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Fidelity decay as an efficient indicator of quantum chaos.

We demonstrate that a system's rate of fidelity decay under repeated perturbations may be measured efficiently on a quantum information processor, and analyze the conditions under which this indicator is a reliable probe of quantum chaos. The type and rate of the decay are not dependent on the eigenvalue statistics of the unperturbed system, but depend on the system's eigenvector statistics in the eigenbasis of the perturbation. For random eigenvector statistics, the decay is exponential with a rate fixed by the variance of the perturbation's energy spectrum. Hence, even classically regular models can exhibit an exponential fidelity decay under generic quantum perturbations. These results clarify which perturbations can distinguish classically regular and chaotic quantum systems.

Journal Article↗

Adaptation kinetics in bacterial chemotaxis.

Cells of Escherichia coli, tethered to glass by a single flagellum, were subjected to constant flow of a medium containing the attractant alpha-methyl-DL-aspartate. The concentration of this chemical was varied with a programmable mixing apparatus over a range spanning the dissociation constant of the chemoreceptor at rates comparable to those experienced by cells swimming in spatial gradients. When an exponentially increasing ramp was turned on (a ramp that increases the chemoreceptor occupancy linearly), the rotational bias of the cells (the fraction of time spent spinning counterclockwise) changed rapidly to a higher stable level, which persisted for the duration of the ramp. The change in bias increased with ramp rate, i.e., with the time rate of change of chemoreceptor occupancy. This behavior can be accounted for by a model for adaptation involving proportional control, in which the flagellar motors respond to an error signal proportional to the difference between the current occupancy and the occupancy averaged over the recent past. Distributions of clockwise and counterclockwise rotation intervals were found to be exponential. This result cannot be explained by a response regular model in which transitions between rotational states are generated by threshold crossings of a regular subject to statistical fluctuation; this mechanism generates distributions with far too many long events. However, the data can be fit by a model in which transitions between rotational states are governed by first-order rate constants. The error signal acts as a bias regulator, controlling the values of these constants.

Aspartic Acid↗

A model study of instability of the inverse problem in electrocardiography.

The inverse problem in electrocardiography is studied analytically using a concentric spheres model with no symmetry assumptions on the potential distribution. The mathematical formulation is presented, and existence and uniqueness of the solution are briefly discussed. Solution to the inverse problem is inherently very unstable. The magnitude of this instability is demonstrated using the derived analytical inverse solution for the spherical model. Regularization methods used to date are based on a regularization parameter that does not relate to any measurable physiological parameters. This paper presents a regularization method that is based on a parameter in the form of an a priori bound on the L2 norm of the inverse solution. Such a bound can be obtained from the theoretical estimates based on the measured values of the body surface potentials together with experimental knowledge about the magnitudes of the epicardial potentials. Based on the presented regularization, an exact form of the regularized solution and estimates of its accuracy are derived.

Electrocardiography↗

Multigate doppler signal analysis using 3-D regularized long AR modelling.

Autoregressive (AR) modelling has already been proposed as an alternative to fast Fourier transform to process ultrasound (US) Doppler signals. Previous works introduced long AR models, set up under a regularization framework. The latter may be in 1-D (frequency) or 2-D (frequency and space or time). This study generalizes the spectrum regularization in the three dimensions frequency, space and time. The problem of the penalization function is addressed, and a new convex solution is proposed, taking into account possible nonstationarity of the Doppler signal. The parameter tuning is based on simulations using a standard Doppler signal model. The first results show that this processing improves the spectral estimation, and is well suited to flow interpretation.

Algorithms↗

Hepatitis B testing among Vietnamese American men.

Vietnamese American men are over 10 times more likely to be diagnosed with liver cancer than their white counterparts. This health disparity is attributable to high rates of hepatitis B virus (HBV) infection. Our study objective was to examine factors associated with HBV testing among Vietnamese men. A population-based survey was conducted in Seattle. The questionnaire content was guided by an earlier qualitative study and the Health Behavior Framework. The survey was completed by 345 men (response rate: 80%). About one-third (34%) of the respondents reported they had not been tested for HBV. The following factors were associated (P < 0.01) with previous testing in bivariate comparisons: having a regular source of care and regular provider; knowing that HBV can be spread during childbirth; believing HBV can cause liver cancer; and doctor(s) had recommended testing as well as had asked doctor(s) for testing. Three variables were independently associated with HBV testing in a logistic regression model: regular source of care (OR = 4.5; 95% CI = 2.6-7.9), physician recommendation (OR = 2.3, 95% CI = 1.3-4.0), and knowing HBV can be spread during childbirth (OR = 2.1; 95% CI = 1.2-3.9). Low levels of HBV testing remain a public health problem in some Vietnamese American sub-groups. Health education about HBV transmission may stimulate patients to seek testing. Intervention programs should specifically target Vietnamese men without a regular source of health care and physicians who serve Vietnamese communities.

