• 한국응용과학기술학회지
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• 제18권3호
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• pp.214-232
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• 2001

CTA ester bonds in TG molecules were not attacked by pancreatic lipase and lipases produced by microbes such as Candida cylindracea, Chromobacterium viscosum, Geotricum candidium, Pseudomonas fluorescens, Rhizophus delemar, R. arrhizus and Mucor miehei. An aliquot of total TG of all the seed oils and each TG fraction of the oils collected from HPLC runs were deuterated prior to partial hydrolysis with Grignard reagent, because CTA molecule was destroyed with treatment of Grignard reagent. Deuterated TG (dTG) was hydrolyzed partially to a mixture of deuterated diacylglycerols (dDG), which were subsequently reacted with (S)-(+)-1-(1-naphthyl)ethyl isocyanate to derivatize into dDG-NEUs. Purified dDG-NEUs were resolved into 1, 3-, 1, 2- and 2, 3-dDG-NEU on silica columns in tandem of HPLC using a solvent of 0.4% propan-1-o1 (containing 2% water)-hexane. An aliquot of each dDG-NEU fraction was hydrolyzed and (fatty acid-PFB ester). These derivatives showed a diagnostic carboxylate ion, $(M-1)^{-}$, as parent peak and a minor peak at m/z 196 $(PFB-CH_{3})^{-}$ on NICI mass spectra. In the mass spectra of the fatty acid-PFB esters of dTGs derived from the seed oils of T. kilirowii and M. charantia, peaks at m/z 285, 287, 289 and 317 were observed, which corresponded to $(M-1)^{-}$ of deuterized oleic acid ($d_{2}-C_{18:0}$), linoleic acid ($d_{4}-C_{18:0}$), punicic acid ($d_{6}-C_{18:0}$) and eicosamonoenoic acid ($d_{2}-C_{20:0}$), respectively. Fatty acid compositions of deuterized total TG of each oil measured by relative intensities of $(M-1)^-$ ion peaks were similar with those of intact TG of the oils by GLC. The composition of fatty acid-PFB esters of total dTG derived from the seed oils of T. kilirowii are as follows; $C_{16:0}$, 4.6 mole % (4.8 mole %, intact TG by GLC), $C_{18:0}$, 3.0 mole % (3.1 mole %), $d_{2}C_{18:0}$, 11.9 mole % (12.5 mole %, sum of $C_{18:1{\omega}9}$ and $C_{18:1{\omega}7}$), $d_{4}-C_{18:0}$, 39.3 mole % (38.9 mole %, sum of $C_{18:2{\omega}6}$ and its isomer), $d_{6}-C_{18:0}$, 41.1 mole % (40.5 mole %, sum of $C_{18:3\;9c,11t,13c}$, $C_{18:3\;9c,11t,13r}$ and $C_{18:3\;9t,11t,13c}$), $d_{2}-C_{20:0}$, 0.1 mole % (0.2 mole % of $C_{20:1{\omega}9}$). In total dTG derived from the seed oils of M. charantia, the fatty acid components are $C_{16:0}$, 1.5 mole % (1.8 mole %, intact TG by GLC), $C_{18:0}$, 12.0 mole % (12.3 mole %), $d_{2}-C_{18:0}$, 16.9 mole % (17.4 mole %, sum of $C_{18:1{\omega}9}$), $d_{4}-C_{18:0}$, 11.0 mole % (10.6 mole %, sum of $C_{18:2{\omega}6}$), $d_{6}-C_{18:0}$, 58.6 mole % (57.5 mole %, sum of $C_{18:3\;9c,11t,13t}$ and $C_{18:3\;9c,11t,13c}$). In the case of Aleurites fordii, $C_{16:0}$; 