Van der Waerden's continuity theorem for the commutator subgroups of connected Lie groups and Mishchenko's conjecture

A. I. Shtern 장전수학회 2006 Advanced Studies in Contemporary Mathematics Vol.13 No.2

As was proved by van der Waerden in 1933, every finite-dimensional locally bounded representation of a semisimple compact Lie group is continuous. In this paper, with the help of an earlier result of the author claiming that the van der Waerden theorem holds for any connected semisimple Lie group, it is proved that every locally bounded finite-dimensional representation of a connected Lie group is continuous on the commutator subgroup of the group; moreover, it turns out that a connected Lie group satis¯es the assertion of the van der Waerden theorem (i.e., all locally bounded finite-dimensional representations of the group are continuous) if and only if the group is perfect (i.e., coincides with the commutator subgroup). Thus, for perfect connected linear Lie groups, the structure of (totally) bounded sets de¯nes the topology, and any boundedness-preserving group isomorphism of a perfect connected linear Lie group onto another perfect connected linear Lie group is automatically continuous. To study this phenomenon, the notion of discontinuity group of a locally bounded finite-dimensional representation of a topological group is introduced and studied. The notion of local boundedness of a representation is naturally related to the notion of point oscillation (at the identity element of the group) introduced by the author in 2002. According to a conjecture expressed by A. S. Mishchenko, the finite-dimensional representations of Lie groups can take only three possible values for the (reasonably defined) point oscillation, namely, 0, 2, and 1. We prove the validity of the conjecture. As a corollary, we prove that the class of connected Lie groups for which the point oscillation of a finite-dimensional representation can take only two values, 0 and 1, is the very class of perfect connected Lie groups. Related open problems are indicated.

A novel mode of TRPML3 regulation by extracytosolic pH absent in the varitint-waddler phenotype

Kim, Hyun Jin,Li, Qin,Tjon-Kon-Sang, Sandra,So, Insuk,Kiselyov, Kirill,Soyombo, Abigail A,Muallem, Shmuel Wiley (John WileySons) 2008 The EMBO journal Vol.27 No.8

<P>TRPML3 belongs to the TRPML subfamily of the transient receptor potential (TRP) channels. The A419P mutation in TRPML3 causes the varitint-waddler phenotype as a result of gain-of-function mutation (GOF). Regulation of the channels and the mechanism by which the A419P mutation leads to GOF are not known. We report here that TRPML3 is a Ca(2+)-permeable channel with a unique form of regulation by extracytosolic (luminal) H(+) (H(+)(e-cyto)). Regulation by H(+)(e-cyto) is mediated by a string of three histidines (H252, H273, H283) in the large extracytosolic loop between transmembrane domains (TMD) 1 and 2. Each of the histidines has a unique role, whereby H252 and H273 retard access of H(+)(e-cyto) to the inhibitory H283. Notably, the H283A mutation has the same phenotype as A419P and locks the channel in an open state, whereas the H283R mutation inactivates the channel. Accordingly, A419P eliminates regulation of TRPML3 by H(+)(e-cyto), and confers full activation to TRPML3(H283R). Activation of TRPML3 and regulation by H(+)(e-cyto) are altered by both the alpha-helix-destabilizing A419G and the alpha-helix-favouring A419M and A419K. These findings suggest that regulation of TRPML3 by H(+)(e-cyto) is due to an effect of the large extracytosolic loop on the orientation of fifth TMD and thus pore opening and show that the GOF of TRPML3(A419P) is due to disruption of this communication.</P>

A characterization of normal subgroups via -closed sets

A. Badawi 장전수학회 2012 Advanced Studies in Contemporary Mathematics Vol.22 No.2

Let (G, *) be a semigroup, D ⊆ G, and n ≥ 2 be an integer. We say that (D, *) is an n-closed subset of G if a_1 * ... * a_n ∈ D for every a_1, ..., a_n ∈ D. Hence every closed set is a 2-closed set. The concept of n-closed sets arise in so many natural examples. For example, let D be the set of all odd integers, then (D, +) is a 3-closed subset of (Z, +) that is not a 2-closed subset of (Z, +). If K = {1, 4, 7, 10, ...} , then (K, +) is a 4-closed subset of (Z, +) that is not an n-closed subset of (Z, +) for n = 2, 3. In this paper, we show that if (H, *) is a subgroup of a group (G, *) such that [H : G] = n < ∞,then H is a normal subgroup of G if and only if every left coset of H is an n + 1-closed subset of G.

