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Identities for degenerate Bernoulli polynomials and Korobov polynomials of the first kind

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Science China Mathematics 2019年第5期62卷 999-1028页

作者： taekyun kim Dae San kim Department of Mathematics Kwangwoon University Department of Mathematics Sogang University

In this paper, we derive five basic identities for Sheffer polynomials by using generalized Pascal functional and Wronskian matrices. Then we apply twelve basic identities for Sheffer polynomials, seven from previous results, to degenerate Bernoulli polynomials and Korobov polynomials of the first kind and get some new identities. In addition, letting λ→ 0 in such identities gives us those for Bernoulli polynomials and Bernoulli polynomials of the second kind.

关键词： generalized Pascal functional matrix Wronskian matrix degenerate Bernoulli polynomial Krobov polynomial of the first kind

Study of Degenerate Poly-Bernoulli Polynomials byλ-Umbral Calculus

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Computer Modeling in Engineering & Sciences 2021年第10期129卷 393-408页

作者： Lee-Chae Jang Dae San kim Hanyoung kim taekyun kim Hyunseok Lee Graduate School of Education Konkuk UniversitySeoul143-701Korea Department of Mathematics Sogang UniversitySeoul121-742Korea Department of Mathematics Kwangwoon UniversitySeoul139-701Korea

Recently,degenerate poly-Bernoulli polynomials are defined in terms of degenerate polyexponential functions by *** aim of this paper is to further examine some properties of the degenerate poly-Bernoulli polynomials by using three formulas from the recently developed‘λ-umbral calculus.’In more detail,we represent the degenerate poly-Bernoulli polynomials by Carlitz Bernoulli polynomials and degenerate Stirling numbers of the first kind,by fully degenerate Bell polynomials and degenerate Stirling numbers of the first kind,and by higherorder degenerate Bernoulli polynomials and degenerate Stirling numbers of the second kind.

关键词： Degenerate poly-Bernoulli polynomials degenerate polyexponential functions λ-umbral calculus

Topology optimization of reactive material structures for penetrative projectiles

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Defence Technology（防务技术） 2022年第7期18卷 1205-1218页

作者： Shinyu kim Saekyeol kim taekyun kim Sangin Choi Tae Hee Lee Jung Su Park Sang-Hyun Jung Department of Automotive Engineering Hanyang University222 Wangsimni-roSeongdong-guSeoul04763Republic of Korea The 4th R&D Institute Agency for Defense Development35Yuseong P.O.BoxDaejeon34186Republic of Korea

Recently,reactive materials have been developed for penetrative projectiles to improve impact resistance and energy ***,the design of a reactive material structure,involving shape and size,is challenging because of difficulties such as high non-linearity of impact resistance,manufacturing limitations of reactive materials and high expenses of penetration *** this study,a design optimization methodology for the reactive material structure is developed based on the finite element analysis.A finite element model for penetration analysis is introduced to save the expenses of the *** resistance is assessed through the analysis,and result is calibrated by comparing with experimental *** on the model,topology optimization is introduced to determine shape of the *** design variables and constraints of the optimization are proposed considering the manufacturing limitations,and the optimal shape that can be manufactured by cold spraying is *** on the optimal shape,size optimization is introduced to determine the geometric dimensions of the *** a result,optimal design of the reactive material structure and steel case of the penetrative projectile,which maximizes the impact resistance,is *** the design process proposed in this study,reactive material structures can be designed considering not only mechanical performances but also manufacturing limitations,with reasonable time and cost.

关键词： Reactive material Penetrative projectile Topology optimization Manufacturing constraint Cold gas dynamic spray Additive manufacturing

Some Identities of the Higher-Order Type 2 Bernoulli Numbers and Polynomials of the Second Kind

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Computer Modeling in Engineering & Sciences 2021年第9期128卷 1121-1132页

作者： taekyun kim Dae Sankim Dmitry V.Dolgy Si-Hyeon Lee Jongkyum Kwon Department of Mathematics Kwangwoon UniversitySeoul139-701Korea Department of Mathematics Sogang UniversitySeoul121-742Korea Kwangwoon Glocal Education Center Kwangwoon UniversitySeoul139-701Korea Department of Mathematics Education Gyeongsang National UniversityJinju52828Korea

We introduce the higher-order type 2 Bernoulli numbers and polynomials of the second *** this paper,we investigate some identities and properties for them in connection with central factorial numbers of the second kind and the higher-order type 2 Bernoulli *** give some relations between the higher-order type 2 Bernoulli numbers of the second kind and their conjugates.

