On Euclidean designs and the potential energy

We study Euclidean designs from the viewpoint of the potential energy. For a finite set in Euclidean space, We formulate a linear programming bound for the potential energy by applying harmonic analysis on a sphere. We also introduce the concept of strong Euclidean designs from the viewpoint of the linear programming bound, and we give a Fisher type inequality for strong Euclidean designs. A finite set on Euclidean space is called a Euclidean a-code if any distinct two points in the set are separated at least by a. As a corollary of the linear programming bound, we give a method to determine an upper bound on the cardinalities of Euclidean a-codes on concentric spheres of given radii. Similarly we also give a method to determine a lower bound on the cardinalities of Euclidean t-designs as an analogue of the linear programming bound.Comment: 14 page

On the number of points in a lattice polytope

In this article we will show that for every natural $d$ and $n>1$ there exists a natural number $t$ such that for every $d$-dimensional simplicial complex $\mathcal{T}$ with vertices in $\mathbb{Z}^d$, the number of lattice points in the $t^{\mathrm{th}}$ dilate of $\mathcal{T}$ is exactly $\chi(\mathcal{T})$ modulo $n$, where $\chi(\mathcal{T})$ is the Euler characteristic of $\mathcal{T}$.Comment: 3 page

Rb Regulates DNA Damage Response and Cellular Senescence through E2F-Dependent Suppression of N-Ras Isoprenylation

Oncogene-induced cellular senescence is well documented, but little is known about how infinite cell proliferation induced by loss of tumor suppressor genes is antagonized by cellular functions. Rb heterozygous mice generate Rb-deficient C cell adenomas that progress to adenocarcinomas following biallelic loss of N-ras. Here, we demonstrate that pRb inactivation induces aberrant expression of farnesyl diphosphate synthase, many prenyltransferases, and their upstream regulators sterol regulatory element-binding proteins (SREBPs) in an E2F-dependent manner, leading to enhanced isoprenylation and activation of N-Ras. Consequently, elevated N-Ras activity induces DNA damage response and p130-dependent cellular senescence in Rb-deficient cells. Furthermore, Rb heterozygous mice additionally lacking any of Ink4a, Arf, or Suv39h1 generated C cell adenocarcinomas, suggesting that cellular senescence antagonizes Rb-deficient carcinogenesis. © 2009 Elsevier Inc. All rights reserved

1．2012年度の事業報告

活動の概要1)　所蔵資料の情報共有化　業務報告2)　プロジェクト型共同研究の推進　業務報告3)　事業運営の総合的推進　業務報

Association between the rs1465040 single-nucleotide polymorphism close to the transient receptor potential subfamily C member 3 (TRPC3) gene and postoperative analgesic requirements

AbstractAn association between postoperative analgesic requirements in subjects who underwent orthognathic surgery and the rs1465040 single-nucleotide polymorphism close to the transient receptor potential subfamily C member 3 (TRPC3) gene was suggested by our previous genome-wide association study. To verify this association, we analyzed the association between the rs1465040 SNP and analgesic requirements, including opioid requirements, after open abdominal surgery. The association between the rs1465040 SNP and postoperative analgesic requirements was confirmed in the open abdominal surgery group (P = 0.036), suggesting that the TRPC3 SNP may contribute to predicting postoperative analgesic requirements

Two cases of multiple infarctions due to vertebral arterial occlusion associated with atlantoaxial subluxation caused by rheumatoid arthritis

Case 1: A 58-year-old woman with rheumatoid arthritis (RA) suffered from pontine and cerebellar infarctions and underwent three-dimensional computed tomography angiography (3D-CTA) of the vertebral artery (VA) with left-sided rotation of the head. This revealed a destroyed right atlantoaxial (AA) joint and right VA occlusion, which had caused the infarction. No recurrent infarctions have been observed after transarticular screw fixation (Magerl technique) was performed. Case 2: A 68-yearold woman with RA also suffered from pontine and cerebellar infarctions and underwent 3D-CTA of the VA with right-sided rotation of the head. This revealed a destroyed left AA joint and left VA occlusion, which had caused the infarction. No recurrentinfarctions have been observed after posterior fusion between the occiput and 3rd cervical vertebra was performed. In both cases of RA, who had multiple infarctions due to VA occlusion and a temporary thrombus formation, 3D-CTA in a rotated position helped to diagnose arterial occlusion. In addition, posterior fusion of the AA joint was a useful surgical technique

1．2011年度の事業報告

活動の概要1）所蔵資料の情報共有化　業務報告2）プロジェクト型共同研究の推進　業務報告3）事業運営の総合的推進　業務報