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Variance in parametric images: direct estimation from parametric projections.

Recent work has shown that it is possible to apply linear kinetic models to dynamic projection data in PET in order to calculate parameter projections. These can subsequently be back-projected to form parametric images--maps of parameters of physiological interest. Critical to the application of these maps, to test for significant changes between normal and pathophysiology, is an assessment of the statistical uncertainty. In this context, parametric images also include simple integral images from, e.g., [O-15]-water used to calculate statistical parametric maps (SPMs). This paper revisits the concept of parameter projections and presents a more general formulation of the parameter projection derivation as well as a method to estimate parameter variance in projection space, showing which analysis methods (models) can be used. Using simulated pharmacokinetic image data we show that a method based on an analysis in projection space inherently calculates the mathematically rigorous pixel variance. This results in an estimation which is as accurate as either estimating variance in image space during model fitting, or estimation by comparison across sets of parametric images--as might be done between individuals in a group pharmacokinetic PET study. The method based on projections has, however, a higher computational efficiency, and is also shown to be more precise, as reflected in smooth variance distribution images when compared to the other methods.

Animals↗

COLUMBUS Orbital Facility and Automated Transfer Vehicle: a challenge for agency & industry.

Long term continuous operation of the COLUMBUS Orbital Facility (COF) flight- and ground segment requires continuous mission control and operations support capability to ensure proper operation and configuration of the COF systems in support of ongoing science and technology payloads. The ISS logistics scenario will be supported by the Automated Transfer Vehicle (ATV). These operational needs require the built-up of a new ground infrastructure in Europe and USA, enabling an efficient operations for preparation, planning and mission execution. The challenge for the European space community consists in the development and operation of a user friendly operational environment but keeping costs within budgetary constraints. Results of detailed definition studies performed by both agency and industry for the ground infrastructure indicate solutions to those technical and programmatic requirements by using of existing centers and facilities, re-use of C/D phase products (Hardware, Software) and COTS equipment to avoid costly new developments, using engineering expertise of the industrial personnel from flight element phase C/D. The concept for operations execution defines the task sharing between Operations Control Facilities (OCF), Operations Support Facilities and User Operations Sites. Operations support consists of on-line engineering support, off-line engineering support, payload integration, logistics support and crew training support performed by industry. DASA RI has made internal investments in organizational concepts for mission operations as well as in mission technologies and tools based on the standard COLUMBUS Ground Software (CGS) toolset and on knowledge based systems to enable an efficient industrial operations support. These tools are available as prototypes being evaluated in a simulated operational environment.

Astronauts↗

The effect of simulated microgravity conditions on the TNF-alpha production by human PBMCS.

Our earlier space experiments demonstrated that the interferon production of human lymphocytes in microgravity is 4-8 times higher than those of the synchronous ground controls in vitro (Talas et al. 1983). These data suggested that the microgravity has a significant effect on cells. Since the possibilities to perform space-experiments are very limited and our study raised many interesting questions, we wished to simulate microgravity conditions in our laboratory. For this reason we purchased a Rotary Cell Culture System (RCCS) equipment to study different cell lines and human peripheral blood mononuclear cells (PBMCs) in experimental microgravity conditions. RCCS is a horizontally rotated bubble free culture vessel with membrane diffusion gas exchange. We report here an analysis of TNF-alpha (tumor necrosis factor-alpha) production by human PBMCs (control cultures exposed to simulated microgravity in RCCS). The cells were incubated in the presence or absence of either NDV (Newcastle Disease Virus) or one of the different forms (PHA-M or -P) of Phytohaemagglutinin.

Cell Culture Techniques↗

Effect of intrathecal superoxide dismutase and catalase on oxyhemoglobin-induced vasospasm in monkeys.

