Chlorogenic acid ameliorates heart failure by attenuating cardiomyocyte ferroptosis

Objective:To elucidate the effects of chlorogenic acid(CGA),a bioactive polyphenol compound prevalent in traditional Chinese medicine and various foods,including Lonicera japonica Thunb.(Jin Yin Hua),Eucommia ulmoides Oliv.(Du Zhong Ye),tea,and coffee,on cardiomyocyte ferroptosis and heart failure.Methods: We assessed the effect of CGA on cardiac function using a mouse model of heart failure induced by transverse aortic constriction(TAC).These indicators included the left ventricular ejection fraction(LVEF),fractional shortening(LVFS),end-systolic volume(LVESV),end-diastolic volume(LVEDV),end-systolic diameter(LVESD),and end-diastolic diameter(LVEDD).An isoprenaline hydrochloride(ISO)-induced H9c2 cardiomyocyte cell model was also established,and the cells were treated with various concentrations of CGA.To assess the effect of CGA on ferroptosis in cardiomyocytes,we measured cell viability and evaluated the levels of intracellular reactive oxygen species(ROS),ferrous ions(Fe^(2+)),and lipid peroxidation using fluorescent staining.To clarify the ferroptosis signaling pathway regulated by CGA,western blotting was used to examine the expression of ferroptosis biomarkers,specifically solute carrier family 7 member 11(SLC7A11)and glutathione peroxidase 4(GPX4),in H9c2 cardiomyocytes and mouse myocardial tissues.Results: CGA significantly enhanced cardiac performance indices such as LVEF,LVFS,LVESV,LVEDV,LVESD,and LVEDD.H9c2 cardiomyocytes exposed to ISO showed decreased cell viability and increased ROS levels,Fe^(2+)content,and lipid peroxidation levels.However,CGA treatment significantly ameliorated these changes.Additionally,in both H9c2 cardiomyocytes and myocardial tissue obtained from mice with TAC,CGA increased the expression of ferroptosis-related proteins,including SLC7A11 and GPX4.Conclusion: CGA has the potential to enhance cardiac function and diminish lipid peroxidation and ROS levels in cardiomyocytes via the SLC7A11/GPX4 signaling pathway.This process alleviates ferroptosis in cardiomyocytes.These results provide new insights into the clinical use of CGA and the management of heart failure.

Investigation on the mechanism of Qiangxinhuoli prescription in the treatment of chronic heart failure based on p38-MAPK signaling pathway

Background:The aim of this study is to investigate the mechanism of action underlying the therapeutic effects of the national patent Chinese medicine compound“Qiangxinhuoli prescription(QXHLF)”on chronic heart failure(CHF).Methods:In vitro,the H_(9)C_(2) cell model was induced by ANGII,and cell proliferation and related protein expression were detected by Cell Counting Kit-8 and Western blot.In vivo,A rat model of CHF was prepared by ligation of the left anterior descending coronary artery.The effects of QXHLF on cardiac function in CHF rats were evaluated by cardiac index,hemodynamic changes,enzyme-linked immunosorbent assay,hematoxylin-eosin staining,immunohistochemistry,Western blot and RT-PCR.The expression of pro-apoptotic factors and anti-apoptotic factors,as well as TGFβ1,p-p38,TAK 1 mRNA,and protein,were detected.Results:In vitro,QXHLF has a significant inhibitory effect on the proliferation of H_(9)C_(2) cells.QXHLF can reduce the expression levels of TAK 1,TGFβ1,p-p38,Caspase3 and BAX proteins in H_(9)C_(2) cells,and increase the expression level of BCL_(2) protein.In vivo,QXHLF has the potential to increase left ventricular systolic pressure,m aximum rate of change in left ventricular pressure while decreasing left ventricular end diastolic pressure,and inhibiting the serum levels of brain natriuretic peptide.Moreover,QXHLF exhibits significant improvements in the pathological alterations of myocardial cells and fibers in CHF rats,leading to enhanced myocardial tissue morphology and notable advantages in combating myocardial fibrosis.QXHLF can reduce the levels of BAX and Caspase3 and up-regulate the expression of BCL_(2),thereby inhibiting cardiomyocyte apoptosis.Furthermore,QXHLF demonstrates inhibitory effects on the mRNA and protein expression levels of TGFβ_(1),TAK_(1),and p-p38 in the heart tissue of the CHF rat model.Conclusion:These findings indicate that QXHLF has a therapeutic effect on CHF by inhibiting the p38-MAPK signaling pathway,reducing myocardial fibrosis,preventing apoptosis,inhibiting cell proliferation,and restoring myocardial injury.

