1.The clinical impact of tricuspid regurgitation in patients with a biatrial orthotopic heart transplant.
Kevin M VEEN ; Grigorios PAPAGEORGIOU ; Casper F ZIJDERHAND ; Mostafa M MOKHLES ; Jasper J BRUGTS ; Olivier C MANINTVELD ; Alina A CONSTANTINESCU ; Jos A BEKKERS ; Johanna J M TAKKENBERG ; Ad J J C BOGERS ; Kadir CALISKAN
Frontiers of Medicine 2023;17(3):527-533
		                        		
		                        			
		                        			In this study, we aim to elucidate the clinical impact and long-term course of tricuspid regurgitation (TR), taking into account its dynamic nature, after biatrial orthotopic heart transplant (OHT). All consecutive adult patients undergoing biatrial OHT (1984-2017) with an available follow-up echocardiogram were included. Mixed-models were used to model the evolution of TR. The mixed-model was inserted into a Cox model in order to address the association of the dynamic TR with mortality. In total, 572 patients were included (median age: 50 years, males: 74.9%). Approximately 32% of patients had moderate-to-severe TR immediately after surgery. However, this declined to 11% on 5 years and 9% on 10 years after surgery, adjusted for survival bias. Pre-implant mechanical support was associated with less TR during follow-up, whereas concurrent LV dysfunction was significantly associated with more TR during follow-up. Survival at 1, 5, 10, 20 years was 97% ± 1%, 88% ± 1%, 66% ± 2% and 23% ± 2%, respectively. The presence of moderate-to-severe TR during follow-up was associated with higher mortality (HR: 1.07, 95% CI (1.02-1.12), p = 0.006). The course of TR was positively correlated with the course of creatinine (R = 0.45). TR during follow-up is significantly associated with higher mortality and worse renal function. Nevertheless, probability of TR is the highest immediately after OHT and decreases thereafter. Therefore, it may be reasonable to refrain from surgical intervention for TR during earlier phase after OHT.
		                        		
		                        		
		                        		
		                        			Male
		                        			;
		                        		
		                        			Adult
		                        			;
		                        		
		                        			Humans
		                        			;
		                        		
		                        			Middle Aged
		                        			;
		                        		
		                        			Tricuspid Valve Insufficiency/diagnostic imaging*
		                        			;
		                        		
		                        			Heart Transplantation
		                        			;
		                        		
		                        			Echocardiography
		                        			;
		                        		
		                        			Ventricular Dysfunction, Left
		                        			;
		                        		
		                        			Retrospective Studies
		                        			;
		                        		
		                        			Treatment Outcome
		                        			
		                        		
		                        	
2.Clinical value of TDI combined with 2D-STI on evaluating the microcirculation dysfunction and left ventricular dysfunction in patients with non-obstructive coronary angina.
Ting Ting LIU ; Ming Yan DING ; Dan Dan SUN ; Wei JI ; Hui Hui ZHANG ; Ying LI ; Li Juan GUO ; Fang ZHU
Chinese Journal of Cardiology 2021;49(12):1191-1197
		                        		
		                        			
		                        			Objective: To explore the value of tissue Doppler imaging (TDI) combined with two-dimensional speckle tracking imaging (2D-STI) at rest on evaluating microcirculation dysfunction and left ventricular dysfunction in patients with angina and no obstructive coronary artery disease(ANOCA). Methods: This retrospective study recruited 78 ANOCA patients, who hospitalized in the People's Hospital of Liaoning Province from August 2019 to July 2021. These patients underwent conventional echocardiography examination, including TDI and 2D-STI, to evaluate the left ventricular dysfunction, and adenosine stress echocardiography (SE) to evaluate the coronary flow velocity reserve (CFVR). ANOCA patients were divided into coronary microcirculation dysfunction CMD group (CFVR<2) and control group (CFVR≥2) according to CFVR. Clinical data, routine echocardiographic parameters, TDI parameters including isovolumic contraction time (IVCT), isovolumic relaxation time (IVRT), ejection time (ET), and STI parameters including global longitudinal peak strain (GLS), time to peak (TTP); peak strain dispersion (PSD) were compared between the two groups. Binary logistic regression was used to analyze the risk factors of CMD and the predictive value of each parameter to construct a joint prediction model for the diagnosis of CMD in this patient cohort. Results: The mean age was (55.5±11.2) years, 43 (55%) patients were females in this patient cohort, 38 (49%) patienst were didvided into the CMD group and 40 (51%) into the control group. Age, prevalence of hypertension, diabetes, dyslipidemia, and smokers were significantly higher in the CMD group than in the control group (all P<0.05). Tei index was higher, IVCT and TTP were longer, PSD was higher, ET was shorter, and absolute GLS was lower in the CMD group than in the control group (all P<0.05). The results of logistic regression analysis showed that longer IVCT, higher Tei index, higher time to PSD and lower absolute GLS were the independent risk factors of CMD. The ROC curve revealed that the predicting efficacy on CMD was satisfactiory with the combined predictors: AUC=0.884, sensitivity of 82% and specificity of 80%. Conclusions: TDI combined with 2D-STI is associated with a good diagnostic value on the diagnosis of CMD and left ventricular dysfunction in patients with ANOCA, which provides a feasible non-invasive tool for the diagnosis of CMD and risk stratification of patients with ANOCA.
		                        		