A gel consisting of agarose and oxyhemoglobin (OxyHb) was developed so that, when placed in the subarachnoid space, OxyHb would be slowly released, simulating lysis of erythocytes after subarachnoid hemorrhage. The system was used to investigate the importance of reactions mediated by free radicals in the genesis of OxyHb-induced vasospasm in monkeys. Seventeen monkeys were randomly assigned to have subarachnoid placement, on Day 0, of one of the following: 1) agarose gel alone (n = 2); 2) agarose plus OxyHb (n = 3); 3) agarose plus OxyHb plus intrathecal administration of superoxide dismutase and catalase (n = 6); and 4) agarose plus OxyHb plus intrathecal administration of placebo (n = 6). Vasospasm was assessed by comparison of angiograms performed on Day 0 and 7 days after subarachnoid placement of compounds, and by electron microscopy. OxyHb alone caused significant reduction in the diameter of the middle cerebral artery (40 +/- 8%, P less than 0.005, paired t test), which was associated with ultrastructural damage to smooth muscle. Treatment with superoxide dismutase plus catalase or with placebo attenuated vasospasm of the middle cerebral artery, although significant narrowing persisted in both groups (27 +/- 12% and 26 +/- 13%, respectively, P less than 0.05, paired t test). Analysis of variance showed no difference in the degree of vasospasm between groups exposed to subarachnoid placement of OxyHb. Cerebrospinal fluid aspirated from the cisterna magna on Day 7 contained elevated activity of superoxide dismutase in animals that received treatment. Malondialdehyde was undetectable in cerebrospinal fluid after subarachnoid placement of agarose alone, although it was present in similar amounts in all groups that received subarachnoid placement of OxyHb. Since intrathecal superoxide dismutase and catalase failed to protect against OxyHb-induced vasospasm, mechanisms mediated by free radicals may not be important in its genesis. As only one combination of doses of superoxide dismutase and catalase was administered, however, it may be that other dosage schedules might be efficacious.

Animals↗

Molecular-dynamics investigation of molecular flexibility in ligand binding.

The molecular flexibility of an inhibitor in ligand-binding process has been investigated by the mass-weighted molecular-dynamics simulation, a computational method adopted from the standard molecular-dynamics simulation and one by which the conformational space of a biomolecular system over potential energy barriers can be sampled effectively. The bimolecular complex of the aspartyl proteinase from Rhizopus chinensis, rhizopuspepsin, and an octapeptide inhibitor was previously studied in a mass-weighted molecular-dynamics simulation; the study has been extended for investigating the molecular flexibility in ligand binding. A series of mass-weighted molecular-dynamics simulations was carried out in which libration of the inhibitor dihedral angles was parametrically controlled, and threshold values of dihedral angle libration amplitudes were observed from monitoring the sampling of the enzyme binding pocket by the inhibitor in the simulations. The computational results are consistent with the general notion of molecular-flexibility requirement for ligand binding; the freedom of dihedral rotations of side-chain groups was found to be particularly important for ligand binding. Thus the critical degree of molecular flexibility which would contribute to effective enzyme inhibition can be obtained precisely from the modified molecular-dynamics simulations; the procedure described herein represents a first step toward providing quantitative measures of such a molecular-flexibility index for inhibitor molecules that have been otherwise targeted for optimal protein-ligand interactions.

Amino Acid Sequence↗

Contribution of energy values to the analysis of global searching molecular dynamics simulations of transmembrane helical bundles.

Molecular interactions between transmembrane alpha-helices can be explored using global searching molecular dynamics simulations (GSMDS), a method that produces a group of probable low energy structures. We have shown previously that the correct model in various homooligomers is always located at the bottom of one of various possible energy basins. Unfortunately, the correct model is not necessarily the one with the lowest energy according to the computational protocol, which has resulted in overlooking of this parameter in favor of experimental data. In an attempt to use energetic considerations in the aforementioned analysis, we used global searching molecular dynamics simulations on three homooligomers of different sizes, the structures of which are known. As expected, our results show that even when the conformational space searched includes the correct structure, taking together simulations using both left and right handedness, the correct model does not necessarily have the lowest energy. However, for the models derived from the simulation that uses the correct handedness, the lowest energy model is always at, or very close to, the correct orientation. We hypothesize that this should also be true when simulations are performed using homologous sequences, and consequently lowest energy models with the right handedness should produce a cluster around a certain orientation. In contrast, using the wrong handedness the lowest energy structures for each sequence should appear at many different orientations. The rationale behind this is that, although more than one energy basin may exist, basins that do not contain the correct model will shift or disappear because they will be destabilized by at least one conservative (i.e. silent) mutation, whereas the basin containing the correct model will remain. This not only allows one to point to the possible handedness of the bundle, but can be used to overcome ambiguities arising from the use of homologous sequences in the analysis of global searching molecular dynamics simulations. In addition, because clustering of lowest energy models arising from homologous sequences only happens when the estimation of the helix tilt is correct, it may provide a validation for the helix tilt estimate.