AN IMPROVED FOSM METHOD FOR CALCULATING FAILURE PROBABILITY OF WELDED PIPES WITH FLAWS

The R F first order second moment method will produce more error for calculating the reliability of welded engineering pipe structures when the failure function is seriously nonlinear and the random variables don′t serve as normal distribution. In order to increase the computing accuracy of reliability, an improved FOSM method is used for calculating the failure probability of welded pipes with flaws in this paper. Because of solving the problems of the linear expansion of failure function at the failure point and constructing equivalent normal variables, the new algorithm can greatly improve the calculating accuracy of probability of the welded pipes with cracks. The examples show that this method is simple, efficient and accurate for reliability safety assessment of the welded pipes with cracks. It can save more time than the Monte Carlo method does, so that the improved FOSM method is recommended for engineering reliability safety assessment of the welded pipes with flaws.

Evaluation of the effect of geometrical parameters on stope probability of failure in the open stoping method using numerical modeling

Stress-induced failure is among the most common causes of instability in Canadian deep underground mines.Open stoping is the most widely practiced underground excavation method in these mines,and creates large stopes which are subjected to stress-induced failure.The probability of failure(POF)depends on many factors,of which the geometry of an open stope is especially important.In this study,a methodology is proposed to assess the effect of stope geometrical parameters on the POF,using numerical modelling.Different ranges for each input parameter are defined according to previous surveys on open stope geometry in a number of Canadian underground mines.A Monte-Carlo simulation technique is combined with the finite difference code FLAC3D,to generate model realizations containing stopes with different geometrical features.The probability of failure(POF)for different categories of stope geometry,is calculated by considering two modes of failure;relaxation-related gravity driven(tensile)failure and rock mass brittle failure.The individual and interactive effects of stope geometrical parameters on the POF,are analyzed using a general multi-level factorial design.Finally,mathematical optimization techniques are employed to estimate the most stable stope conditions,by determining the optimal ranges for each stope’s geometrical parameter.

Correlation between Histone Deacetylase 9 and Regulatory T Cell in Patients with Chronic Heart Failure

Heart failure （HF） is the end stage of various kinds of cardiovascular diseases and leads to a high mortality worldwide. Numerous studies have demonstrated that frequencies of CD4＋CD25＋Foxp3＋ regulatory T cells （Tregs） are reduced in HF patients and properly expanding Tregs attenuates HF progression. Histone deacetylase （HDAC） 9 has been revealed to contribute to several cardiovascular and cerebrovascular diseases. Plenty of studies showed that HDAC9 negatively regulated the number and function of Tregs. Thus, we aim to investigate the expression of HDAC 9 in patients with chronic heart failure （CHF） and the relationship among HDAC9, Tregs and CHF. Our research showed a reduced number of Tregs and an increased expression of HDAC9 mRNA in CHF patients. Patients with CHF were divided into two groups by heart function grade of New York Heart Association （NYHA）, we found that the HDAC9 mRNA expression level in NYHA grade Ⅱ -Ⅲ group were lower than that in NYHA grade IV group. More importantly, the correlation study suggested that the expression of HDAC9 mRNA was negatively correlated to Tregs frequency and left ventricular ejection fraction （LVEF）, whereas positively correlated to larger left ventricular end-diastolic dimension （LVEDD） and B-type natriuretic peptide （BNP） in patients with CHF. The correlation studies also showed a positive correlation between HDAC9 and the severity of CHF. Our research suggests that HDAC9 may be a new indicator for assessing CHF and it may offer a new direction for research of CHF.

