Reactivity Boundaries to Separate the Fate of a Chemical Reaction Associated with an Index-two saddle

Reactivity boundaries that divide the destination and the origin of trajectories are of crucial importance to reveal the mechanism of reactions. We investigate whether such reactivity boundaries can be extracted for higher index saddles in terms of a nonlinear canonical transformation successful for index-one saddles by using a model system with an index-two saddle. It is found that the true reactivity boundaries do not coincide with those extracted by the transformation taking into account a nonlinearity in the region of the saddle even for small perturbations, and the discrepancy is more pronounced for the less repulsive direction of the index-two saddle system. The present result indicates an importance of the global properties of the phase space to identify the reactivity boundaries, relevant to the question of what reactant and product are in phase space, for saddles with index more than one

Reactivity Boundaries to Separate the Fate of a Chemical Reaction Associated with Multiple Saddles

Reactivity boundaries that divide the origin and destination of trajectories are crucial of importance to reveal the mechanism of reactions, which was recently found to exist robustly even at high energies for index-one saddles [Phys. Rev. Lett. 105, 048304 (2010)]. Here we revisit the concept of the reactivity boundary and propose a more general definition that can involve a single reaction associated with a bottleneck made up of higher index saddles and/or several saddle points with different indices, where the normal form theory, based on expansion around a single stationary point, does not work. We numerically demonstrate the reactivity boundary by using a reduced model system of the $H^+_5$ cation where the proton exchange reaction takes place through a bottleneck made up of two index-two saddle points and two index-one saddle points. The cross section of the reactivity boundary in the reactant region of the phase space reveals which initial conditions are effective in making the reaction happen, and thus sheds light on the reaction mechanism.Comment: 12 pages, 7 figure

A limitation on security evaluation of cryptographic primitives with fixed keys

In this paper, we discuss security of public‐key cryptographic primitives in the case that the public key is fixed. In the standard argument, security of cryptographic primitives are evaluated by estimating the average probability of being successfully attacked where keys are treated as random variables. In contrast to this, in practice, a user is mostly interested in the security under his specific public key, which has been already fixed. However, it is obvious that such security cannot be mathematically guaranteed because for any given public key, there always potentially exists an adversary, which breaks its security. Therefore, the best what we can do is just to use a public key such that its effective adversary is not likely to be constructed in the real life and, thus, it is desired to provide a method for evaluating this possibility. The motivation of this work is to investigate (in)feasibility of predicting whether for a given fixed public key, its successful adversary will actually appear in the real life or not. As our main result, we prove that for any digital signature scheme or public key encryption scheme, it is impossible to reduce any fixed key adversary in any weaker security notion than the de facto ones (i.e., existential unforgery against adaptive chosen message attacks or indistinguishability against adaptive chosen ciphertext attacks) to fixed key adversaries in the de facto security notion in a black‐box manner. This result means that, for example, for any digital signature scheme, impossibility of extracting the secret key from a fixed public key will never imply existential unforgery against chosen message attacks under the same key as long as we consider only black‐box analysis

The Biological Role and Clinical Implication of MicroRNAs in Osteosarcoma

The main causes of death in osteosarcoma (OS) patients are the development of distant metastasis and resistance to chemotherapy. Clarification of the pathophysiological molecular mechanisms that contribute to the malignant phenotype in OS and identification of a molecular target, such as a diagnostic marker, prognostic predictor, or chemosensitivity sensor, are strongly desired to develop therapeutics for OS patients. Accumulating evidence has demonstrated that microRNAs (miRNAs), small endogenous single‐stranded noncoding RNAs, play critical roles not only in biological but also pathological processes such as cancer. miRNAs can function as oncogenes or tumor‐suppressive genes depending on the mRNA they target. They are strongly associated with OS invasion, metastasis, and chemoresistance as well as OS cancer stemness. Furthermore, miRNAs are associated with commonly altered genes, such as TP53 and RB1. Additionally, recent global microRNA expression analyses have identified specific miRNAs correlated with the clinical stage and the response to chemotherapy. In this chapter, we summarize the current understanding of the pathological roles of miRNAs as well as their potential utility as OS biomarkers

High Subsidence Rate After Primary Total Hip Arthroplasty Using a Zweymüller-type Noncemented Implant With a Matte Surface

INTRODUCTION: The surface topography is one key factor that affects the initial fixation of prosthesis in total hip arthroplasty (THA). We aimed to evaluate the mid-term results of a Zweymüller-type noncemented femoral implant (Elance stem) that had a matte surface with a target average roughness of 1.0 to 2.5 μm. The prosthesis was subjected to alkali and heat treatments to enhance its bone-bonding property. METHODS: In this retrospective study, 30 THAs (27 patients) done using an Elance stem from September 2012 to October 2014 were evaluated clinically and radiographically for a mean follow-up of 6.3 ± 1.7 years after the index THA. RESULTS: Stem revision was indicated for six hips (20%). The survival rate with stem revision for any reason was 86.4% (95% confidence interval, 68.9%-94.8%) at 5 years. Stem subsidence >5 mm was noted in 17 hips (56.7%). The survival rate with stem subsidence >5 mm as the end point was 46.6% (95% confidence interval, 29.9%-64.2%) at 5 years. CONCLUSION: The Zweymüller-type noncemented stem with a low-roughness matte surface demonstrated a high subsidence rate, although the bone-bonding property was potentially enhanced by the alkali and heat treatments. Surgeons should be aware that an insufficient surface roughness could lead to poor mechanical fixation of the noncemented stem, even with an appropriate stem geometry and surface chemistry

Discrepancy in the Responsiveness to Hip Range of Motion Between Harris and Oxford Hip Scores