Adult↗

Semiparametric animal models via penalized splines as alternatives to models with contemporary groups.

Contemporary groups (CG) are used in genetic evaluation to account for systematic environmental effects of management, nutritional level, or any other differentially expressed group effect; however, because the functional form of the distribution of those effects is unknown, CG serve as an approximation to a time-varying mean. Conversely, in semiparametric models, there is no need to assume any functional form for the time-varying effects. In this research, we present a semiparametric animal model (AMS) using the covariate day of birth (DOB) by means of penalized splines (P-splines), as an alternative to fitting CG. In the AMS, the functionality of the data on DOB is expressed by means of a Basic segmented polynomial line (B-spline) basis, and proper covariance matrices are used to reflect the serial correlation among the points of support (or knots) at different times. Three different covariance matrices that reflect either short- or long-range dependences among knots are discussed. Different models were fitted to birth weight data from Polled Hereford calves. Models compared were an animal model with CG, an animal model with CG and the covariate DOB nested within CG (CG + DOB), and P-splines with the first difference penalty matrix and three different AMS with 20, 40, 60, 80, or 120 knots. Models were compared using a modified Akaike information criterion (AICC), which was calculated as a byproduct of the estimation of variance components by REML using the expectation maximization algorithm. All three AMS had smaller (better) values of AICC than the regular model with CG, while producing almost the same ranking of predicted breeding values and similar average predicted error variance. In all AMS, the inference and all measures of comparison were similar when the number of knots was equal > or = 40. The model CG + DOB had analogous performance to the AMS, but at the expense of using more parameters. It is concluded that the use of penalized regression splines using a B-spline basis with proper covariance matrices is a competitive method to the fitting of CG into animal models for genetic evaluation, without having to assume any functional form for the covariate DOB.

Animals↗

Insulin sensitivity and glucose effectiveness: minimal model analysis of regular and insulin-modified FSIGT.

The minimal model is widely used to evaluate insulin action on glucose disappearance from frequently sampled intravenous glucose tolerance tests (FSIGT). The common protocols are a regular (rFSIGT, single injection of 0.3 g/kg of glucose) and an insulin-modified test (mFSIGT, with an additional insulin administration at 20 min). This study compared the insulin sensitivity index (SI) and glucose effectiveness (SG) obtained in the same individual (16 normal subjects) with the two tests. SI was 7.11 +/- 0.80 10(-4).min-1.microU-1.ml in rFSIGT and 6.96 +/- 0.83 in mFSIGT (P = 0.656), regression r = 0.92, P < 0.0001; SG was 0.0260 +/- 0.0028 min-1 and 0.0357 +/- 0.0052, respectively, statistically different (P = 0.013) but still with a good regression (r = 0.66, P = 0.0051). SG and insulin amount during the early period correlated (r = 0.6, P = 0.015 in rFSIGT and r = 0.76, P = 0.0006 in mFSIGT). In summary, both FSIGTs with minimal model analysis provide the same SI, which is a very robust index. SG was different by 28% due probably to the relationship between SG and the amount of circulating insulin. In studies comparing groups, the simpler rFSIGT can still be used with the advantage of accounting for endogenous insulin, thus offering the possibility of direct inferences on the beta-cell activity.

Adult↗

Periconceptional multivitamin use reduces the risk of preeclampsia.