Nonlinear finite-element-based structural system failure probability analysis methodology for gravity dams considering correlated failure modes

The structural system failure probability(SFP) is a valuable tool for evaluating the global safety level of concrete gravity dams.Traditional methods for estimating the failure probabilities are based on defined mathematical descriptions,namely,limit state functions of failure modes.Several problems are to be solved in the use of traditional methods for gravity dams.One is how to define the limit state function really reflecting the mechanical mechanism of the failure mode;another is how to understand the relationship among failure modes and enable the probability of the whole structure to be determined.Performing SFP analysis for a gravity dam system is a challenging task.This work proposes a novel nonlinear finite-element-based SFP analysis method for gravity dams.Firstly,reasonable nonlinear constitutive modes for dam concrete,concrete/rock interface and rock foundation are respectively introduced according to corresponding mechanical mechanisms.Meanwhile the response surface(RS) method is used to model limit state functions of main failure modes through the Monte Carlo(MC) simulation results of the dam-interface-foundation interaction finite element(FE) analysis.Secondly,a numerical SFP method is studied to compute the probabilities of several failure modes efficiently by simple matrix integration operations.Then,the nonlinear FE-based SFP analysis methodology for gravity dams considering correlated failure modes with the additional sensitivity analysis is proposed.Finally,a comprehensive computational platform for interfacing the proposed method with the open source FE code Code Aster is developed via a freely available MATLAB software tool(FERUM).This methodology is demonstrated by a case study of an existing gravity dam analysis,in which the dominant failure modes are identified,and the corresponding performance functions are established.Then,the dam failure probability of the structural system is obtained by the proposed method considering the correlation relationship of main failure modes on the basis of the mechanical mechanism analysis with the MC-FE simulations.

Reliable Failure Restoration with Bayesian Congestion Aware for Software Defined Networks

SoftwareDefined Networks(SDN)introduced better network management by decoupling control and data plane.However,communication reliability is the desired property in computer networks.The frequency of communication link failure degrades network performance,and service disruptions are likely to occur.Emerging network applications,such as delaysensitive applications,suffer packet loss with higher Round Trip Time(RTT).Several failure recovery schemes have been proposed to address link failure recovery issues in SDN.However,these schemes have various weaknesses,which may not always guarantee service availability.Communication paths differ in their roles;some paths are critical because of the higher frequency usage.Other paths frequently share links between primary and backup.Rerouting the affected flows after failure occurrences without investigating the path roles can lead to post-recovery congestion with packet loss and system throughput.Therefore,there is a lack of studies to incorporate path criticality and residual path capacity to reroute the affected flows in case of link failure.This paper proposed Reliable Failure Restoration with Congestion Aware for SDN to select the reliable backup path that decreases packet loss and RTT,increasing network throughput while minimizing post-recovery congestion.The affected flows are redirected through a path with minimal risk of failure,while Bayesian probability is used to predict post-recovery congestion.Both the former and latter path with a minimal score is chosen.The simulation results improved throughput by(45%),reduced packet losses(87%),and lowered RTT(89%)compared to benchmarking works.

Methodology for estimating probability of dynamical system's failure for concrete gravity dam

Methodology for the reliability analysis of hydraulic gravity dam is the key technology in current hydropower construction.Reliability analysis for the dynamical dam safety should be divided into two phases:failure mode identification and the calculation of the failure probability.Both of them are studied based on the mathematical statistics and structure reliability theory considering two kinds of uncertainty characters(earthquake variability and material randomness).Firstly,failure mode identification method is established based on the dynamical limit state system and verified through example of Koyna Dam so that the statistical law of progressive failure process in dam body are revealed; Secondly,for the calculation of the failure probability,mathematical model and formula are established according to the characteristics of gravity dam,which include three levels,that is element failure,path failure and system failure.A case study is presented to show the practical application of theoretical method and results of these methods.

Numerical method of slope failure probability based on Bishop model

Based on Bishop's model and by applying the first and second order mean deviations method, an approximative solution method for the first and second order partial derivatives of functional function was deduced according to numerical analysis theory. After complicated multi-independent variables implicit functional function was simplified to be a single independent variable implicit function and rule of calculating derivative for composite function was combined with principle of the mean deviations method, an approximative solution format of implicit functional function was established through Taylor expansion series and iterative solution approach of reliability degree index was given synchronously. An engineering example was analyzed by the method. The result shows its absolute error is only 0.78% as compared with accurate solution.

