Search PubMed⌕ Search

SEARCH · Search PubMed

Results for “Mathematical Computing”

Search indexed PubMed citations on genomics, clinical trials, systematic reviews and public health. Explore titles, authors and supplied subject terms, then open the PubMed record.

Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.

At least 1,171 records · Page 65Linked to original sources

An echolocation model for range discrimination of multiple closely spaced objects: transformation of spectrogram into the reflected intensity distribution.

Using frequency-modulated echolocation, bats can discriminate the range of objects with an accuracy of less than a millimeter. However, bats' echolocation mechanism is not well understood. The delay separation of three or more closely spaced objects can be determined through analysis of the echo spectrum. However, delay times cannot be properly correlated with objects using only the echo spectrum because the sequence of delay separations cannot be determined without information on temporal changes in the interference pattern of the echoes. To illustrate this, Gaussian chirplets with a carrier frequency compatible with bat emission sweep rates were used. The delay time for object 1, T1, can be estimated from the echo spectrum around the onset time. The delay time for object 2 is obtained by adding T1 to the delay separation between objects 1 and 2 (extracted from the first appearance of interference effects). Further objects can be located in sequence by this same procedure. This model can determine delay times for three or more closely spaced objects with an accuracy of about 1 micros, when all the objects are located within 30 micros of delay separation. This model is applicable for the range discrimination of objects having different reflected intensities and in a noisy environment (0-dB signal-to-noise ratio) while the cross-correlation method is hard to apply to these problems.

Animals↗

Improved algorithms and methods for room sound-field prediction by acoustical radiosity in arbitrary polyhedral rooms.

This paper explores acoustical (or time-dependent) radiosity--a geometrical-acoustics sound-field prediction method that assumes diffuse surface reflection. The literature of acoustical radiosity is briefly reviewed and the advantages and disadvantages of the method are discussed. A discrete form of the integral equation that results from meshing the enclosure boundaries into patches is presented and used in a discrete-time algorithm. Furthermore, an averaging technique is used to reduce computational requirements. To generalize to nonrectangular rooms, a spherical-triangle method is proposed as a means of evaluating the integrals over solid angles that appear in the discrete form of the integral equation. The evaluation of form factors, which also appear in the numerical solution, is discussed for rectangular and nonrectangular rooms. This algorithm and associated methods are validated by comparison of the steady-state predictions for a spherical enclosure to analytical solutions.

Acoustics↗

Experimental evaluation of radiosity for room sound-field prediction.

An acoustical radiosity model was evaluated for how it performs in predicting real room sound fields. This was done by comparing radiosity predictions with experimental results for three existing rooms--a squash court, a classroom, and an office. Radiosity predictions were also compared with those by ray tracing--a "reference" prediction model--for both specular and diffuse surface reflection. Comparisons were made for detailed and discretized echograms, sound-decay curves, sound-propagation curves, and the variations with frequency of four room-acoustical parameters--EDT, RT, D50, and C80. In general, radiosity and diffuse ray tracing gave very similar predictions. Predictions by specular ray tracing were often very different. Radiosity agreed well with experiment in some cases, less well in others. Definitive conclusions regarding the accuracy with which the rooms were modeled, or the accuracy of the radiosity approach, were difficult to draw. The results suggest that radiosity predicts room sound fields with some accuracy, at least as well as diffuse ray tracing and, in general, better than specular ray tracing. The predictions of detailed echograms are less accurate, those of derived room-acoustical parameters more accurate. The results underline the need to develop experimental methods for accurately characterizing the absorptive and reflective characteristics of room surfaces, possible including phase.

Acoustics↗

Left ventricular mass: manual and automatic segmentation of true FISP and FLASH cine MR images in dogs and pigs.

