Properties of the transfer functions of compartmental models

This paper is concerned with the nonlinear system of algebraic equations relating the positive parameters of a linear time-invariant compartmental model to its transfer function coefficients. The general form that these equations must take is shown, and simple necessary conditions for the existence of positive solutions are given. An immediate use of these conditions is the development of necessary conditions for a polynomial with positive coefficients to have negative roots. A method is then outlined which triangularizes the system and reduces the complete solution problem to one of finding and counting roots of a polynomial. Sufficient conditions for the existence of real and positive solutions are demonstrated.     

Variable helper effects, ecological conditions, and the evolution of cooperative breeding in the acorn woodpecker

The ecological conditions leading to delayed dispersal and helping behavior are generally thought to follow one of two contrasting scenarios: that conditions are stable and predictable, resulting in young being ecologically forced to remain as helpers (extrinsic constraints and the habitat saturation hypothesis), or that conditions are highly variable and unpredictable, leading to the need for helpers to raise young, at least when conditions are poor (intrinsic constraints and the hard life hypothesis). We investigated how variability in ecological conditions influences the degree to which helpers augment breeder fitness in the cooperatively breeding acorn woodpecker (Melanerpes formicivorus), a species in which the acorn crop, territory quality, and prior breeding experience all vary in ways that have important effects on fitness. We found that the relationship between ecological conditions and the probability that birds would remain as helpers was variable but that helpers generally yielded greater fitness benefits when ecological conditions were favorable, rather than unfavorable, for breeding. These results affirm the importance of extrinsic constraints to delayed dispersal and cooperative breeding in this species, despite its dependence on a highly variable and unpredictable acorn crop. Our findings also confirm that helpers can have very different fitness effects, depending on conditions, but that those effects are not necessarily greater when breeding conditions are unfavorable.     

Cytometric aspects of the leaves of the halophyte Suaeda maritima

An analysis of the frequency of occurrence of chloroplasts, mitochondria and microbodies in leaf cells of the halophyte Sueda maritima (L.) Dum, showed a remarkable increase (almost a doubling) in the number of mitochondria per cell section when plants were grown in saline (340 mol m⁻³ NaCl) as opposed to non-saline conditions. Chloroplast and microbody volume per cell increased under saline conditions, but number per cell was insensitive to salt. Chloroplasts contained a greater number of starch grains in plants grown under saline as compared to non-saline conditions and, under both conditions, were closely associated with the cell wall adjacent to the intercellular spaces. The implications for growth, photosynthesis and respiration are discussed.     

Kinematics and kinetics of the racket-arm during the soft-tennis smash under match conditions

The purposes of this study were to (a) describe the racket-arm kinematics and kinetics of the soft-tennis smash during match rallies, and (b) assess the characteristics of this smash vs. the laboratory-simulated smash of our previous study. In the current study we recorded soft-tennis smash motions during match play of the 3rd East Asian Games. Racket-arm anatomical joint angular velocity and anatomical joint torque were calculated from 3-D coordinate data of 13 collected motions obtained using the direct linear transformation procedure. The results showed that most of the maximum values of the anatomical joint torques were qualitatively smaller than those of the tennis serve. Peak elbow extension, shoulder internal rotation, and elbow varus torques in match play were significantly greater than values reported for laboratory-simulated conditions. The greater forward swing torques did not result in significantly different racket head velocity, possibly because there was a significantly shorter forward swing phase in match conditions. In particular, a clear peak of the elbow extension torque during the forward swing phase was the most characteristic pattern in the smashes under match conditions, for it was 160% greater than laboratory-simulated conditions. These results supported our hypothesis that racket-arm kinematic and kinetic characteristics of the smash under match conditions differ from those under laboratory-simulated conditions. Possible explanations include the time-pressure conditions of the competitive situation in a match, and the Hawthorne effect (Hudson et al., 1986), both of which alter performance between match conditions and laboratory-simulated conditions.     