		                        		
		                        		
		                        			Adult
		                        			;
		                        		
		                        			Aged
		                        			;
		                        		
		                        			Angina Pectoris
		                        			;
		                        		
		                        			Blood Flow Velocity
		                        			;
		                        		
		                        			Female
		                        			;
		                        		
		                        			Humans
		                        			;
		                        		
		                        			Microcirculation
		                        			;
		                        		
		                        			Middle Aged
		                        			;
		                        		
		                        			Retrospective Studies
		                        			;
		                        		
		                        			Ventricular Dysfunction, Left/diagnostic imaging*
		                        			
		                        		
		                        	
4.Impact of Ambulatory Blood Pressure on Early Cardiac and Renal Dysfunction in Hypertensive Patients without Clinically Apparent Target Organ Damage.
Darae KIM ; Chi Young SHIM ; Geu Ru HONG ; Sungha PARK ; In Jeong CHO ; Hyuk Jae CHANG ; Jong Won HA ; Namsik CHUNG
Yonsei Medical Journal 2018;59(2):265-272
		                        		
		                        			
		                        			PURPOSE: Impaired left ventricular (LV) global longitudinal strain (GLS) and the presence of microalbuminuria indicate early cardiac and renal dysfunction. We aimed to determine the relationships among 24-h ambulatory blood pressure (BP) variables, LV GLS, and urine albumin creatinine ratio (UACR) in hypertensive patients. MATERIALS AND METHODS: A total of 130 hypertensive patients (mean age 53 years; 59 men) underwent 24-h ambulatory BP monitoring, measurements of peripheral and central BPs, and transthoracic echocardiography. Patients with apparent LV systolic dysfunction (LV ejection fraction < 50%) or chronic kidney disease were not included. LV GLS was calculated using two-dimensional speckle tracking, and UACR was analyzed from spot urine samples. RESULTS: In simple correlation analysis, LV GLS showed the most significant correlation with mean daytime diastolic BP (DBP) (r=0.427, p < 0.001) among the various BP variables analyzed. UACR revealed a significant correlation only with night-time mean systolic BP (SBP) (r=0.253, p=0.019). In multiple regression analysis, daytime mean DBP and night-time mean SBP were independent determinants for LV GLS (β=0.35, p=0.028) and log UACR (β=0.49, p=0.007), respectively, after controlling for confounding factors. Daytime mean DBP showed better diagnostic performance for impaired LV GLS than did peripheral or central DBPs, which were not diagnostic. Night-time mean SBP showed satisfactory diagnostic performance for microalbuminuria. CONCLUSION: There are different associations for daytime and night-time BP with early cardiac and renal dysfunction. Ambulatory BP monitoring provides more relevant BP parameters than do peripheral or central BPs regarding early cardiac and renal dysfunction in hypertensive patients.
		                        		
