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PubMed1992

From basis functions to basis fields: vector field approximation from sparse data.

Recent investigations (Poggio and Girosi 1990b) have pointed out the equivalence between a wide class of learning problems and the reconstruction of a real-valued function from a sparse set of data. However, in order to process sensory information and to generate purposeful actions living organisms must deal not only with real-valued functions but also with vector-valued mappings. Examples of such vector-valued mappings range from the optical flow fields associated with visual motion to the fields of mechanical forces produced by neuromuscular activation. In this paper, I discuss the issue of vector-field processing from a broad computational perspective. A variety of vector patterns can be efficiently represented by a combination of linearly independent vector fields that I call "basis fields". Basis fields offer in some cases a better alternative to treating each component of a vector as an independent scalar entity. In spite of its apparent simplicity, such a component-based representation is bound to change with any change of coordinates. In contrast, vector-valued primitives such as basis fields generate vector field representations that are invariant under coordinate transformations.

Animals↗
PubMed1996

Evidence for a feature tracking explanation of why type II plaids move in the vector sum direction at short durations.

When two moving sinusoidal gratings, with similar spatial frequency, contrast, phase, but different orientation are combined to form a plaid, their perceived direction of motion has been predicted by the intersection of constraints rule (IOC) (Adelson & Movshon, Nature, 300, 523-525, 1982). However, at short durations (60 msec) the direction of perceived motion has been predicted by the vector sum direction for "Type II" plaids (Yo & Wilson, Vision Research, 32, 1, 1992). Type II plaids are the set of plaids where the components are both located on one side of the resultant computed using the IOC rule. Yo and Wilson suggest that the vector sum direction is observed for Type II plaids at short durations because non-Fourier information is not available and direction is computed from Fourier information only. The first experiment in this study replicates the original Yo and Wilson result using similar stimuli but a simpler task; perceived direction was measured using a direction discrimination task instead of the method of adjustment used by Yo and Wilson. The second experiment provides evidence against generalizing the result to all Type II plaids. A systematic set of type II plaids that varied only in terms of the orientation of the second component provided an ideal set because their predicted motion direction followed very different patterns when predicted by the IOC and vector sum computations. The results obtained were predicted more accurately by the IOC than the vector sum. Experiment 3 provides further evidence that movement in the vector sum direction is not a general property of type II plaids. A small change to the velocity of one of the components of a plaid previously perceived in the vector sum direction had the effect of shifting the perceived motion in the IOC direction, despite increasing the difference between the IOC and VS predictions. This result is not consistent with Yo and Wilson's hypothesis that Type II plaids move in the vector sum direction because of a temporal delay between Fourier and non-Fourier information. Computational analysis of the stimuli used in both the current and original experiments revealed a possible explanation of the results in terms of a contribution from local feature tracking rather than a vector sum operation.

Fourier Analysis↗
PubMed1992

Malaria vector analysis and control.

Antivector measures in malaria control should aim for a cost-effective reduction of the transmission potential ideally to below the critical level for sustained transmission. The available measures include those that decrease vector abundance, vector-human contact and vector survival rate or that increase the length of the sporogonic cycle. These have widely different impact on malaria transmission, as shown by epidemiological modelling. Direct modification of vector receptivity to Plasmodium is also hypothetically attainable by the use of transmission-blocking vaccines or by genetic manipulation and replacement of the vector population. Vector analysis constitutes the essential prerequisite for basic malaria epidemiology as well as for the development, planning and evaluation of antivector measures. The rationale, the problems and the perspectives of vector analysis are reviewed here by Mario Coluzzi, on the basis of his experience with Afrotropical and Mediterranean malaria vectors.

Journal Article↗
PubMed2005

Superior neovascularization and muscle regeneration in ischemic skeletal muscles following VEGF gene transfer by rAAV1 pseudotyped vectors.

Recombinant adeno-associated virus serotype 2 (rAAV2) vector has been widely employed for gene therapy. Recent progress suggests that the new serotypes of AAV showed a better performance than did AAV2 in normal tissues. Here, we evaluate the potential role of human vascular endothelial growth factor (VEGF) gene transfer using rAAV vector pseudotyped with serotype 1 capsid proteins (rAAV1) in the treatment of muscle ischemia. In ischemic skeletal muscles, the rAAV1-LacZ vector allowed higher level, broader distribution, and long-lasting gene expression compared with the rAAV2-LacZ vector. Muscle VEGF165 production following the rAAV1-VEGF165 vector injection was 5-10 times higher than that following the rAAV2-VEGF165 vector injection. VEGF165 production mediated by the rAAV1-VEGF165 vector stimulated a large set of neovascularization with relatively mature vascular structures and enhanced muscle regeneration in the ischemic skeletal muscles. Thus, the rAAV1-VEGF165 vector mediated gene transfer may be a therapeutic approach to peripheral vascular diseases.