Quantitative paleo-estimation: hypothetical experiments with extrapolation and the no-analog problem

We experiment with artificial data to test the response of five numerical techniques in extrapolating paleo-environments for no-analog conditions. No-analog conditions are those beyond the technique calibration (modern) data set and will be encountered in applications to the geologic past, though they may not be easy to recognize. In the ideal, a numerical technique will correctly extrapolate to no-analog conditions. Failing this, the technique will have a consistent, predictable error response to increasing no-analog conditions, as these are measured by a reliable index. The no-analog conditions that we used are a natural extension of the calibration conditions we created. Thus we test techniques for their response to shifting environmental conditions rather than for factors unrelated to the ecology of the taxa (e.g. post-depositional fossil preservation). Five numerical techniques we test with our hypothetical data are (1) multivariate regression of species percents, (2) correlation-based principal components with linear regression, (3) covariance-based principal components with linear regression, (4) correlation-based principal components with non-linear regression, and (5) the Imbrie and Kipp technique. All the techniques show increasing estimation error as conditions depart from those of the calibration data set. There are two main causes of error in our estimates: (1) the distorting effects of matrix closure on taxon abundances; and (2) generation of ratio no-analogs among species abundances because of non-linear responses to conditions departing progressively from the calibration range. With all the techniques, the distribution of error for no-analog conditions is complex. Non-linear regression with factors shows the least predictable error response. We found that currently developed no-analog indicators do not have a good correlation to estimation error. This means that better indicators, more closely linked to the accuracy of estimates, need to be developed.     

Influence of redox potential on the anaerobic biotransformation of nitrogen-heterocyclic compounds in anoxic freshwater sediments

The potential for degradation of four nitrogen-heterocyclic compounds was investigated in fresh-water sediment slurries maintained under denitrifying, sulfate-reducing, and methanogenic conditions. Pyridine (10 mg/l) was rapidly transformed within 4 weeks under denitrifying conditions but persisted for up to 3 months under sulfate-reducing and methanogenic conditions. No intermediate biotransformation products of pyridine metabolism were detected under denitrifying conditions. Quinoline (10 mg/l) was completely transformed without a lag phase under methanogenic and sulfate-reducing conditions after incubation for 23 and 45 days, respectively. 2-Hydroxyquinoline was produced concomitantly with quinoline transformation under methanogenic and sulfate-reducing conditions. Under denitrifying conditions, less than 23% of the initial concentration of quinoline was transformed after anaerobic incubation for 83 days. Indole, however, was completely removed from sediment slurries under denitrifying, sulfate-reducing, and methanogenic conditions after anaerobic incubation for 18, 27, and 17 days, respectively. Only low amounts of oxindole (2–4 mg/l) accumulated during indole metabolism under methanogenic and denitrifying conditions, but under sulfate-reducing conditions, oxindole accumulation was stoichiometric with indole transformation. No evidence for biotransformation of carbazole was noted for all anaerobic conditions tested.     

Validation of the Fiala multi-node thermophysiological model for UTCI application

The important requirement that COST Action 730 demanded of the physiological model to be used for the Universal Thermal Climate Index (UTCI) was its capability of accurate simulation of human thermophysiological responses across a wide range of relevant environmental conditions, such as conditions corresponding to the selection of all habitable climates and their seasonal changes, and transient conditions representing the temporal variation of outdoor conditions. In the first part of this study, available heat budget/two-node models and multi-node thermophysiological models were evaluated by direct comparison over a wide spectrum of climatic conditions. The UTCI-Fiala model predicted most reliably the average human thermal response, as shown by least deviations from physiologically plausible responses when compared to other models. In the second part of the study, this model was subjected to extensive validation using the results of human subject experiments for a range of relevant (steady-state and transient) environmental conditions. The UTCI-Fiala multi-node model proved its ability to predict adequately the human physiological response for a variety of moderate and extreme conditions represented in the COST 730 database. The mean skin and core temperatures were predicted with average root-mean-square deviations of 1.35 ± 1.00°C and 0.32 ± 0.20°C, respectively.     

