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Remarks on the Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type

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Applied Mathematics 2013年第11期4卷 13-21页

作者： Tohru Morita ken-ichi sato College of Engineering Nihon University Koriyama Japan Tohoku University Sendai Japan

We discuss the solution of Laplace’s differential equation by using operational calculus in the framework of distribution theory. We here study the solution of that differential Equation with an inhomogeneous term, a... 详细信息

关键词： Laplace’s Differential Equation Kummer’s Differential Equation Fractional Differential Equation Inhomogeneous Equation Distribution Theory Operational Calculus

Detection of Edge with the Aid of Mollification Based on Wavelets

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Applied Mathematics 2014年第18期5卷 2849-2861页

作者： Tohru Morita ken-ichi sato Tohoku University Sendai Japan College of Engineering Nihon University Koriyama Japan

In preceding papers, the present authors proposed the application of the mollification based on wavelets to the calculation of the fractional derivative (fD) or the derivative of a function involving noise. We study here the application of that method to the detection of edge of a function. Mathieu et al. proposed the CRONE detector for a detection of an edge of an image. For a function without noise, we note that the CRONE detector is expressed as the Riesz fractional derivative (fD) of the derivative. We study here the application of the mollification to the calculation of the Riesz fD of the derivative for a data involving noise, and compare the results with the results obtained by our method of applying simple derivative to mollified data.

关键词： Mollification Edge Detector Riesz Fractional Derivative Mollifiers Based on Wavelets Gibbs Phenomenon Primitive CRONE fD Detector

Solution of Differential Equations with the Aid of an Analytic Continuation of Laplace Transform

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Applied Mathematics 2014年第8期5卷 1229-1239页

作者： Tohru Morita ken-ichi sato College of Engineering Nihon University Koriyama Japan Tohoku University Sendai Japan

We discuss the solution of Laplace’s differential equation and a fractional differential equation of that type, by using analytic continuations of Riemann-Liouville fractional derivative and of Laplace transform. We show that the solutions, which are obtained by using operational calculus in the framework of distribution theory in our preceding papers, are obtained also by the present method.

关键词： Laplace’s Differential Equation Kummer’s Differential Equation Fractional Differential Equation Laplace Transform Analytic Continuation via Hankel’s Contour

Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type

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Applied Mathematics 2013年第11期4卷 26-36页

作者： Tohru Morita ken-ichi sato College of Engineering Nihon University Koriyama Japan Tohoku University Sendai Japan

In a preceding paper, we discussed the solution of Laplace’s differential equation by using operational calculus in the framework of distribution theory. We there studied the solution of that differential equation with an inhomogeneous term, and also a fractional differential equation of the type of Laplace’s differential equation. We there considered derivatives of a function on , when is locally integrable on , and the integral converges. We now discard the last condition that should converge, and discuss the same problem. In Appendices, polynomial form of particular solutions are given for the differential equations studied and Hermite’s differential equation with special inhomogeneous terms.

关键词： Laplace’s Differential Equation Kummer’s Differential Equation Fractional Differential Equation Distribution Theory Operational Calculus Inhomogeneous Equation Polynomial Solution

New aspects of a small GTPase RAB35 in brain development and function

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Neural Regeneration Research 2025年第7期20卷 1971-1980页

作者： Ikuko Maejima ken sato Laboratory of Molecular Traffic Institute for Molecular and Cellular RegulationGunma UniversityMaebashiJapan

In eukaryotic cells,organelles in the secretory,lysosomal,and endocytic pathways actively exchange biological materials with each other through intracellular membrane trafficking,which is the process of transporting the cargo of proteins,lipids,and other molecules to appropriate compartments via transport vesicles or *** processes are strictly regulated by various small GTPases such as the RAS-like in rat brain(RAB)protein family,which is the largest subfamily of the RAS *** of membrane trafficking affects tissue homeostasis and leads to a wide range of diseases,including neurological disorders and neurodegenerative ***,it is important to understand the physiological and pathological roles of RAB proteins in brain ***35,a member of the RAB family,is an evolutionarily conserved protein in metazoans.A wide range of studies using cultured mammalian cells and model organisms have revealed that RAB35 mediates various processes such as cytokinesis,endocytic recycling,actin bundling,and cell ***35 is also involved in neurite outgrowth and turnover of synaptic *** generated brain-specific Rab35 knockout mice to study the physiological roles of RAB35 in brain development and *** mice exhibited defects in anxiety-related behaviors and spatial ***,RAB35 is required for the precise positioning of pyramidal neurons during hippocampal development,and thereby for normal hippocampal *** contrast,layer formation in the cerebral cortex occurred superficially,even in the absence of RAB35,suggesting a predominant role for RAB35 in hippocampal development rather than in cerebral cortex *** studies have suggested an association between RAB35 and neurodegenerative diseases,including Parkinson's disease and Alzheimer's *** this review,we provide an overview of the current understanding of subcellular functions of *** also provide insights into the phys

关键词： endocytosis endosomes hippocampal development neurodegenerative diseases RAB35

Indication of repeated surgery for recurrent glioblastoma——using of the NIH Recurrent GBM Scale

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Indication of repeated surgery for recurrent glioblastoma—...

