Adler D, Nikolic S, Sonnenblick E H, Yellin E L
Department of Biomedical Engineering, Hadassah University Hospital, Jerusalem, Israel.
Circ Res. 1991 Jul;69(1):26-38. doi: 10.1161/01.res.69.1.26.
This study investigations the phenomenon of sustained mechanical alternans (SMA) through the use of quantitative criteria. Discrete analysis is used to demonstrate that the hemodynamic variables during SMA are governed by a simple mathematical relation. The analysis shows that the value of the slope created by the two alternating beats on the stroke volume (SV)-end-diastolic volume (EDV) plane is gamma = (mu - 1) (1 + beta)/(mu - beta), where mu = SVs/SVw, and SVs and SVw denote the strong and weak beats, respectively, in the presence of one contractile state, and the beats associated with the higher and lower contractile states, respectively, in the presence of two alternating contractile states; beta = FVs/FVw, where FVs and FVw are the filling volumes after SVs and SVw, respectively. This equation is valid, whether SMA is exhibited in the presence of one or two contractile states and irrespective of the SV-EDV functional relation. Assuming constant afterload, a criterion based on this slope (gamma) is described to determine if SMA is caused by variations in EDV and FV. The slope of the SV-EDV curve in the presence of one contractile state (denoted as gamma) was determined directly (34 runs in eight dogs) by preventing FV in a beat, after a steady state, using a remote-controlled mitral valve. The slope gamma = 0.892 +/- 0.078 was found to agree with data in the literature. In 10 other dogs, mitral flow and aortic flow were measured in 55 series of SMA. In 51 series, gamma was greater than 1. Because the experimental slope in the presence of one contractile state, gamma, is smaller than or equal to 1, the possibility that one contractile state is involved in this series is rejected. On the other hand, when two contractile states are involved, the slope that the two successive beats create on the SV-EDV plane, gamma, is determined by connecting the two SV-EDV relations. This slope tends to be greater than 1. Thus, in these 51 series, SMA cannot be explained as a result of the Frank-Starling mechanism and variations in FV but as a result of two alternating contractile states. In the other four series, the value of gamma can be compatible either with the presence of one contractile state or with two alternating contractile states. This quantitative analysis enables the classification of the various types of SMA into subcategories with well-defined features. The quantitative analysis presented here shows that the common genesis of SMA is an alternating contractile state.
本研究通过使用定量标准来研究持续性机械交替(SMA)现象。采用离散分析来证明SMA期间的血流动力学变量受一个简单数学关系的支配。分析表明,在每搏输出量(SV)-舒张末期容积(EDV)平面上由两个交替搏动产生的斜率值为γ = (μ - 1) (1 + β)/(μ - β),其中μ = SVs/SVw,SVs和SVw分别表示在一种收缩状态下的强搏动和弱搏动,以及在两种交替收缩状态下分别与较高和较低收缩状态相关的搏动;β = FVs/FVw,其中FVs和FVw分别是SVs和SVw之后的充盈容积。无论SMA是在一种还是两种收缩状态下出现,且与SV-EDV功能关系无关,该方程均有效。假设后负荷恒定,描述了基于此斜率(γ)的一个标准,以确定SMA是否由EDV和FV的变化引起。在一种收缩状态下(记为γ),通过在稳定状态后使用遥控二尖瓣阻止一个搏动中的FV,直接测定了SV-EDV曲线的斜率(8只狗进行了34次实验)。发现斜率γ = 0.892 ± 0.078与文献数据相符。在另外10只狗中,在55组SMA中测量了二尖瓣血流和主动脉血流。在51组中,γ大于1。由于在一种收缩状态下的实验斜率γ小于或等于1,所以排除了该组涉及一种收缩状态的可能性。另一方面,当涉及两种收缩状态时,由两个连续搏动在SV-EDV平面上产生的斜率γ通过连接两个SV-EDV关系来确定。这个斜率往往大于1。因此,在这51组中,SMA不能解释为Frank-Starling机制和FV变化的结果,而应解释为两种交替收缩状态的结果。在另外4组中,γ值既可能与一种收缩状态的存在相符,也可能与两种交替收缩状态的存在相符。这种定量分析能够将各种类型的SMA分类为具有明确特征的子类别。这里给出的定量分析表明,SMA的共同起源是一种交替收缩状态。