关键词： Bernoulli polynomials of the second kind higher-order type 2 Bernoulli polynomials of the second kind higher-order conjugate type 2 Bernoulli polynomials of the second kind

Understanding the spectrum of non-motor symptoms in multiple sclerosis:insights from animal models

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Neural Regeneration Research 2024年第1期19卷 84-91页

作者： Poornima D.E.Weerasinghe-Mudiyanselage Joong-Sun kim taekyun Shin Changjong Moon Department of Veterinary Anatomy and Animal Behavior College of Veterinary Medicine and BK21 FOUR programChonnam National UniversityGwangjuRepublic of Korea Department of Veterinary Anatomy College of Veterinary Medicine and Veterinary Medical Research InstituteJeju National UniversityJejuRepublic of Korea

Multiple sclerosis is a chronic autoimmune disease of the central nervous system and is generally considered to be a non-traumatic,physically debilitating neurological *** addition to experiencing motor disability,patients with multiple sclerosis also experience a variety of nonmotor symptoms,including cognitive deficits,anxiety,depression,sensory impairments,and ***,the pathogenesis and treatment of such non-motor symptoms in multiple scle rosis are still under *** studies for multiple sclerosis benefit from the use of disease-appropriate animal models,including experimental autoimmune *** to understanding the pathophysiology and developing treatments for non-motor symptoms,it is critical to chara cterize the animal model in terms of its ability to replicate certain non-motor features of multiple *** such,no single animal model can mimic the entire spectrum of *** review focuses on the non-motor symptoms that have been investigated in animal models of multiple sclerosis as well as possible underlying ***,we highlighted gaps in the literature to explain the nonmotor aspects of multiple sclerosis in expe rimental animal models,which will serve as the basis for future studies.

关键词： anxiety cognitive deficit depression experimental autoimmune encephalomyelitis motor disability neurological disorder pain pathophysiology preclinical study sensory impairments

Changes in structural plasticity of hippocampal neurons in an animal model of multiple sclerosis

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Zoological Research 2024年第2期45卷 398-414页

作者： Poornima D.E.Weerasinghe-Mudiyanselage Sohi Kang Joong-Sun kim Sung-Ho kim Hongbing Wang taekyun Shin Changjong Moon Department of Veterinary Anatomy and Animal Behavior College of Veterinary Medicine and BK21 FOUR ProgramChonnam National UniversityGwangju 61186Republic of Korea Department of Anatomy and Convergence Medical Science Institute of Health SciencesCollege of MedicineGyeongsang National UniversityJinju 52727Republic of Korea Department of Physiology and Neuroscience Program Michigan State UniversityEast LansingMI 48824USA Department of Veterinary Anatomy College of Veterinary Medicine and Veterinary Medical Research InstituteJeju National UniversityJeju 63243Republic of Korea

Structural plasticity is critical for the functional diversity of neurons in the *** autoimmune encephalomyelitis(EAE)is the most commonly used model for multiple sclerosis(MS),successfully mimicking its key pathological features(inflammation,demyelination,axonal loss,and gliosis)and clinical symptoms(motor and non-motordysfunctions).Recentstudieshave demonstrated the importance of synaptic plasticity in EAE *** the present study,we investigated the features of behavioral alteration and hippocampal structural plasticity in EAE-affected mice in the early phase(11 days post-immunization,DPI)and chronic phase(28DPI).EAE-affected mice exhibited hippocampus-related behavioral dysfunction in the open field test during both early and chronic *** complexity was largely affected in the cornu ammonis 1(CA1)and CA3 apical and dentate gyrus(DG)subregions of the hippocampus during the chronic phase,while this effect was only noted in the CA1 apical subregion in the early ***,dendritic spine density was reduced in the hippocampal CA1 and CA3 apical/basal and DG subregions in the early phase of EAE,but only reduced in the DG subregion during the chronic ***,mRNA levels of proinflammatory cytokines(Il1β,Tnfα,and Ifnγ)and glial cell markers(Gfap and Cd68)were significantly increased,whereas the expression of activity-regulated cytoskeletonassociated protein(ARC)was reduced during the chronic ***,exposure to the aforementioned cytokines in primary cultures of hippocampal neurons reduced dendritic complexity and ARC *** cultures of hippocampal neurons also showed significantly reduced extracellular signal-regulated kinase(ERK)phosphorylation upon treatment with proinflammatory ***,these results suggest that autoimmune neuroinflammation alters structural plasticity in the hippocampus,possibly through the ERK-ARC pathway,indicating that this alteration may be associated with hi

关键词： Activity-regulated cytoskeleton-associated protein Anxiety-like behavior Experimental autoimmune encephalomyelitis Hippocampal dysfunction Neuroinflammation

关于一类poly-Dedekind DC和的研究

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西北大学学报（自然科学版） 2023年第3期53卷 438-442页

作者：马元魁罗玲玲 kim taekyun 李红泽西安工业大学基础学院陕西西安710021 光云大学数学系韩国首尔139-701 上海交通大学数学科学学院上海200240

