Magnitude Of Shape Change Research Articles

Soft tissue facial changes among adult females during alignment stage of orthodontic treatment: a 3D geometric morphometric study

BackgroundTo investigate changes in facial morphology during the first six months of orthodontic treatment among adult females receiving orthodontic treatment.Methods43 adult females receiving orthodontic treatment were randomly recruited. 3D facial images were taken at baseline (T0), three months (T1), and six months (T2) after treatment initiation. Spatially dense facial landmarks were digitized to allow for sufficient details in characterization of facial features. 3D geometric morphometrics and multivariate statistics were used to investigate changes in mean and variance of facial shape and facial form associated with treatment.ResultsWe observed statistically significant changes in facial shape across the three treatment stages (p = 0.0022). Pairwise comparisons suggested significant changes from T0 to T1 (p = 0.0045) and from T0 to T2 (p = 0.0072). Heatmap visualization indicated that the buccal and temporal region were invaginated while the labial region became protruded with treatment. The magnitude of shape change was 0.009, 0.004, and 0.010 from T0 to T1, T1 to T2, and T0 to T2, respectively, in unit of Procrustes distance. The average magnitude of change per-landmark was 1.32 mm, 0.21 mm, and 1.34 mm, respectively. Changes in mean facial form were not statistically significant (p = 0.1143). No changes in variance of facial shape were observed across treatment stages (p > 0.05).ConclusionRate of facial changes was twice as fast during the first three months as that during fourth to sixth month. Buccal and temporal region became invaginated while labial region became protruded with treatment.

Shape memory activation can affect cell seeding of shape memory polymer scaffolds designed for tissue engineering and regenerative medicine.

The ability of a three-dimensional scaffold to support cell seeding prior to implantation is a critical criterion for many scaffold-based tissue engineering and regenerative medicine strategies. Shape memory polymer functionality may present important new opportunities and challenges in cell seeding, but the extent to which shape memory activation can positively or negatively affect cell seeding has yet to be reported. The goal of this study was to determine whether shape memory activation can affect cell seeding. The hypothesis was that shape memory activation of porous scaffolds during cell seeding can affect both the number of cells seeded in a scaffold and the distribution (in terms of average infiltration distance) of cells following seeding. Here, we used a porous shape memory foam scaffold programmed to expand when triggered to study cell number and average cell infiltration distance following shape memory activation. We found that shape memory activation can affect both the number of cells and the average cell infiltration distance. The effect was found to be a function of rate of shape change and scaffold pore interconnectivity. Magnitude of shape change had no effect. Only reductions in cell number and infiltration distance (relative to control and benchmark) were observed. The findings suggest that strategies for tissue engineering and regenerative medicine that involve shape memory activation in the presence of a cell-containing medium in vitro or in vivo should consider how recovery rate and scaffold pore interconnectivity may ultimately impact cell seeding.

Geometric morphometric analysis of craniofacial growth between the ages of 12 and 14 in normal humans.

There is great variation of growth among individuals. The question whether patients with different skeletal discrepancies grow differently is biologically interesting but also important in designing clinical trials. The aim of the present study was to evaluate whether growth direction depends on the initial craniofacial pattern. The sample consisted of 350 lateral cephalograms of 175 subjects (91 females and 84 males) followed during normal growth without any orthodontic treatment. The examined ages were 12 (T1) and 14 (T2) years. The cephalograms were obtained from the American Association of Orthodontists Foundation (AAOF) Craniofacial Growth Legacy Collection (Burlington, Fels, Iowa, and Oregon growth studies). We digitally traced 15 curves on each cephalogram, comprehensively covering the craniofacial skeleton, and located 127 points on the curves, 117 of which were sliding semilandmarks and 10 fixed. Procrustes alignment, principal component analysis and two-block partial least squares analysis were performed, after sliding the semilandmarks to minimize bending energy. The first 10 principal components (PCs) described approximately 71 per cent of the total shape variance. PC1 was related to shape variance in the vertical direction (low/high angle skeletal pattern) and PC2 was mainly related to shape variance in the anteroposterior direction (Class II/Class III pattern). PC3 was mainly related to the shape variance of the mandibular angle. All subjects shared a similar growth trajectory in shape space. We did not find any correlation between the initial shape and the magnitude of shape change between T1 and T2, but males showed a greater shape change than females. The direction of shape change was moderately correlated to the initial shape (RV coefficient: 0.14, P < 0.001). The initial shape of the craniofacial complex covaried weakly with the direction of shape change during growth.

QUANTITATIVE CHARACTERISATION OF CORRELATION FUNCTION SHAPES WITH A MULTIVARIATE EDGEWORTH EXPANSION

Second-order HBT correlation functions can be expanded in terms of correlated gaussian ellipsoids and their derivatives. The resulting multidimensional Edgeworth expansion in terms of cumulants and hermite tensors contains 15 fourth-order and 28 sixth-order cumulants which act as shape parameters. Off-diagonal terms dominate both the character and magnitude of shape changes. We show how cumulants can be measured directly and so the procedure has no need for fitting.

Some practical aspects of shape optimization and its influence on intermediate mesh refinement

Recent advances in the field of shape optimization, including the reduced basis methods, advances in automatic mesh generation and the maturity of geometry-based approaches to problem formulation and shape control are beginning to make shape optimization technology a reality in the automated product design process. In this paper, some practical, specifically, geometric aspects of the shape optimization procedures, as related to intermediate mesh refinement, are discussed and categorized into three different groups. The categorization is based on the magnitude of shape changes in the finite element model, during the iterative redesign process. Mesh quality issues are addressed. Two classical problems in shape optimization have been solved using these different procedures and certain realistic conclusions are made based on their implementation and robustness.

Craniofacial growth in apert syndrome as measured by finite-element scaling analysis.

A new tool for the study of biological form change is applied in a comparison of craniofacial growth in normal children and those affected with Apert syndrome. Using finite-element scaling analysis, the magnitude of size change during postnatal growth in the Apert sample was determined to be generally less than normal, and the magnitude of shape change was generally greater than normal. No consistent, statistically significant, alteration from normal growth was defined in the Apert sample, however. There appears to be no consistent effect on general cell and tissue proliferation in Apert syndrome. Rather, specific subpopulations of cells and tissues may be affected differentially over time.