Let G be a simple connected graph with vertex set V(G) and edge set E(G).The augmented Zagreb index of a graph G is defined asAZI(G) =∑uv∈E(G)(d;d;/(d;+ d;-2));,and the atom-bond connectivity index(ABC in...Let G be a simple connected graph with vertex set V(G) and edge set E(G).The augmented Zagreb index of a graph G is defined asAZI(G) =∑uv∈E(G)(d;d;/(d;+ d;-2));,and the atom-bond connectivity index(ABC index for short) of a graph G is defined asABC(G) =∑uv∈E(G)((d;+ d;-2)/d;d;),where d;and d;denote the degree of vertices u and v in G,respectively.In this paper,trees with given diameter minimizing the augmented Zagreb index and maximizing the ABC index are determined,respectively.展开更多
The augmented Zagreb index displays a good correlation with the formation heat of octanes and heptanes. The augmented Zagreb index of catacondensed hexagonal systems and molecular trees was discussed. By using the met...The augmented Zagreb index displays a good correlation with the formation heat of octanes and heptanes. The augmented Zagreb index of catacondensed hexagonal systems and molecular trees was discussed. By using the methods of analysis of graph structure and mathematical induction,the catacondensed hexagonal systems with extreme augmented Zagreb index were characterized.The lower bound for augmented Zagreb index of molecular trees with fixed numbers of pendent vertices was given,and the extremal trees were characterized. From these results,we can compare the formation heat of catacondensed hexagonal systems and molecular trees.展开更多
Objective To determine whether reduction in central pressure augmentation and central systolic blood pressure by nitroglycerine (NTG) results from effects on pre-load or is due to arterial dilation. Methods We compare...Objective To determine whether reduction in central pressure augmentation and central systolic blood pressure by nitroglycerine (NTG) results from effects on pre-load or is due to arterial dilation. Methods We compared effects of NTG with those of lower body negative pressure (LBNP). Hemodynamic measurements were made at rest,during LBNP (10,20 and 30 mmHg,each for 15 min) and after NTG (10,30 and 100 μg/min,each dose for 15 min) in ten healthy volunteers. Cardiac pre-load,stroke volume and cardiac output were assessed by echocardiography. Central pressure augmentation and central systolic pressure were obtained by radial tonometry using a transfer function. Results LBNP (20 mmHg) and NTG (30 μg/min) reduced pre-load (as measured by the peak velocity of the S wave in the superior vena cava) to a similar degree [by (26.8±3.8)% and (23.9±3.4)%,respectively]. Compared to LBNP,NTG reduced systemic vascular resistance [by (32.9±7.5)%,P<0.01],decreased peripheral and central pressure augmentation [by (20.8±3.4)% units and (12.9±2.9)% units,respectively,each P<0.01]. Conclusion These results suggest that a reduction in pre-load does not explain reduction in pressure augmentation and central systolic blood pressure by NTG and that these effects are mediated through arterial dilation.展开更多
Objective To investigate the correlation between augmentation index (AI) of the radial artery and diastolic heart function in patients with hypertension. Methods Echocardiographs were obtained for 305 patients with hy...Objective To investigate the correlation between augmentation index (AI) of the radial artery and diastolic heart function in patients with hypertension. Methods Echocardiographs were obtained for 305 patients with hypertension. AI, pulse wave velocity (PWV) of peripheral arteries and serum pro-brain natriuretic peptide (proBNP) levels were determined. Correlations and receiver operating characteristic (ROC) curves were drawn between AI values and impaired diastolic function. Results AI levels were significantly increased in patients with impaired diastolic function diagnosed by ultrasound. Assessment of diastolic heart function based on proBNP levels revealed that AI and aortic pulse wave velocity were significantly elevated in patients with impaired diastolic function. The operating curve indicated that AI may be a more accurate and efficient index for the evaluation of impaired diastolic function compared to PWV. Correlation analysis also showed that proBNP levels had altered in parallel with changes in AI and PWV. After adjusting for various factors including age, gender, blood pressure and blood lipid, a positive correlation was observed between proBNP and AI with a correlation coefficient of 0.3697 (P=0.003). However, no correlation between proBNP and aortic PWV was seen after adjustment. Conclusions Changes in radial AI levels may reflect parallel changes in diastolic cardiac function in patients with hypertension, suggesting that AI may be utilized as a non-invasive clinical indicator of diastolic heart function.展开更多