Background: The primary objectives of total hip arthroplasty (THA) include mobility improvement and pain relief; however, the correlation between hip range of motion (ROM) and function remains unclear. We aimed to explore how ROM affects hip functions after THA and compare the responsiveness of each component of the modified Harris Hip Score (mHHS) and Oxford Hip Score (OHS) to preoperative and postoperative ROM. Methods: This prospective observational study involved 120 patients who underwent unilateral THA. Univariate regression analyses were performed using the University of California Los Angeles activity score and mHHS and OHS to determine the effects of preoperative and postoperative flex ROM on clinical scores at 12 months. Multivariate regressions were performed to adjust for the confounding effects of patient factors: age, sex, body mass index, and diagnosis. Results: A larger preoperative flexion ROM was associated with a higher score in the mHHS socks component (standardized coefficient [SC] = 0.26, P = .0041) at 12 months; the effect on the OHS socks component was not significant (P = .34). A larger flexion ROM at 12 months was associated with higher scores in the mHHS support (SC = 0.21, P = .026), stairs (SC = 0.35, P = .0002), and socks (SC = 0.32, P = .0007) components but had no significant effect on any OHS component. The effects of ROM on University of California Los Angeles activity score were limited. Conclusions: A discrepancy was noted in the responsiveness to ROM between the two major measurement tools; this difference might be because mHHS and OHS are surgeon- and patient-administered questionnaires, respectively. This discrepancy also suggests that the patients have higher satisfaction than that assumed by the surgeons

Difference in Therapeutic Strategies for Joint‐Preserving Surgery for Non‐Traumatic Osteonecrosis of the Femoral Head between the United States and Japan: A Review of the Literature

For patients with non-traumatic osteonecrosis of the femoral head (ONFH), core decompression (CD) and bone grafts (BG) are mainly performed in the West, while osteotomy is found to be predominant in Japan. It is not well recognized how the surgical procedures for joint preservation in patients with ONFH are completely different between the United States and Japan. This paper identifies the contexts and the differences in treatment strategies for ONFH between the two countries. We compared the surgical trends of the two countries over three periods, 1997-2001, 2002-2006, and 2007-2011 (the US data for the third period was 2007-2008), based on a 2014 US paper and a 2013 national publication in Japan. We compared the details of surgery for non-traumatic ONFH under the same conditions in the two reports. For the period 1997-2001, the rates of surgeries for ONFH in the US were as follows: total hip arthroplasty (THA), 86%; CD, 10%; and osteotomy, 0.4%. In Japan, THA was 61%, osteotomy 38%, and CD 0%. For the recent period, 2007-2011 (US 2007-2008), the rate of THA was 91%, CD 6%, and osteotomy 0.1%, in the US, compared to a THA rate of 73%, CD 0%, and osteotomy 26% in Japan. The results for the interim period (2002-2006) were between the old and new data. The use of joint-preserving surgery for ONFH differs greatly between the US and Japan. The first-line joint-preserving surgery was CD in the US and osteotomy in Japan. Each procedure was rarely done in the other country. From about 2000 to 2010, the percentage of THA increased in both countries. The proportion of joint-preserving surgery (CD in the US and osteotomy in Japan) declined. The decrease in joint-preserving procedures may be largely attributed to improved long-term outcomes of THA due to technological advances. There is also a reluctance for young ONFH patients to undergo joint-preserving procedures, such as osteotomy, that require long-term hospitalization

Cardy states as idempotents of fusion ring in string field theory

With some assumptions, the algebra between Ishibashi states in string field theory can be reduced to a commutative ring. From this viewpoint, Cardy states can be identified with its idempotents. The algebra can be identified with a fusion ring for the rational conformal field theory and a group ring for the orbifold. This observation supports our previous observation that boundary states satisfy a universal idempotency relation under closed string star product.Comment: 8 page

Similarity in Sequential Bilateral Transient Osteoporosis of the Hip

CASE: Three middle-aged men with habitual drinking developed unilateral hip pain and were referred for osteonecrosis of the femoral head (ONFH). Radiographs showed osteopenia, and magnetic resonance imaging (MRI) showed diffuse bone marrow edema (BME). After several months, the patients' symptoms resolved and radiographic images normalized. More than 6 months later, the contralateral side showed the same clinical course. CONCLUSION: Transient osteoporosis of the hip (TOH) resembles ONFH but heals spontaneously. We report 3 rare cases of sequential TOH, similar in that they occurred in middle-aged male habitual drinkers at risk for ONFH, characterized by diffuse BME on MRI and radiographic resolution

Secret Handshake: Strong Anonymity Definition and Construction

Secret handshake allows two members in the same group to authenticate each other secretly. In previous works of secret handshake schemes, two types of anonymities against the group authority (GA) of a group G are discussed: 1)Even GA cannot identify members, namely nobody can identify them (No-Traceability), 2)Only GA can identify members (Traceability). In this paper, first the necessity of tracing of the identification is shown. Second, we classify abilities of GA into the ability of identifying players and that of issuing the certificate to members. We introduce two anonymities Co-Traceability and Strong Detector Resistance. When a more strict anonymity is required ever for GA, the case 2) is unfavorable for members. Then, we introduce Co-Traceability where even if A has GAs ability of identifying members or issuing the certificate, A cannot trace members identification. However, if a scheme satisfies Co-Traceability, GA may be able to judge whether handshake players belong to the own group. Then, we introduce Strong Detector Resistance where even if an adversary A has GAs ability of identifying members, A cannot make judgments whether a handshaking player belongs to G. Additionally, we propose a secret handshake scheme which satisfies previous security requirements and our proposed anonymity requirements by using group signature scheme with message recovery