Life-cycle failure probability analysis of deteriorated RC bridges under multiple hazards of earthquakes and strong winds

Engineering structures may be exposed to one or more extreme hazards during their life-cycles.Current structural design specifications usually treat multiple hazards separately in designing structures and there is a limited probabilistic basis on extreme load combinations.Additionally,the performance of engineering structures will be deteriorated by the aggressive environments during their service periods,such as chloride attack,concrete carbonation,and wind-induced fatigue.This study presents a probabilistic methodology to assess the time-dependent failure probability of RC bridges with chloride-induced corrosion under the multiple hazards of earthquakes and strong winds.The loss of cross-section area of reinforcements and the reduction in strength of reinforcing steel and concrete cover induced by the chloride attack are considered.Moreover,the Poisson model is employed to obtain the occurrence probabilities of the individual and concurrent earthquake and strong wind events.The convolution integral is used to determine the joint probability distribution of combined load effects under simultaneous earthquakes and strong winds.Numerical results indicate that the structural failure probability under multiple hazards increases significantly during the bridge′s life-cycle due to the chloride corrosion effect.The contribution of each hazard event on the total structural failure probability varies with time.Thus,neglecting the combined influences of multiple hazards and chloride-induced corrosion may bring erroneous predictions in failure probability estimates of RC bridges.

Failure probability analysis of coal crushing induced by uncertainty of influential parameters under condition of in-situ reservoir

The uncertainties of some key influence factors on coal crushing,such as rock strength,pore pressure and magnitude and orientation of three principal stresses,can lead to the uncertainty of coal crushing and make it very difficult to predict coal crushing under the condition of in-situ reservoir.To account for the uncertainty involved in coal crushing,a deterministic prediction model of coal crushing under the condition of in-situ reservoir was established based on Hoek-Brown criterion.Through this model,key influence factors on coal crushing were selected as random variables and the corresponding probability density functions were determined by combining experiment data and Latin Hypercube method.Then,to analyze the uncertainty of coal crushing,the firstorder second-moment method and the presented model were combined to address the failure probability involved in coal crushing analysis.Using the presented method,the failure probabilities of coal crushing were analyzed for WS5-5 well in Ningwu basin,China,and the relations between failure probability and the influence factors were furthermore discussed.The results show that the failure probabilities of WS5-5 CBM well vary from 0.6 to 1.0; moreover,for the coal seam section at depth of 784.3-785 m,the failure probabilities are equal to 1,which fit well with experiment results; the failure probability of coal crushing presents nonlinear growth relationships with the increase of principal stress difference and the decrease of uniaxial compressive strength.

A Fast Product of Conditional Reduction Method for System Failure Probability Sensitivity Evaluation

Systemreliability sensitivity analysis becomes difficult due to involving the issues of the correlation between failure modes whether using analytic method or numerical simulation methods.A fast conditional reduction method based on conditional probability theory is proposed to solve the sensitivity analysis based on the approximate analytic method.The relevant concepts are introduced to characterize the correlation between failure modes by the reliability index and correlation coefficient,and conditional normal fractile the for the multi-dimensional conditional failure analysis is proposed based on the two-dimensional normal distribution function.Thus the calculation of system failure probability can be represented as a summation of conditional probability terms,which is convenient to be computed by iterative solving sequentially.Further the system sensitivity solution is transformed into the derivation process of the failure probability correlation coefficient of each failure mode.Numerical examples results show that it is feasible to apply the idea of failure mode relevancy to failure probability sensitivity analysis,and it can avoid multi-dimension integral calculation and reduce complexity and difficulty.Compared with the product of conditional marginalmethod,a wider value range of correlation coefficient for reliability analysis is confirmed and an acceptable accuracy can be obtained with less computational cost.

GENERAL FAILURE PROBABILITY SIMULATION AND APPLICATION FOR MULTI-MODE

A general failure probability simulation and deviation evaluation methods were presented for fuzzy safety state and fuzzy failure state. And the corresponding number integral method was simultaneously established. As the distribution of state variable and the membership of the state variable to the fuzzy safety set were normal, the general failure probability of the single failure mode had precise analytic solution, which was used to verify the precision of the presented methods. The results show that the evaluation of the simulation method convergences to the analytic solution with the number increase of the sampling. The above methods for the single failure mode was extended to the multi-mode by the expansion and probability principles. The presented methods were applied to the engineering problem. For the number of significant mode is not too many, the high precision solution can be given by the presented number simulation and number integral methods, which is illustrated by the engineering examples. In addition, the application scope of the methods was discussed.

