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PubMed2004

DNA trajectory in the Gal repressosome.

The Gal repressosome is a higher-order nucleoprotein complex that represses transcription of the gal operon in Escherichia coli. During the repressosome assembly, a DNA loop is formed by the interaction of two GalR dimers, bound to two spatially separated operators, OE and OI, flanking the gal promoters. Structure-based genetic analysis indicated that GalR homodimers interact directly and form a V-shaped stacked tetramer in repressosome, further stabilized by HU binding to an architecturally critical position on the DNA. In this scheme of GalR tetramerization, the alignment of the operators in the DNA loop could be in either parallel (PL) or antiparallel (AL) mode. As each mode can have two alternative geometries differing in the mutual stacking of the OE- and OI-bound GalR dimers, it is possible to have four different DNA trajectories in the repressosome. Feasibilities of these trajectories were tested by in vitro transcription repression assays, first by isolating GalR mutants with altered operator specificity and then by constructing four different potential loops with mutant GalR heterodimers bound to specifically designed hybrid operators in such a way as to give rise to only one of the four putative trajectories. Results show that OE and OI adopt a mutual antiparallel orientation in an under-twisted DNA loop, consistent with the energetically optimal structural model. In this structure the center of the HU-binding site is located at the apex of the DNA loop. The approach reported here can be used to distinguish between otherwise indistinguishable DNA trajectories in complex nucleoprotein machines.

Bacterial Proteins↗
PubMed2004

Fractal aircraft trajectories and nonclassical turbulent exponents.

The dimension (D) of aircraft trajectories is fundamental in interpreting airborne data. To estimate D, we studied data from 18 trajectories of stratospheric aircraft flights 1600 km long taken during a "Mach cruise" (near constant Mach number) autopilot flight mode of the ER-2 research aircraft. Mach cruise implies correlated temperature and wind fluctuations so that DeltaZ approximately Deltax (H(z) ) where Z is the (fluctuating) vertical and x the horizontal coordinate of the aircraft. Over the range approximately 3-300 km , we found H(z) approximately 0.58+/-0.02 close to the theoretical 5/9=0.56 and implying D=1+ H(z) =14/9 , i.e., the trajectories are fractal. For distances <3 km aircraft inertia smooths the trajectories, for distances >300 km , D=1 again because of a rise of 1 m/km due to fuel consumption. In the fractal regime, the horizontal velocity and temperature exponents are close to the nonclassical value 1/2 (rather than 1/3 ). We discuss implications for aircraft measurements as well as for the structure of the atmosphere.

Journal Article↗
PubMed2006

Multidimensional reactive scattering with quantum trajectories.

Ensembles of quantum trajectories are evolved to study time-dependent reaction dynamics in multidimensional systems with up to 25 vibrational modes. The equations of motion are formulated in curvilinear reaction path coordinates and all coupling terms are retained, including those involving curvature of the reaction path. The model potential is a Gaussian barrier along the translational coordinate coupled to M vibrational modes. Spatial derivatives needed to propagate the trajectories are evaluated by least squares fitting in a contracted basis set. Stable propagation of the trajectory ensembles was carried out until complete bifurcation into reflected and reactive subensembles. The reaction probabilities were evaluated by Monte Carlo integration of the multidimensional smooth transmitted densities. Computational results, including trajectory plots and time-dependent reaction probabilities, are presented for M = 1, 5, and 25 vibrational modes.

Journal Article↗
PubMedDate not supplied

Infants' perception of object trajectories.

Filling in the gaps in what humans see is a fundamental perceptual skill, but little is known about the developmental origins of occlusion perception. Three experiments were conducted with infants between 2 and 6 months of age to investigate perception of the continuity of an object trajectory that was briefly occluded. The pattern of results across experiments provided little evidence of veridical responses to trajectory occlusion in the youngest infants, but by 6 months, perceptual completion was more robust. Four-month-olds' responses indicated that they perceived continuity under a short duration of occlusion, but when the object was out of sight for a longer interval, they appeared to perceive the trajectory as discontinuous. These results suggest that perceptual completion of a simple object trajectory (and, by logical necessity, veridical object perception) is not functional at birth but emerges across the first several months after onset of visual experience.