Amino Acid Sequence↗

Teaching subfascial perforator veins surgery: survey on a 2-day hands-on course.

BACKGROUND: The present paper describes a training method with objective evaluation to enhance video-assisted surgical skills in subfascial endoscopic perforator veins surgery (SEPS). Training was scheduled during a 2-day intensive course. METHODS: Hands-on exercises were performed (i) on a simulator to assess whether specific training exercises were helpful in attainment of skills; (ii) on a known animal model that uses the swine abdominal wall and which allows practice in endoscopic dissection and perforator veins (PV) using appropriate instrumentation in an environment that is a reasonable surrogate for the human calf; and (iii) assisting a senior surgeon performing SEPS. Thirty surgeons without experience in SEPS were trained to perform a sequence of standardized drills connected with the SEPS technique. The SEPS simulator consisted of an artificially constructed subfascial space of the leg in which false perforator veins had to be localized, and cut. The participants performed a sequence of drills three times in order to improve their dexterity. The same exercises were then performed on a swine model. The model consisted of the arteries and veins penetrating the rectus fascia and passing into the overlying cutaneous trunci muscle and hypodermis on either side of the midline between the arch of the ribs cranially and the umbilicus caudally. Trainees were required to achieve operative space in the animal subcutaneous fat, to reach and identify the "perforating" subcutaneous vessels, and to interrupt some of them with a 5-mm clamp coagulator ultrasonic scalpel. The time required to perform each dexterity drill was recorded in seconds. Finally, the day after, trainees were asked to drive the senior operator during clinical SEPS performed on eight patients, suggesting the following manoeuvres in order to: (i) enter the subfascial space of the leg; (ii) make operative space; (iii) identify the incompetent perforator vein(s); and (iv) coagulate and divide them with the ultrasonic scalpel. Each of these four steps scored 1 point. RESULTS: All the trainees showed a steady improvement in skill acquisition on the SEPS simulator (P < 0.001), and on the animal model with the single-port technique (P < 0.001). These results reflect positively on the animal model using the dual-port technique, and on the scores achieved in the operating theatre during clinical SEPS. CONCLUSIONS: The validity of the 2-day course was demonstrated by significant improvement in performance with increasing skill on the training models, and in clinical practice.

Animals↗

Comparison of multiple molecular dynamics trajectories calculated for the drug-resistant HIV-1 integrase T66I/M154I catalytic domain.

HIV-1 integrase (IN) is an essential enzyme for the viral replication and an interesting target for the design of new pharmaceuticals for multidrug therapy of AIDS. Single and multiple mutations of IN at residues T66, S153, or M154 confer degrees of resistance to several inhibitors that prevent the enzyme from performing its normal strand transfer activity. Four different conformations of IN were chosen from a prior molecular dynamics (MD) simulation on the modeled IN T66I/M154I catalytic core domain as starting points for additional MD studies. The aim of this article is to understand the dynamic features that may play roles in the catalytic activity of the double mutant enzyme in the absence of any inhibitor. Moreover, we want to verify the influence of using different starting points on the MD trajectories and associated dynamical properties. By comparison of the trajectories obtained from these MD simulations we have demonstrated that the starting point does not affect the conformational space explored by this protein and that the time of the simulation is long enough to achieve convergence for this system.

Biophysics↗

A quality assurance device for the accuracy of the isocentres of teletherapy and simulation machines.

A new quality assurance device has been designed to measure the location and wobble of the radiation isocentre of linacs and simulation machines as a function of gantry rotation. The radiation isocentre is the intersection in space of the central x rays of a linac or simulation machine at different gantry angles. Six radio-opaque markers 1 mm in size are embedded in a radio-transparent calibration object (specifically, a hollowed cube) in such a way that the markers are non-coplanar and uniquely identifiable in radiographic projections. The projective radiographs are obtained on the films held by the film holder attached to the gantry during the QA procedure. The marker positions of the calibration object define a known 3D reference frame, and their image positions on each radiograph determine the projective (3D to 2D matrix) transformation for that radiograph. Once the transformation is found, a 3D ray from the radiation source to any radiograph pixel becomes known. The radiographic pixels are coordinated (positioned and scaled) with respect to the projected image of radio-opaque fiducial cross-hairs fixed to a block tray and thus to the gantry. We select the central ray to correspond to the radiographic pixel whose rays at different gantry angles intersect in the smallest spatial domain. That pixel is found by a spiral search in the radiograph outward from the image of the radio-opaque cross-hair intersection. The wobble of the isocentre is defined by the set of points (on the central rays) at closest approach to the isocentre. The device was tested and compared with commercially available QA devices. It is able to locate the isocentre to within 0.5 mm. The offset of this derived radiation isocentre from the intersection of the positioning lasers can be found. To do this, the calibration object is initially placed so that the laser intersection point falls on a seventh radio-opaque marker near the centre of the hollow cube calibration object. The seventh marker is embedded in a thin radio-transparent rod that diagonally spans the hollowed space.