PCSK9抑制剂在治疗心力衰竭中的作用机制

心力衰竭是一种病理机制复杂的心血管疾病,目前临床治疗心力衰竭的方案尚不完善,仍处于不断优化的过程中。前蛋白转化酶枯草溶菌素9(PCSK9)抑制剂作为一种新型降脂药,可显著降低低密度脂蛋白胆固醇水平,有效减轻心脏负担,改善心功能。此外,PCSK9抑制剂还可通过减少肿瘤坏死因子-ɑ和白细胞介素等促炎性细胞因子的产生抑制炎症反应,从而延缓心力衰竭的进展。改善血管内皮细胞功能是PCSK9抑制剂的另一重要机制,但PCSK9抑制剂在心力衰竭治疗中的具体作用机制和长期疗效尚不明确,未来需要进一步评估,以为心力衰竭患者提供更全面的治疗选择。

Genetic Algorithm Optimization Model for Determining the Probability of Failure on Demand of the Safety Instrumented System

A more accurate determination for the Probability of Failure on Demand(PFD)of the Safety Instrumented System(SIS)contributes to more SIS realiability,thereby ensuring more safety and lower cost.IEC 61508 and ISA TR.84.02 provide the PFD detemination formulas.However,these formulas suffer from an uncertaity issue due to the inclusion of uncertainty sources,which,including high redundant systems architectures,cannot be assessed,have perfect proof test assumption,and are neglegted in partial stroke testing(PST)of impact on the system PFD.On the other hand,determining the values of PFD variables to achieve the target risk reduction involves daunting efforts and consumes time.This paper proposes a new approach for system PFD determination and PFD variables optimization that contributes to reduce the uncertainty problem.A higher redundant system can be assessed by generalizing the PFD formula into KooN architecture without neglecting the diagnostic coverage factor(DC)and common cause failures(CCF).In order to simulate the proof test effectiveness,the Proof Test Coverage(PTC)factor has been incorporated into the formula.Additionally,the system PFD value has been improved by incorporating PST for the final control element into the formula.The new developed formula is modelled using the Genetic Algorithm(GA)artificial technique.The GA model saves time and effort to examine system PFD and estimate near optimal values for PFD variables.The proposed model has been applicated on SIS design for crude oil test separator using MATLAB.The comparison between the proposed model and PFD formulas provided by IEC 61508 and ISA TR.84.02 showed that the proposed GA model can assess any system structure and simulate industrial reality.Furthermore,the cost and associated implementation testing activities are reduced.

血清基质金属蛋白酶-9、可溶性尿激酶型纤溶酶原激活物受体及纤溶酶原激活物抑制因子-1联合检测预测老年慢性心力衰竭患者预后的价值

目的 探讨血清基质金属蛋白酶-9(MMP-9)、可溶性尿激酶型纤溶酶原激活物受体(suPAR)及纤溶酶原激活物抑制因子-1(PAI-1)表达与老年慢性心力衰竭(CHF)患者心功能分级及预后的关系。方法 选取廊坊市中医医院收治的108例CHF患者及同期50例健康体检者分别作为研究组和对照组。采集受试者血液标本,测定血清MMP-9、suPAR及PAI-1水平。比较不同纽约心脏病协会(NYHA)心功能分级患者及不同预后患者的血清指标差异,并分析各血清指标对不良预后的预测价值。结果 与对照组相比,研究组血清MMP-9、suPAR、PAI-1水平更高,差异有统计学意义(P<0.05)。NYHA分级Ⅱ级、Ⅲ级、Ⅳ级CHF患者的血清MMP-9、suPAR、PAI-1水平呈逐渐升高趋势,差异均有统计学意义(P<0.05)。随访1年的结果显示,预后良好65例,预后不良43例,预后不良率为39.81%(43/108)。与预后良好患者相比,预后不良患者的年龄更大,合并高血压率更高,左室射血分数(LVEF)更低,左室舒张末期内径(LVEDD)、MMP-9、suPAR及PAI-1水平更高,差异有统计学意义(P<0.05)。Logistic回归分析显示,年龄、MMP-9、suPAR、PAI-1均是老年CHF患者预后不良的危险因素,LVEF是老年CHF患者预后不良的保护因素(P<0.05)。血清MMP-9、suPAR、PAI-1单独检测及3项联合检测的曲线下面积(AUC)分别为0.711、0.829、0.768和0.840,3项联合检测的敏感度为88.21%,特异度为79.46%。结论 老年慢性CHF患者的血清MMP-9、suPAR、PAI-1表达水平与心功能分级及预后不良密切相关。