The objective was to assess the independent effect of regular periconceptional multivitamin use on the risk of preeclampsia. Pregnant women (n=1,835) enrolled in the Pregnancy Exposures and Preeclampsia Prevention Study (Pittsburgh, Pennsylvania, 1997-2001) at less than 16 weeks' gestation were asked whether they regularly used multivitamins or prenatal vitamins in the past 6 months. Women were classified as users or nonusers. The unadjusted prevalence of preeclampsia was 4.4% in nonusers and 3.8% in users. After adjustment for race/ethnicity, marital status, parity, prepregnancy physical activity, and income in a multiple logistic regression model, regular use of multivitamins was associated with a 45% reduction in preeclampsia risk compared with nonuse (odds ratio (OR)=0.55, 95% confidence interval (CI): 0.32, 0.95). Prepregnancy overweight modified this effect. After confounder adjustment, lean multivitamin users had a 71% reduction in preeclampsia risk compared with lean nonusers (OR=0.29, 95% CI: 0.12, 0.65). In contrast, there was no relation between multivitamin use and preeclampsia among overweight women (OR=1.08, 95% CI: 0.52, 2.25). A sensitivity analysis for unmeasured confounding by fruit and vegetable intake supported these conclusions. If confirmed by others, these results suggest that regular use of a multivitamin supplement in the periconceptional period may help to prevent preeclampsia, particularly among lean women.

Adolescent↗

The influence of parental occupation and the pupils' educational level on lifestyle behaviors among adolescents in Belgium.

PURPOSE: To analyze the associations of lifestyle behaviors with educational level and social background based on parental occupation in adolescence. METHODS: Data from secondary school pupils participating in the Belgian (Flemish) Health Behavior in School-aged Children (HBSC) survey of the year 2002 (N = 12,490) were analyzed. Multiple logistic regressions adjusting for age and gender were used to assess the effects of parental occupation and pupil educational level on the selected lifestyle behaviors. RESULTS: Pupils of lower educational level reported less healthy food habits, less teeth brushing, less seatbelt use, more TV watching, more smoking, more drunkenness, more use of hashish, and more lifetime use of Ecstasy. Pupils of parents with lower socioeconomic status (SES) (based on the occupation of the head of the household) reported less healthy food habits, less teeth brushing, more TV watching, and less seatbelt use. Daily smoking and the lifetime use of Ecstasy varied among pupils of different parental occupation, although the effect disappeared when the pupils' educational level was introduced into the models. Regular drunkenness and regular use of hashish did not vary among pupils of different SES backgrounds. However, after controlling for educational level, an effect of parental occupation on regular hashish use became visible, with a higher percentage of regular users among the pupils of higher parental occupation. CONCLUSION: A lower educational level is associated with higher prevalence of indicators of an unhealthy lifestyle. The results are less straightforward for the relationship between SES and lifestyle behaviors.

Adolescent↗

A challenge to current models of past tense inflection: the impact of phonotactics.

Is past tense production better modelled by a Single Mechanism or a Words and Rules model? We present data concerning a phenomenon that has not been considered by either model-regular past tense verbs with contrasting phonotactics. One set of verbs contains clusters at the inflected verb end that also occur in monomorphemic words ('monomorphemically legal clusters', MLC) whereas the other has clusters that can only occur in inflected forms ('monomorphemically illegal clusters', MIC). We argue that if children apply a morphological rule, phonotactics will not affect performance. Conversely, if children store past tense forms, they will perform better on verbs with MLCs because these clusters are more frequent. We investigated three populations--typically developing children, Grammatical-SLI (G-SLI) and Williams Syndrome (WS)--using past tense elicitation tasks. In Experiment 1 we reanalyse data from van der Lely and Ullman [van der Lely, H. K. J. & Ullman, M. (2001). Past tense morphology in specifically language impaired and normally developing children. Language and Cognitive Processes, 16: 177-217] and show that G-SLI children perform better on MLC verbs, whereas for typically developing children phonotactics do not affect performance. In Experiment 2 we replicate these findings in new groups of G-SLI and typically developing children. In Experiment 3 we reanalyse data from Thomas et al. [Thomas, M. S. C., Grant, J., Barham, Z., Gsodl, M., Laing, E., Lakusta, L., Tyler, L.K., Grice, S., Paterson, S. & Karmiloff-Smith, A. (2001) Past tense formation in Williams Syndrome. Language and Cognitive Processes, 16: 143-176] and show that phonotactics do not affect performance in individuals with WS. We argue that the results elucidate the underlying nature of morphology in these populations, and are better accommodated within a Words and Rules model of past tense acquisition.

Humans↗

Evidence for a regular distribution of cholesterol in phospholipid bilayers from diphenylhexatriene fluorescence.

