Effects of hyperons in binary neutron star mergers

Numerical simulations for the merger of binary neutron stars are performed in full general relativity incorporating both nucleonic and hyperonic finite-temperature equations of state (EOS) and neutrino cooling. It is found that even for the hyperonic EOS, a hypermassive neutron star is first formed after the merger for the typical total mass ≈2.7M(⊙), and subsequently collapses to a black hole (BH). It is shown that hyperons play a substantial role in the postmerger dynamics, torus formation around the BH, and emission of gravitational waves (GWs). In particular, the existence of hyperons is imprinted in GWs. Therefore, GW observations will provide a potential opportunity to explore the composition of neutron star matter.     

Inverse bifurcation problems for diffusive Holling–Tanner population model

We consider the equation which is called Holling–Tanner population model where is a bifurcation parameter and are unknown constants. In this paper, we determine the unknown constants from the asymptotic behavior of the bifurcation curve , where .     

Distribution, absorption and excretion of 198Au-colloid and Na251CrO4 in the chicken (author's transl)]

In order to clarify the suitability of 198Au-colloid and Na251CrO4 as a marker of transit of the gastrointestinal content of the chicken, the distribution, absorption and excretion of 198Au-colloid and Na251CrO4 in the chicken were examined. Orally administered 198Au-colloid was not absorbed by the gastrointestinal tract and excreted into feces. Intravenously injected 198Au-colloid was not excreted into the gastrointestinal tract through the gastrointestinal wall. On the other hand, orally administered Na251CrO4 was relatively well absorbed by the gastrointestinal tract and distributed over a whole body. Intravenously injected Na251CrO4 was excreted into the gastrointestinal tract through the gastrointestinal wall and bile ducts. It seemed that 198Au-colloid was not adhered to the gastrointestinal mucosa and consequently, the transport of 198Au-colloid in the gastrointestinal tract was not delayed. It is concluded that 198Au-colloid is highly suitable as a marker of gastrointestinal transit of the chicken but Na251CrO4 is unsuitable.     

Determination of selenomethionine by high performance liquid chromatography-direct hydride generation-atomic absorption spectrometry

A simple, reliable, trace determination of selenomethionine (Semet) based on a direct hydride generation atomic absorption spectrometric method was developed using sodium tetrahydroborate (0.3% in 0.2% NaOH) and hydrochloric acid (3 M). The method excluded any chemical pretreatment prior to hydride generation (HG). The optimized HG system was successfully coupled with the HPLC system. The detection limit (3σ of blank; n=5), reproducibility (R.S.D. of three successive analyses/day, performed on three different days), and repeatability (R.S.D. of three successive analyses) of the method were 1.08 ng ml⁻¹, 9.8% for 9.04 ng ml⁻¹ and 2.1–9.5% for 30.0–1.27 ng ml⁻¹ Semet as Se (standards prepared in Milli-Q water). Calibration graph was linear up to 30 ng ml⁻¹. This HPLC-HG-AAS method is very promising and successfully determined Semet (spiked) in human urine.     

Synthesis and properties of cross-linkable DNA duplex using 4-amino-2-oxo-6-vinyl-1,3,5-triazine

We synthesized the DNA oligonucleotide containing a new cross-linkable 4-amino-2-oxo-6-vinyltriazine (AOVT) nucleobase analogue (Et-AOVT) and evaluated these properties. Our results of the cross-link assay and thermal denaturing assay of duplexes containing AOVT demonstrated that the additional aza of AOVT has an impact on the duplex stability and crosslink properties. Our data suggests that the additional 5-aza of AOVT is involved in the hydrogen bonding with the complementary guanine, and this hydrogen bonding system successfully flipped the reactive vinyl group out to the major groove of the duplex demonstrating a new paradigm of a “cross-linkable duplex”.     

Anionic polymerization of N,N‐dialkyl‐2‐methylenebut‐3‐enamide: Effect of alkyl substituents on polymerization behavior

Anionic polymerizations of three 1,3‐butadiene derivatives containing different N,N‐dialkyl amide functions, N,N‐diisopropylamide (DiPA), piperidineamide (PiA), and cis‐2,6‐dimethylpiperidineamide (DMPA) were performed under various conditions, and their polymerization behavior was compared with that of N,N‐diethylamide analogue (DEA), which was previously reported. When polymerization of DiPA was performed at ?78 °C with potassium counter ion, only trace amounts of oligomers were formed, whereas polymers with a narrow molecular weight distribution were obtained in moderate yield when DiPA was polymerized at 0 °C in the presence of LiCl. Decrease in molecular weight and broadening of molecular weight distribution were observed when polymerization was performed at a higher temperature of 20 °C, presumably because of the effect of ceiling temperature. In the case of DMPA, no polymer was formed at 0 °C and polymers with relatively broad molecular weight distributions (M_w/M_n = 1.2) were obtained at 20 °C. The polymerization rate of PiA was much faster than that of the other monomers, and poly(PiA) was obtained in high yield even at ?78 °C in 24 h. The microstructure of the resulting polymers were exclusively 1,4‐ for poly(DMPA), whereas 20–30% of the 1,2‐structure was contained in poly(DiPA) and poly(PiA). © 2010 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 48: 3714–3721, 2010     

Two-Parameter Eigenvalue Problems in Nonlinear Second Order Differential Equations

Two-parameter nonlinear second order differential equations are studied. By using a variational method we characterize the variational eigenvalues μ = μ(λ) and study the properties of μ(λ). Furthermore, asymptotic formulas of μ(λ) as λ → ±∞ are established.     

Quantitative characterization of spatiotemporal patterns II

Disorderness of spatiotemporal patterns which are obtained by nonlinear partial differential equations is characterized quantitatively. The mean Lyapunov exponent for a nonlinear partial differential equation is given. The local Lyapunov exponent which is a finite time average of the mean Lyapunov exponent is shown to have close relation to the spatiotemporal patterns. It is suggested that the systems which are described by nonlinear partial differential equations are characterized statistically through the probability distribution function of the local Lyapunov exponent.