• Bulletin of the Korean Mathematical Society
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• v.36 no.4
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• pp.747-754
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• 1999

We compute the mod p homology of the double loop space of Sp(n)/U(n) by the Serre spectral sequence and the Eilenberg-Moore spectral sequence with the homology operations.

• Bulletin of the Korean Mathematical Society
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• v.40 no.2
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• pp.281-288
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• 2003

We compute the mod p homology of the double loop space of 50(2n)/U(n) by the Serre spectral sequence of Hopf algebras. We also obtain the torsion information of the integral homology.

• Journal of the Korean Mathematical Society
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• v.39 no.6
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• pp.881-898
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• 2002

Our aim in this paper is to introduce a generalization of some notions in homological algebra. We define the concepts of chain U-complex, U-homology, chain (U, U')-map, chain (U, U')-homotopy and $\mu$-functor. We also obtain some interesting results. We use these results to find a generalization of Lambek Lemma, Snake Lemma, Connecting Homomorphism and Exact Triangle.

• Journal of Integrative Natural Science
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• v.10 no.1
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• pp.7-13
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• 2017

Neuromedin U receptor 1 is a GPCR protein which binds with the neuropeptide, neuromedin. It is involved in the regulation of feeding and energy homeostasis and related with immune mediated inflammatory diseases like asthma. It plays an important role in maintaining the biological clock and in the regulation of smooth muscle contraction in the gastrointestinal and genitourinary tract. Analysing the structural features of the receptor is crucial in studying the pathophysiology of the diseases related to the receptor important. As the three dimensional structure of the protein is not available, in this study, we have performed the homology modelling of the receptor using 5 different templates. The models were subjected to model validation and two models were selected as optimal. These models could be helpful in analysing the structural features of neuromedin U receptor 1 and their role in disorders related to them.

• Honam Mathematical Journal
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• v.37 no.1
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• pp.7-27
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• 2015

Kuneth formula is to compute (co)-homology of $A{\otimes}B$ for known (co)-homology of the complexes A and B. In the ordinary case, this is done by using elementary homological methods in an abelian category. However, when we consider the bounded cochain complex with values in $\mathbb{R}$ and its structure as a real Banach space, the techniques of homological algebra for constructing K$\ddot{u}$nneth type formulas on it are not effective. The most notable facts are the image of a morphism of Banach spaces is not necessarily closed, and also the closed summand of a Banach space need not be a topological direct summand. The main goal of this paper is to construct the theory of K$\ddot{u}$nneth type formula on bounded cohomology with real coefficients in the suitable category of Banach spaces with some restricted conditions.

• Journal of Microbiology and Biotechnology
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• v.15 no.5
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• pp.1125-1129
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• 2005

Cloning of a 6.6-kb BamHI digested chromosomal DNA from S. griseus IFO13350 revealed the presence of an additional gene encoding a novel trypsin-like enzyme, named SprU. The SprU protein shows a high homology ($79\%$ identity, $88\%$ similarity) with the SGT protease, which has been reported as a bacterial trypsin in the same strain. The amino acid sequence deduced from the nucleotide sequence of the sprU gene suggests that SprU is produced as a precursor consisting of an amino-terminal presequence (29 amino acid residues), prosequence (4 residues), and mature trypsin consisting of 222 amino acids with a molecular weight of 22.94 kDa and a calculated pI of 4.13. The serine, histidine, and aspartic acid residues composing the catalytic triad of typical serine proteases are also well conserved. When the trypsin activity of the SprU was spectrophotometrically measured by the enzymatic hydrolysis of the artificial chromogenic substrate, N-${alpha}$-benzoyl-DL-arginine-p-nitroanilide, the S. lividans transformant with pWHM3-U gave 3 times higher activity than that of control. When the same recombinant plasmid was introduced into S. griseus, however, the gene dosage effect was not so significant, as in the cases of other genes encoding serine proteases, such as sprA, sprB, and sprD. Although two trypsins, SprU and SGT, have a high degree of homology, the pI values, the gene dosage effect in S. griseus, and the gene arrangement adjacent to the two genes are very different, suggesting that the biochemical and biological function of the SprU might be quite different from that of the SGT.