Female↗
PubMed2004

Thirty-month relapse trajectory cluster groups among adolescents discharged from out-patient treatment.

AIMS: To identify adolescent relapse trajectory groups following discharge from out-patient substance abuse treatment. DESIGN, SETTING AND PARTICIPANTS: Adolescents aged 12-18, who were assigned randomly to one of five out-patient interventions (n = 563) in four United States communities and followed-up 3, 6, 9, 12 and 30 months post-intake. OUTCOME MEASURES: Self-report measures of days using any alcohol or other drugs (AOD), days of alcohol use, days of cannabis use, days of heavy use, days of crack/cocaine use, days of heroin/opiate use, days AOD use interfered with responsibilities and days in a controlled environment. FINDINGS: Adolescents can be grouped empirically into five relapse trajectories over 30 months following out-patient treatment: (a) low AOD use with limited days in a controlled environment; (b) low AOD use with high days in a controlled environment; (c) moderate/decreasing AOD use; (d) increasing AOD use; and (e) consistently high AOD use. CONCLUSIONS: There was considerable heterogeneity in the relapse trajectories, varying by the initial response to treatment, the stability (versus increase/decrease) of the response and an interaction with time in a controlled environment. Cannabis and alcohol were the two main substances involved, although the two groups with the poorest trajectories had increasing levels of cocaine, opiate and other substance use at the 30-month follow-up. This study demonstrates the chronicity of substance use even among a subgroup of adolescents and the importance of studying more complex longitudinal patterns of recovery.

Adolescent↗
PubMed1997

Representations of graphomotor trajectories in the human parietal cortex: evidence for controlled processing and automatic performance.

The aim of this study was to identify the cerebral areas activated during kinematic processing of movement trajectories. We measured regional cerebral blood flow (rCBF) during learning, performance and imagery of right-hand writing in eight right-handed volunteers. Compared with viewing the writing space, increases in rCBF were observed in the left motor, premotor and frontomesial cortex, and in the right anterior cerebellum in all movement conditions, and the increases were related to mean tangential writing velocity. No rCBF increases occurred in these areas during imagery. Early learning of new ideomotor trajectories and deliberately exact writing of letters both induced rCBF increases in the cortex lining the right intraparietal sulcus. In contrast, during fast writing of overlearned trajectories and in the later phase of learning new ideograms the rCBF increased bilaterally in the posterior parietal cortex. Imagery of ideograms that had not been practised previously activated the anterior and posterior parietal areas simultaneously. Our results provide evidence suggesting that the kinematic representations of graphomotor trajectories are multiply represented in the human parietal cortex. It is concluded that different parietal subsystems may subserve attentive sensory movement control and whole-field visuospatial processing during automatic performance.

Adult↗
PubMedDate not supplied

Developmental trajectories of externalizing behaviors in childhood and adolescence.

This article describes the average and group-based developmental trajectories of aggression, opposition, property violations, and status violations using parent reports of externalizing behaviors on a longitudinal multiple birth cohort study of 2,076 children aged 4 to 18 years. Trajectories were estimated from multilevel growth curve analyses and semiparametric mixture models. Overall, males showed higher levels of externalizing behavior than did females. Aggression, opposition, and property violations decreased on average, whereas status violations increased over time. Group-based trajectories followed the shape of the average curves at different levels and were similar for males and females. The trajectories found in this study provide a basis against which deviations from the expected developmental course can be identified and classified as deviant or nondeviant.

Adolescent↗
PubMed2004

Exploring the Williams syndrome face-processing debate: the importance of building developmental trajectories.

