• Communications of the Korean Mathematical Society
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• v.34 no.1
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• pp.279-286
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• 2019

Complex Grassmann manifolds $G_{n,k}$ are a generalization of complex projective spaces and have many important features some of which are captured by the $Pl{\ddot{u}}cker$ embedding $f:G_{n,k}{\rightarrow}{\mathbb{C}}P^{N-1}$ where $N=\(^n_k\)$. The problem of existence of cross sections of fibrations can be studied using the Gottlieb group. In a more generalized context one can use the relative evaluation subgroup of a map to describe the cohomology of smooth fiber bundles with fiber the (complex) Grassmann manifold $G_{n,k}$. Our interest lies in making use of techniques of rational homotopy theory to address problems and questions involving applications of Gottlieb groups in general. In this paper, we construct the Sullivan minimal model of the (complex) Grassmann manifold $G_{n,k}$ for $2{\leq}k<n$, and we compute the rational evaluation subgroup of the embedding $f:G_{n,k}{\rightarrow}{\mathbb{C}}P^{N-1}$. We show that, for the Sullivan model ${\phi}:A{\rightarrow}B$, where A and B are the Sullivan minimal models of ${\mathbb{C}}P^{N-1}$ and $G_{n,k}$ respectively, the evaluation subgroup $G_n(A,B;{\phi})$ of ${\phi}$ is generated by a single element and the relative evaluation subgroup $G^{rel}_n(A,B;{\phi})$ is zero. The triviality of the relative evaluation subgroup has its application in studying fibrations with fibre the (complex) Grassmann manifold.

• Communications of the Korean Mathematical Society
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• v.36 no.4
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• pp.835-840
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• 2021

In this paper, we compute the rational evaluation subgroup of the Hopf fibration S²ⁿ⁺¹ ↪ ℂP(n). We show that, for the Sullivan model 𝜙 : A → B, where A and B are the minimal Sullivan models of ℂP(n) and S²ⁿ⁺¹ respectively, the evaluation subgroup G_n(A, B; 𝜙) and the relative evaluation subgroup G^rel_n (A, B; 𝜙) of 𝜙 are generated by single elements.

• Communications of the Korean Mathematical Society
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• v.11 no.1
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• pp.235-244
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• 1996

For a self-map f of a CW-pair (X, A), we introduce the G(f)-sequence of (X, A) which consists of subgroups of homotopy groups in the homotopy sequence of (X, A) and show some properties of the relative homotopy Jian groups. We also show a condition for the G(f)-sequence to be exact.

• Communications of the Korean Mathematical Society
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• v.12 no.3
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• pp.709-715
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• 1997

For a fibration (E,B,p) with fiber F and a fiber map f, we show that if the inclusion $i : F \to E$ has a left homotopy inverse, then $G^f_n(E,F)$ is isomorphic to $G^f_n(F,E) \oplus \pi_n(B)$. In particular, by taking f as the identity map on E we have $G_n(E,F)$ is isomorphic to $G_n(F) \oplus \pi_n(B)$.

• Asian Pacific Journal of Cancer Prevention
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• v.14 no.12
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• pp.7551-7554
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• 2013

Tumor-associated microRNAs have been detected in serum or plasma, but whether plasma microRNA-21 (miR-21) could be a potential circulating biomarker for gastric cancer (GC) prognosis in Chinese is still uncertain. Real-time quantitative reverse transcription PCR (qRT-PCR) was employed in this study to compare the relative expression of miR-21 between pre-operative and post-operative paired plasmas from 42 patients with primary GCs. The results showed that the expression levels of miR-21 in the post-operative plasmas were significantly reduced by an average of 18.2 times in all patients when compared to the pre-operative plasmas, and by 22.1 times in the subgroup of patients without family history, while only 1.76 times in the subgroup of patients with a family history. With respect of clinicopathological characteristics, the plasma miR-21 expression was highly associated with differentiation degree and lymph node metastasis rate. The results suggested plasma miR-21 could be a novel potential biomarker for GC prognosis and evaluation of surgery outcomes, especially in patients without a family history.

• Journal of Oriental Neuropsychiatry
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• v.33 no.1
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• pp.49-78
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• 2022

Objectives: This study was conducted to evaluate the efficacy of Korean Medicine Therapy (KMT) for the treatment of Chemotherapy-induced Cognitive Impairment (CICI) through systematic review and meta-analysis of randomized controlled trials (RCTs) as proceeding research to further research the efficacy of KMT for CICI patients. Methods: We conducted a systematic review and meta-analysis according to the Preferred Reporting Items for Systematic reviews and Meta-Analyses guidelines (PRISMA). The RCTs on the efficacy of KMT for treatment of CICI were searched by structured search strategies in MEDLINE, EMBASE, Cochrane library, CAJD, KISS, NDSL, KoreaMed, and OASIS. The searched RCTs were screened by inclusion and exclusion criteria. We evaluated the quality of the method in the included studies using the Jadad score and Cochran ROB tool. The efficacy outcomes were the Visual Analogue Scale (VAS) and the Clinical total Effective Rate (CER) of CICI. They were analyzed using mean difference for continuous variable or Relative Risk (RR) for Dichotomous variable in the random-effect model. The RevMan 5.3 program was used for meta-analysis. Results: We included 19 RCTs, including 653 participants, in the systematic review and meta-analysis. There were favorable results for the KMT group after the intervention compared with the pharmacotherapy group, physiotherapy group, and combined treatment group. KMT group showed improvement using CER and VAS compared with exercises, but their heterogeneities were slightly significant. KMT was more effective compared to the Rehabilitation program in CER and the subgroup analysis results showed that KMT had a significant difference compared to other therapies in VAS, to Medication therapy in CER. Conclusions: KMT presented reasonable evidence on improving the Clinical total Effective Rate and Visual Analogue Scale in CICI patients. However, further evaluation in future research is required.