Adenoviridae↗
PubMed2005

Barriers to Gene Delivery Using Synthetic Vectors.

Progress has been made in the development of different types of nucleic acids such as DNA and siRNA with the potential to form the basis of new treatments for genetic and acquired disorders. The lack of suitable vectors for the delivery of nucleic acids, however, represents a major hurdle to their continued development and therapeutic application. Synthetic vectors based on polycations are promising vectors for gene delivery as they are relatively safe and can be modified by the incorporation of ligands for targeting to specific cell types. However, the levels of gene expression mediated by synthetic vectors are low compared to viral vectors. The aim of this chapter is to give an overview of the main barriers that have been identified as limiting gene transfer using polycation-based synthetic vectors. The chapter is divided into two sections to focus on both extracellular and intracellular barriers. We describe novel strategies that are being used to develop increasingly sophisticated vectors in an attempt to overcome these barriers. For instance, we describe approaches to prolong the plasma circulation of polyplexes by the incorporation onto their surface of hydrophilic polymers such as polyethylene glycol (PEG) and poly[N-(2-hydroxypropyl)methacrylamide] (pHPMA). In addition, strategies to improve transfer of nucleic acids from the outside of the cell to the nucleus are described to overcome barriers such as escape from endocytic vesicles and translocation across the nuclear membrane. Furthermore, we highlight new types of vectors based on reducible polycations that are triggered by the intracellular environment to facilitate efficient cytoplasmic release of nucleic acids.

Journal Article↗
PubMed1998

Assaying extrachromosomal gene therapy vectors that carry replication/persistence elements.

Persistence in the cell is a desirable property for most gene therapy vectors. For extrachromosomal vectors, persistence is limited in most cell types. To address this problem, we have developed vectors with the ability to replicate and be retained in the nucleus. These properties are conferred by specific elements present on the vectors and derived from genomic DNA and from Epstein-Barr virus. In order to begin evaluation of these vectors for use in gene therapy, we developed and present here two assays that measure the persistence of vector DNA in tissue culture cells under rapidly dividing and slowly dividing conditions. Our results indicate that inclusion of DNA replication and nuclear retention elements on a vector increases persistence of vector DNA in slowly dividing cells by at least 500%. Further improvement of the system is discussed.

Journal Article↗
PubMed2002

Impedance vector distribution by sex, race, body mass index, and age in the United States: standard reference intervals as bivariate Z scores.

Bioelectrical impedance measurements were collected in the Third National Health and Nutrition Examination Survey (NHANES III), but their results have not been published. In the NHANES III population, resistance (R) and reactance (Xc) values at 50-kHz frequency were obtained with a Valhalla Scientific meter (model 1990B; San Diego, CA, USA). The RXc graph method was used to identify bivariate pattern distributions of mean vectors (95% confidence ellipses by sex, race, age, and body mass index [BMI]), and individual impedance vectors (50%, 75%, and 95% tolerance ellipses). Data from 10 222 adults (5261 men and 4961 women) formed 90 four-way classification groups, with two sexes, three races or ethnicities (non-Hispanic white, non-Hispanic black, Mexican American), five age classes (20-29, 30-39, 40-49, 50-59, and 60-69 y), and three BMI classes (19-24.9, 25-29.9, and 30-34.9 kg/m(2)). Sex, race or ethnicity, BMI and age, in decreasing order, influenced the vector distribution pattern. Mean vectors in women were significantly longer than those in men. Within each sex, the mean vector of non-Hispanic white subjects was shorter and with a smaller phase angle than that of corresponding BMIs from the two other race/ethnic populations. Tolerance ellipses were calculated from sex- and race-specific reference populations 20 to 69 y old and 19 < or = BMI < 30 kg/m(2) (8022 subjects, 4226 men and 3796 women). After transformation of impedance vector components into bivariate Z scores (standardized deviates, as differences from the mean divided by the standard deviation of the reference population), we constructed one standard, reference, RXc-score graph (50%, 75%, and 95% tolerance ellipses) that can be used with any analyzer in any population. The pattern of impedance vector distribution and reference bivariate intervals for the individual impedance vector are presented for comparative studies (free software at E-mail: apiccoli@unipd.it).