2G HTS wire with enhanced engineering current density attained through the deposition of HTS layer with increased thickness

A. Molodyk,A. Markelov,A. Valikov,V. Chepikov,A. Petrzhik,B. Massalimov,P. Degtyarenko,R. Uzkih,A. Soldatenko,Kideok Sim,Soon Hwang 한국초전도.저온공학회 2019 한국초전도저온공학회논문지 Vol.21 No.4

2G HTS wire with high engineering current density is desired for applications where compact, high power density superconducting equipment is important. We have succeeded in enhancing engineering current density of commercial SuperOx 2G HTS wire based on GdBCO by increasing the HTS layer thickness without fast degradation of the HTS film microstructure. This was possible after improving the temperature uniformity along the HTS film deposition zone. In particular, the wire engineering current density was increased from 700-770 A/mm2 (for a 65 µm-thick wire without stabilisation) or 430-480 A/mm2 (for a 105 µm-thick stabilised wire) at the beginning of this study to almost 1200 A/mm2 (for a 67 µm-thick wire without stabilisation) or 770 A/mm2 (for a 107 µm-thick stabilised wire) at completion of this study.

$n$-weak amenability and strong double limit property

A.R. Medghalchi,T. Yazdanpanah 대한수학회 2005 대한수학회보 Vol.42 No.2

Let {mathcal A} be a Banach algebra, we say that {mathcalA}has the strongly double limit property (SDLP) if for each boundednet (a_{alpha}) in {mathcal A} and each bounded net(a^*_{beta}) in {mathcal A}^*, lim_{alpha}lim_{beta}leftlangle a_{alpha} , a^*_{beta}rightrangle = lim_{beta} lim_{alpha} leftlangle a_{alpha}, a^*_{beta} rightrangle whenever both iterated limits exist. In this paperamong other results we show that if {mathcal A} has the SDLP and{mathcal A}^{**} is (n-2)-weakly amenable, then {mathcal A} isn-weakly amenable. In particular, it is shown that if {mathcalA}^{**} is weakly amenable and {mathcal A} has the SDLP, then ${\mathcal A}$ is weakly amenable

A study of nerve agent model organophosphonate binding with manganese-A₂B-corrole and -A₂B₂-porphyrin systems

Kim, K.,Kim, I.,Maiti, N.,Kwon, S.J.,Bucella, D.,Egorova, O.A.,Lee, Y.S.,Kwak, J.,Churchill, D.G. Pergamon Press 2009 Polyhedron Vol.28 No.12