2.2 mole % (2.4 mole %, intact TG by GLC), $C_{18:0}$; 1.7 mole % (1.7 mole %), $d_{2}-C_{18:0}$; 5.5 mole % (5.4 mole %, sum of $C_{18:1{\omega}9}$), $d_{4}-C_{18:0}$ ; 8.3 mole % (8.5 mole %, sum of $C_{18:2{\omega}6}$), $d_{6}-C_{18:0}$; 82.0 mole % (81.2 mole %, sum of $C_{18:3\;9c,11t,13t}$ and $C_{18:3 9c,11t,13c})$. In the stereospecific analysis of fatty acid distribution in the TG species of the seed oils of T. kilirowii, $C_{18:3\;9c,11t,13r}$ and $C_{18:2{\omega}6}$ were mainly located at sn-2 and sn-3 position, while saturated acids were usually present at sn-1 position. And the major molecular species of $(C_{18:2{\omega}6})(C_{18:3\;9c,11t,13c})_{2}$ and $(C_{18:1{\omega}9})(C_{18:2{\omega}6})(C_{18:3\;9c,11t,13c})$ were predominantly composed of the stereoisomer of $sn-1-C_{18:2{\omega}6}$, $sn-2-C_{18:3\;9c,11t,13c}$, $sn-3-C_{18:3\;9c,11t,13c}$, and $sn-1-C_{18:1{\omega}9}$, $sn-2-C_{18:2{\omega}6}$, $sn-3-C_{18:3\;9c,11t,13c}$, respectively, and the minor TG species of $(C_{18:2{\omega}6})_{2}(C_{18:3\;9c,11t,13c})$ and $ (C_{16:0})(C_{18:3\;9c,11t,13c})_{2}$ mainly comprised the stereoisomer of $sn-1-C_{18:2{\omega}6}$, $sn-2-C_{18:2{\omega}6}$, $sn-3-C_{18:3\;9c,11t,13c}$ and $sn-1-C_{16:0}$, $sn-2-C_{18:3\;9c,11t,13c}$, $sn-3-C_{18:3\;9c,11t,13c}$. The TG of the seed oils of Momordica charantia showed that most of CTA, $C_{18:3\;9c,11t,13r}$, occurred at sn-3 position, and $C_{18:2{\omega}6}$ was concentrated at sn-1 and sn-2 compared to sn-3. Main TG species of $(C_{18:1{\omega}9})(C_{18:3\;9c,11t,13t})_{2}$ and $(C_{18:0})(C_{18:3\;9c,11t,13t})_{2}$ were consisted of the stereoisomer of $sn-1-C_{18:1{\omega}9}$, $sn-2-C_{18:3\;9c,11t,13t}$, $sn-3-C_{18:3\;9c,11t,13t}$ and $sn-1-C_{18:0}$, $sn-2-C_{18:3\;9c,11t,13t}$, $sn-3-C_{18:3\;9c,11t,13t}$, respectively, and minor TG species of $(C_{18:2{\omega}6})(C_{18:3\;9c,11t,13c})_{2}$ and $(C_{18:1{\omega}9})(C_{18:2{\omega}6})(C_{18:3\;9c,11t,13c})$ contained mostly $sn-1-C_{18:2{\omega6}$, $sn-2-C_{18:3\;9c,11t,13t}$, $sn-3-C_{18:3\;9c,11t,13t}$ and $sn-1-C_{18:1{\omega}9}$, $sn-2-C_{18:2{\omega}6}$, $sn-3-C_{18:3\;9c,11t,13t}$. The TG fraction of the seed oils of Aleurites fordii was mostly occupied with simple TG species of $(C_{18:3\;9c,11t,13t})_{3}$, along with minor species of $(C_{18:2{\omega}6})(C_{18:3\;9c,11t,13t})_{2}$, $(C_{18:1{\omega}9})(C_{18:3\;9c,11t,13t})_{2}$ and $(C_{16:0})(C_{18:3\;9c,11t,13t})$. The sterospecific species of $sn-1-C_{18:2{\omega}6}$, $sn-2-C_{18:3\;9c,11t,13t}$, sn-3-C_{18:3\;9c,11t,13t}$, $sn-1-C_{18:1{\omega}9}$, $sn-2-C_{18:3\;9c,11t,13t}$, $sn-3-C_{18:3\;9c,11t,13t}$ and $sn-1-C_{16;0}$, $sn-2-C_{18:3\;9c,11t,13t}$, $sn-3-C_{18:3\;9c,11t,13t}$ are the main stereoisomers for the species of $(C_{18:2{\omega}6})(C_{18:3\;9c,11t,13t})_2$, $(C_{18:1{\omega}9})(C_{18:3\;9c,11t,13t})_{2}$ and $(C_{16:0})(C_{18:3\;9c,11t,13t})$, respectively.