Regulation of the cAMP level in the yeast Saccharomyces cerevisiae: the glucose-induced cAMP signal is not mediated by a transient drop in the intracellular pH

Addition of glucose to derepressed cells of the yeast Saccharomyces cerevisiae is known to cause a rapid, transient increase in the cAMP level, which lasts for 1-2 min and induces a cAMP-dependent protein phosphorylation cascade. The glucose-induced cAMP signal cannot be explained solely on the basis of an increased ATP level. Transient membrane depolarization and transient intracellular acidification have been suggested as possible triggers for the cAMP peak. Addition of glucose to cells in which the plasma membrane had been depolarized still produced the increase in the cAMP level excluding membrane depolarization as the possible trigger. Using in vivo 31P NMR-spectroscopy we followed phosphate metabolism and the time course of the drop in the intracellular pH after addition of glucose with a time resolution of 15 s. Under aerobic conditions the initial pH and ATP level were high. On addition of glucose, they both showed a rapid, transient drop, which lasted for about 30 s. Under anaerobic conditions, the initial pH and ATP level were low and on addition of glucose they both increased relatively slowly compared to aerobic conditions. Several conditions were found in which the pH drop which occurs under aerobic conditions could be blocked completely without effect on the cAMP signal or without completely preventing it: addition of NH4Cl together with glucose at high extracellular pH and addition of a low concentration of glucose before a high concentration. Also, when glucose was added twice to the same cells no consistent relationship was observed between the pH drop and the cAMP peak. These results appear to exclude transient intracellular acidification as the trigger for the cAMP signal. Hence, we conclude that the effect of glucose cannot be explained on the basis of effects known to be caused by the membrane depolarizing compounds which cause increases in the cAMP level. A new, more specific kind of interaction appears to be involved.     

Functional properties of the anaerobic responsive element of the maize Adh1 gene

The functional properties of the anaerobic responsive element (ARE) of the maize Adh1 gene have been analysed using a transient expression assay in electroporated maize protoplasts. The ARE functions in both orientations although inversion of the ARE sequence relative to the TATA box element produces slightly weaker promoter activity under anaerobic conditions and elevated expression under aerobic conditions. Promoter activity under anaerobic conditions is proportional to the number of complete ARE sequences in the Adh1 promotor. The ARE contains two sub-regions and dimers of sub-region II are as efficient as the wild-type sequence in activating gene expression under anaerobic conditions. However, sub-region I dimers do not appear capable of inducing gene expression in response to anaerobic stress. We conclude that sub-region II is essential for anaerobic induction of gene expression. Reporter gene expression remains constant when the spacing between sub-regions of the ARE is increased up to at least 64 bp, but increased spacing of 136 bp or greater abolishes expression in both aerobic and anaerobic conditions, indicating that a close association of the two sub-regions is required both for anaerobic responsiveness and for maximal levels of aerobic gene expression. When the ARE is placed upstream of position –90 of the CaMV 35S promoter, the ARE produces a high level of expression in both aerobic and anaerobic conditions. The general enhancement of gene expression driven by the hybrid ARE/35S promoter in aerobic conditions requires an intact sub-region II motif since mutation or deletion of sub-region II from the hybrid promoter reduces the level of expression to that observed for the truncated 35S promoter alone. In addition, mutation of the sub-region I sequences in the ARE/35S hybrid promoter does not significantly reduce expression in aerobic conditions, relative to pARE/35S(-90), suggesting that sub-region I does not contribute to this general enhancer function.     

Improved secondary metabolite production in the genus Streptosporangium by optimization of the fermentation conditions

The cultivation of strains of the genus Streptosporangium in batch fermentations demonstrated that the optimal conditions for secondary metabolite production are completely different to those of the closely related genus Streptomyces. The dissolved oxygen tension (pO(2)) was identified as an important parameter for optimal production of secondary metabolites in submerged cultures. Extreme variations of this parameter by changes in aeration (gas flow), agitation system and stirrer speed showed a tremendous impact in production yields of all investigated strains. Finally, a 20-fold increase in productivity was observed by conditions of controlled oxygen excess compared to optimal fermentation conditions for Streptomyces strains.     