Purpose: Aortic augmentation index (AIx) and cardiovagal tone (CVT) are indicators of cardiovascular health. Associations between these variables provide information about their roles in cardiovascular disease. Howeve...Purpose: Aortic augmentation index (AIx) and cardiovagal tone (CVT) are indicators of cardiovascular health. Associations between these variables provide information about their roles in cardiovascular disease. However, evaluating these associations from a gender perspective and gaining an understanding of the relationship between cardiorespiratory fitness and AIx based on gender can provide additional information. Therefore, we examined the relationships between CVT, measured as the log transformed high-frequency power of R-R intervals from electrocardiogram measurements (lnHFR-R);cardiorespiratory fitness, measured as maximum oxygen consumption (VO2max);and AIx at a heart rate of 75 beats·min-1(AIx@75). We hypothesized that the relationships between CVT, cardiorespiratory fitness, and AIx@75 would differ based on gender. Methods: We examined the associations between lnHFR-R, VO2max, and AIx@75 in 41 women and 39 men. Power spectral density analysis of heart rate variability determined lnHFR-R, radial tonometry determined AIx@75 and the Bruce Treadmill Protocol determined VO2max. Results: In men, lnHFR-R positively correlated with and significantly predicted AIx@75 (P = 0.005) but not in women (P = 0.49). For every unit increase in lnHFR-R, there was a 4.6 unit increase in AIx@75 in men versus a 1.0 unit increase in women. There was a significant inverse relationship between VO2max and AIx@75, with VO2max being a significant predictor of AIx@75 in men (P = 0.01). For every unit increase in VO2max, there was a 0.60 unit decrease in AIx@75 in men versus a 0.2 unit decrease in women. Conclusions: The associations between CVT and AIx@75 and between cardiorespiratory fitness and AIx@75 differ by gender. CVT and cardiorespiratory fitness are significant predictors of AIx@75 in men but not in women.展开更多
BACKGROUND Arterial stiffness,as assessed by aortic ultrasound and pulse wave velocity,is associated with incident hypertension.However,there is still no consensus on whether the augmentation index(AI)affects new onse...BACKGROUND Arterial stiffness,as assessed by aortic ultrasound and pulse wave velocity,is associated with incident hypertension.However,there is still no consensus on whether the augmentation index(AI)affects new onset of hypertension.This study investigated the relationship of radial AI(r AI)and incident hypertension in a Chinese community-based population without hypertension at baseline.METHOD A total of 1,615 Chinese non-hypertensive participants from an atherosclerosis cohort in Beijing,China were included in our analysis.Baseline r AI normalized to heart rate of 75 beats/min(r AIp75)was obtained using HEM-9000 AI.New-onset hypertension was defined as blood pressure≥140/90 mm Hg or self-reported hypertension or taking anti-hypertensive medications at the follow up survey.Multivariate regression models were used to evaluate the impact of r AIp75 on the risk of new-onset hypertension.RESULTS After a mean 2.35-year follow-up,213(13.19%)participants developed incident hypertension.No significant relation between r AIp75 and incident hypertension was observed in the whole population after adjustment for possible confounders(adjusted odds ratio(OR)and 95%confidence interval(CI):1.09[0.95-1.27];P=0.2260).However,r AIp75 was significantly associated with incident hypertension in women,but not in men(adjusted OR and 95%CI:1.29[1.06-1.56],P=0.0113 for women;0.91[0.72-1.15],P=0.4244 for men;P for interaction=0.0133).CONCLUSIONS Sex modified the effect of the r AI on incident hypertension in a Chinese,community-based,non-hypertensive population.Screening of the r AI could be considered in women with a high risk of hypertension for the purpose of primary intervention.展开更多