Algorithms↗

Modeling of separation of aqueous solutions of FeCl3 and AlCl3 by zeolite-clay composite membranes using a space-charge model.

In our earlier work, we reported the separation of FeCl3 from its aqueous solution and AlCl3 from its aqueous solution by analcime zeolite (Z1) membrane and its nitrated (Z2 membrane) and aminated (Z3 membrane) forms. Experimental data on the separation of aqueous solutions of FeCl3 and AlCl3 by zeolite-clay composite membranes has been simulated using the two-dimensional space-charge model. The computational requirement of the model has been considerably reduced by first obtaining a series solution of the nonlinear Poisson-Boltzmann equation. The effective pore radius of the membrane is taken as the one that gives the best fit to the experimental data, while the pore length is determined from the SEM photograph of the cross-sectional view of the membrane. The effective pore radii of the Z1, Z2, and Z3 membranes for FeCl3 solute are found to be 8.0, 7.0, and 5.0 nm, respectively, while for AlCl3 they are 4.5, 2.5, and 2.5 nm, respectively. These values are much less than the average of the pore size range values determined independently in an earlier work using the bubble point method and indicate partial blocking of the pores by these salts. The effective pore radius is larger for FeCl3 as compared to AlCl3 and decreases on modification. The intrinsic rejection is also found to decrease on modification. The permeate flux calculated from the model matches very well with the experimental values.

Journal Article↗

Feasibility of probing boundary morphology of structured materials by 2D NMR q-space imaging.

It is well known that one-dimensional (1D) q-space imaging allows retrieval of structural information at cellular resolution. Here we demonstrate by simulation that boundary morphology of structured materials can be derived from 2D q-space mapping. Based on a finite-difference model for restricted diffusion, 2D q-space maps obtained from water diffusion inside apertures at various levels of asperity were simulated. The results indicate that the observed ring patterns (diffraction minima) reveal the boundary profiles of the apertures but become blurred in the case of significant variation in aperture size. For uniform size distribution of apertures, a quantitative measure of surface roughness can be established by means of spatial autocorrelation analysis. The results suggest that 2D q-space imaging may allow probing of the boundary morphology of structured materials and possibly biological cells.

Cells↗

Monte Carlo simulations on marker grouping and ordering.

Four global algorithms, maximum likelihood (ML), sum of adjacent LOD score (SALOD), sum of adjacent recombinant fractions (SARF) and product of adjacent recombinant fraction (PARF), and one approximation algorithm, seriation (SER), were used to compare the marker ordering efficiencies for correctly given linkage groups based on doubled haploid (DH) populations. The Monte Carlo simulation results indicated the marker ordering powers for the five methods were almost identical. High correlation coefficients were greater than 0.99 between grouping power and ordering power, indicating that all these methods for marker ordering were reliable. Therefore, the main problem for linkage analysis was how to improve the grouping power. Since the SER approach provided the advantage of speed without losing ordering power, this approach was used for detailed simulations. For more generality, multiple linkage groups were employed, and population size, linkage cutoff criterion, marker spacing pattern (even or uneven), and marker spacing distance (close or loose) were considered for obtaining acceptable grouping powers. Simulation results indicated that the grouping power was related to population size, marker spacing distance, and cutoff criterion. Generally, a large population size provided higher grouping power than small population size, and closely linked markers provided higher grouping power than loosely linked markers. The cutoff criterion range for achieving acceptable grouping power and ordering power differed for varying cases; however, combining all situations in this study, a cutoff criterion ranging from 50 cM to 60 cM was recommended for achieving acceptable grouping power and ordering power for different cases.