BACKGROUND: Face processing in Williams syndrome (WS) has been a topic of heated debate over the past decade. Initial claims about a normally developing ('intact') face-processing module were challenged by data suggesting that individuals with WS used a different balance of cognitive processes from controls, even when their behavioural scores fell within the normal range. Measurement of evoked brain potentials also point to atypical processes. However, two recent studies have claimed that people with WS process faces exactly like normal controls. METHOD: In this paper, we examine the details of this continuing debate on the basis of three new face-processing experiments. In particular, for two of our experiments we built task-specific full developmental trajectories from childhood to adolescence/adulthood and plotted the WS data on these trajectories. RESULTS: The first experiment used photos of real faces. While it revealed broadly equivalent accuracy across groups, the WS participants were worse at configural processing when faces were upright and less sensitive than controls to face inversion. In Experiment 2, measuring face processing in a storybook context, the face inversion effect emerged clearly in controls but only weakly in the WS developmental trajectory. Unlike the controls, the Benton Face Recognition Test and the Pattern Construction results were not correlated in WS, highlighting the different developmental patterns in the two groups. Again in contrast to the controls, Experiment 3 with schematic faces and non-face stimuli revealed a configural-processing deficit in WS both with respect to their chronological age (CA) and to their level of performance on the Benton. CONCLUSION: These findings point to both delay and deviance in WS face processing and illustrate how vital it is to build developmental trajectories for each specific task.

Adolescent↗
PubMed2002

Determinants of serum creatinine trajectory in acute contrast nephropathy.

The aim of this study was to describe the trajectory of creatinine (Cr) rise and its determinants after exposure to radiocontrast media. Included were 98 subjects who underwent cardiac catheterization and were randomized to forced diuresis with i.v. crystalloid, furosemide, mannitol (if pulmonary capillary wedge pressure was < 20 mmHg), and low dose dopamine versus intravenous crystalloid and matching placebos. Baseline and postcatheterization serum Cr levels were analyzed in a longitudinal fashion, allowing for differences in the time between blood draws, to determine the different critical trajectories of serum Cr. The mean age, baseline serum Cr, and Cr clearance (CrCl) were 69.3 +/- 10.8 years, 2.5 +/- 0.9 mg/dL, and 31.4 +/- 12.1 mL/min, respectively. The clinically driven postprocedural observation time was 5.5 +/- 5.1 days (range 19 hours and one Cr value to 25.7 days and 18 values). The mean maximum Cr was 3.3 +/- 1.4, range 1.7-8.7 mg/dL). Longitudinal models support baseline Cr clearance predictions for the change in Cr at 24 hours, time as the determinant of Cr trajectory, and requisite monitoring. For any given individual, a rise in Cr of < or = 0.5 mg/dL in the first 24 hours after contrast exposure predicted a favorable outcome. Baseline renal function is the major determinant of the rate of rise, height, and duration of Cr trajectory after contrast exposure. Length of observation and frequency of laboratory measures can be anticipated from these models.

Acute Kidney Injury↗
PubMed1994

Computing body segment trajectories in the Hybrid III dummy using linear accelerometer data.

An analytical method was developed and tested using several mini-sled and Hyge sled tests to calculate the planar trajectory of a Hybrid III dummy head. Aimed at expediting the Hybrid III test analyses, it may provide an opportunity for cost savings through reduced hardware and manpower on film analyses. Transformation from the moving coordinate to the laboratory coordinate is based on the angular positions integrated from the derived angular accelerations. Gravitational correction of the linear accelerometers was found to be insignificant. The computed head trajectories were compared to the ones obtained from the high speed film images. Accuracy of the calculated head trajectory relies heavily on the accuracy of the computed angular acceleration. Strain-gaged accelerometers are not dependable at all times during an impact and an ill-behaved signal for a very short period may create a significant drift in computed displacement due to double integrations. Accuracy of the currently available accelerometers is not high enough for an angular displacement calculation. A new generation of accelerometers with higher accuracy, or an angular velocity sensor may provide more accurate angular displacement for trajectory analyses. The redundancy of the in-line accelerations helps improve the isolation of erroneous outputs and improve accuracy of the procedure.

Acceleration↗
PubMed2004

Leaf trajectory verification during dynamic intensity modulated radiotherapy using an amorphous silicon flat panel imager.