Cholesterol/dimyristoylphosphatidylcholine (DMPC) multilamellar vesicles were studied by steady-state fluorescence using diphenylhexatriene (DPH) as a probe. A series of dips were found in the plot of DPH fluorescence intensity versus cholesterol concentration at certain specific cholesterol concentrations. This observation indicates that there are dominant domains in which cholesterol molecules are regularly distributed on a hexagonal superlattice in the acyl chain matrix of DMPC at critical cholesterol concentrations. These concentrations can be predicted by an equation or a mathematical series, except the one at 33 mol %. These dips of DPH fluorescence intensity are temperature dependent. The excellent agreement between experimental data and calculated values as well as similar previous findings of dips and/or kinks in the excimer-over-monomer fluorescence in pyrenephosphatidylcholine/phospholipid mixtures confirm our conclusion about lateral organizations of cholesterol and acyl lipid chains in cholesterol/phospholipid multilamellar vesicles. The regular distribution model at critical concentration is consistent with the phase diagram of cholesterol/DMPC. Using the model of regular distribution, the physical origin of the liquid-disordered (Ld) phase, liquid-ordered phase (Lo), and coexistence of liquid-disordered phase and Lo phase (Lo + Ld) is discussed on the molecular level.

Cholesterol↗

Asymptotic solutions for the equilibrium crystal shape with small corner energy regularization.

Dynamic models for facet formation often employ a regularization of the surface energy based on a corner energy term. Here we consider the effect of this regularization on the equilibrium shape of a solid particle in two dimensions. Using matched asymptotic expansions we determine the explicit solution for the corner shape in the presence of the regularization. Our results show that for a class of surface energy anisotropy models the regularized solution approaches the classic sharp-corner results as the regularization approaches zero. The results validate the use of the regularization in numerical calculations for the equilibrium problem. Finally, a byproduct of the analysis is an exact solution for the equilibrium shape of a semi-infinite wedge in the presence of the regularization.

Journal Article↗

Mixed micellar aggregates of nonionic and anionic surfactants with short hydrophobic tails: a microcalorimetric study.

Apparent molar relative enthalpies were measured for the nonionic ethoxylated surfactant CH(3)-(CH(2))(5)-(OCH(2)-CH(2))(5)OH (C(6)E(5)) in aqueous solution at constant molality of the ionic surfactant CH(3)-(CH(2))(5)-SO(-)(3)Na(+)(C(6)SNa) at 25 degrees C. The experimental data obtained by a stepwise dilution process allowed evaluation of the C(6)E(5) first interaction parameter at several constant molalities of C(6)SNa. The C(6)E(5) critical micelle composition as a function of the C(6)SNa molality was also estimated. The experimental calorimetric data, together with the mixed micelles composition computed in the past by some of us [Ciccarelli et al., Langmuir 14, 7130 (1998)], allowed computation of the Deltah(Mic) of micellization. The experimental data are compared to those predicted by the ideal solution model and regular solution model of mixed micellization. From a calorimetric study performed on the water-hexanol-C(6)SNa and water-penthaethylene glycol-C(6)SNa model systems, it can be argued that the interactions among the hydrophilic heads in the C(6)E(5)-C(6)SNa mixed micelles prevail on the contribution of the hydrophobic tails in ruling the enthalpic properties of the system.

Journal Article↗

Structure of d(TGCGCG).d(CGCGCA) in two crystal forms: effect of sequence and crystal packing in Z-DNA.

The sequence d(TGCGCG).d(CGCGCA) crystallized in two crystal forms, orthorhombic and hexagonal, in the presence of cobalt hexammine chloride, a known inducer of the left-handed Z-form of DNA. The crystal structures have been solved and refined at 1.71 A resolution in space group P2(1)2(1)2(1) and 2.0 A resolution in space group P6(5). The orthorhombic structure contains one Z-DNA hexamer duplex, while the hexagonal structure contains two hexamer duplexes in the structure. Of the latter, one is situated on a crystallographic sixfold screw axis, leading to disorder. This paper reports the effects of sequence and crystal packing on the structure of Z-type DNA. The structures lend additional support to the authors' earlier conclusion that a stretch of four C.G base pairs is sufficient to nucleate and define the regular model of the left-handed helix based on the structure of d(CGCGCG)2.

Base Pairing↗

Statistical methods in diagnosis.

