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Chronic osteomyelitis of the jaw is rare in the healthy populations of developed countries and presents with diagnostic and therapeutic challenges. Clinical presentation: Patient 1 presented with a dull, occasionally throbbing pain in the left mandible of 1.5 years duration. There was associated trismus which alternated between improving and worsening. The patient had features mimicking a variant of temporomandibular disorder (TMD). She was misdiagnosed and treated for myogenous TMD without symptom relief. Patient 2 presented with intermittent dull pain with mastication and facial swelling over the right mandible for 1 year. She was treated by the referring dental practitioner for myogenous TMD without symptom relief. Clinical and radiologic findings confirmed a diagnosis of chronic sclerosing osteomyelitis in both cases, and conservative treatment, including antibiotics, relieved the pain with no signs of recurrence. Conclusion: The importance of including chronic osteomyelitis in the differential diagnosis of idiopathic orofacial pain disorders is emphasized. If the management of myogenous TMD is unsuccessful, there is a possibility of a misdiagnosis, and a differential diagnosis, including chronic osteomyelitis, needs to be reconsidered.

In recent years, studies on efficient strategies in prototyping have been accelerated in number. Among them, studies on the economies of prototyping, which analyze the relationship between the gained value of prototyping and its fidelity, are being conducted. However, the types of prototyping that improve the economies of prototyping are yet to be revealed. Also, it has been indicated that generating communication in prototyping can lead to performance improvement. Therefore, this study focused on communication during the prototyping process and analyzed the economies of prototyping at a private company. First, the economies of prototyping were explored using 27 prototyping and their gained values and fidelity for the private company. Next, each prototyping was categorized using a prototyping category centered on communication to indicate trends in economies of prototyping in each category. Furthermore, Pearson’s product-moment correlation coefficient was calculated to grasp the data relationship between the economies of prototyping and communication. Considering the results of the above analyses, we proposed a prototyping method that improves the economies of prototyping. Specifically, we proposed the technique of “prototyping that involves external stakeholders early on in the development stage and shortens expended time” as this leads to enhanced economies of prototyping. This study suggests the possibility of improving the economies of prototyping by consciously implementing “prototyping in a way that reduces the time required while involving external stakeholders at an early stage.”

Gravitational lenses are examined in de-Sitter (dS) background, for which the existence of the dS horizon is taken into account and hyperbolic trigonometry is used together with the hyperbolic angular diameter distance. Spherical trigonometry is used to discuss a gravitational lens in anti-de Sitter (AdS) background. The difference in the form among the dS/AdS lens equations and the exact lens equation in Minkowski background begins at the third order, when a small angle approximation is used in terms of lens and source planes. The angular separation of lensed images is decreased by the third-order deviation in the dS lens equation, while it is increased in AdS. In the present framework on the dS/AdS backgrounds, we discuss also the deflection angle of light, which does not include any term of purely the cosmological constant. Despite the different geometry, the deflection angle of light rays in hyperbolic and spherical geometry can take the same form. Through a coupling of the cosmological constant with lens mass, the separation angle of multiple images is larger (smaller) in dS (AdS) than in the flat case, for a given mass, source direction, and angular diameter distances among the lens, receiver and source., Comment: 12 pages, 8 figures, typos corrected, 2 references added, accepted for PRD

To investigate the predictive power of depression and anxiety for conditioned pain modulation (CPM) and to examine the relationships of CPM at 40°C and CPM at 47°C with age, disease-related pain, pain duration, and psychosocial factors in burning mouth syndrome (BMS).A total of 22 patients with BMS and 22 healthy female controls participated in this study. Temporal summation was used as the test stimulus for CPM, and subsequent exposure either to a nonpainful (40°C) or a painful (47°C) Peltier thermode was used as the conditioning stimulus. CPM was calculated as the difference in pain perception following the conditioning stimulus. Psychosocial factors were examined using the Profile of Mood States (POMS) and the State-Trait Anxiety Inventory (STAI).State anxiety and tension-anxiety scores were significantly higher for patients with BMS than for control participants. Multiple regression analyses showed that CPM47°C was affected by vigor, fatigue, confusion, and trait anxiety (adjusted RIncreases in trait anxiety reduced the CPM effect. These findings suggest that CPM impairments and increases in trait anxiety are involved in the development of BMS.