• Investigative Magnetic Resonance Imaging
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• 제13권2호
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• pp.161-170
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• 2009

목적 : 평행영상(Parallel imaging)기법의 개발로 긴 촬영시간 때문에 종종 사용되지 못하던 삼차원 영상기법이 최근 들어 환자 병을 진단하는데 새로이 사용되고 있다. 이 연구의 목적은 최근에 뇌 영상에서 개발되어 이용되고 있는 삼차원 자기공명영상을 사람의 뇌에서 짧은 시간 내에 얻을 수 있도록 2차원 평행영상 기법을 사용한 최적화 방법을 연구하는데 있다. 대상 및 방법 : 검사 장비는 3.0T 자기공명영상장치를 이용하였으며 8-채널 SENSE(sensitivity encoding) 머리 코일을 이용하였다. 팬텀 및 3명의 사람 머리에서 영상을 얻었다. 세 가지의 삼차원 영상법인 3D T1WI, 3D T2WI 및 3D FLAIR 영상 방법에 대하여 평행인자(SENSE factor)의 변화에 따른 팬텀 영상을 얻었다. 각각의 영상법에서 영상획득에 적당한 SENSE 인자를 찾기 위해 Phase encoding 방향과 Slice encoding 방향을 조합한 SENSE 인자를 변화시키면서 영상을 얻었다. 영상분석을 위하여 특정영역(ROI)를 설정한 후에 신호대 잡음비 (Signal-to-noise ratio, SNR), 감소분율(Percent Signal Reduction Rate, %R), 대조도(contrast-to-noise ratio, CNR)를 계산하였다. 결과 : 팬텀을 이용한 SENSE 인자 변화에 따른 SNR 및 %R 값의 변화 결과 3D T1WI 방법에서 SENSE 인자를 사용한 것들 중에서 SENSE 인자를 총 3인 경우 약 0.2%의 신호 감소가 나타났고 영상시간은 5분 이내였다. 3D T2WI 방법의 경우 SENSE 인자를 사용한 것들 중에서 SENSE 인자를 총 3인 경우에 약 1.0% 신호 감소가 나타났고 영상 시간은 약 5분 이내였다. 3D FLAIR 방법의 경우 SENSE 인자를 사용한 것들 중에서 SENSE 인자를 4를 사용한 경우에 약 0.2% 신호 감소가 나타났고 영상시간은 약 6분이었다. 사람을 대상으로 할 경우 3D T1W 및 3D T2W영상에서 SNR 및 CNR은 SENSE 인자를 3으로 한 경우에서 SENSE 인자를 4로 한 경우 보다 높게 나타났다. 3D FALIR 영상의 경우 CNR은 SENSE 4에서는 SENSE 3에 비하여 낮았다. 결론 : 본 연구에서는 3가지 3차원 영상법을 실제 임상적용이 가능한 시간 영역에서 SENSE 인자를 변화 시키면서 치적의 영상을 얻도록 하는 연구를 실시한 결과 SNR 감소를 최소화 하면서 영상획득 시간을 약 5분에서 6분 정도 소요되는 2차원 SENSE 인자를 찾았다. 이를 뇌 영상에 적용하였을 경우 SENSE 인자를 적용하지 않은 경우와 비교하면 신호 감소는 최소화 하면서 영상의 질은 큰 영향을 주지 않은 것으로 나타났다. 3D T1W및 3D T2W는 SENSE 인자를 3으로 3D FLAIR인자는 SENSE 인자를 4로 하는 것이 환자를 대상으로 한 뇌 영상에 적합하다고 생각된다. 앞으로는 이들 영상법이 뇌 영상뿐만 아니라 다른 영역의 영상에 적용을 위한 최적화가 필요하다고 생각된다.

• 한국환경성돌연변이발암원학회지
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• 제24권1호
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• pp.1-9
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• 2004

