CONTINUUM RHEOLOGY OF MUSCLE-CONTRACTION AND ITS APPLICATION TO CARDIAC CONTRACTILITY
CONTINUUM RHEOLOGY OF MUSCLE-CONTRACTION AND ITS APPLICATION TO CARDIAC CONTRACTILITY
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DOI：
10.1016/s0006-3495(85)83920-5
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发表时间：
1985-01-01
影响因子：
3.4
通讯作者：
TOZEREN, A
中科院分区：
文献类型：
--
作者：
TOZEREN, A
提出了一组本构方程来描述骨骼肌和心肌的收缩力学。假设纤维张力取决于纤维的化学活化程度、拉伸比和拉伸速率。激活的时间变化率由微分方程控制。所提出的本构方程用于模拟肌肉对刺激反应的收缩和松弛阶段期间等张和等长抽搐的时间过程。接下来使用所提出的本构方程考虑左心室的各种收缩性指数。本分析介绍了心脏文献中使用的收缩力指数 (dP/dt)/P 的新解释。该指数可能与最大缩短速度完全无关，并且可能取决于周期和后负荷。左心室等容收缩期间压力的发展受微分方程控制，该微分方程描述了心肌纤维等长收缩期间张力变化的时间率。
A set of constitutive equations is proposed to describe the mechanics of contraction of skeletal and heart muscle. Fiber tension is assumed to depend on the degree of chemical activation, the stretch ratio, and the rate of stretching of the fibers. The time rate of change of activation is governed by a differential equation. The proposed constitutive equation are used to model the time courses of isotonic and isometric twitches during contraction and relaxation phases of the muscle response to stimulation. Various contractility indices of the left ventricle are considered next by using the proposed constitutive equations. The present analysis introduces a new interpretation of the index of contractility (dP/dt)/P used in cardiac literature. This index may not be related at all to the maximum speed of shortening and that it may be dependent on both period and afterload. The development of pressure during isovolumetric contraction of the left ventricle is shown to be governed by a differential equation describing the time rate of change of tension during isometric contraction of myocardium fibers.