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心脏收缩释放的能量(作功)是心肌纤维长度的函数,或谓心脏作功是心室舒张末期容积(EDV)的函数,即著名的Frank-Starling心脏定律,被认为是心脏作功的规律的正确表达。众所周知,对于一个力,当在这个力的方向上没有位移时是不作功的。在心室舒张末期,心脏尚未开始收缩,还没有力作功,因此,心脏作功和EDV之间没有函数关系。在心脏收缩射血的作功期,通常,每搏功(W)用射血压力(P)与射血容积(V)的乘积表达,即W=P×V。而射血容积(V)又等于舒张末期容积(EDV)减去收缩末期容积(ESV),所以W=P×(EDV-ESV)。这是我们都公认的计算心脏每搏射血作功的公式。在该公式中,W,P,EDV和ESV几个参数之间的数学关系清楚地表明了W不一定随EDV的增加而增加,也不一定随EDV的减小而减小:W和EDV之间没有函数关系。在这里,笔者仅从心脏作功的生物数学角度确认:Frank-Starling心脏定律不是一个真实的定律。
The energy released by systole (work) is a function of myocardial fiber length or cardiac work as a function of ventricular end-diastolic volume (EDV), the well-known Frank-Starling law of the heart that is thought to be the law of cardiac work Correctly expressed. It is a well-known fact that for a force it is unworkable when there is no displacement in the direction of this force. In the late ventricular end-diastole, the heart has not begun to contract and has not had any work to do, so there is no functional relationship between cardiac work and EDV. During systolic ejection, the stroke work (W) is usually expressed as the product of ejection pressure (P) and ejection volume (V), ie W = P × V. The ejection volume (V) is again equal to the end-diastolic volume (EDV) minus the end-systolic volume (ESV), so W = P × (EDV-ESV). This is a formula that we all recognize as the work-up for heart beat per beat. In this formula, the mathematical relationship between several parameters of W, P, EDV and ESV clearly shows that W does not necessarily increase with increasing EDV nor does it necessarily decrease with decreasing EDV: W and EDV There is no functional relationship between. Here, I only confirm from the biological mathematics of heart function: Frank-Starling’s law of the heart is not a true law.