One-neutron removal strength of 7He into 6He using the complex scaling method

We study the one-neutron removal strength of the 7He ground state, which provides us with the 6He-n component in 7He. The He isotopes are described on the basis of the 4He+Xn cluster model (X=1,2,3). The complex scaling method is applied to describe not only the Gamow resonances but also the nonresonant continuum states of valence neutrons, with the correct boundary condition of particle decays. The one-neutron removal strength of 7He into the unbound states of 6He is calculated using the complex-scaled Green's function, in which a complex-scaled complete set of 4He+n+n states is adopted. Using this framework, we investigate resonant and nonresonant contributions of the strength, which individually produce specific structures in the distributions. In addition, we propose a method to obtain the real-value strength using the complex values of spectroscopic factors of Gamow states. As a result, the 6He(2+) resonance is found to give the largest contribution.Comment: 11 pages, 10 figures, Corrected typo

Bandwidth of the cartesian product of two connected graphs

AbstractThe bandwidth B(G) of a graph G is the minimum of the quantity max{|f(x)−f(y)|:xy∈E(G)} taken over all injective integer numberings f of G. The cartesian product of two graphs G and H, written as G×H, is the graph with vertex set V(G)×V(H) and with (u1,v1) adjacent to (u2,v2) if either u1 is adjacent to u2 in G and v1=v2 or u1=u2 and v1 is adjacent to v2 in H. In this paper we investigate the bandwidth of the cartesian product of two connected graphs. For a graph G, we denote the diameter of G and the connectivity of G by D(G) and κ(G), respectively. Let G and H be two connected graphs. Among other results, we show that if B(H)=κ(H) and |V(H)|⩾2B(H)D(G)−min{1,D(G)−1}, then B(G×H)=B(H)|V(G)|. Moreover, the order condition in this result is sharp

The number of vertices of degree 5 in a contraction-critically 5-connected graph

AbstractAn edge of a 5-connected graph is said to be 5-contractible if the contraction of the edge results in a 5-connected graph. A 5-connected graph with no 5-contractible edge is said to be contraction-critically 5-connected. Let V(G) and V5(G) denote the vertex set of a graph G and the set of degree 5 vertices of G, respectively. We prove that each contraction-critically 5-connected graph G has at least |V(G)|/2 vertices of degree 5. We also show that there is a sequence of contraction-critically 5-connected graphs {Gi} such that limi→∞|V5(Gi)|/|V(Gi)|=1/2

Edges not contained in triangles and the distribution of contractible edges in a 4-connected graph

AbstractWe prove results concerning the distribution of 4-contractible edges in a 4-connected graph G in connection with the edges of G not contained in a triangle. As a corollary, we show that if G is 4-regular 4-connected graph, then the number of 4-contractible edges of G is at least one half of the number of edges of G not contained in a triangle

Record of Phototactic Tenebrionidae (Coleoptera) from Lambir Hills, Borneo, with description of a new genus and twelve new species

Fifty-two species of phototactic Tenebrionidae are recorded from Lambir Hills National Park and the secondary forests surrounding the park. One new genus and twelve new species are described under the following names: Anognathena gen. nov., Anognathena neraida sp. nov., Amarygmus hansbremeri sp. nov., Cleomis purpuricollis sp. nov., Cryphaeus irregularis sp. nov., Euhemicera hutanicola sp. nov., Hemicera (Hemicera) vittigera sp. nov., Hemicera (Hemicera) parca sp. nov., Pseudonautes viridinitidus sp. nov., Psydus virgulatus sp. nov., Uloma (Uloma) nyctelia sp. nov., Uloma (Uloma) sarawakensis sp. nov. and Uloma (Uloma) serripunctata sp. nov

A novel polyethylene glycol (PEG)-drug conjugate of Venetoclax, a Bcl-2 inhibitor, for treatment of acute myeloid leukemia (AML)

Background: Venetoclax (VTX) is an anticancer drug. It is a selective Bcl-2 inhibitor that is clinically used for the treatment of patients with lymphomas and leukemias. Treatment with VTX, however, is accompanied by severe adverse events such as tumor lysis syndrome and neutropenia, because VTX readily binds to serum proteins, which results in poor pharmacokinetics and poor tumor tissue concentration. To avoid such adverse events, VTX is administered using a daily or weekly ramp-up schedule that is cumbersome in clinical situations. Aims: To overcome these shortcomings, we prepared a novel polyethylene glycol (PEG)-drug conjugate of VTX (PEG-VTX) and evaluated its cytotoxic effects on acute myeloid leukemia (AML) both in vitro and in vivo. Methods and results: VTX and 4-armed PEG derivatives were covalently attached through an amide bond linker. In a series of in vitro studies, PEG-VTX selectively induced potent growth inhibition of MV4-11 human AML cells via the inducement of Bcl-2-mediated apoptosis. PEG-VTX had the effect of free VTX, presumably due to the protease-mediated release of VTX from the conjugates. In in vivo studies with AML tumor-xenograft mice models, intravenous PEG-VTX promoted sufficient tumor growth suppression. Compared with a regimen of oral free VTX, the intravenous regimen in those studies used a VTX dosage that was 15–30 times smaller for an OCI-AML-2 xenograft model and a dosing regimen that was less frequent for an MV4-11 xenograft model. The most important development, however, was the absence of weight loss related to severe side effects throughout the treatments. An increase in water solubility and the resultant hydrodynamic size of VTX via PEGylation improved the pharmacokinetics of VTX by avoiding protein interactions and lessening the extravasation from blood. The result was an increase in tumor accumulation and a decrease in the nonspecific distribution of VTX. Conclusion: The results of this study suggest that PEG-VTX could be an alternative therapeutic option for the safe and effective treatment of patients with AML

Tenebrionidae (Coleoptera) collected from fruiting bodies of polypores in Sarawak, Malaysia

Additional report of Tenebrionidae collected from fruiting bodies of polypores at eight sites, including seven national parks, in Sarawak, with descriptions of nine new species, Basides nakashizukai sp. nov., Basides ornatimarginatus sp. nov., Basides rhinoceros sp. nov., Boletoxenus persimilis sp. nov., Bolitonaeus grimmi sp. nov., Menimus (Menimus) pygmaeus sp. nov., Menimus (Menimus) sphaericus sp. nov., Neomida sarawakensis sp. nov., Pentaphyllus lambirensis sp. nov.; Three synonyms are proposed: Basides flavofasciatus Pic, 1916 = Basides bifasciatus Motschulsky, 1873; Ischnodactylus sexguttatus Gebien, 1925c = Basides trimaculatus Pic, 1916; Platydema sexpictum Kaszab, 1939 = Basides trimaculatus Pic, 1916

Path factors in claw-free graphs

AbstractA graph G is called claw-free if G has no induced subgraph isomorphic to K1,3. We prove that if G is a claw-free graph with minimum degree at least d, then G has a path factor such that the order of each path is at least d+1