In this paper, we introduce the notions of hom-Lie 2-algebras, which is the
categorification of hom-Lie algebras, $HL_\infty$-algebras, which is the
hom-analogue of $L_\infty$-algebras, and crossed modules of hom-Lie algebras.
We prove that the category of hom-Lie 2-algebras and the category of 2-term
$HL_\infty$-algebras are equivalent. We give a detailed study on skeletal
hom-Lie 2-algebras. In particular, we construct the hom-analogues of the string
Lie 2-algebras associated to any semisimple involutive hom-Lie algebras. We
also proved that there is a one-to-one correspondence between strict hom-Lie
2-algebras and crossed modules of hom-Lie algebras. We give the construction of
strict hom-Lie 2-algebras from hom-left-symmetric algebras and symplectic
hom-Lie algebras.Comment: 21 pages, Journal of Algebra, 376 (2013) 174-19
The purity of a drug substance can influence its toxicity and potency, so impurities must be specifically determined. In the case of synthetic oligodeoxyribonucleotide drugs, however, product complexity makes complete impurity speciation difficult. The goal of the present work was to develop a new analytical method for speciation of individual internal (n-1)mer impurities arising from formal nucleotide deletion in synthetic oligodeoxyribonucleotides. A complete series of oligodeoxyribonucleotide probes were designed, each complementary to an (n-1)mer deletion sequence of the drug in question. Glass plates were used as a solid support for individually immobilizing the entire probe array. The total mixture of internal (n-1) length impurities was isolated from a synthetic oligodeoxyribonucleotide by PAGE and labeled with 35S. Under stringently optimized conditions, only the perfectly sequence-matched oligodeoxyribonucleotide hybridized to each probe, while all other deletion sequences were removed by washing with buffer. The 35S signal intensity of the bound oligodeoxyribonucleotide was proportional to the concentration of each (n-1)mer deletion sequence in the analyte solution. This method has been applied to a number of synthetic phosphorothioate oligodeoxy-ribonucleotide lots and shown to be reliable for speciation and relative quantitation of the internal (n -1)mer deletion sequences present.
Recent work has demonstrated the advantages of ultrathin slab gel electrophoresis for fluorescence-based automated DNA sequence analysis. The increased heat transfer efficiency of the thin (typically 50-100 pm) gels permits higher electric fields to be employed with concomitant increases in separation speed. Issues arise, however, in introducing the laser beam used for fluorescence excitation into the thin gels. This paper presents methods for bringing the excitation beam into the thin gels from the side. This permits a low-power air-cooled aigon ion laser source to be utilized and produces much lower fluorescence and scattering background than alternative approaches. The beam is effectively trapped between the plates due to the high efficiency of reflection at the lowangle grazing incidence of the beam. A theoretical model describing beam throughput was developed which agrees well with experimental observations. In this model, attenuation of the beam intensity is attributed to four factors: aperturing at the entrance of the gel; reflective losses upon entrance into the gel; scattering during transmission through the gel; and reflective losses occurring upon successive "bounces" of the beam from the gelglass interface during propagation of the beam.Electrophoresis in thin gels provides increased heat transfer efficiency, permitting larger electric fields to be employed with correspondingly more rapid separations.* 1-2 This is of particular interest in the area of fluorescence-based automated DNA sequence analysis, where there is a tremendous need for increased throughput from sequencing instruments.3 Kostichka et al. demonstrated an order-of-magnitude increase in separation speed for fluorescence-based DNA sequencing in ultrathin slab gels.4In their work, 18 samples were loaded across an 18 mm width of a 75 pm ultrathin gel, which was cooled from the bottom with a
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