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关于血管壁和壁应力的一些特殊考量。

Some unusual considerations about vessel walls and wall stresses.

作者信息

Doriot Pierre-André

机构信息

Cardiology Division, University Hospital, CH-1211 Geneva, 14, Switzerland.

出版信息

J Theor Biol. 2003 Mar 7;221(1):133-41. doi: 10.1006/jtbi.2003.3182.

Abstract

The "zero-stress state" of blood vessels is usually defined with respect to the atmospheric pressure p(a) ( approximately 750 mmHg). As a consequence, circumferential and axial wall stresses due to a positive transmural pressure can only be positive and thus, by definition, only tensile. If the zero-stress state were defined with respect to vacuum pressure (0 mmHg), the compressive stress -p(a) generated by p(a) everywhere in the wall would, however, be included so that negative (=compressive) wall stresses would formally become possible. In order to examine the consequences this alternative definition would have for arteries, we have compared radial, circumferential, and axial stresses calculated "conventionally" to the values they take when the zero-stress state is defined "correctly" by reference to the vacuum pressure. It turns out that, under normal physiologic conditions, axial stress and perhaps also circumferential stress might well be compressive in many elastic and conductance arteries, contrary to the intuitive conviction of many people. Since the type of stresses a vessel wall is submitted to may be highly relevant for its structure and mechanical properties, this unconventional way of considering wall stresses may reveal unsuspected relationships between wall stresses on one side, and wall structure, vessel growth, adaptation and repair processes, atherosclerosis, angioplasty or stenting on the other side. Similar considerations might also prove useful with regard to cardiac hypertrophy.

摘要

血管的“零应力状态”通常是相对于大气压力p(a)(约750 mmHg)来定义的。因此,由于正跨壁压力产生的周向和轴向壁应力只能是正的,所以根据定义,只能是拉伸应力。然而,如果零应力状态是相对于真空压力(0 mmHg)来定义的,那么由p(a)在壁内各处产生的压缩应力-p(a)就会被包括在内,这样负的(=压缩的)壁应力在形式上就会成为可能。为了研究这种替代定义对动脉的影响,我们将“传统”计算的径向、周向和轴向应力与参照真空压力“正确”定义零应力状态时它们所取的值进行了比较。结果表明,在正常生理条件下,许多弹性动脉和传导动脉中的轴向应力以及可能的周向应力很可能是压缩性的,这与许多人的直观认识相反。由于血管壁所承受的应力类型可能与其结构和力学性能高度相关,这种考虑壁应力的非常规方式可能揭示壁应力与壁结构、血管生长、适应和修复过程、动脉粥样硬化、血管成形术或支架置入术之间未曾预料到的关系。类似的考虑对于心肌肥大可能也有用。

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