Herein the synthesis and binding studies of novel trans-A<SUB>2</SUB>B-corrole and trans-A<SUB>2</SUB>B<SUB>2</SUB>-porphyrin derivatives are presented in comparing manganese(III)-organophosphonate (OP) binding (e.g., M<SUP>n+</SUP>←O?PR(OR)<SUB>2</SUB>) capabilities. H<SUB>3</SUB>(PFP-VC) [PFP-VC=5,15-di(pentafluorophenyl)-10-(3-vinylphenyl)corrolate] was synthesized by way of literature procedures and was characterized by a variety of 2-D NMR spectroscopic techniques and single-crystal X-ray diffraction. These compounds represent the first example of 3-vinyl-phenyl-containing meso-substituted corroles or porphyrins. Mn(PFP-VC) (3) was treated separately with (CH<SUB>3</SUB>CH<SUB>2</SUB>O)<SUB>2</SUB>P?O(C<SUB>3</SUB>H<SUB>6</SUB>NMe<SUB>2</SUB>), (C<SUB>4</SUB>H<SUB>9</SUB>O)<SUB>2</SUB>P?O(Me), (C<SUB>2</SUB>H<SUB>5</SUB>O)<SUB>2</SUB>P?O(CH<SUB>2</SUB>COCH<SUB>3</SUB>), (CH<SUB>3</SUB>CH<SUB>2</SUB>O)<SUB>2</SUB>P?O(Me), to give 1:1 adducts, as determined by UV-Vis spectroscopy (Job Plot), giving a red shift; Ph<SUB>3</SUB>P?O, was also found to bind, but very weakly. The trans-A<SUB>2</SUB>B<SUB>2</SUB>-porphyrin analogue Mn(PFP-VP) (4) was also prepared by way of a literature procedure; related binding studies gave 1:1 organophosphonate-Mn(PFP-VP) adducts (Job Plot). A clean blue shift occurred for the Mn-porphyrins at higher organophosphonate loadings (K<SUB>a</SUB> values: 6.7 (0.9)-11.9 (0.4)M<SUP>-1</SUP>). DFT geometry optimizations of O?P(OMe)<SUB>2</SUB>Me binding and formal Mn-O or P-O cleavage products in the unsubstituted neutral Mn-corrolato and -porphyrinato systems with a range of metal-based spin states revealed greatest stability in formal phosphoryl oxygen binding (energies: 11-13kcal/mol) for the Mn-corrole (singlet); the Mn-porphyrin (sextet) was also quite stable.

Photocatalytic abatement of phenol on amorphous TiO2-BiOBr-bentonite heterostructures under visible light irradiation

Menelisi C. Dlamini,Mbongiseni L. Dlamini,Pumza Mente,Boitumelo Tlhaole,Rudolph Erasmus,Manoko S. Maubane-Nkadimeng,John A. Moma 한국공업화학회 2022 Journal of Industrial and Engineering Chemistry Vol.111 No.-

A simplistic solvothermal process to fabricate novel amorphous TiO2-BiOBr-Bentonite (A-TiO2-BiOBr-Bt)multidimensional photocatalysts in this work is a practical and economically feasible technique for thefabrication of the reported photocatalysts as it is a one-pot process. The stickiness of the A-TiO2-BiOBr-Bt wet cake and the low drying temperature make A-TiO2-BiOBr-Bt a feasible platform compositefor the fabrication of the photoreactive inner coating of water treatment containers for photocatalytictreatment of drinking water. The A-TiO2-BiOBr-Bt photocatalyst with an A-TiO2:BiOBr:Bt mass ratio of1:1:2 (Ti1Bi1Bt2) displayed the highest BET surface area of 124.8 m2/g, a low bandgap of 2.86 eV, and sufficientlylow electron-hole recombination rate. The high number of A-TiO2-BiOBr p-n heterojunctions,and the Ti-O-Si and Bi-O-Si bonds between A-TiO2-BiOBr and Bt in Ti1Bi1Bt2 lowered its electron-holerecombination rate with enhanced visible light-harvesting ability. Within 70 min of visible light irradiation,150 mg of Ti1Bi1Bt2 gave 100% conversion of 100 mL of 20 ppm phenol with a pseudo-first-order rateconstant of 0.0322 min1 at pH 4.0. Scavenging experiments showed superoxide radicals (O2) and electrons(e) being the most dominant reactive oxidation species (ROS) responsible for the phenol photodegradationprocess while holes (h+) and hydroxyl radicals (OH) also exerted appreciableparticipation.