Adult↗
PubMed1999

Characterization of lipophilicity scales using vectors from solvation energy descriptors.

Lipophilicity scales were characterized by an approach using vectors provided from solvation energy descriptors (SED) of solutes such as an excess molar refraction, the dipolarity/polarizability, the hydrogen-bond acidity, the basicity, and the McGowan characteristic volume. The five components of the SED vector were obtained from the coefficients of the five SED terms of the linear solvation energy relationship (LSER) equation for the lipophilicity scales. The analogy between two lipophilicity scales was expressed as the angle between the two SED vectors, while the difference in the contribution of the five independent SEDs to these two lipophilicity scales was quantified by the difference of the unit vectors of the SED vectors. These approaches were applied to several lipophilicity scales measured using microemulsions, micelles, an immobilized artificial membrane column, and an octanol-water system. As a result, the quantitative classification of these scales was successfully carried out, and the difference in the scales was well characterized. In addition, this vector approach was extended to the estimation of the contribution of each constituent of the microemulsions to the lipophilicity scale. Furthermore, some biological parameters such as skin permeability and the distribution between blood and brain could be predicted by the summation of the SED vectors obtained from the chromatographic systems. These results suggest that complex biological systems can be expressed quantitatively by simple chemical models with their SED vectors.

Algorithms↗
PubMed2003

Detection of repolarization abnormalities in patients with cardiomyopathy using current vector mapping technique on magnetocardiogram.

OBJECTIVES: We have previously developed current vector maps of tangential components on the magnetocardiogram (MCG) to obtain cardiac current distribution images. The present study was conducted to detect repolarization abnormalities in patients with cardiomyopathy using the current vector map. SUBJECTS AND METHODS: Thirteen patients with cardiomyopathy (nine males and four females aged 7-16 years, mean, 11.5 +/- 3.1 years, +/- SD), and 15 age- and sex-matched normal subjects were studied. Normal components (Bz) of MCG were measured at rest with a multi-channel superconducting quantum interface device (SQUID) system, and differentiated in the tangential direction to obtain current vector maps. Homogeneity of current in the heart during repolarization was investigated. The direction of the maximum current vector was also calculated in each case. RESULTS: In all normal subjects, the current vector consistently showed a left downward direction on the frontal chest plane during the repolarization process. On the other hand, 8 out of 13 patients with cardiomyopathy showed different patterns; four of these patients showed multi-dipoles, and the other four showed a shift in the current vector direction. One of the eight cases showed no abnormality on electrocardiogram (ECG). CONCLUSIONS: Repolarization process in patients with cardiomyopathy was apparently different from those in normal subjects on the current vector map. It was easy to visualize the repolarization process as a projection to the frontal plane, including regional abnormalities, by the current vector maps, which might be more useful for early detection of repolarization abnormalities than ECG.

Cardiomyopathies↗
PubMed2001

Helper virus-free HSV-1 vectors packaged both in the presence of VSV G protein and in the absence of HSV-1 glycoprotein B support gene transfer into neurons in the rat striatum.

Herpes simplex virus (HSV-1) vectors have potential for gene transfer into quiescent cells, but the gene transfer process could be more efficient. In other vector systems, both the titers and the efficiency of gene transfer have been enhanced by pseudotyping the vector particles with vesicular stomatitis virus (VSV) G protein. In this report, we pseudotyped helper virus-free HSV-1 plasmid vectors with VSV G protein. Packaging was performed in the presence of both VSV G protein and a deletion in an essential HSV-1 glycoprotein, gB. The resulting vector stocks supported gene transfer into both fibroblast and neuronal cell lines. VSV G protein was required for gene transfer because preincubation of these vector stocks with antibodies directed against either VSV G protein or VSV reduced the titer to undetectable levels. Although the titers were lower than those obtained using the unmodified vector system, the titers were not increased by use of chimeric proteins that contain the extracellular domain of VSV G protein and the transmembrane and/or cytoplasmic domains of specific HSV-1 glycoproteins. Also, the titers were not increased by performing the packaging in the presence of deletions in multiple HSV-1 glycoproteins. Nonetheless, pHSVlac pseudotyped with VSV G protein supported gene transfer into striatal neurons in the rat brain. Thus, HSV-1 vectors pseudotyped with VSV G protein may be useful for specific gene transfer studies.

