcation of the degree of circular polarization of the bremsstrahlung-generated pump field harmonics in plasma

It is established that, for a Maxwellian plasma in a monochromatic pump field, the phenomenon of bifurcation of the degree of circular polarization of the field harmonics is of a universal nature. A general equation determining the thresholds for this phenomenon for arbitrary harmonics is derived, and a set of its solutions is presented for illustrative purposes.     

Open access

Scientific communication is a misnomer. The process of scientific publication is much less a forum where information is exchanged for information than a market where information is exchanged for attention. Nevertheless, the exchange of information for attention is a somewhat peculiar market, since it seems much more natural to sell the information one has produced laboriously for money. Why publish a discovery, why share it with other researchers when knowledge is power?     

Mass Ligand Binding Screening for Receptor Antagonists: Prototype New Drugs and Blind Alleys

Abstract

The ligand binding assay is a powerful tool in the search for antagonists for novel receptors, and for identification of novel classes of antagonists for well-known receptors. Ligand binding mass screening can be adapted for very high throughput. In order for mass screening to be useful, it is necessary to strictly define the binding characteristics for a compound to be considered a putative receptor antagonist. In practice, we have found that synthetic pursuit of a compound with a K_i of ± 1 uM is likely to lead down a blind alley unless very good evidence for specificity is available. Even potent competitors for binding should be thoroughly evaluated in assays of biological activity before a synthetic program is initiated in earnest.     

Mathematical modeling for functional divergence after gene duplication.

In this paper, I present a statistical framework for modeling the functional divergence after gene duplication. A rate-component model to describe the rate covariation among homologous genes of a gene family is implemented when a phylogenetic tree is known. The Markov chain model is rigorous but may require a huge amount of computational time when the number of sequences is large. On the other hand, the Poisson-based model is mathematically analytical so that computation is very fast even for a large dataset. Moreover, under the posterior framework, we have developed a site-specific profile for predicting important amino acid residues responsible for these functional differences between member genes of a gene family. Our study may have great potential for functional genomics because it is cost-effective, and these predictions can be further tested by biological experimentation.     

Genome analysis technologies: towards species identification by genotype.

Traditional identification of species has been based on phenotypic traits, although it is clear that, theoretically, genotype-based classification is more accurate. This is especially the case for microorganisms which possess less identifiable traits and are more easily influenced by environment. Therefore, technology that allows identification of species based on genotype is highly desirable. Whole genome sequencing can provide a sufficient amount of information and can be determinative for this purpose but is very impractical for routine use. Thus, a competent technology is needed that allows a reproducible reduction in the amount of information required about a whole genome, while still providing sufficiently accurate identification. It is almost imperative for such a technology to be of a high cost-performance and of easy handling. Universality and portability are also strongly desired. Based on these criteria, the current state of genome analysis technologies are reviewed. Among various methodologies discussed here, amplified fragment length polymorphism (AFLP), genome profiling (GP) and microarrays are the subject of particular attention. As species identification is a base for most fields of biology including microbiology, ecology, epidemiology and for various biotechnologies, it is of paramount importance to establish a more efficient, easily handled and more objective methodology, in parallel with conventional phenotype-based methodologies. GP is currently considered to have the most optimal nature for identification of species since it can reproducibly reduce a huge amount of genome information to a manageable size by way of random polymerase chain reaction and can extract a sufficient amount of information for species identification from the DNA fragments thus profiled by temperature gradient gel electrophoresis. The potential ability of DNA microarrays for this purpose is also discussed and promises much for the future.     

Deadlock Avoidance for Sequential Resource Allocation Systems: Hard and Easy Cases

Deadlock is a major problem for systems that allocate resources in real time. The key issue in deadlock avoidance is whether or not a given resource allocation state is safe: that is, whether or not there exists a sequence of resource allocations that completes all processes. Although safety is established as NP-complete for certain broad resource allocation classes, newly emerging resource allocation scenarios often exhibit unique features not considered in previous work. In these cases, establishing the underlying complexity of the safety problem is essential for developing the best deadlock avoidance approach. This work investigates the complexity of safe resource allocation for a class of systems relevant in automated manufacturing. For this class, the resource needs of each process are expressed as a well-defined sequence. Each request is for a single unit of a single resource and is accompanied by a promise to release the previously allocated resource. Manufacturing researchers have generally accepted that safety is computationally hard, and numerous suboptimal deadlock avoidance solutions have been proposed for this class. Recent results, however, indicate that safety is often computationally easy. The objective of this article is to settle this question by formally establishing the NP-completeness of safety for this class and investigating the boundary between the hard and easy cases. We discuss several special structures that lead to computationally tractable safety characteristics.     