PURPOSE: To evaluate the accuracy of manually and automatically segmented true fast imaging with steady-state precession (FISP) and fast low-angle shot (FLASH) cine magnetic resonance (MR) imaging in the determination of left ventricular (LV) mass. MATERIALS AND METHODS: Nine dogs and five pigs underwent cine MR imaging of the entire LV from base to apex. Manual and automatic segmentation times were recorded, and LV masses determined with each were compared with each other and with the true LV mass at autopsy. Estimated mass and true mass at autopsy were compared by calculating the correlation coefficient and the mean difference between the two for each MR sequence and segmentation method. RESULTS: True LV mass at autopsy correlated well with masses determined with manual and automatic contours on true FISP MR images. Mean differences between true LV mass and masses determined from manual contours on true FISP and FLASH images were -0.8 g +/- 2.6 and 3.7 g +/- 6.8, respectively. When manually drawn end-diastolic contours were automatically propagated to end systole, mean differences were 2.0 g +/- 3.6 (P =.05) and 9.1 g +/- 6.5 (P <.05) for true FISP and FLASH images, respectively. For automatic contours, mean differences were 10.6 g +/- 8.5 (P <.05) and 27.7 g +/- 13.4 (P <.05) for true FISP and FLASH images, respectively. Mean automatic segmentation time was six times less than mean manual segmentation time. CONCLUSION: LV mass was determined most accurately by using manual contours on true FISP images. In these animal models, fully automatic segmentation of true FISP images was performed in one-sixth of the time of manual segmentation and yielded LV masses with a mean error of approximately 5% of true LV mass.

Animals↗

Multi-detector row CT of left ventricular function with dedicated analysis software versus MR imaging: initial experience.

PURPOSE: To determine left ventricular (LV) volumetric and functional parameters from retrospectively electrocardiographically gated multi-detector row computed tomography (CT) by using semiautomated analysis software and to correlate results with those of magnetic resonance (MR) imaging. MATERIALS AND METHODS: In 30 patients (mean age, 59.2 years +/- 7.1 [SD]) known to have or suspected of having coronary artery disease, four-channel multi-detector row CT was performed with standard technique, and diastolic and systolic image reconstructions were generated. With commercially available analysis software capable of semiautomated contour detection, end diastolic and end systolic LV volumes were determined from short-axis secondary CT reformations. Steady-state free-precession cine MR images were acquired in short-axis orientation within 48 hours and analyzed by using dedicated software. Bland-Altman analysis was performed to calculate limits of agreement and systematic errors between CT and MR imaging. RESULTS: Mean end diastolic (138.8 mL +/- 31.9) and end systolic (53.9 mL +/- 21.2) LV volumes as determined with CT correlated well with MR imaging measurements (142.0 mL +/- 32.5 [r = 0.93] and 54.9 mL +/- 22.8 [r = 0.94], respectively [P <.001]). LV ejection fraction (61.6% +/- 10.6 for CT vs 62.3% +/- 10.1 for MR imaging; r = 0.89) and stroke volume (84.6 mL +/- 20.9 for CT vs 86.9 mL +/- 21.5 for MR imaging; r = 0.88) also showed good correlation (P <.001). Bland-Altman analysis showed acceptable limits of agreement (+/-9.8% for ejection fraction) without systematic errors. CONCLUSION: In selected patients, semiautomated analysis software enables LV volumetric and functional analysis based on multi-detector row CT data sets, the results of which correlate well with MR imaging findings.

Aged↗

Assessment of fetal blood volume for computer-assisted management of in utero transfusion.

We performed 41 intravascular ultrasound-guided fetal transfusions in a total of 20 pregnancies with erythroblastosis fetalis or alloimmune thrombocytopenia. On the basis of this experience, we developed a computer-assisted procedure for determining the volume to be transfused, which provides an adequate final concentration. Fetal weight was estimated using ultrasound measurements. Fetoplacental blood volume was estimated from the regression line: fetoplacental volume (ml) = 1.046 + fetal weight (g) X 0.14. The volume to be transfused was calculated using the simple dilution formula: Vtransfused = Vfetoplacental.(Cfinal - Cinitial)/Ctransfused where C is the hematocrit or platelet count. The entire procedure is computerized, simple and rapid, and avoids resorting to repeated intermediate sampling. The dilution formula used appears to be more reliable than a formula taking into account the volume added, even in erythroblastosis fetalis where relatively large volumes are injected. This suggests rapid plasma loss during the procedure.

