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SOME IDENTITIES INVOLVING DEGENERATE r-STIRLING NUMBERS
Taekyun Kim,김대산,권종겸,HYUNSEOK LEE 장전수학회 2022 Proceedings of the Jangjeon mathematical society Vol.25 No.2
Recently, Kim-Kim studied the unsigned degenerate r-Stirling number of the first kind and the degenerate r-Stirling number of the second kind, respectively of which are the degenerate versions of the unsigned r-Stirling numbers of the first kind and those of the r-Stirling numbers of the second kind. The aim of this paper is to derive some identities involving such special numbers from the inverse relations for them.
On functional equations of degenerate dilogarithm
Taekyun Kim,김대산,이현석,권종겸,YUNJAE KIM 장전수학회 2022 Proceedings of the Jangjeon mathematical society Vol.25 No.1
Recently, the degenerate polylogarithm is introduced by Kim-Kim as a degenerate version of the polylogarithm. In this note, we derive some interesting functional equations related to degenerate dilogarithm.
Differential equations for Changhee polynomials and their applications
Kim, Taekyun,Dolgy, Dmitry V.,Kim, Dae San,Seo, Jong Jin International Scientific Research Publications MY 2016 The journal of nonlinear science and applications Vol.9 No.5
<P>Recently, the non-linear Changhee differential equations were introduced by Kim and Kim [T. Kim, D. S. Kim, Russ. J. Math. Phys., 23 (2016), 1-5] and these differential equations turned out to be very useful for studying special polynomials and mathematical physics. Some interesting identities and properties of Changhee polynomials can also be derived from umbral calculus (see [D. S. Kim, T. Kim, J. J. Seo, Adv. Studies Theor. Phys., 7 (2013), 993-1003]). In this paper, we consider differential equations arising from Changhee polynomials and derive some new and explicit formulae and identities from our differential equations. (C) 2016 All rights reserved.</P>
A note on some identities of derangement polynomials
Kim, Taekyun,Kim, Dae San,Jang, Gwan-Woo,Kwon, Jongkyum Springer International Publishing 2018 Journal of inequalities and applications Vol.2018 No.1
<P>The problem of counting derangements was initiated by Pierre Rémond de Montmort in 1708 (see Carlitz in Fibonacci Q. 16(3):255–258, 1978, Clarke and Sved in Math. Mag. 66(5):299–303, 1993, Kim, Kim and Kwon in Adv. Stud. Contemp. Math. (Kyungshang) 28(1):1–11 2018. A derangement is a permutation that has no fixed points, and the derangement number [FORMULA OMISSION] is the number of fixed-point-free permutations on an <I>n</I> element set. In this paper, we study the derangement polynomials and investigate some interesting properties which are related to derangement numbers. Also, we study two generalizations of derangement polynomials, namely higher-order and <I>r</I>-derangement polynomials, and show some relations between them. In addition, we express several special polynomials in terms of the higher-order derangement polynomials by using umbral calculus.</P>
Heechul Kim,Seungjoon Kim,Jeeyoung Lee,Jeongtae Kim,Jin Won Hyun,Jae Woo Park,Sung-Ho Kim,Changjong Moon,Taekyun Shin 한국실험동물학회 2007 Laboratory Animal Research Vol.23 No.2
Radiation therapy is used for cancer treatment, but there are some side effects such as oxidative damage. Sodium salicylate, an anti-inflammatory drug, plays a role in the reduction of oxidative damage. We investigated the antioxidant role of sodium salicylate against gamma-radiation-induced oxidative damage in liver tissue after whole-body irradiation with a single dose of 5 Gy. Twenty adult rats were divided into four equal groups. On the day of the experiment, groups Ⅰ and Ⅱ were treated orally with 200 ㎎/㎏ sodium salicylate, while groups Ⅲ and Ⅳ received distilled water. One hour later, groups Ⅱ and Ⅳ were exposed to 5 Gy whole-body ionizing radiation in a single fraction. Thiobarbituric acid-reactive substances (TSARS) in the liver ware measured in all groups, 4 hours after their exposure to radiation. Whole-body radiation significantly increased TSARS level in the liver, while sodium salicylate significantly reduced hepatic TSARS level in irradiated rats. Furthermore, radiation injury induced Kupffer cell activation, while sodium salicylate significantly inhibited Kupffer cell activation in irradiated rats. The data obtained in this study suggest that sodium salicylate administration prior to irradiation may prevent liver damage by radiation.