Visualising and assessing the probable error from downscaling ecological time series data

Collecting natural data at regular, fine scales is an onerous and often costly procedure. However, there is a basic need for fine scale data when applying inductive methods such as neural networks or genetic algorithms for the development of ecological models. This paper will address the issues involved in interpolating data for use in machine learning methods by considering how to determine if a downscaling of the data is valid. The approach is based on a multi-scale estimate of errors. The resulting function has similar properties to a time series variogram; however, the comparison at different scales is based on the variance introduced by rescaling from the original sequence. This approach has a number of properties, including the ability to detect frequencies in the data below the current sampling rate, an estimate of the probable average error introduced when a sampled variable is downscaled and a method for visualising the sequences of a time series that are most susceptible to error due to sampling. The described approach is ideal for supporting the ongoing sampling of ecological data and as a tool for assessing the impact of using interpolated data for building inductive models of ecological response.     

Homozygosity in a population of variable size and mutation rate

A formula is obtained for the probability that two genes at a single locus, sampled at random from a population at time t, are of particular types. The model assumed is a diffusion approximation to a neutral Wright-Fisher model in which mutation is not necessarily symmetric and the population size is a function of time. It is shown that for symmetric mutation in a population undergoing a step-function type bottleneck, homozygosity increases with decreasing population size. A formula is given for the distribution of the number of segregating sites occurring in two randomly sampled sequences of completely linked sites, with general mutation at a site and identical mutation structure between sites.We give similar results for a population of fixed size but for which the mutation rate is a function of time, and not necessarily symmetric. We confirm the intuitively clear effect that increasing the mutation rate decreases homozygosity.     

Minimum shear wind strength required for dynamic soaring of albatrosses

The transfer of energy from the moving air in the shear wind above the sea surface to a bird is considered as an energy source for dynamic soaring, with the goal to determine the minimum shear wind strength required for the dynamic soaring of albatrosses. Focus is on energy-neutral trajectories, implying that the energy gain from the moving air is just sufficient to compensate for the energy loss due to drag for a dynamic soaring cycle. A mathematical optimization method is used for computing minimum shear wind energy-neutral trajectories, using a realistic flight mechanics model for the soaring of albatrosses. Thus, the minimum shear wind strength required for dynamic soaring is determined. The minimum shear wind strength is of a magnitude that often exists or is exceeded in areas in which albatrosses are found. This result holds for two control cases dealt with, one of which shows a freely selectable and the other a constant lift coefficient characteristic. The mechanism of energy transfer from the shear flow to the bird is considered, and it is shown that there is a significant energy gain in the upper curve and a loss in the lower curve. As a result, the upper curve can be qualified as the characteristic flight phase of dynamic soaring to achieve an energy gain.     

Positional Information and Positional Signalling in Hydra

A model is proposed for regulation and regeneration of the headend of hydra in terms of positional information, which involvestwo gradients. One is a diffusible substance made at the headend, which may be regarded as a positional signal. The otheris a more stable cellular parameter which is the positionalvalue. The rule for head end formation is that the concentrationof the diffusible substance falls a threshold amount below thepositional value. This model, for which some computer simulationis provided, can account for head end formation in a wide varietyof grafts. Evidence for a diffusable signal is provided by experimentsin which the time/distance relationships for head inhibitionby a grafted head are determined. Changes in positional valueduring regulation have been assayed and are much slower awayfrom the boundary. Polarity is interpreted in terms of the interactionbetween the two gradients. The biochemical basis of the gradientsis not known, but an approach to the problem has been made bytreating hydra with a variety of chemical agents.     

Journeying Between Desire and Anthropology: A Story in Suspense

Anthropology is a discipline based on the motif of the journey and ‘the myth of the eternal return’. This is the journey out to the ‘other’in order to return to constitute ‘self, and this movement is a movement of desire. The desire is for wholeness, for self‐presence, for a unified self. It is a desire for origins. And this desire is evident in anthropological practices as it is in myths and fairytales—all tell stories that speak of the desire for a separate, an original, self. Yet ‘the myth of the eternal return’reveals that the enactment of the story is itself originating. The origin is not a thing to be hunted down and appropriated—it is no thing. Like the archetypes which flow through stories, it is alive in the telling. The story I tell in this paper is about my own desires. It speaks of the desire to undergo the rite of passage of anthropology, and of how this journey was interrupted by the anthropologist who always journeys before me. And yet. it is through the inextricable relations with the writings of the “other‘ anthropologist that alluring moments of different desiring are fleetingly revealed. In the end. my relations with anthropology tell of a paradox: of the desire for a transcendental journey in order to constitute self and the seductive desire for immersion—to lose self, the story remains in suspense.     

