A{(3,4),4}-fullerene graph S is a 4-regular map on the sphere whose faces are of length 3 or 4.It follows from Euler s formula that the number of triangular faces is eight.A set H of disjoint quadrangular faces of S i...A{(3,4),4}-fullerene graph S is a 4-regular map on the sphere whose faces are of length 3 or 4.It follows from Euler s formula that the number of triangular faces is eight.A set H of disjoint quadrangular faces of S is called resonant pattern if S has a perfect matching M such that every quadrangular face in H is M-alternating.Let k be a positive integer,S is k-resonant if any i≤k disjoint quadrangular faces of S form a resonant pattern.Moreover,if graph S is k-resonant for any integer k,then S is called maximally resonant.In this paper,we show that the maximally resonant{(3,4),4}-fullerene graphs are S_6,S_8,S_(10)^(2),S_(12)^(2),S_(12)^(4),S_(12)^(5),S_(14)^(3),S_(14)^(5),S_(16)^(3),S_(18)^(5),S_(24)as shown in Fig.1.As a corollary,it is shown that if a{(3,4),4}-fullerene graph is 4-resonant,then it is also maximally resonant.展开更多
BACKGROUND Cognitive dysfunction is the main manifestation of central neuropathy.Although cognitive impairments tend to be overlooked in patients with diabetes mellitus(DM),there is a growing body of evidence linking ...BACKGROUND Cognitive dysfunction is the main manifestation of central neuropathy.Although cognitive impairments tend to be overlooked in patients with diabetes mellitus(DM),there is a growing body of evidence linking DM to cognitive dysfunction.Hyperglycemia is closely related to neurological abnormalities,while often disregarded in clinical practice.Changes in cerebral neurotransmitter levels are associated with a variety of neurological abnormalities and may be closely related to blood glucose control in patients with type 2 DM(T2DM).AIM To evaluate the concentrations of cerebral neurotransmitters in T2DM patients exhibiting different hemoglobin A1c(HbA1c)levels.METHODS A total of 130 T2DM patients were enrolled at the Department of Endocrinology of Shanghai East Hospital.The participants were divided into four groups according to their HbA1c levels using the interquartile method,namely Q1(<7.875%),Q2(7.875%-9.050%),Q3(9.050%-11.200%)and Q4(≥11.200%).Clinical data were collected and measured,including age,height,weight,neck/waist/hip circumferences,blood pressure,comorbidities,duration of DM,and biochemical indicators.Meanwhile,neurotransmitters in the left hippocampus and left brainstem area were detected by proton magnetic resonance spectroscopy.RESULTS The HbA1c level was significantly associated with urinary microalbumin(mALB),triglyceride,low-density lipoprotein cholesterol(LDL-C),homeostasis model assessment of insulin resistance(HOMA-IR),and beta cell function(HOMA-β),N-acetylaspartate/creatine(NAA/Cr),and NAA/choline(NAA/Cho).Spearman correlation analysis showed that mALB,LDL-C,HOMA-IR and NAA/Cr in the left brainstem area were positively correlated with the level of HbA1c(P<0.05),whereas HOMA-βwas negatively correlated with the HbA1c