A stock exchange is an exchange where stock brokers and traders can buy and sell shares of stock, bonds, and other securities. All listings are included in the Nigerian Stock Exchange All Shares index. In terms of mar...A stock exchange is an exchange where stock brokers and traders can buy and sell shares of stock, bonds, and other securities. All listings are included in the Nigerian Stock Exchange All Shares index. In terms of market capitalization, the Nigerian Stock Exchange is the third largest stock exchange in Africa. Objectives: The paper assesses the impact of Nigerian Stock Market (all share index, market capitalization, and number of equities) on Gross domestic product (Economic Growth). Materials and Methods: Regression analysis and ordinary least square technique were employed. Result and Discussion: The series was stationary at 1%, 5%, and 10% α level;the residuals were normally distributed but not serially correlated at 5% α level. All Share Index, Market Capitalization and Total Number of listed Equities have a joint and individual significant effect on Economic Growth (Gross Domestic Product) with Total Number of listed Equities having a negative (opposite) linear relationship with the Gross Domestic Product. The Durbin-Watson statistics (R2 = 0.9910 = 1.3686) suggest that the model is not spurious and it is devoid of positive and negative autocorrelation (DW = 1.3686 > dl = 1.07 and DW = 1.5033 ?-?du = 2.17). Therefore, it can produce meaningful result when used for forecasting a positive relationship between gross domestic product, all share index and market capitalization with a 99.1% R-square value. Significant Positive connection between all share index, market capitalization, the number of equities and gross domestic product suggests that government policies and bills aimed towards rapid development of the capital market should be initiated.展开更多
Background: Analysis of arterial stiffness (AS) is a good marker of early arterial disease and an important determinant of cardiovascular risk, independent of other traditional cardiovascular risk factors. Carotid-fem...Background: Analysis of arterial stiffness (AS) is a good marker of early arterial disease and an important determinant of cardiovascular risk, independent of other traditional cardiovascular risk factors. Carotid-femoral pulse wave velocity (CfPWV) is the gold standard to evaluate arterial stiffness. There is evidence that patients with rheumatoid arthritis (RA) have a higher arterial stiffness than their age-matched healthy counterparts and thus have higher cardiovascular (CV) risk. However, data on arterial stiffness in African rheumatoid arthritis patients is scarce. Objectives: To determine the patterns of arterial stiffness in rheumatoid arthritis patients in a sub-Saharan African setting, using CfPWV and Augmentation index (AIx). Method: We conducted a case-control study, at the Douala general hospital over four months (February to May 2018) on 63 subjects among which 31 RA patients matched for age and sex with 32 healthy subjects. AIx and CfPWV were determined non-invasively by radial pulse wave analysis and carotid femoral wave analysis respectively, using a sphygmocor Atcor device (SphygmoCor, PWV Medical, Sydney, Australia). Results: The mean age of RA patients was 47 ± 14 years with most of them being females (n = 26, 83.9%). CfPWV was significantly higher in RA patients compared to the control group (mean: 8.85 ± 2.1 vs 7.45 ± 1.38;p ≤ 0.01) as well as was AIx (Median: 33 [26 - 43] vs 26 [20 - 31];p = 0.01). RA (OR: 6.105;95% CI: 1.52 - 24.54;p 1.34;95% CI: 1.14 - 5.17;p = 0.05), elevated CRP levels (OR: 4.01;95% CI: 1.16 - 13.68;p = 0.03) and Hypertension (OR: 5.75;95% CI: 1.24 -11.60;p Conclusion: Arterial stiffness, a well-recognized marker of cardiovascular risk is increased among patients suffering from rheumatoid arthritis when compared to a healthy control group.展开更多
目的反射波增强指数(AI)是反映动脉反射波的一个指标。在老年人中,AI 是否是反映动脉硬化的一个较好指标,目前存在争议。为了更好地理解在老年人中运用 AI 的意义,我们在~老年人群中研究 AI 的影响因素。方法在上海青浦区赵巷镇选择70...目的反射波增强指数(AI)是反映动脉反射波的一个指标。在老年人中,AI 是否是反映动脉硬化的一个较好指标,目前存在争议。为了更好地理解在老年人中运用 AI 的意义,我们在~老年人群中研究 AI 的影响因素。方法在上海青浦区赵巷镇选择70岁以上老年人,用 Omron 公司 HEM9000 AI 脉波检测仪进行左侧桡动脉脉搏波分析,心率取校正到75次/min 的 AI 进行统计分析。结果1286例受检者中包括761名(59%)女性,815例(63%)高血压病患者。平均年龄为76.3岁。女性的 AI 显著高于男性(90.3%vs 85.8%,P<0.01)。简单相关分析显示:不论男女,AI(P<0.05)都随着年龄的增加而升高,随身高和血糖水平的增加而降低。男性饮酒者的 AI 显著高于不饮酒者(87.3%vs 85.2%,P=0.03)。多元逐步回归分析显示:身高、平均动脉压和空腹血糖是女性 AI 的独立影响因素。在男性,AI 还受年龄和饮酒的影响。结论在70岁以上老年人中,年龄、性别、身高、平均动脉压和血糖水平是 AI 的独立影响因素。展开更多
文摘Let G be a simple connected graph with vertex set V(G) and edge set E(G).The augmented Zagreb index of a graph G is defined asAZI(G) =∑uv∈E(G)(d;d;/(d;+ d;-2));,and the atom-bond connectivity index(ABC index for short) of a graph G is defined asABC(G) =∑uv∈E(G)((d;+ d;-2)/d;d;),where d;and d;denote the degree of vertices u and v in G,respectively.In this paper,trees with given diameter minimizing the augmented Zagreb index and maximizing the ABC index are determined,respectively.