		                        		
		                        		
		                        			Blood Pressure/physiology
		                        			;
		                        		
		                        			*Blood Pressure Monitoring, Ambulatory
		                        			;
		                        		
		                        			Echocardiography
		                        			;
		                        		
		                        			Female
		                        			;
		                        		
		                        			Heart/*physiopathology
		                        			;
		                        		
		                        			Humans
		                        			;
		                        		
		                        			Hypertension/diagnostic imaging/*physiopathology
		                        			;
		                        		
		                        			Kidney/*physiopathology
		                        			;
		                        		
		                        			Kidney Function Tests
		                        			;
		                        		
		                        			Male
		                        			;
		                        		
		                        			Middle Aged
		                        			;
		                        		
		                        			Regression Analysis
		                        			;
		                        		
		                        			Systole/physiology
		                        			;
		                        		
		                        			Ventricular Dysfunction, Left/physiopathology
		                        			;
		                        		
		                        			Ventricular Function, Left/physiology
		                        			
		                        		
		                        	
5.Overview of implantable cardioverter defibrillator and cardiac resynchronisation therapy in heart failure management.
Singapore medical journal 2016;57(7):354-359
		                        		
		                        			
		                        			Clinical trials have established the benefits of implantable cardioverter defibrillators (ICDs) and cardiac resynchronisation therapy (CRT) in the treatment of heart failure patients. As adjuncts to guideline-directed medical therapy, ICDs confer mortality benefits from sudden cardiac arrest, while CRT reduces mortality, hospitalisation rates and improves functional capacity. This review discusses the use of ICDs and CRT devices in heart failure management, outlining the evidence supporting their use, indications and contraindications.
		                        		
		                        		
		                        		
		                        			Asian Continental Ancestry Group
		                        			;
		                        		
		                        			Cardiac Resynchronization Therapy
		                        			;
		                        		
		                        			Cardiology
		                        			;
		                        		
		                        			Clinical Trials as Topic
		                        			;
		                        		
		                        			Death, Sudden, Cardiac
		                        			;
		                        		
		                        			Defibrillators, Implantable
		                        			;
		                        		
		                        			Heart Failure
		                        			;
		                        		
		                        			diagnostic imaging
		                        			;
		                        		
		                        			epidemiology
		                        			;
		                        		
		                        			therapy
		                        			;
		                        		
		                        			Humans
		                        			;
		                        		
		                        			Practice Guidelines as Topic
		                        			;
		                        		
		                        			Singapore
		                        			;
		                        		
		                        			Ventricular Dysfunction, Left
		                        			;
		                        		
		                        			therapy
		                        			
		                        		
		                        	
6.Echocardiographic evaluation of cardiac dyssynchrony in patients with congestive heart failure.
Chuan QIN ; Li ZHANG ; Zi-Ming ZHANG ; Bin WANG ; Zhou YE ; Yong WANG ; Navin C NANDA ; Ming-Xing XIE
Journal of Huazhong University of Science and Technology (Medical Sciences) 2016;36(3):434-441
		                        		
		                        			
		                        			The present study investigated the application of echocardiography to evaluation of cardiac dyssynchrony in patients with congestive heart failure (CHF). A total of 348 consecutive CHF patients who were admitted for cardiac resynchronization (CRT) and presented with low ejection fraction (EF) and wide QRS duration were enrolled in this study, along with 388 healthy individuals. Dyssynchrony was assessed based on filling time ratio (FT/RR), left ventricular pre-ejection delay (PED), interventricular mechanical delay (IVMD), longitudinal opposing wall delay (LOWD) and radial septal to posterior wall delay (RSPWD). Response to CRT was defined as a ≥15% increase in EF. The results showed that FT/RR was decreased while PED, IVMD, LOWD and RSPWD were increased in the CHF group compared with the control group (P<0.01). In the CHF group, FT/RR was negatively correlated with the QRS duration, LV end-diastolic diameter (LVESd), LV end-diastolic volume (LVEDV) and LV end-systolic volume (LVESV) (P<0.01), but positively with the LVEF (P<0.01). Additionally, PED, IVMD, LOWD and RSPWD were positively correlated with the QRS duration, LVESd, LVEDV and LVESV (P<0.01), but negatively with the LVEF (P<0.01). The CHF group was divided into three subgroups according to the varying degrees of LVEF. FT/RR decreased successively from the LVEF-1 group to the LVEF-2 group to the LVEF-3 group, while the PED, IVMD, LOWD and RSPWD successively increased in the same order (P<0.01). The CHF group was divided into three subgroups according to the varying degrees of QRS duration, and FT/RR decreased successively in a sequence from the QRS-1 group to the QRS-2 group to the QRS-3 group, while the PED, IVMD, LOWD and RSPWD successively increased in the same order (P<0.01). Speckle tracking radial dyssynchrony ≥130 ms was predictive of an EF response in patients in QRS-1 group (78% sensitivity, 83% specificity), those in QRS-2 group (83% sensitivity, 77% specificity) and in QRS-3 group (89% sensitivity, 79% specificity). In conclusion, echocardiography is a convenient and sensitive method for evaluating cardiac dyssynchrony in patients with CHF.
		                        		