Animals↗
PubMed2003

Dynamics of the VIGS-mediated chimeric silencing of the Nicotiana benthamiana ChlH gene and of the tobacco mosaic virus vector.

The ChlH gene, encoding for the H subunit of the magnesium chelatase enzyme, was silenced in Nicotiana bentahamiana plants by virus-induced gene silencing (VIGS), using tobacco mosaic virus (TMV) expression vector. Strong silencing of the ChlH target gene was initiated only in the apical tissues, in which the endogenous transcription level of the target gene and the level of TMV vector RNA were both very high. The virus vector was also targeted by VIGS, and its suppression was correlated with the silencing of the ChlH mRNA. In the apical tissues, the suppression of both the virus vector and the ChlH mRNA led to a reduction of the silencing pressure and, consequently, to partial recovery of the new growth from the silencing. As the virus vector and the target mRNA levels increased, silencing was reestablished. The feedback regulation system, caused by the transient increase and reduction in levels of the virus vector and ChlH mRNA, led to a fluctuation of the silenced and recovered phenotypes in the plant apex. This TMV-vector mediated silencing system differed from previously analyzed VIGS systems; although the TMV vector was initially targeted by the silencing system, it was not permanently suppressed, indicating that, in this system, TMV was able to effectively escape post-transcriptional gene silencing.

Gene Expression Regulation, Plant↗
PubMed2005

Identification of cardiac rhythm features by mathematical analysis of vector fields.

Automated techniques for locating cardiac arrhythmia features are limited, and cardiologists generally rely on isochronal maps to infer patterns in the cardiac activation sequence during an ablation procedure. Velocity vector mapping has been proposed as an alternative method to study cardiac activation in both clinical and research environments. In addition to the visual cues that vector maps can provide, vector fields can be analyzed using mathematical operators such as the divergence and curl. In the current study, conduction features were extracted from velocity vector fields computed from cardiac mapping data. The divergence was used to locate ectopic foci and wavefront collisions, and the curl to identify central obstacles in reentrant circuits. Both operators were applied to simulated rhythms created from a two-dimensional cellular automaton model, to measured data from an in situ experimental canine model, and to complex three-dimensional human cardiac mapping data sets. Analysis of simulated vector fields indicated that the divergence is useful in identifying ectopic foci, with a relatively small number of vectors and with errors of up to 30 degrees in the angle measurements. The curl was useful for identifying central obstacles in reentrant circuits, and the number of velocity vectors needed increased as the rhythm became more complex. The divergence was able to accurately identify canine in situ pacing sites, areas of breakthrough activation, and wavefront collisions. In data from human arrhythmias, the divergence reliably estimated origins of electrical activity and wavefront collisions, but the curl was less reliable at locating central obstacles in reentrant circuits, possibly due to the retrospective nature of data collection. The results indicate that the curl and divergence operators applied to velocity vector maps have the potential to add valuable information in cardiac mapping and can be used to supplement human pattern recognition.

Algorithms↗
PubMed2005

Euler vector for search and retrieval of gray-tone images.

A new combinatorial characterization of a gray-tone image called Euler Vector is proposed. The Euler number of a binary image is a well-known topological feature, which remains invariant under translation, rotation, scaling, and rubber-sheet transformation of the image. The Euler vector comprises a 4-tuple, where each element is an integer representing the Euler number of the partial binary image formed by the gray-code representation of the four most significant bit planes of the gray-tone image. Computation of Euler vector requires only integer and Boolean operations. The Euler vector is experimentally observed to be robust against noise and compression. For efficient image indexing, storage and retrieval from an image database using this vector, a bucket searching technique based on a simple modification of Kd-tree, is employed successfully. The Euler vector can also be used to perform an efficient four-dimensional range query. The set of retrieved images are finally ranked on the basis of Mahalanobis distance measure. Experiments are performed on the COIL database and results are reported. The retrieval success can be improved significantly by augmentiong the Euler vector by a few additional simple shape features. Since Euler vector can be computed very fast, the proposed technique is likely to find many applications to content-based image retrieval.

Algorithms↗
PubMedDate not supplied

Clifford Fourier transform on vector fields.