Blood Physiological Phenomena↗

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↗

Domain fusion analysis by applying relational algebra to protein sequence and domain databases.

BACKGROUND: Domain fusion analysis is a useful method to predict functionally linked proteins that may be involved in direct protein-protein interactions or in the same metabolic or signaling pathway. As separate domain databases like BLOCKS, PROSITE, Pfam, SMART, PRINTS-S, ProDom, TIGRFAMs, and amalgamated domain databases like InterPro continue to grow in size and quality, a computational method to perform domain fusion analysis that leverages on these efforts will become increasingly powerful. RESULTS: This paper proposes a computational method employing relational algebra to find domain fusions in protein sequence databases. The feasibility of this method was illustrated on the SWISS-PROT+TrEMBL sequence database using domain predictions from the Pfam HMM (hidden Markov model) database. We identified 235 and 189 putative functionally linked protein partners in H. sapiens and S. cerevisiae, respectively. From scientific literature, we were able to confirm many of these functional linkages, while the remainder offer testable experimental hypothesis. Results can be viewed at http://calcium.uhnres.utoronto.ca/pi. CONCLUSION: As the analysis can be computed quickly on any relational database that supports standard SQL (structured query language), it can be dynamically updated along with the sequence and domain databases, thereby improving the quality of predictions over time.

Alternative Splicing↗

Posterior cranial fossa volume in patients with rickets: insights into the increased occurrence of Chiari I malformation in metabolic bone disease.

OBJECTIVE: Some have proposed that the calvarial thickening seen in patients with rickets results in an increased rate of Chiari I malformation (CIM) in these patients. The present study measures the posterior fossa volume in children with rickets to verify previous case reports indicting a small posterior fossa as the cause for an increased rate of CIM in children with rickets. METHODS: Patients were chosen by use of a computer database to search for individuals diagnosed with rickets. Nineteen patients were identified with this diagnosis. Seven patients were found from this cohort to have imaging of the head. Axial computed tomographic and magnetic resonance images were analyzed by use of the Cavalieri method to define posterior fossa volumes. These data were then compared with those from age-matched control subjects. RESULTS: Mean volumes of the posterior fossa were significantly reduced in all patients compared with age-matched control subjects (P < 0.0001). CONCLUSION: We have found that the volume of the posterior fossa is significantly smaller in children with rickets versus age-matched control subjects. Furthermore, 29% of our study group had an associated CIM. We may hope that these data will aid in the further understanding of the pathophysiology of CIM in cases of metabolic bone disease.

Adolescent↗

Sequential and matching analyses of self-injurious behavior a case of overmatching in the natural environment.

In this study, we examined the relation between naturally occurring rates of self-injurious behavior and appropriate communicative behavior using prospective sequential and matching analyses of descriptive data. Results from both analyses suggested reliable covariation between both forms of behavior and staff attention. Findings are discussed in terms of the applicability of quantitative descriptive analyses to characterize behavior-environment relations in natural contexts.

Activities of Daily Living↗

A computational model for heat generation in a radially layered tissue inside a 'coaxial TEM' applicator.

The electromagnetic heat dissipation in a radially layered biological tissue inside a circular cylinder has been investigated theoretically. The theory is based on a three-dimensional model and the electromagnetic field is assumed to be generated by a prescribed electric field along a ring-shaped aperture. The method of computation employs the spatial Fourier transform of all field quantities with respect to the axial coordinate, after which the field equations are solved in the spectral domain. Subsequently, an inverse Fourier transform is carried out to compute the quantities that are of interest to the clinical deep-body hyperthermia system at hand. For a number of representative configurations numerical results at 70 MHz are given.

