著者
Hirotsugu INOUE Minoru KAMIBAYASHI Kikuo KISHIMOTO Toshikazu SHIBUYA Takashi KOIZUMI
出版者
The Japan Society of Mechanical Engineers
雑誌
JSME international journal. Ser. 1, Solid mechanics, strength of materials (ISSN:09148809)
巻号頁・発行日
vol.35, no.3, pp.319-324, 1992-07-15 (Released:2008-02-18)
参考文献数
6
被引用文献数
5 5

The Laplace transform is known as one of the most useful mathematical tools for solving a wide range of engineering problems. For its application to theoretical or numerical analyses, methods of numerical inversion have been studied extensively. On the other hand, the method of numerical transformation has not yet been studied very much. This is one of the reasons why few applications of the Laplace transform to experimental analysis have been reported. In the present paper, a method for numerical Laplace transformation and inversion utilizing the fast Fourier transform (FFT) algorithm is studied with the intention of applying it to experimental analysis. A discrete Laplace transform pair is formulated as in the discrete Fourier transform pair. The numerical accuracy of the present method is evaluated for the sinusoidal function and step function. A chart is presented for determining parameters for computation so as to attain a specified accuracy.
著者
Jun Matsuura Ryo Inoue Tomohisa Takagi Sayori Wada Akiko Watanabe Takashi Koizumi Mao Mukai Ikuko Mizuta Yuji Naito Toshiki Mizuno
出版者
SOCIETY FOR FREE RADICAL RESEARCH JAPAN
雑誌
Journal of Clinical Biochemistry and Nutrition (ISSN:09120009)
巻号頁・発行日
vol.65, no.3, pp.240-244, 2019 (Released:2019-11-01)
参考文献数
18
被引用文献数
8

Cerebral autosomal dominant arteriopathy with subcortical infarcts and leukoencephalopathy (CADASIL) is a major hereditary small vessel disease caused by mutations in NOTCH3. The variations in progression and severity among patients suggest that the CADASIL phenotype is modified by some genetic and environmental factors. Recent studies have shown the potential roles of gut microbiota in human diseases. We hypothesized that gut microbiota modifies the disease phenotype. We performed gut microbial meta 16S rRNA analysis of fecal samples from 15 CADASIL patients and 16 controls. The microbial α- and β-diversities and taxonomy were compared between CADASIL patients and controls and between CADASIL patients with and without an ischemic stroke history. No significant difference in α- or β-diversity was observed in either case-control or subgroup comparisons. In the taxonomic microbial analysis, there was a significant increase in abundance of 6 genera and significant decrease in 2 genera in CADASIL patients compared with controls. There was a significant decrease in abundance of 2 genera in CADASIL patients with compared with those without stroke. This is the first study on CADASIL focusing on gut microbiota. Our findings suggest that gut microbiota modifies the onset and progression of CADASIL.