It is shown that classically known generalizations of the Chazy equation and Darboux–Halphen system are reductions of the self-dual Yang–Mills (SDYM) equations with an infinite-dimensional gauge algebra. The general ninth-order Darboux–Halphen system is reduced to a Schwarzian equation which governs conformal mappings of regions with piecewise circular sides. The generalized Chazy equation is shown to correspond to special mappings where either the triangles are equiangular or two of the angles are π/3. 相似文献
Currently, 188Re is obtained from 188W/188Re chromatographic generator containing alumina which has a limited capacity (~80 mg Wg−1) for 188W. This results in high bolus volumes of 188Re, which often needs to be concentrated before radiolabeling. We have demonstrated the feasibility of using polymer embedded nano crystalline titania (TiP), a novel high capacity sorbent material (~300 mg Wg−1), for developing a 188W/188Re chromatographic generator. A TiP based chromatographic 188W/188Re generator was developed in which 188Re could be eluted with 0.9% saline solution. About 90% of the 188Re could be recovered in the first 4–5 mL of total activity with more than 80% yield. The purity of 188Re is adequate for clinical applications.
Iron(III) complexes [Fe( L )( L′ )(NO3)]—in which L is phenyl‐N,N‐bis[(pyridin‐2‐yl)methyl]methanamine ( 1 ), (anthracen‐9‐yl)‐N,N‐bis[(pyridin‐2‐yl)methyl]methanamine ( 2 ), (pyreny‐1‐yl)‐N,N‐bis[(pyridin‐2‐yl)methyl]methanamine ( 3 – 5 ), and L′ is catecholate ( 1 – 3 ), 4‐tert‐butyl catecholate ( 4 ), and 4‐(2‐aminoethyl)‐benzene‐1,2‐diolate ( 5 )—were synthesized and their photocytotoxic properties examined. The five electron‐paramagnetic complexes displayed a FeIII/FeII redox couple near ?0.4 V versus a saturated calomel electrode (SCE) in DMF/0.1 m tetrabutylammonium perchlorate (TBAP). They showed unprecedented photocytotoxicity in red light (600–720 nm) to give IC50≈15 μM in various cell lines by means of apoptosis to generate reactive oxygen species. They were ingested in the nucleus of HeLa and HaCaT cells in 4 h, thereby interacting favorably with calf thymus (ct)‐DNA and photocleaving pUC19 DNA in red light of 785 nm to form hydroxyl radicals. 相似文献
Energy dispersive X-ray micro-analysis with simultaneous visual display by secondary electron emission mode of scanning electron microscopy reveals the occurrence of barium, in addition to silicon, phosphorus, sulphur, potassium and calcium in the corneal surface of the barking deer, Muntiacus muntjak. The lenticular surface on the other hand shows the presence of aluminium silicon, phosphorus and sulphur but no barium.Quantitative data obtained by using the ZAF-4/FLS programme (Link) shows that the relative percentage of barium is the highest of all the elements detected in the cornea, whereas in the lens-surface, sulphur constitutes the maximum percentage. 相似文献
Densities ρ and ultrasonic speeds u of the binary mixtures of tetrahydrofuran (THF) with 1-butanol and tert-butanol, at 30°C, over the entire composition range
were measured. From these data isentropic compressibility, Ks, intermolecular free length Lf, relative association RA, acoustic impedance Z, molar sound speed Rm, deviations in isentropic compressibility ΔKs, and excess volume VE were calculated. The variation of these parameters with composition of the mixture helps us in understanding the nature and
extent of interaction between unlike molecules in the mixtures. Further, theoretical values of ultrasonic speed were evaluated
using theories and empirical relations. The relative merits of these theories and relations were discussed. 相似文献
We study the rheology of semi-dilute solutions of the sodium salt of calf-thymus DNA in the linear and nonlinear regimes.
The frequency response data can be fitted very well to the hybrid model with two dominant relaxation times τ0 and τ1. The ratio (τ0/τ1) ∼5 is seen to be fairly constant on changing the temperature from 20 to 30°C. The shear rate dependence of viscosity can
be fitted to the Carreau model. 相似文献
The oxo-bridged diiron(III) complex [{Fe(L-his)(dpq)}(2)(micro-O)](2+) having L-histidine (L-his) and dipyrido[3,2-d:2',3'-f]quinoxaline (dpq) bound to Fe(III) exemplifies an iron-based model photonuclease that shows visible light-induced DNA double-strand cleavage in a photodecarboxylation pathway and models iron-bleomycin activity. 相似文献
We demonstrate multiwavelength lasing of resonant modes in linear (L3) microcavities in a triangular-lattice 2D photonic crystal (PC) slab. The broad spontaneous emission spectrum from coupled quantum dots, modified by the PC microcavity, is studied as a function of the intensity of incident optical excitation. We observe lasing with an ultralow-threshold power of approximately 600 nW and an output efficiency of approximately 3% at threshold. Two other resonant modes exhibit weaker turnon characteristics and thresholds of approximately 2.5 and 200 microW, respectively. 相似文献
The Chazy equation y?= 2yy″? 3y′2 is derived from the automorphic properties of Schwarz triangle functions S(α, β, γ; z) . It is shown that solutions y which are analytic in the fundamental domain of these triangle functions, only correspond to certain values of α, β, γ . The solutions are then systematically constructed. These analytic solutions provide all known and one new parameterization of the Eisenstein series P, Q, R introduced by Ramanujan in his modular theories of signature 2, 3, 4, and 6. 相似文献