Three D-type cyelins (D1, D2, and D3) are expressed in G1 phase of the cell cyele and have been implicated in cell transformation and neoplasia in human and mouse. Cyclin D1 overexpression or amplification was described in various human cancers. However, there is controversy about the role of cyclin D2 in cell cyele progression and human carcinogenesis. Specially, loss of cyelin D2 is involved in a vital tumor suppressor function in normal breast tissue, and that its loss may be related to tumorigenesis. The author examined to effect over-expression of cyclin D2 on the cell proliferation, apoptosis, and cell cycle using cyclin D2 transfected stable T47D breast cancer cells to investigate whether cyclinD2 functions as a positive regulator or negative regulator in cell proliferation. Overexpression of cyclin D2 led to the suppression of cell growth in cyclin D2 transfected T47D in both in its expression level and a time dependent manner with up to 50% reduction of cell growth at 72 hours. Therefore, the authors performed the cell cycle phase analysis using the flow cytometry to investigate the effect of cyclin D2 on the cell cycle phase in cyclin D2 transfected stable T47D cells. The flow cytometry analysis revealed increased sub G0 phase in cyclin D2 transfeted cells up to 23% at 72 hours. To confirm these results induced by overexpression of cyclinD2, the apoptotic bodies were counted in control and cyclin D2 transfected T47 cells. There are markedly increases of apoptotic bodies in cyclin D2-transfected cells up to 18%. These results suggested that Cyclin D2 suppresses the cell proliferation in breast cancers cells via the induction of apotosis.

• 한국통신학회논문지
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• 제36권12C호
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• pp.759-763
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• 2011

본 논문에서는 2.4/5.2/5.8-GHz 무선 랜 대역에서 동작하는 슬릿쌍을 이용한 이중대역 T-형 마이크로스트립 모노폴 안테나를 제안하였다. 이중 대역 동작 특성을 얻고 안테나 크기를 줄이기 위해 마이크로스트립으로 급전된 T-형 모노폴 안테나에 T-형 슬릿쌍을 추가하였다. 실험 결과를 통해 제안된 안테나가 주어진 모든 무선 랜 대역에서 동작함이 증명되었다. VSWR이 2 이하인 측정된 임피던스 대역폭은 낮은 주파수 대역에서 5.7% (2.37-2.51GHz)이고 높은 주파수 대역에서 28.8% (4.76-6.35GHz)이다. 2.4GHz 대역에서 측정된 최대 이득은 1.33 dBi ~ 1.66 dBi, 5.25GHz 대역에서 3.50 dBi ~ 3.95 dBi, 5.8GHz 대역에서 2.06 dBi ~ 2.34 dBi이다.

• 한국가금학회지
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• 제35권4호
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• pp.375-380
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• 2009

본 시험은 비절식 강제 환우 가 산란계의 장기 비율의 변화 및 혈액 성상에 미치는 영향을 알아보고자 60주령 Leghorn종 400수를 공시하여 34주간 실시하였다. 처리구는 관행적으로 절식한 대조구(C), 옥수수 단일사료 급여(T1), 밀기울 단일 사료 급여(T2) 및 알팔파 단일 사료를 급여(T3)한 4처리로서, 처리구당 5반복, 반복당 20수씩 철제 케이지에 완전임의 배치하였다. 시험결과, 생체중 대비 장기 비율은 환우 개시시 난소는 $2.03{\sim}2.86%$, 난관은 $2.51{\sim}3.47%$로 처리구간에 유의차를 보이지 않았으며, 환우 종료시에는 난소의 경우 $0.25{\sim}0.41%$로서 차이가 없었으나, 난관은 대조구, T1구, T2 구 및 T3구가 각각 1.15%, 0.80%, 0.46% 및 0.89%로서 T2구가 대조구, T3구보다 유의적으로 낮았다(P<0.05). 50% 산란시 난소는 $2.19{\sim}2.60%$, 난관은 $3.00{\sim}3.50%$였으며, 산란피크시에 난소의 경우 2.65{\sim}3.01%, 난관은 $3.25{\sim}3.65%$로서 절식과 비절식에 따른 처리간에 차이가 나타나지 않았다. 혈액성상에서 Cholesterol은 환우 개시시 $179.8{\sim}245.7\;mg/dL$로서 처리간에 차이가 없었고, 환우 종료시에는 대조구 353.6, T1구 229.1, T2구 261.8 및 T3구 300.6 mg/dL로서 T1구가 대조구 및 T3구보다 유의적으로 낮았으며(P<0.05), 시산시에는 $228.1{\sim}271.8\;mg/dL$, 50% 산란시에는 $236.5{\sim}284.8\;mg/dL$로서 처리간에 차이가 없었다. 산란 피크시에는 대조구, T1구, T2구 및 T3구가 각각 324.1, 591.6, 363.0 및 315.6 mg/dL로서 T1구가 다른 처리구에 비하여 유의적으로 높았다(P<0.05).