		                        		
		                        		
		                        			Adult
		                        			;
		                        		
		                        			Aged
		                        			;
		                        		
		                        			Arrhythmias, Cardiac
		                        			;
		                        		
		                        			diagnostic imaging
		                        			;
		                        		
		                        			physiopathology
		                        			;
		                        		
		                        			therapy
		                        			;
		                        		
		                        			Cardiac Resynchronization Therapy
		                        			;
		                        		
		                        			methods
		                        			;
		                        		
		                        			Case-Control Studies
		                        			;
		                        		
		                        			Diastole
		                        			;
		                        		
		                        			Echocardiography
		                        			;
		                        		
		                        			Female
		                        			;
		                        		
		                        			Heart
		                        			;
		                        		
		                        			diagnostic imaging
		                        			;
		                        		
		                        			physiopathology
		                        			;
		                        		
		                        			Heart Failure
		                        			;
		                        		
		                        			diagnostic imaging
		                        			;
		                        		
		                        			physiopathology
		                        			;
		                        		
		                        			therapy
		                        			;
		                        		
		                        			Humans
		                        			;
		                        		
		                        			Male
		                        			;
		                        		
		                        			Middle Aged
		                        			;
		                        		
		                        			Stroke Volume
		                        			;
		                        		
		                        			Systole
		                        			;
		                        		
		                        			Ventricular Dysfunction, Left
		                        			;
		                        		
		                        			diagnostic imaging
		                        			;
		                        		
		                        			physiopathology
		                        			;
		                        		
		                        			therapy
		                        			;
		                        		
		                        			Ventricular Remodeling
		                        			
		                        		
		                        	
7.Left ventricular systolic intraventricular flow field assessment in hyperthyroidism patients using vector flow mapping.
Bin-Yu ZHOU ; Jing WANG ; Ming-Xing XIE ; Man-Wei LIU ; Qing LV
Journal of Huazhong University of Science and Technology (Medical Sciences) 2015;35(4):574-578
		                        		
		                        			
		                        			Intraventricular hydrodynamics is considered an important component of cardiac function assessment. Vector flow mapping (VFM) is a novel flow visualization method to describe cardiac pathophysiological condition. This study examined use of new VFM and flow field for assessment of left ventricular (LV) systolic hemodynamics in patients with simple hyperthyroidism (HT). Thirty-seven simple HT patients were enrolled as HT group, and 38 gender- and age-matched healthy volunteers as control group. VFM model was used to analyze LV flow field at LV apical long-axis view. The following flow parameters were measured, including peak systolic velocity (Vs), peak systolic flow (Fs), total systolic negative flow (SQ) in LV basal, middle and apical level, velocity gradient from the apex to the aortic valve (ΔV), and velocity according to half distance (V1/2). The velocity vector in the LV cavity, stream line and vortex distribution in the two groups were observed. The results showed that there were no significant differences in the conventional parameters such as left ventricular ejection fraction (LVEF), left ventricular end-diastolic diameter (LVEDD) and left atrium diameter (LAD) between HT group and control group (P>0.05). Compared with the control group, a brighter flow and more vortexes were detected in HT group. Non-uniform distribution occurred in the LV flow field, and the stream lines were discontinuous in HT group. The values of Vs and Fs in three levels, SQ in middle and basal levels, ΔV and V1/2 were higher in HT group than in control group (P<0.01). ΔV was positively correlated with serum free thyroxin (FT4) (r=0.48, P<0.01). Stepwise multiple regression analysis showed that LVEDD, FT4, and body surface area (BSA) were the influence factors of ΔV. The unstable left ventricular systolic hydrodynamics increased in a compensatory manner in simple HT patients. The present study indicated that VFM may be used for early detection of abnormal ventricle contraction in clinical settings.
		                        		