Adaptation to marginal habitats: contrasting influence of the dispersal rate on the fate of alleles with small and large effects

The focus of this paper is the relationship between the dispersal rate and the conditions for invasion of a rare allele that improves performance in a marginal sink habitat at the expense of reducing fitness in the main source habitat. Classic multiple-niche population-genetic models predict that the conditions for the invasion of such an allele always become more favourable as the dispersal rate decreases. Precisely the opposite prediction was reached in demographic fitness-sensitivity studies. This study reconciles those contradictory predictions and identifies the assumptions responsible for the discrepancy. I show that whether a lower dispersal rate makes the conditions for the invasion of the allele more or less stringent depends on the magnitude of the effects of the allele. If the effect is large relative to the degree of maladaptedness of the original genotype to the marginal habitat, the conditions become less stringent with decreasing dispersal rate. The opposite is the case for mutations with very small effects. For a broad range of mutations with intermediate effects the conditions are most stringent under an intermediate dispersal rate.     

Disability Mediates the Impact of Common Conditions on Perceived Health

Background

We examined the extent to which disability mediates the observed associations of common mental and physical conditions with perceived health.

Methods and Findings

WHO World Mental Health (WMH) Surveys carried out in 22 countries worldwide (n = 51,344 respondents, 72.0% response rate). We assessed nine common mental conditions with the WHO Composite International Diagnostic Interview (CIDI), and ten chronic physical with a checklist. A visual analog scale (VAS) score (0, worst to 100, best) measured perceived health in the previous 30 days. Disability was assessed using a modified WHO Disability Assessment Schedule (WHODAS), including: cognition, mobility, self-care, getting along, role functioning (life activities), family burden, stigma, and discrimination. Path analysis was used to estimate total effects of conditions on perceived health VAS and their separate direct and indirect (through the WHODAS dimensions) effects.Twelve-month prevalence was 14.4% for any mental and 51.4% for any physical condition. 31.7% of respondents reported difficulties in role functioning, 11.4% in mobility, 8.3% in stigma, 8.1% in family burden and 6.9% in cognition. Other difficulties were much less common. Mean VAS score was 81.0 (SD = 0.1). Decrements in VAS scores were highest for neurological conditions (9.8), depression (8.2) and bipolar disorder (8.1). Across conditions, 36.8% (IQR: 31.2–51.5%) of the total decrement in perceived health associated with the condition were mediated by WHODAS disabilities (significant for 17 of 19 conditions). Role functioning was the dominant mediator for both mental and physical conditions. Stigma and family burden were also important mediators for mental conditions, and mobility for physical conditions.

Conclusions

More than a third of the decrement in perceived health associated with common conditions is mediated by disability. Although the decrement is similar for physical and mental conditions, the pattern of mediation is different. Research is needed on the benefits for perceived health of targeted interventions aimed at particular disability dimensions.     

Differences in the carbohydrate composition between the yeastlike and mycelial cells of Mucor hiemalis

The use of sporangiospores from a 20-day culture for inoculation enabled us to obtain yeastlike cells of strain Mucor hiemalis F-1431 (for which capacity for dimorphic growth was not previously studied) by cultivation in liquid medium under aerobic conditions. The carbohydrate composition of the fat-free biomass of the mycelial and yeastlike forms grown in the same culture under aerobic conditions was studied. In the fat-free biomass consisting of yeastlike cells, as compared to the mycelium, the contents of chitin and glucose decreased from 25 and 30.9% of dry biomass to 14 and 17.5% of dry biomass, respectively. We failed to detect any changes in the contents of fucose, galactose, mannose, and uronic acids among the heteropolysaccharide monomers of fungal cells of different morphotypes, which is probably due to the aerobic cultivation conditions. It was suggested that the composition of heteropolysaccharide monomers does not play such a significant role in the formation of yeastlike cells in the culture grown under aerobic conditions as the content of chitin, the main supporting biopolymer.     

Boundary conditions for the electromagnetic field in a waveguide with a thin-walled annular plasma in the context of application to plasma microwave electronics

Effective boundary conditions for the electromagnetic field of the slow surface waves of a thinwalled annular plasma in a metal waveguide are derived and justified. With the boundary conditions obtained, there is no need to solve field equations in the plasma region of the waveguide, so that the dispersion properties of plasma waveguides can be investigated analytically for an arbitrary strength of the external magnetic field. Examples are given that show how to use the effective boundary conditions in order to describe surface waves with a normal and an anomalous dispersion. The boundary conditions are then employed to construct a theory of the radiative Cherenkov instabilities of a thin-walled annular electron beam in a waveguide with a thinwalled annular plasma. The single-particle and collective Cherenkov effects associated with low-and high-frequency surface waves in an arbitrary external magnetic field are studied analytically. The method of the effective boundary conditions is justified in the context of application to the problems of plasma relativistic microwave electronics.     

