Let us say that an element of a given family A of subsets of R can be reconstructed using n test sets if there exist T1, . . . , Tn ⊂ R such that whenever A,B ∈ A and the Lebesgue measures of A∩ Ti and B ∩ Ti agree for each i = 1, . . . , n then A = B. Our goal will be to find the least such n. We prove that ifA consists of the translates of a fixed reasonably nice subset of R then this minimum...

The adsorption and dissociation of NH(3) on the clean and hydroxylated TiO(2) rutile (110) surfaces have been investigated by the first-principles calculations. The monodentate adsorbates such as H(3)N-Ti(a), H(2)N-Ti(a), N-Ti(a), H(2)N-O(a), HN-O(a), N-O(a) and H-O(a), as well as the bidentate adsorbate, Ti-N-Ti(a) can be formed on the clean surface. It is found that the hydroxyl group enhance...

The effect of depositing a collagen (CG)-poly-ε-caprolactone (PCL) nanofiber mesh (NFM) at the microgrooves of titanium (Ti) on the mechanical stability and osseointegration of the implant with bone was investigated using a rabbit model. Three groups of Ti samples were produced: control Ti samples where there were no microgrooves or CG-PCL NFM, groove Ti samples where microgrooves were machined...

The aim of this study was to investigate biologic function of bone morphorgenic protein-2 (rhBMP-2) immobilized on the heparin-grafted Ti surface. Ti surfaces were first modified by 3-aminopropyltriethoxysilane (ATPES), followed by grafting of heparin. BMP-2 was then immobilized on the heparin-grafted Ti surfaces. Pristine Ti and functionalized Ti surfaces were characterized by X-ray photoelect...

BACKGROUND Ti and its alloys have been widely used as orthopedic and dental implants due to their outstanding mechanical properties and biocompatibility. However, long time is required to form bond between Ti implant and surrounding tissues. Therefore, these implants necessitate surface treatment such as mechanical/chemical treatment and coating of bioactive materials for improving the osseoint...

SiO(2) pillared layered titanate (SiO(2)-H(2)Ti(4)O(9)) was prepared via intercalating organosilanes into the interlayers of the layered K(2)Ti(4)O(9) followed by calcination at 500 degrees C. The resulting materials were characterized using XRD, N(2) adsorption-desorption isotherms, UV-vis spectra, IR spectroscopy and Raman spectroscopy. The photocatalytic activity of SiO(2)-H(2)Ti(4)O(9) was ...

In order to investigate the relationship between phase/microstructure and various properties of Ti-xAg alloys, a series of Ti-xAg alloys with Ag contents ranging from 5 to 20 wt% were prepared. The microstructures were characterized using X-ray diffractometry (XRD), optical microscopy (OM), scanning electron microscopy (SEM) and transmission electron microscopy (TEM). All of the Ti-xAg alloys s...