• Communications of the Korean Mathematical Society
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• v.32 no.1
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• pp.193-200
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• 2017

Given a pair p, q of relative prime positive integers, we have uniquely determined positive integers x, y, u and v such that vx-uy = 1, p = x + y and q = u + v. Using this property, we show that$${\sum\limits_{1{\leq}i{\leq}x,1{\leq}j{\leq}v}}\;{t^{(i-1)q+(j-1)p}\;-\;{\sum\limits_{1{\leq}k{\leq}y,1{\leq}l{\leq}u}}\;t^{1+(k-1)q+(l-1)p}$$ is the Alexander polynomial ${\Delta}_{p,q}(t)$ of a torus knot t(p, q). Hence the number $N_{p,q}$ of non-zero terms of ${\Delta}_{p,q}(t)$ is equal to vx + uy = 2vx - 1. Owing to well known results in knot Floer homology theory, our expanding formula of the Alexander polynomial of a torus knot provides a method of algorithmically determining the total rank of its knot Floer homology or equivalently the complexity of its (1,1)-diagram. In particular we prove (see Corollary 2.8); Let q be a positive integer> 1 and let k be a positive integer. Then we have $$\begin{array}{rccl}(1)&N_{kq}+1,q&=&2k(q-1)+1\\(2)&N_{kq}+q-1,q&=&2(k+1)(q-1)-1\\(3)&N_{kq}+2,q&=&{\frac{1}{2}}k(q^2-1)+q\\(4)&N_{kq}+q-2,q&=&{\frac{1}{2}}(k+1)(q^2-1)-q\end{array}$$ where we further assume q is odd in formula (3) and (4). Consequently we confirm that the complexities of (1,1)-diagrams of torus knots of type t(kq + 2, q) and t(kq + q - 2, q) in [5] agree with $N_{kq+2,q}$ and $N_{kq+q-2,q}$ respectively.

• Korean Journal of Plant Resources
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• v.17 no.3
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• pp.289-296
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• 2004

A cDNA clone (GenBank accession no. CF924621) homologous to aluminum induced protein gene was isolated and characterized from Codonopsis lanceolata (ClAIP). The ClAIP is 906 nucleotides long and has an open reading frame of 711 bp with a deduced amino acid sequence of 236 residues. The ClAIP shows high homology to A. marina (84%), G. hirsutum(83%), V. radiata (83%), A. thaliana (80%), B. nap us (78%) and T. aestivum (68%). The deduced amino acid sequence of ClAIP also has homology to the N-terminal end of plant Asn synthetase. This region does not contain the active sites of the enzyme and the significance of this conservation is currently not clear. To investigate the expression of ClAIP against several heavy metal stresses, we treated the sliced tap root of C. lanceolata with various heavy metals. The expression of ClAIP was increased by 25 uM $Al_2$(SO$_3$)$_4$ in proportion to incubation time and also increased by 50 uM CdCl$_2$.

• BMB Reports
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• v.45 no.11
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• pp.595-603
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• 2012

Human Ly-6/uPAR molecules are a superfamily composed of two subfamilies; one is the membrane bound proteins with a GPI-anchor and the other are secreted proteins without the GPI-anchor. Ly-6/uPAR molecules have remarkable amino acid homology through a distinctive 8-10 cysteine-rich domain that is associated predominantly with O-linked glycans. These molecules are encoded by multiple tightly linked genes located on Chr. 8q23, and have a conserved genomic organization. Ly-6/uPAR molecules have an interesting expression pattern during hematopoiesis and on specific tumors indicating that Ly-6/uPAR molecules are associated with development of the immune system and carcinogenesis. Thus, Ly-6/uPAR molecules are useful antigens for diagnostic and therapeutic targets. This review summarizes our understanding of human Ly-6/uPAR molecules with regard to molecular structure as well as what is known about their function in normal and malignant tissues and suggest Ly-6/uPAR molecules as target antigens for cancer immunotherapy.

• Journal of Integrative Natural Science
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• v.10 no.1
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• pp.14-19
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• 2017

Neuromedin, a neuropeptide, which is involved in various functions that include contractile activity on smooth muscle, controlling the blood flow and ion transport in the intestine, increased blood pressure and regulation of adrenocortical function. It is involved in the pathophysiology of various immune mediated inflammatory diseases like asthma. In this study, we have performed protein-protein docking analysis of neuromedin U - neuromedin U receptor 1 complex. We have developed homology models of neuromedin U, and selected a reliable model using model validation. The model was docked with the receptor model, to analyse the crucial interactions of the complex. This study could be helpful as a tool in developing novel and potent drugs for the diseases related with neuromedin U receptor 1.