Fuel shapes the fire–climate relationship: evidence from Mediterranean ecosystems

Aim To understand how vegetation mediates the interplay between fire and climate. Specifically, we predict that neither the switching of climatic conditions to high flammability nor the sensitivity of fire to such conditions are universal, but rather depend on fuel (vegetation) structure, which in turn changes with productivity. Location An aridity/productivity gradient on the Iberian Peninsula (Mediterranean Basin). Methods We defined 13 regions distributed along an aridity gradient, which thus differ in productivity and fuel structure. We then assessed the changes in the temporal fire–climate relationship across regions. Specifically, for each region we estimated three variables: the aridity level for switching to flammable conditions (i.e. climatic conditions conducive to fire), the frequency of these flammable conditions and the area burnt under such conditions. These variables were then related to regional aridity and fuel structure indicators. Results In mediterranean ecosystems, the aridity level for switching to flammable conditions increased along the aridity gradient. Differences in fire activity between regions were not explained by the frequency of flammable conditions but by the sensitivity of fire to such conditions, which was higher in wetter and more productive regions. Main conclusions Under mediterranean climatic conditions, fuel structure is more relevant in driving fire activity than the frequency of climatic conditions conducive to fire. At a global scale, fuel also drives the fire–climate relationship because it determines the climatic (aridity) threshold for switching to flammable conditions. Our results emphasize the role of landscape structure in shaping current and future fire–climate relationships at a regional scale, and suggest that future changes in the fire regime (i.e. under global warming) might be different from what it is predicted by climate alone.     

Optimization of technical conditions for the transformation of Lactobacillus acidophilus strains by electroporation

AIMS: To optimize the conditions for electroporating foreign plasmid DNA into Lactobacillus acidophilus ATCC 43121. METHODS AND RESULTS: The conditions of electroporation were optimized to improve the transformation efficiency. Plasmid pNZ123 containing multicloning site and chloramphenicol resistance was employed to construct a cloning vector. The optimum electroporation conditions for the maximum transformation efficiency were a pulse strength of 12.5 kV cm(-1), a pulse number of 10, a pulse interval of 500 ms, and pNZ123 plasmid DNA concentration of 25 ng microl(-1). Under the optimum conditions the transformation efficiency of L. acidophilus ATCC 43121 was 1.84 +/- 0.13 x 10(4) (+/- standard error of measurements) CFU per mug of plasmid DNA. Other strains of L. acidophilus showed transformation efficiencies ranging from 1.38 +/- 0.02 x 10(4) to 9.32 +/- 0.54 x 10(4) under these conditions. A green fluorescent protein (GFP) was successfully expressed and detected by fluorescence microscopy when the pKU::slpA-GFP, pNZ123 containing GFP gene, was transformed in L. acidophilus ATCC 43121 under the optimum conditions. CONCLUSIONS: The results suggest that electrical parameters, antibiotic concentration, and host specificity play important roles to determine transformation efficiency of lactobacilli. The optimum conditions for the transformation of L. acidophilus ATCC 43121 may be applied to improve transformation efficiency of other lactobacilli. SIGNIFICANCE AND IMPACT OF THE STUDY: The optimized conditions for electrotransformation may provide a mean to improve the introduction of foreign DNA into L. acidophilus to be used as a vehicle for a heterologous protein expression.     

Factors influencing the replication of somatic coliphages in the water environment