level(P<0.05).Ordered multiple logistic regression analysis showed that NAA/Cho[Odds ratio(OR):1.608,95%confidence interval(95%CI):1.004-2.578,P<0.05],LDL-C(OR:1.627,95%CI:1.119-2.370,P<0.05),and HOMA-IR(OR:1.107,95%CI:1.031-1.188,P<0.01)were independent predictors of poor glycemic control.CONCLUSION The cerebral neurotransmitter concentrations in the left brainstem area in patients with T2DM are closely related to glycemic control,which may be the basis for the changes in cognitive function in diabetic patients.展开更多
目的:探究血清甘油三酯-葡萄糖(TyG)指数、摄食抑制因子-1(nesfatin-1)、视黄醇结合蛋白4(RBP4)联合预测糖尿病视网膜病变(DR)的价值,为DR早期预测提供支持。方法:回顾性分析。收集2022-02/2023-12我院接诊的2型糖尿病(T2DM)患者164例...目的:探究血清甘油三酯-葡萄糖(TyG)指数、摄食抑制因子-1(nesfatin-1)、视黄醇结合蛋白4(RBP4)联合预测糖尿病视网膜病变(DR)的价值,为DR早期预测提供支持。方法:回顾性分析。收集2022-02/2023-12我院接诊的2型糖尿病(T2DM)患者164例的临床资料,按照眼底检查结果分为DR组43例(其中增殖性DR 19例,非增殖性DR 24例),不合并DR的T2DM组121例。入院后记录患者基本资料,检查血清TyG指数、nesfatin-1、RBP4水平。结果:DR组病程长于T2DM组,空腹血糖、糖化血红蛋白、甘油三酯、总胆固醇、低密度脂蛋白及TyG指数、RBP4水平高于T2DM组,高密度脂蛋白、nesfatin-1水平低于T2DM组(均P<0.001)。多因素Logistic回归分析可知,T2DM病程(OR=1.338,95%CI:1.059-1.690)、糖化血红蛋白(OR=5.065,95%CI:1.659-15.470)、低密度脂蛋白(OR=12.715,95%CI:2.385-67.790)、TyG指数(OR=23.057,95%CI:2.936-181.073)、RBP4(OR=1.319,95%CI:1.028-1.692)是T2DM患者发生DR的危险因素,nesfatin-1(OR=0.007,95%CI:0.003-0.016)为保护因素。绘制ROC曲线显示,TyG指数、nesfatin-1、RBP4均对T2DM患者并发DR具有一定预测价值,曲线下面积(areas under curve,AUC)分别为0.804、0.878、0.738,各指标联合预测时AUC为0.946,预测敏感度为83.72%、特异度为92.56%。增殖性DR患者TyG指数、RBP4水平高于非增殖性DR患者,nesfatin-1水平低于非增殖性DR患者(均P<0.05)。Spearman相关性分析显示,TyG指数、RBP4水平与DR病情程度呈正相关,nesfatin-1水平与DR病情程度呈负相关(r_(s)=0.557、0.392、-0.359,均P<0.05)。Pearson相关分析显示,T2DM并发DR患者TyG指数与nesfatin-1水平呈负相关,与RBP4水平呈正相关,nesfatin-1与RBP4水平呈负相关(r=-0.486、0.538、-0.592,均P<0.05)。结论:血清TyG指数、nesfatin-1、RBP4水平与DR发病风险及病情程度有关,可作为DR早期预测的标志物,且联合预测效能更好。展开更多
基金Supported by NSFC(Grant Nos.11801148 and 11626089)the Foundation for the Doctor of Henan Polytechnic University(Grant No.B2014-060)。
文摘A{(3,4),4}-fullerene graph S is a 4-regular map on the sphere whose faces are of length 3 or 4.It follows from Euler s formula that the number of triangular faces is eight.A set H of disjoint quadrangular faces of S is called resonant pattern if S has a perfect matching M such that every quadrangular face in H is M-alternating.Let k be a positive integer,S is k-resonant if any i≤k disjoint quadrangular faces of S form a resonant pattern.Moreover,if graph S is k-resonant for any integer k,then S is called maximally resonant.In this paper,we show that the maximally resonant{(3,4),4}-fullerene graphs are S_6,S_8,S_(10)^(2),S_(12)^(2),S_(12)^(4),S_(12)^(5),S_(14)^(3),S_(14)^(5),S_(16)^(3),S_(18)^(5),S_(24)as shown in Fig.1.As a corollary,it is shown that if a{(3,4),4}-fullerene graph is 4-resonant,then it is also maximally resonant.
基金Supported by the Academic Leaders Training Program of Pudong Health Bureau of Shanghai,No.PWRd2023-03Clinical Research Fund of Shanghai Municipal Commission of Health,No.202040136+1 种基金National Natural Science Foundation of China,No.82070842Jiangxi Health Commission Science and Technology Plan Project,No.202212838 and No.202212852.