Algorithms↗

Bioregeneration in space.

ESA has been studying a small-scale bioregenerative system to support long-term biological experiments on-board spacecraft with oxygen, water, and food. Core component of this system is a special photo-bioreactor in which a maltose-producing strain of the green alga Chlorella is cultivated. In initial experiments this bioreactor has been tested, and the physiology of Chlorella has been studied. The optimal conditions for CO2 to O2 conversion and maltose production have been determined, and the possibility of controlling the culture so as to match the needs of the consumer has been established. A microgravity-compatible photo-bioreactor, and a maltose separator have been developed and are functioning on the ground according to the design specifications. Tests in weightlessness will have to be performed in the future. The components are to be integrated to a complete bioregenerative life support system, which will then be subjected to extensive testing. The EXEMSI project afforded an opportunity to study the mutual influence of a Chlorella culture and real biological oxygen consumers, the four crew members in the laboratory module of the isolation facility. Chlorella 241.80 was batch cultured in an airlift bioreactor by the crew for 25 days with air aspirated from the module. The crew members determined pH and cell density in samples withdrawn from the culture. Microscopic observations showed no evidence of contamination of the culture by other organisms. Growth rates were smaller than those observed in laboratory conditions. This is attributed to the relatively low average CO2 concentration in the module atmosphere: 0.1% against 0.5% in the air supply during the laboratory experiments. The data show no evidence of trace contaminant accumulation in the Chlorella culture. The results are encouraging and suggest the value of further simulated operational testing of the system.

Cell Count↗

Artificial gravity as a countermeasure in long-duration space flight.

Long-duration exposure to weightlessness results in bone demineralization, muscle atrophy, cardiovascular deconditioning, altered sensory-motor control, and central nervous system reorganizations. Exercise countermeasures and body loading methods so far employed have failed to prevent these changes. A human mission to Mars might last 2 or 3 years and without effective countermeasures could result in dangerous levels of bone and muscle loss. Artificial gravity generated by rotation of an entire space vehicle or of an inner chamber could be used to prevent structural changes. Some of the physical characteristics of rotating environments are outlined along with their implications for human performance. Artificial gravity is the centripetal force generated in a rotating vehicle and is proportional to the product of the square of angular velocity and the radius of rotation. Thus, for a particular g-level, there is a tradeoff between velocity of rotation and radius. Increased radius is vastly more expensive to achieve than velocity, so it is important to know the highest rotation rates to which humans can adapt. Early studies suggested that 3 rpm might be the upper limit because movement control and orientation were disrupted at higher velocities and motion sickness and chronic fatigue were persistent problems. Recent studies, however, are showing that, if the terminal velocity is achieved over a series of gradual steps and many body movements are made at each dwell velocity, then full adaptation of head, arm, and leg movements is possible. Rotation rates as high as 7.5-10 rpm are likely feasible. An important feature of the new studies is that they provide compelling evidence that equilibrium point theories of movement control are inadequate. The central principles of equilibrium point theories lead to the equifinality prediction, which is violated by movements made in rotating reference frames.

Coriolis Force↗

A method for studying the structure of uniaxially aligned biopolymers using solid state 15N-nmr: application to Bombyx mori silk fibroin fibers.

Recent advances in the application of solid state nmr spectroscopy to uniformly aligned biopolymers have opened a window through which to view the detailed structure of biological macromolecules that are unable to be seen with standard techniques for structure determination such as x-ray diffraction. Atomic resolution structural details are obtained from solid state nmr data in the form of bond orientations, which yield the relative positions of specific atoms within the molecule. For static aligned systems such as fibers, in which rapid reorientation about the axis of alignment does not occur, it has generally been necessary to perform trial and error line-shape simulations to extract structural details from nmr spectra arising from a single type of nuclear spin interaction. In the present work, a new method is developed in which solid state 15N-nmr spectra obtained from uniaxially aligned molecules placed with the axis of alignment both parallel and perpendicular to the magnetic field are analyzed to yield the orientations of specific molecular bonds. Analytical expressions are derived that utilize spectral features read from 15N chemical shift anisotropy line shapes to calculate a discrete number of possible orientations for a specific site. The 15N-1H dipolar interaction is employed to further narrow the number of unique orientations possible for a given site. With this method, a neighborhood of possible orientations is quickly determined, and full line-shape simulations within this region of allowed space can be performed to refine the limits of orientation. This technique demonstrates the use of a single type of isotopic label to determine the orientation of a specific molecular group such as a peptide plane within a protein. Results from the application of this method to the Bombyx mori silk fibroin protein provide structural detail that is consistent with currently accepted structural models based on fiber diffraction studies.