		                        		
		                        		
		                        			Adult
		                        			;
		                        		
		                        			Echocardiography, Doppler, Color
		                        			;
		                        		
		                        			methods
		                        			;
		                        		
		                        			Female
		                        			;
		                        		
		                        			Humans
		                        			;
		                        		
		                        			Hyperthyroidism
		                        			;
		                        		
		                        			complications
		                        			;
		                        		
		                        			diagnostic imaging
		                        			;
		                        		
		                        			physiopathology
		                        			;
		                        		
		                        			Image Interpretation, Computer-Assisted
		                        			;
		                        		
		                        			methods
		                        			;
		                        		
		                        			Male
		                        			;
		                        		
		                        			Middle Aged
		                        			;
		                        		
		                        			Ventricular Dysfunction, Left
		                        			;
		                        		
		                        			diagnosis
		                        			;
		                        		
		                        			physiopathology
		                        			;
		                        		
		                        			Ventricular Function, Left
		                        			;
		                        		
		                        			Young Adult
		                        			
		                        		
		                        	
8.Adverse effects of type B ventricular pre-excitation on ventricular wall motion and left ventricular function: clinical analysis of 9 cases.
Baojing GUO ; Chencheng DAI ; Wenxiu LI ; Yanyan XIAO ; Ling HAN
Chinese Journal of Pediatrics 2014;52(4):308-312
OBJECTIVETo analyze the adverse effects of type B ventricular pre-excitation on ventricular wall motion and left ventricular function and its clinical characteristic.
METHODThe clinical, electrophysiological and echocardiographic characteristics of the 9 cases with type B ventricular pre-excitation before and after ablation seen between March 2011 and March 2013 were analyzed. The patients aged from 3 to 16 years. Five of them were female.
RESULTDyschronous left ventricular contraction was demonstrated by M-Mode echocardiography in all of the cases. The basal segments of the interventricular septum turned thin and moved in a manner similar to that of an aneurysm, with typical bulging during end-systole, which was observed in six cases. All patients received successful RFCAs. The locations of the accessory pathways (APs) were the right-sided anteroseptum (n = 2) and the free wall (n = 7). Their physical activities and growth improved greatly in the four cases with coexisting dilated cardiomyopathy (DCM). The echocardiographic data demonstrated that their LV contraction recovered to synchrony shortly after the ablation, LVEF recovered to normal and LVED decreased to almost normal gradually during the follow-up.
CONCLUSIONOvert right-sided APs may have adverse effects on ventricular wall motion and left ventricular function. They can even result in DCM. Dyssynchronous ventricular contraction induced by right-sided overt accessory pathway may be the vital mechanism. Such kinds of cases are indication for ablation with good prognosis.
Adolescent ; Cardiomyopathy, Dilated ; diagnostic imaging ; etiology ; physiopathology ; Catheter Ablation ; Child ; Child, Preschool ; Echocardiography ; Female ; Heart Ventricles ; physiopathology ; Humans ; Male ; Myocardial Contraction ; Ventricular Dysfunction, Left ; diagnostic imaging ; etiology ; physiopathology ; Wolff-Parkinson-White Syndrome ; complications ; physiopathology
9.Evaluation of left ventricular diastolic function by TE-e' measurement using dual Doppler echocardiography in coronary heart disease patients with preserved systolic function.
Jingjing WANG ; Yundai CHEN ; Jing WANG ; Guang ZHI ; Yang MU ; Yong XU
Journal of Southern Medical University 2014;34(3):349-353
OBJECTIVETo evaluate the accuracy of the time interval between the onset of early transmitral flow velocity (E) and that of early diastolic mitral annular velocity (e') (TE-e') measured by dual Doppler echocardiography in the diagnosis of diastolic dysfunction.
METHODSSeventy-seven coronary heart disease patients with preserved systolic function underwent a echocardiographic study. Early transmitral flow velocity E and early diastolic mitral annular velocity e' were simultaneously recorded by dual Doppler echocardiography. The E/e' and TE-e' were calculated and compared with the left ventricular end diastolic pressure (LVEDP), which was measured invasively. The validity of TE-e', E/e' and their combination was analyzed in estimating left ventricular dysfunction (LVEDP ≥12 mmHg).
RESULTSThe single-beat E/e' and TE-e' were correlated with the LVEDP (r=0.79 and 0.42, respectively, P<0.001). Receiver-operating characteristic analysis showed that the optimal cut-off for TE-e' was 38 ms (sensitivity 54%, specificity 79%, AUC 0.71) and that for E/e' was 9.2 (sensitivity 74%, specificity 81%, AUC 0.87) for diagnosis of left ventricular diastolic dysfunction. The combined cut-offs of TE-e'≥38 ms and E/e'≥9.2 had a sensitivity of 100% and a specificity of 62% in diagnosing left ventricular diastolic dysfunction with an AUC of 0.96.
CONCLUSIONIn patients with coronary heart disease, the simultaneous recording of TE-e' by dual Doppler echocardiography can accurately estimate diastolic dysfunction, and its combination with E/e' can further improve the diagnostic accuracy.
Aged ; Coronary Disease ; diagnostic imaging ; physiopathology ; Echocardiography, Doppler, Pulsed ; Female ; Humans ; Male ; Middle Aged ; Ventricular Dysfunction, Left ; diagnostic imaging ; physiopathology
10.Evaluating the left ventricular global systolic function of patients with diabetes mellitus by the real-time three-plane speckle tracking imaging.
Xiaoling ZHANG ; Xin WEI ; Lingqiu KONG ; Min LIU ; Hong TANG
Journal of Biomedical Engineering 2013;30(3):513-517
		                        		