• Journal of Preventive Medicine and Public Health
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• v.40 no.1
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• pp.23-28
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• 2007

Objectives : Chronic infections with hepatitis B or C and alcoholic cirrhosis are three well-known major risk factors for liver cancer. Diabetes has also been suggested as a potential risk factor. However, the findings of previous studies have been controversial in terms of the causal association. Therefore, the aim of this study was to evaluate the association between serum glucose levels and liver cancer development in a Korean cohort. Methods : Thirty-six liver cancer cases were identified in the Korean Multi-Center Cancer Cohort (KMCC). Baseline information on lifestyle characteristics was obtained via questionnaire. Serum glucose levels were measured at the study's enrollment. Relative risks (RRs) were estimated using a Cox proportional hazard regression model. The adjusting variables included age, gender, smoking history, alcohol consumption, body mass index, and hepatitis B surface antigen (HBsAg) seropositivity. Results : The RRs of serum glucose for liver caner were 1.20 (95% CI = 0.48-2.99) for the category of 100 to 125 mg/dL of serum glucose and 2.77 (95% CI = 1.24-6.18) for the >126 mg/dL serum glucose category (both compared to the <100 mg/dL category). In a subgroup analysis, the RR of serum glucose among those who were both HBsAg seronegative and non-drinkers was 4.46 (95% CI = 1.09-18.28) for those with glucose levels >100 mg/dL. Conclusions : The results of this study suggest that a high level of serum glucose can increase liver cancer risk independently of hepatitis infection and drinking history in Koreans. This study implies that glucose intolerance may be an independent risk factor for liver cancer.

• YAKHAK HOEJI
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• v.56 no.2
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• pp.136-143
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• 2012

Type 2 Diabetes Mellitus (T2DM) is characterized by high blood glucose in the context of insulin resistance and relative insulin deficiency. Diabetes is often initially managed by increasing exercise and dietary modification. As the condition progresses, medications may be needed such as oral sulfonylurea or others. Recently, dipeptidyl peptidase 4 (DPP- 4) Inhibitor is new drug which can control blood glucose by increasing the active levels of incretin hormone in the body. However, researches have been carried out for mostly Caucasian and Japanese, not for Koreans at all. Therefore, this study was to evaluate the efficacy and safety of DPP-4 inhibitor (Sitagliptin, Vildagliptin) in patients with T2DM in Koreans. This study was carried out retrospectively with reviewing of medical records from the 141 patients who received sitagliptin or vildagliptin over 24 week periods from January 2009, to December 2009. Information including demographics, concomitant medication, disease duration, and exercise was evaluated. $HbA_{1c}$, random blood glucose, post prandial 2 hour glucose, blood pressure, AST, ALT, serum creatinine, total cholesterol, triglyceride levels were also collected at baseline and endpoint (at 24 weeks). In each post-treatment group, $HbA_{1c}$, random blood glucose and post prandial 2 hour glucose levels were decreased significantly from baseline in the sitagliptin group (-0.82%, -28.76 mg/dl, -46.65 mg/dl) and vildagliptin group(-1.22%, -27.96 mg/dl, -67.2 mg/dl). Greater $HbA_{1c}$ mean reductions from baseline to 24 weeks were seen in patients with higher baseline values (>7.0%), with shorter disease durations (${\leq}1$ year) compared with those with lower baseline values (<7.0%), with longer disease durations (>1 year) in both sitagliptin and vildagliptin groups. The incidences of hypoglycemia, headache and upper respiratory infection were 0%, 8.7%, 5.8% in sitagliptin group and 2.8%, 8.3%, 6.9% in vildagliptin group. In conclusion, our results showed DPP-4 inhibitor provided similar efficacy compared with sulfonylurea after 24 weeks of treatment and were safer than sulfonylurea in hypoglycemia for Korean T2DM. Also vildagliptin was associated with significant improvement in $HbA_{1c}$ reduction in Korean patient with subgroup (body mass index<25 $kg/m^2$, metformin dose${\geq}$1000 mg, p<0.05) compared to sitagliptin. Therefore, even though DPP-4 inhibitor use for Korean needs to be studied more consistently in the future, DPP-4 inhibitor is a safe and effective drug for Korean T2DM based on our result.