基金National Natural Science Foundation of China(No.11071227)Shanxi Scholarship Council of China(No.2012-070)Foundation of North University of China(No.2013-12-1)
文摘The augmented Zagreb index displays a good correlation with the formation heat of octanes and heptanes. The augmented Zagreb index of catacondensed hexagonal systems and molecular trees was discussed. By using the methods of analysis of graph structure and mathematical induction,the catacondensed hexagonal systems with extreme augmented Zagreb index were characterized.The lower bound for augmented Zagreb index of molecular trees with fixed numbers of pendent vertices was given,and the extremal trees were characterized. From these results,we can compare the formation heat of catacondensed hexagonal systems and molecular trees.
文摘Objective To determine whether reduction in central pressure augmentation and central systolic blood pressure by nitroglycerine (NTG) results from effects on pre-load or is due to arterial dilation. Methods We compared effects of NTG with those of lower body negative pressure (LBNP). Hemodynamic measurements were made at rest,during LBNP (10,20 and 30 mmHg,each for 15 min) and after NTG (10,30 and 100 μg/min,each dose for 15 min) in ten healthy volunteers. Cardiac pre-load,stroke volume and cardiac output were assessed by echocardiography. Central pressure augmentation and central systolic pressure were obtained by radial tonometry using a transfer function. Results LBNP (20 mmHg) and NTG (30 μg/min) reduced pre-load (as measured by the peak velocity of the S wave in the superior vena cava) to a similar degree [by (26.8±3.8)% and (23.9±3.4)%,respectively]. Compared to LBNP,NTG reduced systemic vascular resistance [by (32.9±7.5)%,P<0.01],decreased peripheral and central pressure augmentation [by (20.8±3.4)% units and (12.9±2.9)% units,respectively,each P<0.01]. Conclusion These results suggest that a reduction in pre-load does not explain reduction in pressure augmentation and central systolic blood pressure by NTG and that these effects are mediated through arterial dilation.
文摘Objective To investigate the correlation between augmentation index (AI) of the radial artery and diastolic heart function in patients with hypertension. Methods Echocardiographs were obtained for 305 patients with hypertension. AI, pulse wave velocity (PWV) of peripheral arteries and serum pro-brain natriuretic peptide (proBNP) levels were determined. Correlations and receiver operating characteristic (ROC) curves were drawn between AI values and impaired diastolic function. Results AI levels were significantly increased in patients with impaired diastolic function diagnosed by ultrasound. Assessment of diastolic heart function based on proBNP levels revealed that AI and aortic pulse wave velocity were significantly elevated in patients with impaired diastolic function. The operating curve indicated that AI may be a more accurate and efficient index for the evaluation of impaired diastolic function compared to PWV. Correlation analysis also showed that proBNP levels had altered in parallel with changes in AI and PWV. After adjusting for various factors including age, gender, blood pressure and blood lipid, a positive correlation was observed between proBNP and AI with a correlation coefficient of 0.3697 (P=0.003). However, no correlation between proBNP and aortic PWV was seen after adjustment. Conclusions Changes in radial AI levels may reflect parallel changes in diastolic cardiac function in patients with hypertension, suggesting that AI may be utilized as a non-invasive clinical indicator of diastolic heart function.