The potential replication of somatic coliphages in the environment has been considered a drawback for their use as viral indicators, although the extent to which this affects their numbers in environmental samples has not been assessed. In this study, the replication of somatic coliphages in various conditions was assayed using suspensions containing naturally occurring somatic coliphages and Escherichia coli WG5, which is a host strain recommended for detecting somatic coliphages. The effects on phage replication of exposing strain WG5 and phages to a range of physiological conditions and the effects of the presence of suspended particles or other bacteria were also assayed. Phage replication was further tested using a strain of Klebsiella terrigena and naturally occurring E. coli cells as hosts. Our results indicate that threshold densities of both host bacterium and phages should occur simultaneously to ensure appreciable phage replication. Host cells originating from a culture in the exponential growth phase and incubation at 37 degrees C were the best conditions for phage replication in E. coli WG5. In these conditions the threshold densities required to ensure phage replication were about 10(4) host cells/ml and 10(3) phages/ml, or 10(3) host cells/ml and 10(4) phages/ml, or intermediate values of both. The threshold densities needed for phage replication were higher when the cells proceeded from a culture in the stationary growth phase or when suspended particles or other bacteria were present. Furthermore E. coli WG5 was more efficient in supporting phage replication than either K. terrigenae or E. coli cells naturally occurring in sewage. Our results indicate that the phage and bacterium densities and the bacterial physiological conditions needed for phage replication are rarely expected to be found in the natural water environments.     

Effect of flow pulsatility on modeling the hemodynamics in the total cavopulmonary connection

Total cavopulmonary connection is the result of a series of palliative surgical repairs performed on patients with single ventricle heart defects. The resulting anatomy has complex and unsteady hemodynamics characterized by flow mixing and flow separation. Although varying degrees of flow pulsatility have been observed in vivo, non-pulsatile (time-averaged) boundary conditions have traditionally been assumed in hemodynamic modeling, and only recently have pulsatile conditions been incorporated without completely characterizing their effect or importance. In this study, 3D numerical simulations with both pulsatile and non-pulsatile boundary conditions were performed for 24 patients with different anatomies and flow boundary conditions from Georgia Tech database. Flow structures, energy dissipation rates and pressure drops were compared under rest and simulated exercise conditions. It was found that flow pulsatility is the primary factor in determining the appropriate choice of boundary conditions, whereas the anatomic configuration and cardiac output had secondary effects. Results show that the hemodynamics can be strongly influenced by the presence of pulsatile flow. However, there was a minimum pulsatility threshold, identified by defining a weighted pulsatility index (wPI), above which the influence was significant. It was shown that when wPI<30%, the relative error in hemodynamic predictions using time-averaged boundary conditions was less than 10% compared to pulsatile simulations. In addition, when wPI<50, the relative error was less than 20%. A correlation was introduced to relate wPI to the relative error in predicting the flow metrics with non-pulsatile flow conditions.     

Transformation of the substrate specificity of EcoRI restrictase under the influence of glycerin]

The restriction endonuclease EcoRI hydrolyzes DNA to a greater number of fragments in the presence of glycerol than under normal conditions. This enzyme begins to work by the so-called EcoRI-type of restriction when glycerol concentration reaches 50%. The EcoRI activity appeared in experiments only when the ionic strength of the solution was decreased and pH of the solution was increased. However, under such extreme conditions the enzyme was quickly inactivated and it was difficult to obtain reproducible results especially for hydrolysis of the high-molecular DNA. The suggested conditions for the EcoRI activity permit to obtain reproducible results, this being practically equivalent to discovery of the new restriction endonuclease.     

Predicting the population dynamics of the house dust mite Dermatophagoides pteronyssinus (Acari: Pyroglyphidae) in response to a constant hygrothermal environment using a model of the mite life cycle

A generalised model of the life cycle of a house dust mite, which can be tailored to any particular species of domestic mite, is presented. The model takes into account the effects of hygrothermal conditions on each life cycle phase. It is used in a computer simulation program, called POPMITE, which, by incorporating a population age structure, is able to predict population dynamics. The POPMITE simulation is adapted to the Dermatophagoides pteronyssinus (Acari: Pyroglyphidae) (DP) mite using published data on the egg development period, total development period, adult longevity, mortality during egg development, mortality during juvenile development, and fecundity of individual DP mites held at a range of constant hygrothermal conditions. An example is given which illustrates how the model functions under constant hygrothermal conditions. A preliminary validation of POPMITE is made by a comparison of the POPMITE predictions with published measurements of population growth of DP mites held at a range constant hygrothermal conditions for 21 days. The POPMITE simulation is used to provide predictions of population growth or decline for a wide range of constant relative humidity and temperature combinations for 30 and 60 days. The adaptation of the model to correctly take account of fluctuating hygrothermal conditions is discussed.