Animals↗

Sleep and circadian rhythms in space.

This paper presents a detailed critical review of the knowledge accumulated in the last three decades concerning research on sleep, work-rest schedules, and circadian rhythms in space. The focus of the paper is preceded by a brief review of the basic principles of the human circadian system and the physiology of the sleep-wake cycle, relevant to understanding the problem of astronaut work-rest scheduling. Much of what is known is based on anecdotal reports, mission log books, and debriefing of astronauts after flights. The broad literature reviewed, which includes studies from American and Soviet space missions, as well as some studies conducted under simulated weightlessness, offers just a handful of objective studies on the physiology of sleep and circadian rhythms in space. Nevertheless, the data are remarkably consistent, and indicate that sleep can be of reasonably good quality in space. The risk of sleep loss and associated performance degradation appears to be a manageable one. However, one clear conclusion arises from this review: whatever the type of mission of flight plan, its success will depend on whether the principles of circadian and sleep-wake regulation have been taken into account during the planning phase of work-rest schedules. That is, satisfactory sleep and alertness is more likely to occur if crews maintain a reasonable (i.e., constant) relation with their normal terrestrial rhythm. This is not as easy a task as it may appear; indeed, unexpected, high-intensity operational demands have been the major cause of acute problems of sleep loss and performance degradation in space. Moreover, the growing complexity of space missions indicate that emergencies will never disappear. Therefore, one of the most important research challenges for future space missions is the development of strategies that could permit astronauts to function closest to maximal efficiency during intensive and prolonged work. Countermeasures for optimizing astronaut performance, as well as other factors affecting sleep and performance in space, are reviewed and discussed in detail in this paper.

Circadian Rhythm↗

The treatment of solvation by a generalized Born model and a self-consistent charge-density functional theory-based tight-binding method.

We present a model to calculate the free energies of solvation of small organic compounds as well as large biomolecules. This model is based on a generalized Born (GB) model and a self-consistent charge-density functional theory-based tight-binding (SCC-DFTB) method with the nonelectrostatic contributions to the free energy of solvation modeled in terms of solvent-accessible surface areas (SA). The parametrization of the SCC-DFTB/GBSA model has been based on 60 neutral and six ionic molecules composed of H, C, N, O, and S, and spanning a wide range of chemical groups. Effective atomic radii as parameters have been obtained through Monte Carlo Simulated Annealing optimization in the parameter space to minimize the differences between the calculated and experimental free energies of solvation. The standard error in the free energies of solvation calculated by the final model is 1.11 kcal mol(-1). We also calculated the free energies of solvation for these molecules using a conductor-like screening model (COSMO) in combination with different levels of theory (AM1, SCC-DFTB, and B3LYP/6-31G*) and compared the results with SCC-DFTB/GBSA. To assess the efficiency of our model for large biomolecules, we calculated the free energy of solvation for a HIV protease-inhibitor complex containing 3,204 atoms using the SCC-DFTB/GBSA and the SCC-DFTB/COSMO models, separately. The computed relative free energies of solvation are comparable, while the SCC-DFTB/GBSA model is three to four times more efficient, in terms of computational cost.

HIV Protease↗

Increased flexibility in GRASE imaging by k space-banded phase encoding.

GRASE (GRadient and spin Echo) is an echo train imaging technique that combines gradient and RF refocusing. Although overall signal decay is with T2 and field inhomogeneity phase errors do not accumulate, the small residual phase errors are periodic with echo number. The echo order described previously eliminates the phase error periodicity in k space but instead creates periodicity in the T2 modulation function that can also cause artifacts. In addition, with this order, the effective TE must be half the echo train time, and asymmetric Fourier sampling is difficult to implement. A new method is described that greatly reduces artifacts due to T2 decay, permits greater control of T2 contrast, and lends itself to asymmetric Fourier sampling. Different time segments of the echo train are encoded with different bands of spatial frequency in k space (hence "k banding"). Both computer simulations and experimental results demonstrate improvements in GRASE images acquired by this method.

Abdomen↗