文摘Purpose: Aortic augmentation index (AIx) and cardiovagal tone (CVT) are indicators of cardiovascular health. Associations between these variables provide information about their roles in cardiovascular disease. However, evaluating these associations from a gender perspective and gaining an understanding of the relationship between cardiorespiratory fitness and AIx based on gender can provide additional information. Therefore, we examined the relationships between CVT, measured as the log transformed high-frequency power of R-R intervals from electrocardiogram measurements (lnHFR-R);cardiorespiratory fitness, measured as maximum oxygen consumption (VO2max);and AIx at a heart rate of 75 beats·min-1(AIx@75). We hypothesized that the relationships between CVT, cardiorespiratory fitness, and AIx@75 would differ based on gender. Methods: We examined the associations between lnHFR-R, VO2max, and AIx@75 in 41 women and 39 men. Power spectral density analysis of heart rate variability determined lnHFR-R, radial tonometry determined AIx@75 and the Bruce Treadmill Protocol determined VO2max. Results: In men, lnHFR-R positively correlated with and significantly predicted AIx@75 (P = 0.005) but not in women (P = 0.49). For every unit increase in lnHFR-R, there was a 4.6 unit increase in AIx@75 in men versus a 1.0 unit increase in women. There was a significant inverse relationship between VO2max and AIx@75, with VO2max being a significant predictor of AIx@75 in men (P = 0.01). For every unit increase in VO2max, there was a 0.60 unit decrease in AIx@75 in men versus a 0.2 unit decrease in women. Conclusions: The associations between CVT and AIx@75 and between cardiorespiratory fitness and AIx@75 differ by gender. CVT and cardiorespiratory fitness are significant predictors of AIx@75 in men but not in women.
基金supported by the University of Michigan-Peking University Health Science Centre(UMHS-PUHSC)Joint Institute for Translational and Clinical Research and the Fundamental Research Funds for the Central Universities(grant numbers:BMU20110177 and BMU20160530)the National Key Research and Development Program of China(grant number:2017YFC1307704)+2 种基金the Scientific Research Seed Fund of Peking University First Hospital(grant numbers:2018SF003 and 2018SF071)Projects of the National Natural Science Foundation of China(grant number:81703288)the Key Laboratory of Molecular Cardiovascular Sciences(Peking University),Ministry of Education and NHC Key Laboratory of Cardiovascular Molecular Biology and Regulatory Peptides。
文摘BACKGROUND Arterial stiffness,as assessed by aortic ultrasound and pulse wave velocity,is associated with incident hypertension.However,there is still no consensus on whether the augmentation index(AI)affects new onset of hypertension.This study investigated the relationship of radial AI(r AI)and incident hypertension in a Chinese community-based population without hypertension at baseline.METHOD A total of 1,615 Chinese non-hypertensive participants from an atherosclerosis cohort in Beijing,China were included in our analysis.Baseline r AI normalized to heart rate of 75 beats/min(r AIp75)was obtained using HEM-9000 AI.New-onset hypertension was defined as blood pressure≥140/90 mm Hg or self-reported hypertension or taking anti-hypertensive medications at the follow up survey.Multivariate regression models were used to evaluate the impact of r AIp75 on the risk of new-onset hypertension.RESULTS After a mean 2.35-year follow-up,213(13.19%)participants developed incident hypertension.No significant relation between r AIp75 and incident hypertension was observed in the whole population after adjustment for possible confounders(adjusted odds ratio(OR)and 95%confidence interval(CI):1.09[0.95-1.27];P=0.2260).However,r AIp75 was significantly associated with incident hypertension in women,but not in men(adjusted OR and 95%CI:1.29[1.06-1.56],P=0.0113 for women;0.91[0.72-1.15],P=0.4244 for men;P for interaction=0.0133).CONCLUSIONS Sex modified the effect of the r AI on incident hypertension in a Chinese,community-based,non-hypertensive population.Screening of the r AI could be considered in women with a high risk of hypertension for the purpose of primary intervention.
