Background: Chronic unsteadiness is a common complaint at vestibular clinics. Bilateral vestibulopathy (BVP) is a major cause of chronic unsteadiness but is often overlooked. Although diagnostic criteria for BVP have been established by the Barany Society, isolated vertical canal hypofunction can remain undiagnosed.
View Article and Find Full Text PDFIn this study, we propose a mathematical model of self-propelled objects based on the Allen-Cahn type phase-field equation. We combine it with the equation for the concentration of surfactant used in previous studies to construct a model that can handle self-propelled object motion with shape change. A distinctive feature of our mathematical model is that it can represent both deformable self-propelled objects, such as droplets, and solid objects, such as camphor disks, by controlling a single parameter.
View Article and Find Full Text PDFMigraine and vertigo are common complaints seen in clinical practice, and in a few such cases, we also find epileptic manifestations, including migraine-triggered seizures. Currently, patients presenting with vertigo and headache are diagnosed according to established diagnostic criteria for Meniere's disease, vestibular migraine, or vestibular migraine/Meniere's disease overlapping syndrome. In addition to using those diagnostic criteria and the patient's history, cervical vestibular evoked myogenic potential and auditory middle latency responses are useful tools to better understand the physiological background of these patients and also to confirm the diagnosis.
View Article and Find Full Text PDFUnderstanding the invasion processes of biological species is a fundamental issue in ecology. Several mathematical models have been proposed to estimate the spreading speed of species. In recent decades, it was reported that some mathematical models of population dynamics have an explicit form of the evolution equations for the spreading front, which are represented by free boundary problems such as the Stefan-like problem (e.
View Article and Find Full Text PDFMesomorphous butterfly-like shape molecules based on benzodithiophene, benzodithiophene-4,8-dione and cyclopentadithiophen-4-one core moieties were efficiently synthesized by the Suzuki-Miyaura coupling and Scholl oxidative cyclo-dehydrogenation reactions' tandem. Most of the butterfly molecules spontaneously self-organize into columnar hexagonal mesophase. The electron-deficient systems possess strong solvent-gelling ability but are not luminescent, whereas the electron-rich terms do not form gels but strongly emit light between 400 and 600 nm.
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