A형 간염의 자연항체와 예방접종을 통한 항체 생성률의 역가 비교분석

권원현,김경화,조경아,문기춘,김정인,이인원,Kwon, Won Hyun,Kim, Kyung Hwa,Cho, Kyung A,Moon, Ki Choon,Kim, Jung In,Lee, In Won 대한핵의학기술학회 2013 핵의학 기술 Vol.17 No.2

2008년부터 A형 간염 환자들이 급속히 증가하고 본원에 내원하여 건진을 받는 대부분의 수검자들이 A형 간염(IgG) 항체 생성 유무에 관심이 많아지며 검사 건수가 증가하였다. 그에 따라 항체 검사결과가 cut-off값에 걸리는 검체가 많아져 원인을 분석하였더니 대부분 A형 간염 예방접종을 한 수검자들이었다. 이에 저자들은 건강증진센터에서 설문조사를 통하여 자연면역을 획득한 수검자들 그룹과 본원에서 A형 간염 예방접종(1차, 2차)을 실시한 직원들 그룹으로 나누어 검사를 시행하였고 cut-off값을 기준으로 항체 생성률과 그에 대한 역가를 비교하고 진단검사의학과와 핵의학과에서 사용하는 진단 시약간에 항체 생성률과 그에 대한 역가를 비교해 보고자 했고, 2012년 8월 한 달 동안 건진 수검자 185명을 설문조사하여 자연면역을 획득한 119명과 본원에서 예방 접종을 실시한 직원들을 대상으로 1차 접종자 53명, 2차 접종자 59명으로 대상을 분류했다. 항체 생성률은 cut-off값 1을 기준했을 때 0.90-1.10 (${\pm}$), 0.60-0.89 (1+), 0.30-0.59 (2+), 0.01-0.29 (3+)로 나누어 역가를 비교하고, 같은 기준으로 제조사별 백신 접종 후 항체 생성률에 대한 역가를 비교평가 해 보았다. 그 결과, 건진 수검자 중 자연 면역을 획득한 수검자는 cut-off값 1을 기준했을 때, 0.90-1.10 (${\pm}$)가 0%, 0.60-0.89 (1+)가 0%, 0.30-0.59 (2+)가 4.2%, 0.01-0.29 (3+)가 96%로 역가가 <0.60 ($${\geq_-}2+$$)가 100%였다. 그리고 예방접종을 실시한 직원들의 항체 생성률은 1차 접종자 중 ${\pm}$가 59.1%, 1+가 18.1%, 2+가 18.1%, 3+가 4.6%로 총 45.3%였고, 역가는 $${\geq_-}$$ 0.60 ($${\leq_-}1+$$)가 77.3%였다. 2차 접종자의 항체 생성률은 ${\pm}$가 1.9%, 1+가 15.4%, 2+가 36.54%, 3+가 46.2%로 총 88.1%였고 역가는 <0.60 ($${\geq_-}2+$$) 82.7%가 였다. 또한 제조사별로 비교 하였을 때 1차 접종자의 항체 생성률은 BNIBT 20.8% (${\pm}24.5%$), GB 15.7% (${\pm}7.8%$), RIAKEY 94.3% (${\pm}3.8%$), ROCHE 83% (${\pm}0%$), Abbot 73.1% (${\pm}5.8%$)였고, 2차 접종자의 항체 생성률은 BNIBT 86.4% (${\pm}1.7%$), GB 88.5% (${\pm}1.9%$), RIAKEY 100% (${\pm}0%$), ROCHE 98.3% (${\pm}0%$), Abbot 98.2% (${\pm}0%$)였다. 즉 자연면역 항체가 예방접종에 의한 항체보다 역가가 높다는 것을 알 수 있었고, 1차 접종 후 보다는 2차 접종 후 검사를 시행했을 때 항체 생성률과 역가가 대부분 높아짐을 알 수 있었다. 따라서 결과 보고시 negative, index (${\pm}$), weak positive (1+), positive (2+), strong positive (3+)로 역가를 나누어 보고를 하거나 결과값에 index값을 같이 적어서 결과를 상세히 보고한다면 과거결과와 비교도 가능할 것이다. 또 제조사별 비교 시 1차 예방접종 후의 항체 생성률과 역가에서 시약간에 많은 차이를 보이고 있었고, 매년 예방 접종률이 높아지고 있는 시점에서 이러한 차이를 줄이기 위해서 각 제조사들은 민감도나 재현성에 더 주의를 기울여야 하겠고, 자연면역항체와 예방접종을 통한 항체간에 생길 수 있는 미지의 차이를 감안하여 검사자들이 사용하는 시약을 신뢰할 수 있도록 더 연구하고 개발해야 할 것이다. Purpose: Since 2008, hepatitis A patients was rapidly increasing. So, Most of the health checkup examinees were interested in whether hepatitis A antibody was a lot. thereby The number of tests was increasing. In recent years, Antibody test results in the range of cut-off values were increased. According to the cause analysis, most examinees had a hepatitis A vaccine. This study was conducted to classify hepatitis A antibody as