血清CTRP9、Gal-3与慢性心力衰竭患者室性心律失常关系及对室性心律失常预测价值

目的探究血清补体C1q肿瘤坏死因子相关蛋白9(CTRP9)和乳糖凝集素-3(Gal-3)与慢性心力衰竭(CHF)患者室性心律失常关系及对室性心律失常预测价值。方法选取2021年10月—2022年10月收治的CHF 120例,根据是否发生室性心律失常分为发生组(41例)和未发生组(79例)。比较2组临床资料及血清CTRP9、Gal-3,分析CHF患者室性心律失常影响因素,探讨血清CTRP9和Gal-3交互作用对CHF患者室性心律失常发生风险影响,评价血清CTRP9和Gal-3对CHF患者室性心律失常预测价值,比较不同血清CTRP9和Gal-3水平CHF患者预后情况。结果发生组心功能分级、左室射血分数及平均心率与未发生组比较差异有统计学意义(P<0.01);发生组血清CTRP9低于未发生组,血清Gal-3高于未发生组(P<0.01)。Logistic回归分析显示,心功能分级、左室射血分数、平均心率及血清CTRP9、Gal-3均为CHF患者室性心律失常影响因素(P<0.01),且血清CTRP9和Gal-3间存在相加交互作用。受试者工作特征曲线显示,血清CTRP9和Gal-3联合预测CHF患者室性心律失常的曲线下面积为0.941,高于单独预测的0.802和0.714(P<0.01)。以CHF 120例血清CTRP9和Gal-3平均值为界,血清CTRP9高水平患者心血管不良事件发生率低于血清CTRP9低水平患者,而血清Gal-3高水平患者心血管不良事件发生率高于血清Gal-3低水平患者(P<0.05)。结论CHF患者血清CERP9下降、Gal-3升高,与室性心律失常发生有关。临床检测CHF患者血清CTRP9和Gal-3有助于预测室性心律失常发生风险。

Bayesian Estimation and Hierarchical Bayesian Estimation of Zero-failure Data

The zero_failure data research is a new field in the recent years, but it is required urgently in practical projects, so the work has more theory and practical values. In this paper, for zero_failure data (t i,n i) at moment t i , if the prior distribution of the failure probability p i=p{T【t i} is quasi_exponential distribution, the author gives the p i Bayesian estimation and hierarchical Bayesian estimation and the reliability under zero_failure date condition is also obtained.

Towards multiple hazard resilient bridges:a methodology for modeling frequent and infrequent time-varying loads Part I,Comprehensive reliability and partial failure probabilities

The current AASHTO load and resistance factor design （LRFD） guidelines are formulated based on bridge reliability, which interprets traditional design safety factors into more rigorously deduced factors based on the theory of probability. This is a major advancement in bridge design specifications. However, LRFD is only calibrated for dead and live loads. In cases when extreme loads are significant, they need to be individually assessed. Combining regular loads with extreme loads has been a major challenge, mainly because the extreme loads are time variables and cannot be directly combined with time invariant loads to formulate the probability of structural failure. To overcome these difficulties, this paper suggests a methodology of comprehensive reliability, by introducing the concept of partial failure probability to separate the loads so that each individual load combination under a certain condition can be approximated as time invariant. Based on these conditions, the extreme loads （also referred to as multiple hazard or MH loads） can be broken down into single effects. In Part II of this paper, a further breakdown of these conditional occurrence probabilities into pure conditions is discussed by using a live truck and earthquake loads on a bridge as an example. There are three major steps in establishing load factors from MH load distributions： （1） formulate the failure probabilities; （2） normalize various load distributions; and （3） establish design limit state equations. This paper describes the formulation of the failure probabilities of single and combined loads.

Processing for Zero-Failure Data of the Products

In this paper, an estimation method for reliability parameter in the case of zero-failuare data-synthetic estimation method is given. For zero-failure data of double-parameter exponential distribution, a hierarchical Bayesian estimation of the failure probability is presented. After failure information is introduced, hierarchical Bayesian estimation and synthetic estimation of the failure probability, as well as synthetic estimation of reliability are given. Calculation and analysis are performed regarding practical problems in case that life distribution of an engine obeys double-parameter exponential distribution.