Two exact lens equations have been recently shown to be equivalent to each other, being consistent with the gravitational deflection angle of light from a source to an observer, both of which can be within a finite distance from a lens object [Phys. Rev. D 102, 064060 (2020)]. We examine methods for iterative solutions of the gravitational lens equations in the strong deflection limit. It has been so far unclear whether a convergent series expansion can be provided by the gravitational lens approach based on the geometrical optics for obtaining approximate solutions in the strong deflection limit in terms of a small offset angle. By using the ratio of the lens mass to the lens distance, we discuss a slightly different method for iterative solutions and the behavior of the convergence. Finite distance effects begin at the third order in the iterative method. The iterative solutions in the strong deflection limit are estimated for Sgr $A^{*}$ and M87. These results suggest that only the linear order solution can be relevant with current observations, while the finite distance effects at the third order may be negligible in the Schwarzschild lens model for these astronomical objects., Comment: 9 pages, 6 figures, correcting a numerical value and a sentence in the introduction section, PRD in press

We discuss, without assuming asymptotic flatness, a gravitational lens for an observer and source that are within a finite distance from a lens object. The proposed lens equation is consistent with the deflection angle of light that is defined for nonasymptotic observer and source by Takizawa et al. [Phys. Rev. D 101, 104032 (2020)] based on the Gauss-Bonnet theorem with using the optical metric. This lens equation, though it is shown to be equivalent to the Bozza lens equation[Phys. Rev. D 78, 103005 (2008)], is linear in the deflection angle. Therefore, the proposed equation is more convenient for the purpose of doing an iterative analysis. As an explicit example of an asymptotically nonflat spacetime, we consider a static and spherically symmetric solution in Weyl conformal gravity, especially a case that $\gamma$ parameter in the Weyl gravity model is of the order of the inverse of the present Hubble radius. For this case, we examine iterative solutions for the finite-distance lens equation up to the third order. The effect of the Weyl gravity on the lensed image position begins at the third order and it is linear in the impact parameter of light. The deviation of the lensed image position from the general relativistic one is $\sim 10^{-2}$ microarcsecond for the lens and source with a separation angle of $\sim 1$ arcminute, where we consider a cluster of galaxies with $10^{14} M_{\odot}$ at $\sim 1$ Gpc for instance. The deviation becomes $\sim 10^{-1}$ microarcseconds, even if the separation angle is $\sim 10$ arcminutes. Therefore, effects of the Weyl gravity model are negligible in current and near-future observations of gravitational lensing. On the other hand, the general relativistic corrections at the third order $\sim 0.1$ milliarcseconds can be relevant with VLBI observations., Comment: 10 pages, 6 figures, title modified, strong deflection mentioned, one reference added, accepted by PRD

The gravitational deflection angle of light for an observer and source at finite distance from a lens object has been studied by Ishihara et al. [Phys. Rev. D, 94, 084015 (2016)], based on the Gauss-Bonnet theorem with using the optical metric. Their approach to finite-distance cases is limited within an asymptotically flat spacetime. By making several assumptions, we give an interpretation of their definition from the observer's viewpoint: The observer assumes the direction of a hypothetical light emission at the observer position and makes a comparison between the fiducial emission direction and the direction along the real light ray. The angle between the two directions at the observer location can be interpreted as the deflection angle by Ishihara et al. The present interpretation does not require the asymptotic flatness. Motivated by this, we avoid such asymptotic regions to discuss another integral form of the deflection angle of light. This form makes it clear that the proposed deflection angle can be used not only for asymptotically flat spacetimes but also for asymptotically nonflat ones. We examine the proposed deflection angle in two models for the latter case; Kottler (Schwarzschild-de Sitter) solution in general relativity and a spherical solution in Weyl conformal gravity. Effects of finite distance on the light deflection in Weyl conformal gravity result in an extra term in the deflection angle, which may be marginally observable in a certain parameter region. On the other hand, those in Kottler spacetime are beyond reach of the current technology., 9 pages, 7 figures; Figures 6 and 7 added, accepted by PRD

A method for the separation and determination of amino acids by capillary electrophoresis with laser-induced fluores-cence detection has been developed. At first, the condition for the derivatization of amino acids with fluorescein isothio-cyanate (FITC) was studied; it was proved to be optimal at 50°C for 5 h. Next, the separation of 20 FITC-amino acids was attempted by using an unmodified fused silica capillary. Actually, 18 kinds of FITC-amino acids were separated with 96 mM sodium borate buffer (pH 9.5) containing either 25% acetone (separation system 1) or 10% methanol (separation system 2). The resolution of 19 FITC-amino acids was attained with 80 mM sodium borate buffer (pH 9.2) containing 45 mM α-cyclodextrin (separation system 3). Finally, we succeeded in separating 20 FITC-amino acids by combining two migration systems (2 and 3). The FITC-amino acids were detected by argon-ion laser-induced fluorescence (Ex 488 nm, Em 520 nm). The detection limits of the amino acids obtained with separation systems 1 and 2 were 0.052-1.01 fmol.