Survival benefit from Gamma knife radiosurgery for newly diagnosed malignant glioma patients

中国抗癌协会神经肿瘤专业委员会第八届学术会议

作者： Tamio Ito Yoshimaru Ozaki ken-ichi sato Mitsuteru Oikawa Hironori Sugio Hirohiko Nakamura Department of Neurosurgery Brain Tumor Center Nakamura Memorial Hospital

＜正＞[Purpose] Despite initial treatment with surgical resection, radiotherapy, and chemotherapy, glioblastoma （GBM） inevitably always recurs. The surgical

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Survival benefit from Gamma knife radiosurgery for newly dia...

A dynamic database of solid-state electrolyte(DDSE)picturing all-solid-state batteries

中国抗癌协会神经肿瘤专业委员会第八届学术会议

作者： ken-ichi sato Tamio ITO Masami TAKANASHI Yoshimaru OZAKI Mitsuteru OIKAWA Yoshinori SUGIO Hirohiko NAKAMURA Department of Neurosurgery Brain Tumor CenterGamma Knife CenterNakamura Memorial Hospital

＜正＞Purpose:Ultimately despite this current standard treatment,almost all patients with malignant glioma will have *** knife radiosurgery（GK） is a relative safe and less invasive treatment used as adjuvant therapy...

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Nano Materials Science 2024年第2期6卷 256-262页

作者： Fangling Yang Egon Campos dos Santos Xue Jia Ryuhei sato Kazuaki Kisu Yusuke Hashimoto Shin-ichi Orimo Hao Li Advanced Institute for Materials Research(WPI-AIMR) Tohoku UniversitySendai980-8577Japan Key Laboratory of Radiation Physics and Technology Ministry of EducationCollege of PhysicsSichuan UniversityChengdu610065People's Republic of China Institute for Materials Research(IMR) Tohoku UniversitySendai980-8577Japan Tohoku Forum for Creativity Tohoku UniversitySendai980-8577Japan

All-solid-state batteries(ASSBs)are a class of safer and higher-energy-density materials compared to conventional devices,from which solid-state electrolytes(SSEs)are their essential *** date,investigations to search for high ion-conducting solid-state electrolytes have attracted broad ***,obtaining SSEs with high ionic conductivity is challenging due to the complex structural information and the less-explored structure-performance *** provide a solution to these challenges,developing a database containing typical SSEs from available experimental reports would be a new avenue to understand the structureperformance relationships and find out new design guidelines for reasonable ***,a dynamic experimental database containing>600 materials was developed in a wide range of temperatures(132.40–1261.60 K),including mono-and divalent cations(e.g.,Li^(+),Na^(+),K^(+),Ag^(+),Ca^(2+),Mg^(2+),and Zn^(2+))and various types of anions(e.g.,halide,hydride,sulfide,and oxide).Data-mining was conducted to explore the relationships among different variates(e.g.,transport ion,composition,activation energy,and conductivity).Overall,we expect that this database can provide essential guidelines for the design and development of high-performance SSEs in ASSB *** database is dynamically updated,which can be accessed via our open-source online system.

关键词： Solid-state electrolyte(SSE) All-solid-state battery(ASSB) Ionic conductivity Dynamic database Machine learning

Data-Driven Viewpoint for Developing Next-Generation Mg-Ion Solid-State Electrolytes

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电化学（中英文） 2024年第7期30卷 38-49页

作者： Fang-Ling Yang Ryuhei sato Eric Jianfeng Cheng Kazuaki Kisu Qian Wang Xue Jia Shin-ichi Orimo Hao Li Advanced Institute for Materials Research(WPI-AIMR) Tohoku UniversitySendai980-8577Japan College of Physics Sichuan UniversityChengdu610065China Institute for Materials Research(IMR) Tohoku UniversitySendai980-8577Japan College of Materials Science and Engineering Sichuan UniversityChengdu610064China

Magnesium(Mg)is a promising alternative to lithium(Li)as an anode material in solid-state batteries due to its abundance and high theoretical volumetric ***,the sluggish Mg-ion conduction in the lattice of solidstate electrolytes(SSEs)is one of the key challenges that hamper the development of Mg-ion solid-state *** various Mg-ion SSEs have been reported in recent years,key insights are hard to be derived from a single literature ***,the structure-performance relationships of Mg-ion SSEs need to be further unraveled to provide a more precise design guideline for *** this viewpoint article,we analyze the structural characteristics of the Mg-based SSEs with high ionic conductivity reported in the last four decades based upon data mining-we provide big-data-derived insights into the challenges and opportunities in developing next-generation Mg-ion SSEs.

关键词： Data mining Magnesium-ion solid-state electrolytes All-solid-state batteries Magnesium-ion conductivity