Body Temperature↗

Exploring item and higher order factor structure with the Schmid-Leiman solution: syntax codes for SPSS and SAS.

To ease the interpretation of higher order factor analysis, the direct relationships between variables and higher order factors may be calculated by the Schmid-Leiman solution (SLS; Schmid & Leiman, 1957). This simple transformation of higher order factor analysis orthogonalizes first-order and higher order factors and thereby allows the interpretation of the relative impact of factor levels on variables. The Schmid-Leiman solution may also be used to facilitate theorizing and scale development. The rationale for the procedure is presented, supplemented by syntax codes for SPSS and SAS, since the transformation is not part of most statistical programs. Syntax codes may also be downloaded from www.psychonomic.org/archive/.

Analysis of Variance↗

Using the standard staircase to measure the point of subjective equality: a guide based on computer simulations.

In experiments that measure a point of subjective equality, it is necessary to employ a psychophysical technique that measures the 50% point (P50) on the psychometric function. The standard staircase is an attractive candidate, because its simplicity makes it easy to understand and implement. However, Pentland (1980, Perception & Psychophysics, 28, 377-379) found his own maximum likelihood method (Best PEST) to be considerably less variable than the standard staircase. Here, computer simulations were used to study the effects of manipulating several parameters of the standard staircase in order to try to find a variant that would be competitive with the performance of Best PEST. A graphical summary of some of the standard staircase implementations that were found to be most stable is presented in order that investigators may choose easily the parameters best suited to their requirements. A comparison with an implementation of Pentland's Best PEST failed to replicate Pentland's finding, suggesting that investigators should have no misgivings about the standard staircase in experiments that measure a point of subjective equality.

Algorithms↗

Measurable models of abdominal aortic aneurysm on the Web.

In this paper we describe a method for 3D reconstruction and web distribution of vessel structures specifically designed to allow the remote measurement of parameters of surgical interest. Deformable models are used for segmentation, while VRML and ECMA scripting are used to obtain 3D models that are not only viewable from any VRML97 enabled browser, but that also allow users to interact with the model, navigate along the vessel lumen and perform guided measurements of distances and angles.

Aortic Aneurysm, Abdominal↗

Virtual simulation system for collision avoidance for medical robot.

For the collision avoidance with a medical robot with 6 DOF a virtual simulation system is presented. Manipulator and obstacles are modelled by geometric primitives. Collisions are detected in the Cartesian workspace by hierarchical distance computation based on the given CAD model. The application initially being addressed is maxillofacial surgery, where the safety of the patient is the main requirement,because of the closeness to vital parts. The simulation system allows the surgeon to check up the trajectory of the robot before the current operation begins.

Computer Graphics↗

Stereoscopic x-ray image processing.

A three-step stereoscopic image-processing algorithm is proposed in order to improve image quality and depth perception of stereoscopic radiographs taken with C-arm equipment. The steps include illumination correction, geometry conversion and screen parallax adjustment. Flipping of stereoscopic radiographs is also discussed.

Computer Simulation↗

Analytical and graphical methods to model the association between family history and disease from a case-control study.

Subjects within a family have a high probability of sharing environmental factors as well as genes. Without any previous hypothesis, familial aggregation cannot be attributed to genetic or environmental factors. In epidemiology a common measure of familial aggregation is the odds ratio (OR) evaluated from case-control studies which gives a measure of the increased risk associated with particular aspects of the family's history of disease. An analytical method is presented to model the OR of case-control studies in the presence of risk factors, genetic or environmental, that are correlated between relatives. A graphical approach that can be used to link the parameters of the model with the values of the OR is also described. The method is illustrated using the example of familial aggregation in colorectal cancer.

Case-Control Studies↗