Opposite Localization of Luteinizing Hormone Receptors and Galectin-3 in Mature Mouse Ovaries
Juhwan Kim(김주환),Miyoung Yang(양미영),Sung-Ho Kim(김성호),Jong-Choon Kim(김종춘),Seungjoon Kim(김승준),Hong-Gu Joo(주홍구),Taekyun Shin(신태균),Changjong Moon(문창종) 한국생명과학회 2012 생명과학회지 Vol.22 No.5
본 연구는 성숙마우스의 난소에서 황체형성호르몬수용체(luteinizing hormone receptor, LHR)와 beta-galctoside-binding animal lectin인 galetin-3 (Gal-3)의 발현분포를 면역조직화학방법으로 평가하였다. LHR은 활동(성숙) 황체에서 강하게 발현되는 반면에, Gal-3의 발현은 퇴행중인 황체와 폐쇄난포에서 높게 나타났다. 또한, 임신중인 마우스의 황체에서는 LHR의 면역반응이 강하게 나타났으나, Gal-3의 면역반응은 현저히 낮았다. 위의 결과를 종합해 볼 때, 성숙마우스의 난소에서 LHR과 Gal-3는 난소의 특정한 시기에 따라 다른 분포양상을 나타냄을 알 수 있었으며, 이들 각각의 단백질의 발현으로 보아 황체의 형성과 퇴행에서 상반된 역할을 할 것으로 여겨진다. Received January 5, 2012 /Revised April 12, 2012 /Accepted May 8, 2012 The present study evaluated the localization of luteinizing hormone receptors (LHR) and galectin-3 (Gal-3), a beta-galactoside-binding animal lectin, in the mature mouse ovaries by immunohistochemical analysis. Intense LHR immunoreactivity was detected in the active corpus luteum (CL), whereas expression of Gal-3 was high in the regressing CL and atretic follicle. In the CL of pregnant mice, LHR immunoreactivity was intense, but Gal-3 expression was low. Thus, LHR and Gal-3 had opposite patterns of expression in mature mouse ovaries, suggesting that both proteins have stage-specific expression patterns and are possibly involved in CL formation and regression.
Joong-Sun Kim,Miyoung Yang,Yeonghoon Son,Sung-Ho Kim,Jong-Choon Kim,Seungjoon Kim,Yongduk Lee,Taekyun Shin,Changjong Moon 한국독성학회 2008 Toxicological Research Vol.24 No.3
The behavioral phenotypes of out-bred ICR mice were compared with those of in-bred C57BL/6 and BALB/c mice. In particular, this study examined the locomotor activity and two forms of hippocampus-dependent learning paradigms, passive avoidance and object recognition memory. The basal open-field activity of the ICR strain was greater than that of the C57BL/6 and BALB/c strains. In the passive avoidance task, all the mice showed a significant increase in the cross-over latency when tested 24 hours after training. The strength of memory retention in the ICR mice was relatively weak and measurable, as indicated by the shorter cross-over latency than the C57BL/6 and BALB/c mice. In the object recognition memory test, all strains had a significant preference for the novel object during testing. The index for the preference of a novel object was lower for the ICR and BALB/c mice. Nevertheless, the variance and the standard deviation in these strains were comparable. Overall, these results confirm the strain differences on locomotor activity and hippocampus-dependent learning and memory in mice.
Fast neutron irradiation deteriorates hippocampus-related memory ability in adult mice
Yang, Miyoung,Kim, Hwanseong,Kim, Juhwan,Kim, Sung-Ho,Kim, Jong-Choon,Bae, Chun-Sik,Kim, Joong-Sun,Shin, Taekyun,Moon, Changjong The Korean Society of Veterinary Science 2012 JOURNAL OF VETERINARY SCIENCE Vol.13 No.1
<P>Object recognition memory and contextual fear conditioning task performance in adult C57BL/6 mice exposed to cranial fast neutron irradiation (0.8 Gy) were examined to evaluate hippocampus-related behavioral dysfunction following acute exposure to relatively low doses of fast neutrons. In addition, hippocampal neurogenesis changes in adult murine brain after cranial irradiation were analyzed using the neurogenesis immunohistochemical markers Ki-67 and doublecortin (DCX). In the object recognition memory test and contextual fear conditioning, mice trained 1 and 7 days after irradiation displayed significant memory deficits compared to the sham-irradiated controls. The number of Ki-67- and DCX-positive cells decreased significantly 24 h post-irradiation. These results indicate that acute exposure of the adult mouse brain to a relatively low dose of fast neutrons interrupts hippocampal functions, including learning and memory, possibly by inhibiting neurogenesis.</P>