• Clinical and Experimental Pediatrics
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• 제64권10호
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• pp.525-530
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• 2021

Background: Exposure to air pollution (gaseous pollutants and/or particulate matter) has been associated with the incidence, prevalence, and mortality of type 1 diabetes (T1D). Purpose: To examine the quantitative relationship between air pollutant emissions and the incidence of T1D. Methods: We examined the association between the incidence of T1D and type 2 diabetes (T2D) in 2017 as well as that of T1D in patients younger than 15 years in 2016 with "emissions of air-polluting substances from stationary and mobile sources by regions of the Russian Federation in 2016" as reported by the Federal Diabetes Register of Russia downloaded from the Russian government website (http://www.mnr.gov.ru/docs/gosudarstvennye_doklady/o_sostoyanii_i_ob_okhrane_okruzhayushchey_sredy_rossiyskoy_federatsii/). Results: The incidence of T1D across all ages in each region of the Russian Federation correlated with the total air pollutants emitted in the region each year (r=0.278, P=0.013). The incidence of T2D was also correlated with the amount of air pollutants (r=0.234, P=0.037) and the incidence of T1D (r=0.600, P<0.001) in each country. Similarly, the incidence of T1D in patients younger than 15 years correlated with the total air pollutants emitted each year in each region (r=0.300, P=0.011). Conclusion: The quantitative relationship between the total air pollutants emitted and the incidence of T1D and T2D in the Russian Federation suggests that air pollution contributes to the development of T1D and T2D.

• IMMUNE NETWORK
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• 제13권5호
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• pp.194-198
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• 2013

Recent papers have shown that the initial event in the pathogenesis of autoimmune type 1 diabetes (T1D) comprises sensing of molecular patterns released from apoptotic ${\beta}$-cells by innate immune receptors such as toll-like receptor (TLR). We have reported that apoptotic ${\beta}$-cells undergoing secondary necrosis called 'late apoptotic' ${\beta}$-cells stimulate dendritic cells (DCs) and induce diabetogenic T cell priming through TLR2. The role of other innate immune receptors such as TLR7 or TLR9 in the initiation of T1D has also been suggested. We hypothesized that TLR2 blockade could inhibit T1D at the initial step of T1D. Indeed, when a TLR2 agonist, $Pam3CSK_4$ was administered chronically, the development of T1D in nonobese diabetic (NOD) mice was inhibited. Diabetogenic T cell priming by DCs was attenuated by chronic treatment with $Pam3CSK_4$, indicating DC tolerance. For the treatment of established T1D, immune tolerance alone is not enough because ${\beta}$-cell mass is critically reduced. We employed TLR2 tolerance in conjunction with islet transplantation, which led to reversal of newly established T1D. Dipeptidyl peptidase 4 (DPP4) inhibitors are a new class of anti-diabetic agents that have beneficial effects on ${\beta}$-cells. We investigated whether a combination of DPP4 inhibition and TLR2 tolerization could reverse newly established T1D without islet transplantation. We could achieve normoglycemia by TLR2 tolerization in combination with DPP4 inhibition but not by TLR2 tolerization or DPP4 inhibition alone. ${\beta}$-cell mass was significantly increased by combined treatment with TLR2 tolerization and DPP4 inhibition. These results suggest the possibility that a novel strategy of TLR tolerization will be available for the inhibition or treatment of established T1D when combined with measures increasing critically reduced ${\beta}$-cell mass of T1D patients such as DPP4 inhibition or stem cell technology.

• 한국전자통신학회논문지
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• 제10권4호
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• pp.477-482
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• 2015

본 논문에서는 사물인터넷 사용자가 유니티 기반의 스마트 미디어에서 3차원 형태로 표출하고자 유니티 런처 플랫폼을 제안하였다. 안드로이드 기반의 홈 게이트웨이는 유니티 엔진을 연동하는 플랫폼에서 동영상과 3차원 무비 텍스쳐가 동시에 연동하게 되었다. 유니티 런처 기반의 플랫폼은 3차원 공간에서 IoT 센서의 위치를 표출하는 유니티 활용 방안을 설계하였다. 제안한 스마트 게이트웨이 플랫폼에서 3차원 사물인터넷 센서의 위치를 추적하는 방식은 센서의 무선신호세기인 RSSI 신호와 방위각 정보를 활용함으로서 3차원 공간 상에서 IoT 센서의 3D 위치를 표출할 수 있다. 유니티 런쳐가 탑재된 스마트 게이트웨이 플랫폼은 3차원 입체모형으로 IoT 센서의 위치를 표출하기 위해 2D 평면도를 3차원으로 변환할 수 있다. 이러한 플랫폼은 3차원 큐브 형태로 센서의 위치 표시함으로서 IoT 센서의 동작 상태를 모니터링 할 수 있으며, 설치에서 폐기까지의 생애 주기를 표시할 수 있다.

