Limit theorem of the max-plus walk (Mathematical structures of integrable systems, its deepening and expansion)

Mathematical structures of integrable systems, its deepening and expansion. September 9-11, 2019. edited by Takao Suzuki. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.The max-plus algebra is a semiring on Rmax = R⋁{-∞} with addition ⊕ and multiplication ⊗ defined by ⊕ = max and ⊗ = +, respectively. It is known that eigenvalues of max-plus matrices are equivalent to the maximal average weight of the corresponding directed graph. In [9], authors introduced the max-plus walk which is a walk model on one dimensional lattice on Z over max-plus algebra, and discussed its properties such as the conserved quantities and the steady state. In this paper, we will discuss the limit measure of the max-plus walk

Effects of Assisted Reproduction Technology on Placental Imprinted Gene Expression

We used placental tissue to compare the imprinted gene expression of IGF2, H19, KCNQ1OT1, and CDKN1C of singletons conceived via assisted reproduction technology (ART) with that of spontaneously conceived (SC) singletons. Of 989 singletons examined (ART n = 65; SC n = 924), neonatal weight was significantly lower (P < .001) in the ART group than in the SC group, but placental weight showed no significant difference. Gene expression analyzed by real-time PCR was similar for both groups with appropriate-for-date (AFD) birth weight. H19 expression was suppressed in fetal growth retardation (FGR) cases in the ART and SC groups compared with AFD cases (P < .02 and P < .05, resp.). In contrast, CDKN1C expression was suppressed in FGR cases in the ART group (P < .01), while KCNQ1OT1 expression was hyperexpressed in FGR cases in the SC group (P < .05). As imprinted gene expression patterns differed between the ART and SC groups, we speculate that ART modifies epigenetic status even though the possibilities always exist

Delayed enhancement on cardiac magnetic resonance imaging is a poor prognostic factor in patients with cardiac sarcoidosis

AbstractBackgroundPredictors of ventricular arrhythmias (VA) in patients with cardiac sarcoidosis (CS) remain unclear.Methods and resultsWe examined 61 consecutive CS patients who were admitted to our hospital from April 2002 to March 2012 with a mean follow-up period of 45±31 months for the relationship between delayed enhancement on cardiac magnetic resonance imaging (DE-MRI) and VA or a composite endpoint, including VA, heart failure hospitalization, and cardiovascular mortality. Although there was no significant difference in baseline clinical characteristics between patients with VA and those without it, the former group was characterized as compared with the latter by lower left ventricular (LV) ejection fraction (p<0.05), larger LV systolic/diastolic dimensions (both p<0.05), and a significant association with DE-MRI (p<0.05). Furthermore, the patients with DE-MRI (n=26), as compared with those without it (n=11), had a significantly higher composite endpoint event rate (41% vs. 0%, p<0.05) and a trend toward higher VA (29% vs. 0%, p=0.12). Univariate analysis also showed that impaired LV systolic function was significantly associated with composite events on follow-up.ConclusionsThese results indicate that the presence of DE-MRI is a significant predictor of VA events and poor outcome in CS patients

Biorhythm-Based Awakening Timing Modulation

Abstract-The purpose of the present study is to control human biological rhythm and life cycle by optimization of awakening timing. We developed a wearable interface for controlling awakening time named &quot;BRAC (Biological Rhythm based Awakening timing Controller)&quot;. BRAC could estimate bio-rhythm by pulse wave from finger tip and send awake signal to user. An ordinary alarm clock operates according to set times that have to be set in advance. However, humans have a rhythm in their sleep, which affects one&apos;s sleep depth and wake-up timing. We consider the simplest way to control or reset human&apos;s biorhythm or life style is to optimize the awakening timing and the sleeping hours. We examined the relationship between controlling awakening timing based on autonomous nerve rhythm and equilibrium function. Our findings suggest indicate that the prototype &quot;BRAC&quot; could evaluate user&apos;s biological rhythm and awakes user at the time optimized for physical function of equilibrium