A dynamic radial basis function (DRBF) metamodel is derived and validated, based on stochastic RBF and uncertainty quantification (UQ). A metric for assessing metamodel efficiency is developed and used. The validation includes comparisons with a dynamic implementation of Kriging (DKG) and static metamodels for both deterministic test functions (with dimensionality ranging from two to six) and industrial UQ problems with analytical and numerical benchmarks, respectively. DRBF extends standard RBF using stochastic kernel functions defined by an uncertain tuning parameter whose distribution is arbitrary and whose effects on the prediction are determined using UQ methods. Auto-tuning based on curvature, adaptive sampling based on prediction uncertainty, parallel infill, and multiple response criteria are used. Industrial problems are two UQ applications in ship hydrodynamics using highfidelity computational fluid dynamics for the high-speed Delft catamaran with stochastic operating and environmental conditions: (1) calm water resistance, sinkage and trim with variable Froude number; and (2) mean value and root mean square of resistance and heave and pitch motions with variable regular head wave. The number of high-fidelity evaluations required to achieve prescribed error levels is

Polymeric fibrous scaffolds based on the biocompatible and biodegradable three-arm-branched star poly(ε-caprolactone) (Mw = 189,000 g/mol) were prepared by a melt electrospinning technique. The possibility of processing polymers without the use of organic solvents is one of the main advantages over solution electrospinning. Scaffolds were biologically tested for their ability of supporting skin tissue regeneration. For this purpose, mouse embryo fibroblast (BALB/3T3 clone A31) and human keratinocyte (HaCaT) cell lines were selected as models, and seeded onto the polymeric supports both as single and co-culture. Cell viability, proliferation, and collagen production were assessed by WST-1 assay and Direct Red 80 dye, respectively. Cell morphology and colonization of the supports were evaluated by scanning electron microscopy and confocal laser scanning microscopy. Results highlighted that the star poly(ε-caprolactone) scaffolds were able to promote collagen production by fibroblasts. In co-culture studies, scaffolds supported adhesion, proliferation, and spatial organization of both cell lines. By virtue of the observed results, the developed polymeric scaffolds appeared suitable as biodegradable and biocompatible three-dimensional supports for skin tissue regeneration in wound healing dressing.

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