Observations on the Staining of Corynebacterium Diphtheriae

Albert's method, of staining diphtheria cultures consists of staining a fixed smear for one minute (some laboratories stain for five minutes) with a solution containing toluidine blue and malachite (or methyl) green, washing with water, and applying Albert's iodine for one minute. This procedure is discussed and criticized, and in addition the mechanism of the stain is elucidated. Also, the procedure which involves staining a fixed smear for one minute with Loeffler's alkaline methylene blue solution is discussed and criticized.

To overcome the objections to the above staining methods, a different method is proposed. This consists of staining a fixed smear with an acid solution of toluidine blue, washing with water, applying Albert's iodine for one minute, washing with water, and finally applying a safranin solution for 15-20 seconds. The theoretical basis for this method is presented.     

Flow-through anterior thigh flaps with a short pedicle for reconstruction of lower leg and foot defects

New flow-through perforator flaps with a large, short vascular pedicle are proposed because of their clinical significance and a high success rate for reconstruction of the lower legs. Of 13 consecutive cases, the authors describe two cases of successful transfer of a new short-pedicle anterolateral or anteromedial thigh flow-through flap for coverage of soft-tissue defects in the legs. This new flap has a thin fatty layer and a small fascial component, and is vascularized with a perforator originating from a short segment of the descending branch of the lateral circumflex femoral system. The advantages of this flap are as follows: flow-through anastomosis ensures a high success rate for free flaps and preserves the recipient arterial flow; there is no need for dissecting throughout the lateral circumflex femoral system as the pedicle vessel; minimal time is required for flap elevation; there is minimal donor-site morbidity; and the flap is obtained from a thin portion of the thigh. Even in obese patients, thinning of the flap with primary defatting is possible, and the donor scar is concealed. This flap is suitable for coverage of defects in legs where a single arterial flow remains. It is also suitable for chronic lower leg ulcers, osteomyelitis, and plantar coverage.     

On statistical inference for the random set generated Cox process with set-marking

Cox point process is a process class for hierarchical modelling of systems of non-interacting points in Rd under environmental heterogeneity which is modelled through a random intensity function. In this work a class of Cox processes is suggested where the random intensity is generated by a random closed set. Such heterogeneity appears for example in forestry where silvicultural treatments like harvesting and site-preparation create geometrical patterns for tree density variation in two different phases. In this paper the second order property, important both in data analysis and in the context of spatial sampling, is derived. The usefulness of the random set generated Cox process is highly increased, if for each point it is observed whether it is included in the random set or not. This additional information is easy and economical to obtain in many cases and is hence of practical value; it leads to marks for the points. The resulting random set marked Cox process is a marked point process where the marks are intensity-dependent. The problem with set-marking is that the marks are not a representative sample from the random set. This paper derives the second order property of the random set marked Cox process and suggests a practical estimation method for area fraction and covariance of the random set and for the point densities within and outside the random set. A simulated example and a forestry example are given.     

Likelihood of a particular order of genetic markers and the construction of genetic maps

We model the recombination process of fungal systems via chromatid exchange in meiosis, which accounts for any type of bivalent configuration in a genetic interval in any specified order of genetic markers, for both random spore and tetrad data. First, a probability model framework is developed for two genes and then generalized for an arbitrary number of genes. Maximum likelihood estimators (MLEs) for both random and tetrad data are developed. It is shown that the MLE of recombination for tetrad data is uniformly more efficient over that from random spore data by a factor of at least 4 usually. The MLE for the generalized probability framework is computed using the expectation-maximization (EM) algorithm. Pearson's chi-squared statistic is computed as a measure of goodness of fit using a product-multinomial setup. We implement our model with genetic marker data on the whole genome of Neurospora crassa. Simulated annealing is used to search for the best order of genetic markers for each chromosome, and the goodness of fit value is evaluated for model assumptions. Inferred map orders are corroborated by genomic sequence, with the exception of linkage groups I, II, and V.     

Amalgam is a ligand for the transmembrane receptor neurotactin and is required for neurotactin-mediated cell adhesion and axon fasciculation in Drosophila

Neurotactin (NRT), a member of the cholinesterase-homologous protein family, is a heterophilic cell adhesion molecule that is required for proper axon guidance during Drosophila development. In this study, we identify amalgam (AMA), a member of the immunoglobulin superfamily, as a ligand for the NRT receptor. Using transfected Schneider 2 cells and embryonic primary cultures, we demonstrate that AMA is a secreted protein. Furthermore, AMA is necessary for NRT-expressing cells both to aggregate with themselves and to associate with embryonic primary culture cells. Aggregation assays performed with truncated NRT molecules reveal that the integrity of the cholinesterase-like extracellular domain was not required either for AMA binding or for adhesion, with only amino acids 347-482 of the extracellular domain being necessary for both activities. Moreover, the NRT cytoplasmic domain is required for NRT-mediated adhesion, although not for AMA binding. Using an ama-deficient stock, we find that ama function is not essential for viability. Pupae deficient for ama do exhibit defasciculation defects of the ocellar nerves similar to those found in nrt mutants.     

