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11.
12.
Summary In a simply connected planar domainD the expected lifetime of conditioned Brownian motion may be viewed as a function on the set of hyperbolic geodesics for the domain. We show that each hyperbolic geodesic induces a decomposition ofD into disjoint subregions
and that the subregions are obtained in a natural way using Euclidean geometric quantities relating toD. The lifetime associated with on each
j
is then shown to be bounded by the product of the diameter of the smallest ball containing
j
and the diameter of the largest ball in
j
. Because this quantity is never larger than, and in general is much smaller than, the area of the largest ball in
j
it leads to finite lifetime estimates in a variety of domains of infinite area.Research of the first author was supported in part by NSF Grant DMS-9100811Research of the second author was supported in part by NSF Grant DMS-9105407 相似文献
13.
A new procedure based on the criterion of maximum interaction between coupled fundamental vibrational modes has been developed to solve the energy factored force field of cis-L2M(CO)4 species. The results for complexes containing a wide range of metal-ligand combinations are compared with the force constants obtained by the Cotton-Kraihanzel and Jernigan methods. The CO stretching frequencies of isotopically-substituted cis-I2Fe(CO)4 species have been calculated as a check on the method. 相似文献
14.
High resolution 13C and 15N NMR spectra have been obtained for powdered CH3CN. The presence of resolved dipolar structure in the 13C spectra permits the conclusion that the symmetry axis of the 13C shielding tensor lies along the CN bond direction. 相似文献
15.
Twenty-six derivatives of [SalenMn(III)](+) (1) bearing halogen, nitro, amino, ether, alkyl, or aryl substituents on the aromatic rings and/or at the imine positions or containing 1,3-propylene-, 1,2-phenylene-, 1,2-cyclohexane-, or 1,2-diphenylethylenediamine in place of ethylenediamine as the bridging moiety have been synthesized. The DNA binding/cleaving properties of these complexes in the presence of terminal oxidants have been examined using DNA affinity cleaving techniques. Active derivatives produced DNA cleavage from the minor groove at sites containing multiple contiguous A:T base pairs. For aryl-substituted derivatives, DNA cleavage efficiency was found to vary with both the identity and position of attachment of substituents. The precise patterns of cleavage at A:T target sites varied with the position of attachment of substituents, but not with the identity of the substituents. The results suggest that substituents alter specificity through both steric and electronic effects. The 3,3'-difluoro and -dichloro derivatives produced cleavage patterns that match those of the parent complex, suggesting that the activated form of 1 produces cleavage from an orientation in which the concave edge of the complex faces away from the floor of the DNA minor groove. Bridge modifications yield complexes with reduced DNA cleaving activity relative to 1. DNA cleaving efficiency was found to vary with both the structure and stereochemistry of the bridge. Cleavage efficiency for the complex derived from (R,R)-cyclohexanediamine was 5 times greater than that for the (S,S) enantiomer. Cleavage patterns produced by the enantiomeric complexes at A:T rich target sites were different, demonstrating enantiospecific recognition and cleavage of right-handed double-helical DNA. 相似文献
16.
A group of symmetrically substituted 2,3-diaryloxiranes have been studied as photoprecursors for carbonyl ylides. The stereochemistry of the adducts obtained upon interception of these 4n pi-transient systems with a variety of dipolarophiles provides information on the mode(s) of electrocyclic opening of the oxiranes to carbonyl ylides, as well as the mechanism of the 4n + 2 cycloaddition process. The stereochemistry of the dipolarophiles is preserved in the cycloadducts, which is consistent with a concerted addition process; however, solvent effects, steric hindrance, and possibly secondary orbital overlap factors all may play a role in determining the product distribution. 相似文献
17.
A conventional ion-exchange amino acid analyser kit has been simply and economically constructed for use with existing high-performance liquid chromatography (HPLC) apparatus. Sequential elution conditions are fully programmable by virtue of a 32K BBC microcomputer interfaced with an elution buffer selection valve and a thermostatically controlled column. Post-column derivatization with o-phthaladehyde-2-mercaptoethanol reagent enables fluorimetric detection at the picomole level. The system enables sensitive amino acid analysis of complex mixtures to be carried out by clinical and research laboratories who already possess HPLC apparatus but whose sample turnover does not merit purchase of a dedicated fully automated analyser. 相似文献
18.
19.
Determination of the sequence of DNA is one of the most important aspects of modern molecular biology. New sequencing methods currently being developed enable DNA sequence to be determined increasingly faster and more efficiently. One of the major advances in sequencing technology is the development of automated DNA sequencers. These utilize fluorescent rather than radioactive labels. A laser beam excites the fluorescent dyes, the emitted fluorescence is collected by detectors, and the information analyzed by computer. Robotic work stations are being developed to perform template preparation and purification, and the sequencing reactions themselves. Research is currently in progress to develop the technology of mass spectrometry for DNA sequencing. Success in this endeavor would mean that the gel electrophoresis step in DNA sequencing could be eliminated. A major innovation has been the application of polymerase chain reaction (PCR) technology to DNA sequence determination, which has led to the development of linear amplification sequencing (cycle sequencing). This very powerful yet technically simple method of sequencing has many advantages over conventional techniques, and may be used in manual or automated methods. Other recent innovations proposed recently to increase speed and efficiency include multiplex sequencing. This consists of pooling a number of samples and processing them as pools. After electrophoresis, the DNA is transferred to a membrane, and sequence images of the individual samples are obtained by sequential hybridizations with specific labeled oligonucleotides. Multiplex DNA sequencing has been used in conjunction with direct blotting electrophoresis to facilitate transfer of the DNA to a membrane. Chemiluminescent detection can also be used in conjunction with multiplex DNA sequencing to visualize the image on the membrane. 相似文献
20.