		                        			
		                        			Our study was aimed to evaluate the left ventricular (LV) global longitudinal systolic function of patients with diabetes mellitus (DM) using real-time three-plane speckle tracking imaging (RT-3P STI). The case group was the patients of type 2 DM with normal LV ejection fraction (EF). Then according to glycated hemoglobin (HbAlc) control level, the case group was divided into two groups, including DM1 (HbAlc<7%, n=31) and DM2 (HbAlc >or=7%, n= 37); 63 matched volunteers were chosen as control group. Conventional measurements of the LV size and function were performed. We then applied the automatic function imaging to analyze the global longitudinal systolic peak strain (GLPS) of the three apical views online, including the GLPS of apical four chamber view (GLPS-A4C), the GLPS of apical two chamber view (GLPS-A2C), the GLPS of apical long axis view (GLPS-LAX), and then generating the average GLPS (GLPS-Avg). The experimental results showed that there was no statistical difference in clinical baseline characteristics among the three groups (P>0.05). However, there were statistical differences in the ventricular wall thickness and the LV mass index of the DM1 and DM2 groups compared with that of the control (P<0. 05). No significant differences were found in LV diameters, volumes, LVEF among the three studied groups (P>0. 05). We also found significant differences in GLPS-LAX, GLPS-A2C, GLPS-Avg when we compared DM2 group with those of the DM1 group or the control (P<0. 05). We found a statistical difference in GLPS-A4C only when we compared the DM2 group with the control(P<0. 05), and no statistical difference in the strains of the three views between DM1 group and control (P>0. 05). RT-3P STI could not only accurately be used to evaluate the LV global longitudinal systolic function, but could also reflect the reduction of sub-clilical systolic function in DM patients with poor blood glucose control in the early stage.
		                        		
		                        		
		                        		
		                        			Aged
		                        			;
		                        		
		                        			Case-Control Studies
		                        			;
		                        		
		                        			Diabetes Mellitus, Type 2
		                        			;
		                        		
		                        			complications
		                        			;
		                        		
		                        			diagnostic imaging
		                        			;
		                        		
		                        			physiopathology
		                        			;
		                        		
		                        			Echocardiography, Three-Dimensional
		                        			;
		                        		
		                        			methods
		                        			;
		                        		
		                        			Female
		                        			;
		                        		
		                        			Heart Ventricles
		                        			;
		                        		
		                        			diagnostic imaging
		                        			;
		                        		
		                        			Humans
		                        			;
		                        		
		                        			Male
		                        			;
		                        		
		                        			Middle Aged
		                        			;
		                        		
		                        			Myocardial Contraction
		                        			;
		                        		
		                        			physiology
		                        			;
		                        		
		                        			Stroke Volume
		                        			;
		                        		
		                        			Systole
		                        			;
		                        		
		                        			Ventricular Dysfunction, Left
		                        			;
		                        		
		                        			diagnostic imaging
		                        			;
		                        		
		                        			etiology
		                        			;
		                        		
		                        			Ventricular Function, Left
		                        			
		                        		
		                        	
            
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