An independent verification of the leaf trajectories during each treatment fraction improves the safety of IMRT delivery. In order to verify dynamic IMRT with an electronic portal imaging device (EPID), the EPID response should be accurate and fast such that the effect of motion blurring on the detected moving field edge position is limited. In the past, it was shown that the errors in the detected position of a moving field edge determined by a scanning liquid-filled ionization chamber (SLIC) EPID are negligible in clinical practice. Furthermore, a method for leaf trajectory verification during dynamic IMRT was successfully applied using such an EPID. EPIDs based on amorphous silicon (a-Si) arrays are now widely available. Such a-Si flat panel imagers (FPIs) produce portal images with superior image quality compared to other portal imaging systems, but they have not yet been used for leaf trajectory verification during dynamic IMRT. The aim of this study is to quantify the effect of motion distortion and motion blurring on the detection accuracy of a moving field edge for an Elekta iViewGT a-Si FPI and to investigate its applicability for the leaf trajectory verification during dynamic IMRT. We found that the detection error for a moving field edge to be smaller than 0.025 cm at a speed of 0.8 cm/s. Hence, the effect of motion blurring on the detection accuracy of a moving field edge is negligible in clinical practice. Furthermore, the a-Si FPI was successfully applied for the verification of dynamic IMRT. The verification method revealed a delay in the control system of the experimental DMLC that was also found using a SLIC EPID, resulting in leaf positional errors of 0.7 cm at a leaf speed of 0.8 cm/s.

Algorithms↗
PubMed2003

Trajectory clustering: a non-parametric method for grouping gene expression time courses, with applications to mammary development.

Trajectory clustering is a novel and statistically well-founded method for clustering time series data from gene expression arrays. Trajectory clustering uses non-parametric statistics and is hence not sensitive to the particular distributions underlying gene expression data. Each cluster is clearly defined in terms of direction of change of expression for successive time points (its 'trajectory'), and therefore has easily appreciated biological meaning. Applying the method to a dataset from mouse mammary gland development, we demonstrate that it produces different clusters than Hierarchical, K-means, and Jackknife clustering methods, even when those methods are applied to differences between successive time points. Compared to all of the other methods, trajectory clustering was better able to match a manual clustering by a domain expert, and was better able to cluster groups of genes with known related functions.

Algorithms↗
PubMed2003

Modeling and production of robot trajectories using the Temporal Parametrized Self Organizing Maps.

In this paper we proposed an unsupervised neural architecture, called Temporal Parametrized Self Organizing Map (TEPSOM), capable of learning and reproducing complex robot trajectories and interpolating new states between the learned ones. The TEPSOM combines the Self-Organizing NARX (SONARX) network, responsible for coding the temporal associations of the robotic trajectory, with the Parametrized Self-Organizing (PSOM) network, responsible for an efficient interpolation mechanism acting on the SONARX neurons. The TEPSOM network is used to model the inverse kinematics of the PUMA 560 robot during the execution of trajectories with repeated states. Simulation results show that the TEPSOM is more accurate than the SONARX in the reproduction of the learned trajectories.

Algorithms↗
PubMed2004

A unifying statistical model for QTL mapping of genotype x sex interaction for developmental trajectories.

Most organisms display remarkable differences in morphological, anatomical, and developmental features between the two sexes. It has been recognized that these sex-dependent differences are controlled by an array of specific genetic factors, mediated through various environmental stimuli. In this paper, we present a unifying statistical model for mapping quantitative trait loci (QTL) that are responsible for sexual differences in growth trajectories during ontogenetic development. This model is derived within the maximum likelihood context, incorporated by sex-stimulated differentiation in growth form that is described by mathematical functions. A typical structural model is implemented to approximate time-dependent covariance matrices for longitudinal traits. This model allows for a number of biologically meaningful hypothesis tests regarding the effects of QTL on overall growth trajectories or particular stages of development. It is particularly powerful to test whether and how the genetic effects of QTL are expressed differently in different sexual backgrounds. Our model has been employed to map QTL affecting body mass growth trajectories in both male and female mice of an F2 population derived from the large (LG/J) and small (SM/J) mouse strains. We detected four growth QTL on chromosomes 6, 7, 11, and 15, two of which trigger different effects on growth curves between the two sexes. All the four QTL display significant genotype-sex interaction effects on the timing of maximal growth rate in the ontogenetic growth of mice. The implications of our model for studying the genetic architecture of growth trajectories and its extensions to some more general situations are discussed.

Animals↗
PubMed1997

Self-organization of firing activities in monkey's motor cortex: trajectory computation from spike signals.

