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心包应力-应变关系的数学与力学建模

Mathematical and mechanical modeling of stress-strain relationship of pericardium.

作者信息

Rabkin S W, Hsu P H

出版信息

Am J Physiol. 1975 Oct;229(4):896-900. doi: 10.1152/ajplegacy.1975.229.4.896.

DOI:10.1152/ajplegacy.1975.229.4.896
PMID:1190332
Abstract

Several mathematical expressions (models) were compared for use in describing the stress-strain (sigma - epsilon) relationship of pericardium. The expression sigma = alpha[ebeta epsilon - 1] was preferred because of its simpler form, theoretical consistency, and "good fit" of experimental data. A method was developed for estimating the precisions of the estimates of the parameters alpha and beta. This approach can have general usefulness in assessing the significance of a change in stress-strain relationship of various soft tissues following different interventions. A mechanical model was formulated for the pericardium which consisted of springs representing the collagen and elastin fibers connected in parallel. It could be simulated by the above equation and could describe the behavior of the pericardium.

摘要

为了描述心包的应力-应变(σ-ε)关系,对几种数学表达式(模型)进行了比较。表达式σ = α[ebeta ε - 1]因其形式更简单、理论一致性以及实验数据的“良好拟合”而更受青睐。开发了一种方法来估计参数α和β估计值的精度。这种方法在评估不同干预后各种软组织应力-应变关系变化的显著性方面可能具有普遍用途。为心包建立了一个力学模型,该模型由代表平行连接的胶原纤维和弹性纤维的弹簧组成。它可以用上述方程进行模拟,并能描述心包的行为。

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