Motivations are presented for exploring formal statistical methods for use in medical diagnosis and the advantages and disadvantages are discussed. A brief review is presented of classical linear discriminant analysis, quadratic discriminant analysis, logistic regression, nearest neighbour and kernel methods, recursive partitioning methods, the independence model, regularized discriminant analysis, structured conditional probability distributions, methods for categorical data, and other methods. Criteria on which a choice might be made are presented and methods for assessing diagnostic performance are outlined. Particular applications of screening and chromosome analysis are used as illustrations and available software is described.

Bayes Theorem↗

Portrayals of alcohol on prime-time television.

Alcohol portrayals were analyzed for a 3-week composite sample of prime-time fictional television programs aired in the fall of 1986. Approximately 64% of the 195 episodes contained one or more appearances of alcohol. Alcohol was ingested on 50% of all programs. Overall, there were 8.1 alcohol drinking acts per hour. Movies made-for-television had the highest rate of drinking acts per hour (10.0) followed by situation comedies (9.2) and then theatrical movies (7.4) and dramas (7.4). Within the category of dramas, evening soap operas stand out with 13.3 acts per hour. Drinking and nondrinking characters were compared on a number of attributes relevant to role modeling. Regularly appearing characters were more likely to drink than nonregular characters. Drinking characters also tended to be of high status, largely being white, upper-class professionals. A time trend analysis showed a regular increase in alcohol on television from 1976 to 1984, reaching 10.2 acts in 1984. After 1984 the trend appears to reverse.

Alcohol Drinking↗

Vitamin E supplements and risk of prostate cancer in U.S. men.

Supplementation with alpha-tocopherol (a form of vitamin E) was associated with decreased risk of prostate cancer in a randomized trial among Finnish smokers. We examined the association between vitamin E supplement use and prostate cancer incidence in the Cancer Prevention Study II Nutrition Cohort. Participants in the study completed a detailed questionnaire at enrollment in 1992-1993. Historical information was also available from a questionnaire completed in 1982 at enrollment in a previous cohort. Through August 31, 1999, we documented 4,281 cases of incident prostate cancer among 72,704 men. Multivariate-adjusted rate ratios (RRs) were calculated using Cox Proportional Hazards models. Regular vitamin E supplement use (>/=4 times per week) was not associated with overall risk of prostate cancer or with risk of advanced prostate cancer at diagnosis. No trend was seen with increasing dose of vitamin E. Men who reported regular vitamin E use in both 1982 and in 1992-1993 were not at lower risk of prostate cancer. Among current smokers, there was a suggestion of slightly reduced risk with regular vitamin E supplement use [RR = 0.87, 95% confidence interval (CI) = 0.67-1.11]. Our results do not support an important role for vitamin E supplements in prostate cancer prevention.

Aged↗

Increasing the public health effectiveness of fluoridated salt.

This paper aims at assessing the public health potential of salt fluoridation schemes. There is now solid evidence which shows that the cariostatic effectiveness of universal salt fluoridation is equivalent to that of water fluoridation in both the permanent and primary dentition. In countries of continental Europe, only domestic salt is fluoridated, and its consistent use may be expected to warrant a 30% reduction of caries prevalence. However, the effectiveness in the population at large is lower because only part of the population uses the fluoridated domestic salt. Under these conditions, it must be assumed that the effectiveness is further reduced because families in low S-E strata use fluoridated salt (FS) less frequently than those in the higher S-E strata who are known to use preventive methods like toothbrushing twice a day with a fluoride dentifrice more regularly. Model calculations tend to show that in Germany, where FS has reached a market share of 60%, the overall effectiveness is 14% instead of 30%. For France with a market share of 30% of the fluoridated domestic salt, model calculations lead to an overall effectiveness of 8%. In order to obtain a substantial decline of caries in the entire population, it is important to aim for a high market share of the FS of 80%, or preferably 90%. This goal can be reached with a relatively small budget. The task of health ministries would be to promote the switch from unfluoridated salt to FS; however, such promotion is often withheld by health ministries. It is possible, through modest price increases of salt, to finance effective campaigns inducing the majority of the population to use the fluoridated variety. On a world wide scale, fluoridation of salt has established itself as an efficient public health measure. It may be particularly beneficial for developing countries because it is by far the cheapest method and it is compatible with the use of fluoridated toothpastes.

Cariostatic Agents↗