• Journal of Periodontal and Implant Science
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• 제52권4호
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• pp.282-297
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• 2022

Purpose: To explore differences in the subgingival microbiome according to the presence of periodontitis and/or type 2 diabetes mellitus (T2D), a metagenomic sequencing analysis of the subgingival microbiome was performed. Methods: Twelve participants were divided into 4 groups based on their health conditions (periodontitis, T2D, T2D complicated with periodontitis, and generally healthy). Subgingival plaque was collected for metagenomic sequencing, and gingival crevicular fluids were collected to analyze the concentrations of short-chain fatty acids. Results: The shifts in the subgingival flora from the healthy to periodontitis states were less prominent in T2D subjects than in subjects without T2D. The pentose and glucuronate interconversion, fructose and mannose metabolism, and galactose metabolism pathways were enriched in the periodontitis state, while the phosphotransferase system, lipopolysaccharide (LPS) and peptidoglycan biosynthesis, bacterial secretion system, sulfur metabolism, and glycolysis pathways were enriched in the T2D state. Multiple genes whose expression was upregulated from the red and orange complex bacterial genomes were associated with bacterial biofilm formation and pathogenicity. The concentrations of propionic acid and butyric acid were significantly higher in subjects with periodontitis, with or without T2D, than in healthy subjects. Conclusions: T2D patients are more susceptible to the presence of periodontal pathogens and have a higher risk of developing periodontitis. The pentose and glucuronate interconversion, fructose and mannose metabolism, galactose metabolism, and glycolysis pathways may represent the potential microbial functional association between periodontitis and T2D, and butyric acid may play an important role in the interaction between these 2 diseases. The enrichment of the LPS and peptidoglycan biosynthesis, bacterial secretion system, and sulfur metabolism pathways may cause T2D patients to be more susceptible to periodontitis.

• 대한수학회지
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• 제58권3호
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• pp.643-702
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• 2021

Fix ℤ/2 is the prime field of two elements and write 𝒜₂ for the mod 2 Steenrod algebra. Denote by GL_d := GL(d, ℤ/2) the general linear group of rank d over ℤ/2 and by ${\mathfrak{P}}_d$ the polynomial algebra ℤ/2[x₁, x₂, …, x_d] as a connected unstable 𝒜₂-module on d generators of degree one. We study the Peterson "hit problem" of finding the minimal set of 𝒜₂-generators for ${\mathfrak{P}}_d$. Equivalently, we need to determine a basis for the ℤ/2-vector space $$Q{\mathfrak{P}}_d:={\mathbb{Z}}/2{\otimes}_{\mathcal{A}_2}\;{\mathfrak{P}}_d{\sim_=}{\mathfrak{P}}_d/{\mathcal{A}}^+_2{\mathfrak{P}}_d$$ in each degree n ≥ 1. Note that this space is a representation of GL_d over ℤ/2. The problem for d = 5 is not yet completely solved, and unknown in general. In this work, we give an explicit solution to the hit problem of five variables in the generic degree n = r(2^t - 1) + 2^ts with r = d = 5, s = 8 and t an arbitrary non-negative integer. An application of this study to the cases t = 0 and t = 1 shows that the Singer algebraic transfer of rank 5 is an isomorphism in the bidegrees (5, 5 + (13.2⁰ - 5)) and (5, 5 + (13.2¹ - 5)). Moreover, the result when t ≥ 2 was also discussed. Here, the Singer transfer of rank d is a ℤ/2-algebra homomorphism from GL_d-coinvariants of certain subspaces of $Q{\mathfrak{P}}_d$ to the cohomology groups of the Steenrod algebra, $Ext^{d,d+*}_{\mathcal{A}_2}$ (ℤ/2, ℤ/2). It is one of the useful tools for studying these mysterious Ext groups.