研究了Dedekind DC和的一个新的推广——poly-Dedekind DC和。Dedekind DC和中的Euler函数替换成了由polylogarithm函数定义的poly-Euler函数。利用polylogarithm函数的定义、第二类Stirling数的定义、Euler多项式的定义,得到了此类poly-Euler函数满足的一些恒等式,包括此类poly-Euler数与第二类Stirling数之间的关系,以及此类poly-Euler多项式与Euler多项式、第二类Stirling数之间的关系,并证明了此poly-Dedekind DC和满足互反关系。正如经典的Dedekind和一样,可进一步探讨其与模形式、ζ函数以及三角和的关系。

关键词： poly-Dedekind DC和 polylogarithm函数 poly-Euler多项式

Temporal profiles of synaptic plasticity-related signals in adult mouse hippocampus with methotrexate treatment

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Neural Regeneration Research 2012年第21期7卷 1651-1658页

作者： Miyoung Yang Juhwan kim Sung-Ho kim Joong-Sun kim taekyun Shin Changjong Moon Department of Veterinary Anatomy College of Veterinary Medicine and Animal Medical Institute Chonnam National University Department of Experimental Radiation Research Center Dongnam Institute of Radiological & Medical Sciences (DIRAMS) Department of Veterinary Anatomy College of Veterinary Medicine Jeju National University

Methotrexate, which is used to treat many malignancies and autoimmune diseases, affects brain functions including hippocampal-dependent memory function. However, the precise mechanisms underlying methotrexate-induced hippocampal dysfunction are poorly understood. To evaluate temporal changes in synaptic plasticity-related signals, the expression and activity of N-methyI-D-aspartic acid receptor 1, calcium/calmodulin-dependent protein kinase II, extracellular signal-regulated kinase 1/2, cAMP responsive element-binding protein, glutamate receptor 1, brain-derived neurotrophic factor, and glial cell line-derived neurotrophic factor were examined in the hippocampi of adult C57BL/6 mice after methotrexate （40 mg/kg） intraperitoneal injection. Western blot analysis showed biphasic changes in synaptic plasticity-related signals in adult hippocampi following methotrexate treatment. N-methyI-D-aspartic acid receptor 1, calcium/calmodulin-dependent protein kinase II, and glutamate receptor 1 were acutely activated during the early phase （1 day post-injection）, while extracellular signal-regulated kinase 1/2 and cAMP responsive element-binding protein activation showed biphasic increases during the eady （1 day post-injection） and late phases （7-14 days post-injection）. Brain-derived neurotrophic factor and glial cell line-derived neurotrophic factor expression increased significantly during the late phase （7-14 days post-injection）. Therefore, methotrexate treatment affects synaptic plasticity-related signals in the adult mouse hippocampus, suggesting that changes in synaptic plasticity-related signals may be associated with neuronal survival and plasticity-related cellular remodeling.

关键词： hippocampus methotrexate neurotrophic factor synaptic plasticity-related signal neuralregeneration

Ninjurin-1: a biomarker for reflecting the process of neuroinflammation after spinal cord injury

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Neural Regeneration Research 2021年第7期16卷 1331-1335页

作者： Poornima D.E.Weerasinghe-Mudiyanselage Jeongtae kim Yuna Choi Changjong Moon taekyun Shin Meejung Ahn Department of Veterinary Anatomy College of Veterinary Medicine and Veterinary Medical Research InstituteJeju National UniversityJejuRepublic of Korea Department of Veterinary Anatomy College of Veterinary Medicine and BK21 Plus Project TeamChonnam National UniversityGwangjuRepublic of Korea Department of Anatomy Kosin University College of MedicineBusanRepublic of Korea Department of Animal Science College of Life ScienceSangji UniversityWonjuRepublic of Korea

Previous studies have shown that Ninjurin-1 participates in cell trafficking and axonal growth following central and peripheral nervous system *** its precise roles in these processes and involvement in spinal cord injury pathophysiology remain *** blot assay revealed that Ninjurin-1 levels in rats with spinal cord injury exhibited an upregulation until day 4 post-injury and slightly decreased thereafter compared with sham *** analysis revealed that Ninjurin-1 immunoreactivity in rats with spinal cord injury sharply increased on days 1 and 4 post-injury and slightly decreased on days 7 and 21 post-injury compared with sham ***-1 immunostaining was weak in vascular endothelial cells, ependymal cells, and some glial cells in sham controls while it was relatively strong in macrophages, microglia, and reactive *** findings suggest that a variety of cells, including vascular endothelial cells, macrophages, and microglia, secrete Ninjurin-1 and they participate in the pathophysiology of compression-induced spinal cord *** experimental procedures were approved by the Care and Use of Laboratory Animals of Jeju National University(approval No.2018-0029) on July 6, 2018.

关键词： astrocytes clip compression injury macrophage microglia neuroinflammation Ninjurin-1 rat spinal cord