7,632 research outputs found
Taut distance-regular graphs and the subconstituent algebra
We consider a bipartite distance-regular graph with diameter at least
4 and valency at least 3. We obtain upper and lower bounds for the local
eigenvalues of in terms of the intersection numbers of and the
eigenvalues of . Fix a vertex of and let denote the corresponding
subconstituent algebra. We give a detailed description of those thin
irreducible -modules that have endpoint 2 and dimension . In an earlier
paper the first author defined what it means for to be taut. We obtain
three characterizations of the taut condition, each of which involves the local
eigenvalues or the thin irreducible -modules mentioned above.Comment: 29 page
The Terwilliger algebra of an almost-bipartite P- and Q-polynomial association scheme
Let denote a -class symmetric association scheme with , and
suppose is almost-bipartite P- and Q-polynomial. Let denote a vertex of
and let denote the corresponding Terwilliger algebra. We prove
that any irreducible -module is both thin and dual thin in the sense of
Terwilliger. We produce two bases for and describe the action of on
these bases. We prove that the isomorphism class of as a -module is
determined by two parameters, the dual endpoint and diameter of . We find a
recurrence which gives the multiplicities with which the irreducible
-modules occur in the standard module. We compute this multiplicity for
those irreducible -modules which have diameter at least .Comment: 22 page
Impact of varying intensities of blue-light exposure on 3T3 cells
There is the need to develop a compatible sterilisation method for hybrid biomaterials. High-intensity blue light in the 405 nm region has been shown to be an effective bacterial decontamination method [1], to cause no noticeable damage to the gross structure of type-I collagen monomer (when treated at 10 mW/cm2) [2], and to have no noticeable effect on 3T3 cell viability, growth rate, redox state or lactate dehydrogenase (LDH) leakage (at 1.0 mW/cm2) [2]. The purpose of this research was to investigate the effect of varying the blue-light intensity on the 3T3 cell response parameters
Combined treatment of biomatrices with nisin and pulsed electric fields as a potential decontamination method?
Pulsed electric field (PEF) treatment has been shown to achieve bacterial inactivation in collagen gels whilst retaining the ability of the collagen to function as a biomaterial [1, 2]. Nisin, an antimicrobial peptide, has been used widely as a food preservative and has shown bactericidal action against a number of Gram-positive bacteria [3]. The potential of nisin to increase the efficacy of PEF disinfection of collagen gels to be used for tissue engineering applications was investigated
DT fusion neutron irradiation of BNL-LASL superconductor wires, BPNL nickel and molybdenum, ORNL magnesium oxide, UW-LLL metallic foils, and LLL aluminum tensile
The experimental procedure for testing the samples is given. No test results are indicated. (MOW
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