Image processing and computer vision have robust methods for feature extraction and the computation of derivatives of scalar fields. Furthermore, interpolation and the effects of applying a filter can be analyzed in detail and can be advantages when applying these methods to vector fields to obtain a solid theoretical basis for feature extraction. We recently introduced the Clifford convolution, which is an extension of the classical convolution on scalar fields and provides a unified notation for the convolution of scalar and vector fields. It has attractive geometric properties that allow pattern matching on vector fields. In image processing, the convolution and the Fourier transform operators are closely related by the convolution theorem and, in this paper, we extend the Fourier transform to include general elements of Clifford Algebra, called multivectors, including scalars and vectors. The resulting convolution and derivative theorems are extensions of those for convolution and the Fourier transform on scalar fields. The Clifford Fourier transform allows a frequency analysis of vector fields and the behavior of vector-valued filters. In frequency space, vectors are transformed into general multivectors of the Clifford Algebra. Many basic vector-valued patterns, such as source, sink, saddle points, and potential vortices, can be described by a few multivectors in frequency space.

Algorithms↗
PubMed2006

Inhibition of TGF-beta1 expression in human peritoneal mesothelial cells by pcDU6 vector-mediated TGF-beta1 shRNA.

BACKGROUND AND AIM: Transforming growth factor-beta(1) (TGF-beta(1)) is an important mediator of the fibrosis process. High expression of TGF-beta(1) is closely related to peritoneal fibrosis. RNA interference using short hairpin RNA (shRNA) can mediate sequence-specific inhibition of gene expression in mammalian cells. The aim of this study was to assess the effect of shRNA targeting TGF-beta(1) on the expression of TGF-beta(1) in human peritoneal mesothelial cells (HPMC). METHODS: TGF-beta(1) specific shRNA expression vectors were constructed and introduced to HPMC stimulated with 4.25% D-glucose (Gs) and 10 microg/mL of lipopolysaccharide (LPS). Expression of TGF-beta(1) mRNA was assessed by semiquantification reverse transcription polymerase chain reaction (RT-PCR). The TGF-beta(1) protein level in the culture supernatant was determined by sandwich enzyme-linked immunosorbent assay. RESULTS: The expression of TGF-beta(1) was upregulated significantly in HPMC stimulated with 4.25% D-Gs and 10 microg/mL LPS P < 0.01. TGF-beta(1) expression in pcDU6 plasmid vector-mediated TGF-beta(1) shRNA groups were obviously downregulated when compared to the 4.25% D-Gs and 10 microg/mL LPS group (P < 0.01) and the pcDU6 void vector group (P < 0.05), with no significant difference among pcDU6 plasmid vector -mediated TGF-beta(1) shRNA groups (P > 0.05). No significant difference was found between teh pcDNA3.1(-) vector plasmid-mediated TGF-beta(1) antisense RNA group and pcDU6 void vector group (P > 0.05). The expression of TGF-beta(1) in pcDU6 plasmid vector-mediated TGF-beta(1) shRNA groups were obviously downregulated when compared to the pcDNA3.1(-) plasmid vector-mediated TGF-beta(1) antisense RNA group (P < 0.05). CONCLUSION: TGF-beta(1)-specific shRNA can significantly inhibit the expression of TGF-beta(1) in HPMC stimulated with 4.25% D-Gs and 10 microg/mL LPS in HPMC. These results suggest the possible application of TGF-beta(1)-specific shRNA in preventing peritoneal fibrosis in patients receiving peritoneal dialysis.

Epithelial Cells↗
PubMed2004

Bioelectric impedance vector distribution in peritoneal dialysis patients with different hydration status.

BACKGROUND: In continuous ambulatory peritoneal dialysis (CAPD), total body water (TBW) is estimated by functions of body weight, and by equations of bioelectric impedance analysis (BIA). These procedures may be biased with abnormal tissue hydration. We validated vector BIA (BIVA) patterns of hydration in CAPD patients, based on direct measurements of resistance (R) and reactance (Xc) (RXc graph) without knowledge of the body weight. METHODS: Cross-sectional study in 200 adult CAPD patients from two groups: 149 patients (77 males and 72 females) without edema (BMI 24.3 kg/m2), and 51 (29 males and 22 females) with pitting edema (BMI 24.6 kg/m2). Single frequency (50 kHz), whole-body impedance vector was measured with both empty and filled peritoneal cavity. Vector distribution was compared with that from 726 healthy subjects, 1116 hemodialysis patients, and 50 nephrotic patients, all with a same BMI. The performance of BIVA was compared with indications of four anthropometry and four conventional BIA equations for TBW. RESULTS: TBW estimates from anthropometry (Watson, Hume and Weyers, Chertow, and Johansson formulas) were misleading, indicating the same hydration in edema. TBW estimates from BIA equations indicated a 10% excess TBW in edema. BIVA were very sensitive to fluid overload, as both R (by 10%) and Xc (by 40%) were reduced in patients with edema (regardless of peritoneal filling). The vector distribution of individual CAPD patients without edema was superposable to that of the healthy, gender-specific, reference population (50%, 75%, and 95% tolerance ellipses, RXc graph) and close to the hemodialysis, presession distribution. Vectors from patients with edema were displaced downward on the RXc graph, out of the 75% ellipse (88% sensitivity and 87% specificity), and close to vectors from nephrotic patients. CONCLUSION: CAPD prescription would keep or bring vectors of patients back into the 75% reference ellipse (border for progression from latent to apparent overhydration across the lower pole) regardless of body weight. Whether CAPD patients with vector within the target ellipse have better outcome needs longitudinal evaluation.