文摘A stock exchange is an exchange where stock brokers and traders can buy and sell shares of stock, bonds, and other securities. All listings are included in the Nigerian Stock Exchange All Shares index. In terms of market capitalization, the Nigerian Stock Exchange is the third largest stock exchange in Africa. Objectives: The paper assesses the impact of Nigerian Stock Market (all share index, market capitalization, and number of equities) on Gross domestic product (Economic Growth). Materials and Methods: Regression analysis and ordinary least square technique were employed. Result and Discussion: The series was stationary at 1%, 5%, and 10% α level;the residuals were normally distributed but not serially correlated at 5% α level. All Share Index, Market Capitalization and Total Number of listed Equities have a joint and individual significant effect on Economic Growth (Gross Domestic Product) with Total Number of listed Equities having a negative (opposite) linear relationship with the Gross Domestic Product. The Durbin-Watson statistics (R2 = 0.9910 = 1.3686) suggest that the model is not spurious and it is devoid of positive and negative autocorrelation (DW = 1.3686 > dl = 1.07 and DW = 1.5033 ?-?du = 2.17). Therefore, it can produce meaningful result when used for forecasting a positive relationship between gross domestic product, all share index and market capitalization with a 99.1% R-square value. Significant Positive connection between all share index, market capitalization, the number of equities and gross domestic product suggests that government policies and bills aimed towards rapid development of the capital market should be initiated.
文摘Background: Analysis of arterial stiffness (AS) is a good marker of early arterial disease and an important determinant of cardiovascular risk, independent of other traditional cardiovascular risk factors. Carotid-femoral pulse wave velocity (CfPWV) is the gold standard to evaluate arterial stiffness. There is evidence that patients with rheumatoid arthritis (RA) have a higher arterial stiffness than their age-matched healthy counterparts and thus have higher cardiovascular (CV) risk. However, data on arterial stiffness in African rheumatoid arthritis patients is scarce. Objectives: To determine the patterns of arterial stiffness in rheumatoid arthritis patients in a sub-Saharan African setting, using CfPWV and Augmentation index (AIx). Method: We conducted a case-control study, at the Douala general hospital over four months (February to May 2018) on 63 subjects among which 31 RA patients matched for age and sex with 32 healthy subjects. AIx and CfPWV were determined non-invasively by radial pulse wave analysis and carotid femoral wave analysis respectively, using a sphygmocor Atcor device (SphygmoCor, PWV Medical, Sydney, Australia). Results: The mean age of RA patients was 47 ± 14 years with most of them being females (n = 26, 83.9%). CfPWV was significantly higher in RA patients compared to the control group (mean: 8.85 ± 2.1 vs 7.45 ± 1.38;p ≤ 0.01) as well as was AIx (Median: 33 [26 - 43] vs 26 [20 - 31];p = 0.01). RA (OR: 6.105;95% CI: 1.52 - 24.54;p 1.34;95% CI: 1.14 - 5.17;p = 0.05), elevated CRP levels (OR: 4.01;95% CI: 1.16 - 13.68;p = 0.03) and Hypertension (OR: 5.75;95% CI: 1.24 -11.60;p Conclusion: Arterial stiffness, a well-recognized marker of cardiovascular risk is increased among patients suffering from rheumatoid arthritis when compared to a healthy control group.
文摘目的反射波增强指数(AI)是反映动脉反射波的一个指标。在老年人中,AI 是否是反映动脉硬化的一个较好指标,目前存在争议。为了更好地理解在老年人中运用 AI 的意义,我们在~老年人群中研究 AI 的影响因素。方法在上海青浦区赵巷镇选择70岁以上老年人,用 Omron 公司 HEM9000 AI 脉波检测仪进行左侧桡动脉脉搏波分析,心率取校正到75次/min 的 AI 进行统计分析。结果1286例受检者中包括761名(59%)女性,815例(63%)高血压病患者。平均年龄为76.3岁。女性的 AI 显著高于男性(90.3%vs 85.8%,P<0.01)。简单相关分析显示:不论男女,AI(P<0.05)都随着年龄的增加而升高,随身高和血糖水平的增加而降低。男性饮酒者的 AI 显著高于不饮酒者(87.3%vs 85.2%,P=0.03)。多元逐步回归分析显示:身高、平均动脉压和空腹血糖是女性 AI 的独立影响因素。在男性,AI 还受年龄和饮酒的影响。结论在70岁以上老年人中,年龄、性别、身高、平均动脉压和血糖水平是 AI 的独立影响因素。