natural antibody and antibody after vaccination and compared the titer for seroconversion rate based on cut-off values. Materials and Methods: For a month in August 2012, First, We surveyed 185 health examinees and classified 119 health examinees who had acquired natural antibody. Second, for employees who were inoculated against hepatitis at our hospital, We classified into 53 primary inoculators and 59 secondary inculators. when the standard of cut-off value was 1, The seroconversion rate was compared the titer divided by 0.90-1.10 (${\pm}$), 0.60-0,89 (1+), 0.30-0.59 (2+), 0.01-0.29 (3+) and we compared the titer for seroconversion rate by each manufacturer after vaccination. Results: When the standard of cut-off value was 1, the titer of 119 health examinees who had acquired natural antibody was 0.90-1.10 (${\pm}$): 0%, 0.60-0.89 (1+): 0%, 0.30-0.59 (2+): 4.2%, 0.01-0.29 (3+): 96% and the titer of <0.60 ($${\geq_-}2+$$) was 100%. The titer of 53 primary inoculators was 0.90-1.10 (${\pm}:59.1%$), 0.60-0.89 (1+): 18.1%, 0.30-0.59 (2+): 18.1%, 0.01-0.29 (3+): 4.6% and the seroconversion rate was 45.3%. The titer of $${\geq_-}0.60$$ ($${\leq_-}1+$$) was 77.3%. The titer of 59 secondary inoculators was 0.90-1.10 (${\pm}:1.9%$), 0.60-0.89 (1+): 15.4%, 0.30-0.59 (2+): 36.54%, 0.01-0.29 (3+): 46.2% and the seroconversion rate was 88.1%. The titer of <0.60 ($${\geq_-}2+$$) was 82.7%. When we compared the titer for seroconversion rate by each manufacturer after vaccination, the seroconversion rate of 53 primary inoculators was BNIBT: 20.8% (${\pm}:24.5%$), GB: 15.7% (${\pm}:7.8%$), RIAKEY: 94.3% (${\pm}:3.8%$), ROCHE: 83% (${\pm}:0%$), ABBOTT: 73.1% (${\pm}:5.8%$) and the seroconversion rate of 59 secondary inoculators was BNIBT : 86.4% (${\pm}:1.7%$), GB: 88.5% (${\pm}:1.9%$), RIAKEY: 100% (${\pm}:0%$), ROCHE: 98.3% (${\pm}:0%$), ABBOTT: 98.2% (${\pm}:0%$). Conclusion: The study show that the titer of natural immune antibodies is higher than the titer of vaccination and the titer of secondary inoculation is mainly higher than the titer of primary inoculation. Consequently, if we know the titer of hepatitis A antibodies, it will help to give resullt reports. And then, when we compared the titer and the seroconversion rate by each manufacturer, There was a very distinct difference. As the test subjects inoculate against hepatitis A (HAV), it is considered BNIBT, GB will occur false negative rate and RIAKEY, ROCHE, ABOTT will occur false positive rate.