The population vector method has been developed to combine the simultaneous direction-related activities of a population of motor cortical neurons to predict the trajectory of the arm movement. In this article, we consider a self-organizing model of a neural representation of the arm trajectory based on neuronal discharge rates. As self-organizing feature map (SOFM) is used to select the optimal set of weights in the model to determine the contribution of an individual neuron to an overall movement representation. The correspondence between movement directions and discharge patterns of the motor cortical neurons is established in the output map. The topology-preserving property of the SOFM is used to analyze the recorded data of a behaving monkey. The data used in this analysis were taken while the monkey was tracing spirals and doing center-->out movements. The arm trajectory could be well predicted using such a statistical model based on the motor cortex neuronal firing information. The SOFM method is compared with the population vector method, which extracts information related to trajectory by assuming that each cell has a fixed preferred direction during the task. This implies that these cells are acting along lines labeled only for direction. However, extradirectional information is carried in these cell responses. The SOFM has the capability of extracting not only direction-related information but also other parameters that are consistently represented in the activity of the recorded population of cells.

Algorithms↗
PubMedDate not supplied

Stress-induced variation in F2 trajectories as evidence for coproduction in CV syllables.

This study explored the extent to which a model of the acoustic consequences of overlapping, sliding consonantal and vocalic gestures was used to account for stress-induced changes in F2 trajectories occurring in test words embedded in a carrier phrase. Three stress conditions were studied including contrastive stress on test words (CS), contrastive stress on the content word preceding test words (U-CS), and non contrastive stress on test words (NS). F2 onset frequency was used to quantify the extent to which adjacent consonantal and vocalic gestures in stop consonant + vowel syllables were coproduced (i.e., overlapped) in the different stress conditions. The predicted relationship between F2 onset frequency and temporal variation in trajectories was also examined within and across stress conditions. In addition, the effects of stress-induced variation in articulatory scaling on F2 onset frequency were studied and factored into the interpretation of the results. The results indicated that F2 onset frequencies tended to differ for stress conditions characterized by large differences in prominence. Regression analyses predicting temporal variation in trajectories from F2 onset frequency accounted for part of the variance within and across stress conditions. Taken together, the results suggested that a model of overlapping, sliding gestures accounts for only some of the stress-induced variability in F2 trajectories in the current study.

Adult↗
PubMed2006

Arm trajectories in dyskinetic cerebral palsy have increased random variability.

Dyskinetic cerebral palsy results from injury to the basal ganglia early in life. Symptoms can include hyperkinetic or dystonic arm movements that impair function. It is not known whether these movements comprise a small number of specific abnormal motor patterns or whether they are random and variable. We hypothesize that injury to the basal ganglia leads to impaired filtering and removal of undesired neural signals and that lack of appropriate removal of noisy or irrelevant neural signals leads to random and variable arm movements. To test this hypothesis, we quantified the variability in arm trajectories while seven children with dyskinetic cerebral palsy between the ages of 4 and 13 years old made repeated outward reaching movements. We compared the results with those of 21 healthy children between the ages of 5 and 16 years. The best-fit trajectory to the set of reaching movements for each child was taken as the predictable component of movement. We calculated the ratio of the power in the best-fit trajectory to the total variance. This measure is the signal-to-noise ratio, and it quantifies the extent to which trajectories are predictable. We found that children with dyskinetic cerebral palsy had a significantly reduced signal-to-noise ratio compared with healthy children at similar ages. This result shows that there is increased movement variability, and it is consistent with the hypothesis that inadequate removal of noisy signals could be a cause of the movement disorder in dyskinetic cerebral palsy.

Adolescent↗
PubMed2003

Trajectories of disability among the oldest old.

OBJECTIVES: This study analyzes trajectories of disability from onset until death in an 80+ population. METHODS: The study population (N = 434) consists of all persons born before 1902 living in the town of Larvik, Norway, in January 1981 (N = 434). By registering illnesses and activities of daily living (ADL) limitations, each participant was followed until the last one died in 1999. RESULTS: Main trajectories of disability were (a) serious dementia, (b) severely dependent, (c) frail, and (d) fairly healthy. Multivariate analyses show significant effects of gender and age but no effect of socioeconomic status (SES) and marital status on the probability of entering one of four main trajectories. DISCUSSION: Although there are many exceptions, the trajectory of disability among the oldest old most often takes a serious course, particularly among women.

Activities of Daily Living↗