Gene Genealogies within Mutant Allelic Classes

A coalescent theory of the gene genealogy within an allelic class that arises by a unique mutational event is developed and analyzed. To interpret this theory it was necessary to expand on existing theory for populations of varying size. Two features of the gene genealogy--the average pairwise distance and the total tree length--within the mutant class and within the nonmutant class are found. An index, I, is proposed that describes the extent to which a genealogy is similar to one from a population of constant size (for which I = 0) or to a star genealogy (for which I = 1). The value of I is positive in growing populations and is generally positive for the gene genealogy for the mutant class. The value of I is negative for a population decreasing in size and for the nonmutant class, if the mutant arose recently. The results are discussed in the context of the infinite sites model of mutation, which is appropriate for nucleotide sequence data, and the generalized stepwise mutation model, which is appropriate for microsatellite loci. The same genealogical methods are used to find the probability of at least one recombination event between a nucleotide that defines an allelic class and a marker at a nearby linked site.     

A simpler, more general method of finding the optimal foraging strategy for Bayesian birds

Oaten's (1977) stochastic model for optimal foraging in patches has been solved for a number of particular cases. A few cases, such as Poisson prey distribution and either systematic or random search, are easy to solve. In other cases, such as binomial prey distribution and random search, the form of the optimal strategy may be found using a theorem of McNamara, although more work is required to find which particular rule of the proper form is actually best. More generally (but not completely generally), optimal strategies may be found using dynamic programming. This requires that the number of prey found up to a particular time is a sufficient statistic for the number of prey remaining in a patch. This requirement cannot be dispensed with, but other simplifying assumptions that were used in the past are not necessary. In particular, it is not necessary, even for the sake of convenience, to assume that prey distribution has a form convenient for Bayesian analysis, such as a beta mixture of binomials or a gamma mixture of Poissons. Any prey distribution may be used if whatever prey are in a patch are located at random, and if search either is systematic for discrete time or for continuous time, or is random for continuous time. In earlier work, some pains had to be taken to find the rate of finding prey achieved by a given candidate strategy, but this is not necessary if expected gains and expected times are calculated routinely for each potential stopping point during dynamic programming. A new, simple method of finding optimal strategies is illustrated for discrete time and systematic search. This paper is based on a talk given at the Fifth Hans Kristiansson Symposium held in Lund, Sweden in August, 2003. The subject of the symposium was Bayesian foraging.     

An approximation method for the determination of diffusion and permeability coefficients in nerve trunks

A recently introduced approximation method is applied in order to obtain an expression for the amount of a substance remaining within a nerve at any time, the nerve having been soaked for a long time in a solution containing the substance until the time zero when it is bathed in the same solution but without the substance. The case of a uniform nerve without a sheath leads to substantially the same results as previously obtained by A. V. Hill (1928) for this case. A solution is given for the case of a nerve without sheath but having fibers which are permeable. In this case it is shown how an effective diffusion coefficient for the interstitial fluid can be obtained, as well as the effective inward and outward fiber permeabilities. A solution is given for the case of a nerve with a sheath in which the substance considered does not penetrate the fibers, and it is shown how the effective diffusion coefficients of the sheath and the interstitial fluid can be obtained.     

Orientational relaxation time of bottom-heavy squirmers in a semi-dilute suspension

One of the important quantities to characterize unsteady behaviour of a cell suspension is the orientational relaxation time, which is the time scale for a micro-organism to re-orientate to its preferred direction from disorientated conditions. In this paper, a swimming micro-organism is modelled as a squirming sphere with prescribed tangential surface velocity, in which the centre of mass of the sphere is displaced from the geometric centre (bottom-heaviness). The orientational relaxation time of bottom-heavy squirmers in a suspension is investigated both analytically and numerically. The three-dimensional movement of 64 identical squirmers in a fluid otherwise at rest, contained in a cube with periodic boundary conditions, is dynamically computed, for random initial positions and orientations. The effects of volume fraction of squirmers, the bottom-heaviness and the squirming mode on the relaxation time are discussed. The results for a semi-dilute suspension show that both the mean stresslet strength and the orientational relaxation time decrease from those for a dilute suspension. We also observe a stress overshoot in some cases. The mechanism for this is different from that for a visco-elastic fluid, and is explained by the change with time of the orientation of squirmers.