Hudetz A G, Monos E
Acta Physiol Hung. 1985;65(2):109-23.
A new viscoelastic model was developed for the mathematical characterisation of mechanically induced and intrinsic contractional responses of the vascular smooth muscle. To this end, the elastic and viscous analogue elements were supplemented with a new active element generating stress proportional to its momentary elongation. The four-element model consisting of an active element, a parallel viscous element and both series and parallel elastic elements predicted biphasic or damped oscillatory stress relaxation and creep responses which were similar to that found experimentally earlier. Above a certain exciting frequency the model exhibited dissipative and below energy producing behaviour, as indicated by the sign change of the hysteresis loop area. In the case of sinusoidal modulation of the stress generation parameter the model showed parametric resonance, which was regarded as a simulation of intrinsic oscillation of the smooth muscle.
开发了一种新的粘弹性模型，用于对血管平滑肌的机械诱导和内在收缩反应进行数学表征。为此，弹性和粘性类似元件被补充了一个新的活性元件，该元件产生与其瞬时伸长成正比的应力。由一个活性元件、一个并联粘性元件以及串联和并联弹性元件组成的四元件模型预测了双相或阻尼振荡应力松弛和蠕变反应，这与早期实验中发现的反应相似。在某个特定的激励频率以上，该模型表现出耗散行为，而在该频率以下则表现出能量产生行为，这由滞后回线面积的符号变化表示。在应力产生参数进行正弦调制的情况下，该模型显示出参数共振，这被视为平滑肌内在振荡的一种模拟。