Adolescent↗
PubMed1986

Vector mapping of myocardial activation.

A custom-made probe, consisting of four electrodes arranged so that two orthogonal bipolar electrograms could be recorded from a single site, was used to record epicardial activity during atrial and ventricular pacing in five normal and five anesthetized open-chest mongrel dogs with myocardial infarction. Unfiltered bipolar electrograms recorded with a 2 mm interelectrode distance averaged 36 +/- 15 mV in amplitude and 16 +/- 5 msec in duration in normal areas and 14 +/- 11 mV and 23 +/- 12 msec in infarcted areas (p less than .01 infarct vs normal). The bipolar electrograms were vector summed so that a vector loop could be generated at each site. The direction of epicardial impulse propagation as determined by multipoint isochronal activation mapping was compared with that indicated by maximum x,y deflection of the vector loop. At 203 sites (141 normal and 62 infarcted) there was a median error of only 13 degrees and an excellent correlation by linear regression (r2 = .95). In normal myocardium vector loops were straight (60%), open (21%), or hooked (19%). In infarcted myocardium, notched and irregular loops were occasionally seen. However, a clear maximum x,y deflection was still obtained from 98% of infarcted sites. During ventricular pacing in normal dogs, uniform epicardial conduction was observed for up to 4 cm longitudinal to fiber orientation but only 1 cm transverse to it. At selected sites longitudinal to fiber orientation conduction velocity was 0.618 m/sec, electrogram duration 12 msec, and vector amplitude 76 mV compared with 0.304 m/sec, 18 msec, and 38 mV during conduction transverse to fiber orientation (p less than .05 for all comparisons). Vector mapping of epicardial activation was performed during ventricular tachycardia induced by programmed stimulation in two of five 2-week-old canine myocardial infarcts. Aside from minor irregularities caused by impulse spread around areas of block, vector loops indicated when impulses were spreading away from the area of early epicardial activity and thus directed mapping to the region of earliest activation. We conclude that vector loops generated by summing orthogonal local bipolar electrograms accurately represent the direction of epicardial activation in both normal and infarcted myocardium. Such loops may prove useful in mapping tachycardias and in clarifying details about cardiac activation processes.

Animals↗
PubMed1997

Three-dimensional analysis of multiple wear vectors in retrieved acetabular cups.

The wear of polyethylene acetabular components is an important issue in total hip arthroplasty. The amount of wear has been measured in many studies, but few have addressed other mechanical aspects of wear in vivo. We used the shadowgraph method to measure the wear vectors in 104 retrieved acetabular cups that had been made by a single manufacturer, and we identified more than one wear vector in thirty-one cups (30 per cent). We hypothesized that the most likely explanation of multiple wear vectors was loosening of the acetabular implant with a change in the orientation of the implant in the pelvis. To test this hypothesis, we estimated the extent of motion of the cup in situ on the basis of differences in angles measured from serial radiographs of sixteen hips. We then used linear transformation of the three-dimensional vectors to compare the wear directions measured in the retrieved implants with the wear directions predicted from the radiographs. The change in wear direction predicted on the basis of in vivo motion of the cup never corresponded to the actual difference between wear vectors in the retrieved implants. Our results suggest that multiple wear vectors may be commonly found in retrieved implants, but loosening of the acetabular cup does not account for the multiple vectors. Additional observations suggest that impingement between the edge of the acetabular cup and the femoral component may be associated with multiple wear vectors. These results have implications for the investigation of the general mechanisms of wear in vivo and suggest that clinical or wear-testing scenarios that assume a single direction of wear may underestimate the over-all amount of volumetric wear.

Equipment Failure Analysis↗