A microfluidic electrochemical aptasensor for enrichment and detection of bisphenol A.

Kashefi-Kheyrabadi, Leila,Kim, Junmoo,Gwak, Hogyeong,Hyun, Kyung-A.,Bae, Nam Ho,Lee, Seok Jae,Jung, Hyo-Il Elsevier 2018 Biosensors & bioelectronics Vol.117 No.-

<P><B>Abstract</B></P> <P>Bisphenol A (BPA) is an organic monomer used to make common consumer goods such as plastic containers, sports equipment, and cosmetics which are heavily produced worldwide. A growing interest has been drawn to general public as BPA is one of the major endocrine disrupting chemicals threating human health. To date, numerous BPA sensors have been attempted to be developed but important challenges still remained such as limited linearity range, easy to use, and long term response time. To address the present issues, a microfluidic channel should be integrated into an electrochemical aptasensor and it is called Geometrically Activated Surface Interaction (GASI) chip. The vigorous generation of the micro-vortex in the GASI fluidic chamber provides the high collision chances between BPA and anti-BPA aptamer (BPAPT) and consequently more BPA molecules can be captured on the aptasensor surface, which finally results in high sensitivity of the aptasensor. To construct the integrated aptasensor, a miniaturized gold electrode is fabricated using shadow mask and e-beam evaporation process. Afterward, BPAPT is immobilized on a nanostructured gold electrode via thiol chemistry, and other terminus of the aptamer is labeled with a ferrocene (Fc) redox probe. Then, the microfluidic channel is mounted over the miniaturized gold electrode to introduce and enrich BPA to the aptasensor. Upon the specific interaction between BPA and its aptamer, configuration of aptamer is changed so that Fc tag approaches to the electrode surface and direct oxidation signal of Fc and BPA are followed as analytical signals. The unique microfluidic integrated electrochemical aptasensor delivers a wide linear dynamic range over 5 × 10<SUP>–12</SUP> to 1 × 10<SUP>−9</SUP> M, with a limit of detection 2 × 10<SUP>–13</SUP> M. This aptasensor provides a precise platform for simple, selective and more importantly rapid detection of BPA. Such kind of sensing platforms can serve as a fertile ground for designing miniaturized portable sensors.</P> <P><B>Highlights</B></P> <P> <UL> <LI> GASI generates micro-vortex resulting in enhanced capture of BPA and subsequently enhanced sensitivity of the aptasensor. </LI> <LI> The aptasensor has low LOD, wide linear dynamic range and good response time compared to conventional aptasensors. </LI> </UL> </P>

Couette-Taylor crystallizer: Effective control of crystal size distribution and recovery of l-lysine in cooling crystallization

Nguyen, A.T.,Yu, T.,Kim, W.S. North-Holland Pub. Co 2017 Journal of crystal growth Vol.469 No.-

A Couette-Taylor crystallizer is developed to enhance the l-Lysine crystal size distribution and recovery in the case of continuous cooling crystallization. When using the proposed Couette-Taylor (CT) crystallizer, the size distribution and crystal product recovery were much narrower and higher, respectively, than those from a conventional stirred tank (ST) crystallizer. Here, the coefficient of the size distribution for the crystal product from the CT crystallizer was only 0.45, while it was 0.78 in the case of the conventional ST crystallizer at an agitation speed of 700rpm, mean residence time of 20min, and feed concentration of 900(g/L). Furthermore, when using the CT crystallizer, the crystal product recovery was remarkably enhanced up to 100%wt with a mean residence time of only 20min, while it required a mean residence time of at least 60min when using the conventional ST crystallizer. This result indicates that the CT crystallizer was much more effective than the conventional ST crystallizer in terms of controlling a narrower size distribution and achieving a 100%wt l-lysine crystal product recovery from continuous cooling crystallization. The advantage of the CT crystallizer over the conventional ST crystallizer was explained based on the higher energy dissipation of the Taylor vortex flow and larger surface area for heat transfer of the CT crystallizer. Here, the energy dissipation of the Taylor vortex flow in the CT crystallizer was 13.6 times higher than that of the random fluid motion in the conventional ST crystallizer, while the surface area per unit volume for heat transfer of the CT crystallizer was 8.0 times higher than that of the conventional ST crystallizer. As a result, the mixing condition and heat transfer of the CT crystallizer were much more effective than those of the conventional ST crystallizer for the cooling crystallization of l-lysine, thereby enhancing the l-lysine crystal size distribution and product recovery.