On projections of knots, links and spatial graphs

制度:新 ; 報告番号:甲3007号 ; 学位の種類:博士(理学) ; 授与年月日:2010/3/15 ; 早大学位記番号:新525

On intrinsically knotted or completely 3-linked graphs

We say that a graph is intrinsically knotted or completely 3-linked if every embedding of the graph into the 3-sphere contains a nontrivial knot or a 3-component link any of whose 2-component sublink is nonsplittable. We show that a graph obtained from the complete graph on seven vertices by a finite sequence of $\triangle Y$-exchanges and $Y \triangle$-exchanges is a minor-minimal intrinsically knotted or completely 3-linked graph.Comment: 17 pages, 9 figure

On Nietzsche’s Concept of ‘European Nihilism’

<div><p>Aplog-1 is a simplified analog of the tumor-promoting aplysiatoxin with anti-proliferative and cytotoxic activities against several cancer cell lines. Our recent findings have suggested that protein kinase Cδ (PKCδ) could be one of the target proteins of aplog-1. In this study, we synthesized amide-aplog-1 (<b>3</b>), in which the C-1 ester group was replaced with an amide group, to improve chemical stability <i>in vivo</i>. Unfortunately, <b>3</b> exhibited seventy-fold weaker binding affinity to the C1B domain of PKCδ than that of aplog-1, and negligible anti-proliferative and cytotoxic activities even at 10⁻⁴ M. A conformational analysis and density functional theory calculations indicated that the stable conformation of <b>3</b> differed from that of aplog-1. Since 27-methyl and 27-methoxy derivatives (<b>1</b>, <b>2</b>) without the ability to bind to PKC isozymes exhibited marked anti-proliferative and cytotoxic activities at 10⁻⁴ M, <b>3</b> may be an inactive control to identify the target proteins of aplogs.</p></div

Case report: Thyroid storm in a three-year-old girl presenting with febrile status epilepticus and hypoglycemia

Thyroid storm, though extremely rare in toddlers, requires prompt diagnosis and treatment because it can be fatal if left untreated. However, thyroid storm is not often considered in the differential diagnosis of a febrile convulsion due to its rarity in children. Herein, we report the case of a 3-year-old girl with thyroid storm who presented with febrile status epilepticus. Although the seizure was stopped by diazepam administration, her tachycardia and widened pulse pressure persisted, and severe hypoglycemia was observed. Based on the findings of thyromegaly, a history of excessive sweating and hyperactivity, and a family history of Graves' disease, she was eventually diagnosed with a thyroid storm. The patient was successfully treated with thiamazole, landiolol, hydrocortisone, and potassium iodide. Propranolol, a non-selective β-blocker, has been used to manage tachycardia during thyroid storm. However, a cardio-selective β1-blockers, landiolol hydrochloride, was used in our case to avoid worsening hypoglycemia. Febrile status epilepticus is one of the most common medical emergencies in childhood; it is necessary to rule out treatable underlying critical diseases such as septic meningitis and encephalitis. Thyroid storm should be considered in children presenting with prolonged febrile convulsion accompanied by findings that are not usually observed with febrile convulsions

結び目,絡み目及び空間グラフの準射影図について(結び目とソフトマター物理学:高分子のトポロジー、そして物理学、数学および生物学における関連する話題,研究会報告)

この論文は国立情報学研究所の電子図書館事業により電子化されました。本研究の目的は,射影像から結び目,絡み目及び空間グラフの自明性を調べることである.一部の二重点に上下の情報を与えた射影像を準射影図と名づけ,それについて研究する.この研究を始める契機には,DNA結び目がある.Our purpose in this research is to investigate triviality of knots, links and spatial graphs from projections. We introduce a pseudo diagram which is a projection with over/under information at some double points of it and study them. We have DNA knots as a trigger to start this research