文摘BACKGROUND Cognitive dysfunction is the main manifestation of central neuropathy.Although cognitive impairments tend to be overlooked in patients with diabetes mellitus(DM),there is a growing body of evidence linking DM to cognitive dysfunction.Hyperglycemia is closely related to neurological abnormalities,while often disregarded in clinical practice.Changes in cerebral neurotransmitter levels are associated with a variety of neurological abnormalities and may be closely related to blood glucose control in patients with type 2 DM(T2DM).AIM To evaluate the concentrations of cerebral neurotransmitters in T2DM patients exhibiting different hemoglobin A1c(HbA1c)levels.METHODS A total of 130 T2DM patients were enrolled at the Department of Endocrinology of Shanghai East Hospital.The participants were divided into four groups according to their HbA1c levels using the interquartile method,namely Q1(<7.875%),Q2(7.875%-9.050%),Q3(9.050%-11.200%)and Q4(≥11.200%).Clinical data were collected and measured,including age,height,weight,neck/waist/hip circumferences,blood pressure,comorbidities,duration of DM,and biochemical indicators.Meanwhile,neurotransmitters in the left hippocampus and left brainstem area were detected by proton magnetic resonance spectroscopy.RESULTS The HbA1c level was significantly associated with urinary microalbumin(mALB),triglyceride,low-density lipoprotein cholesterol(LDL-C),homeostasis model assessment of insulin resistance(HOMA-IR),and beta cell function(HOMA-β),N-acetylaspartate/creatine(NAA/Cr),and NAA/choline(NAA/Cho).Spearman correlation analysis showed that mALB,LDL-C,HOMA-IR and NAA/Cr in the left brainstem area were positively correlated with the level of HbA1c(P<0.05),whereas HOMA-βwas negatively correlated with the HbA1c level(P<0.05).Ordered multiple logistic regression analysis showed that NAA/Cho[Odds ratio(OR):1.608,95%confidence interval(95%CI):1.004-2.578,P<0.05],LDL-C(OR:1.627,95%CI:1.119-2.370,P<0.05),and HOMA-IR(OR:1.107,95%CI:1.031-1.188,P<0.01)were independent predictors of poor glycemic control.CONCLUSION The cerebral neurotransmitter concentrations in the left brainstem area in patients with T2DM are closely related to glycemic control,which may be the basis for the changes in cognitive function in diabetic patients.
文摘目的:探究血清甘油三酯-葡萄糖(TyG)指数、摄食抑制因子-1(nesfatin-1)、视黄醇结合蛋白4(RBP4)联合预测糖尿病视网膜病变(DR)的价值,为DR早期预测提供支持。方法:回顾性分析。收集2022-02/2023-12我院接诊的2型糖尿病(T2DM)患者164例的临床资料,按照眼底检查结果分为DR组43例(其中增殖性DR 19例,非增殖性DR 24例),不合并DR的T2DM组121例。入院后记录患者基本资料,检查血清TyG指数、nesfatin-1、RBP4水平。结果:DR组病程长于T2DM组,空腹血糖、糖化血红蛋白、甘油三酯、总胆固醇、低密度脂蛋白及TyG指数、RBP4水平高于T2DM组,高密度脂蛋白、nesfatin-1水平低于T2DM组(均P<0.001)。多因素Logistic回归分析可知,T2DM病程(OR=1.338,95%CI:1.059-1.690)、糖化血红蛋白(OR=5.065,95%CI:1.659-15.470)、低密度脂蛋白(OR=12.715,95%CI:2.385-67.790)、TyG指数(OR=23.057,95%CI:2.936-181.073)、RBP4(OR=1.319,95%CI:1.028-1.692)是T2DM患者发生DR的危险因素,nesfatin-1(OR=0.007,95%CI:0.003-0.016)为保护因素。绘制ROC曲线显示,TyG指数、nesfatin-1、RBP4均对T2DM患者并发DR具有一定预测价值,曲线下面积(areas under curve,AUC)分别为0.804、0.878、0.738,各指标联合预测时AUC为0.946,预测敏感度为83.72%、特异度为92.56%。增殖性DR患者TyG指数、RBP4水平高于非增殖性DR患者,nesfatin-1水平低于非增殖性DR患者(均P<0.05)。Spearman相关性分析显示,TyG指数、RBP4水平与DR病情程度呈正相关,nesfatin-1水平与DR病情程度呈负相关(r_(s)=0.557、0.392、-0.359,均P<0.05)。Pearson相关分析显示,T2DM并发DR患者TyG指数与nesfatin-1水平呈负相关,与RBP4水平呈正相关,nesfatin-1与RBP4水平呈负相关(r=-0.486、0.538、-0.592,均P<0.05)。结论:血清TyG指数、nesfatin-1、RBP4水平与DR发病风险及病情程度有关,可作为DR早期预测的标志物,且联合预测效能更好。
