血管平滑肌细胞收缩计算模型的不稳定性

IF 3 2区 医学 Q3 ENGINEERING, BIOMEDICAL
Alessandro Giudici, Jason M. Szafron, Abhay B. Ramachandra, Bart Spronck
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引用次数: 0

摘要

目的:血管平滑肌细胞(VSMC)通过其收缩和合成能力,可以调节血液循环的硬度和阻力。为模拟血管收缩,可在(被动)考希应力张量中加入主动应力分量。人们提出了不同的构成公式来描述这种主动应力成分。但值得注意的是,测量体内收缩血管的生物力学行为面临着一些实验挑战,这使得获取全面数据集以建立复杂的主动应力模型变得更加复杂。在这项工作中,我们研究了在有限的实验收缩数据下使用的公式,以及为获取更全面的数据集而开发的公式:首先,我们通过分析证明,在某些参数范围内,特别是在大收缩变形情况下,主动应力构成公式的一个子集表现出不稳定行为(即给定压力下的非唯一直径解)。其次,利用实验文献数据,我们介绍了两个案例研究,即在存在(1)有限收缩数据和(2)大量收缩数据的情况下,使用这些公式捕捉 VSMC 的收缩响应:结果:我们展示了有限的收缩数据如何使血管应用中选择合适的主动应力模型变得复杂,从而可能导致不切实际的建模行为:我们的数据为选择主动应力模型提供了有用的参考,该模型在准确性和可用生物力学信息之间取得了平衡。只要能通过实验对主动生物力学进行广泛表征,我们就会推荐使用精度更高的复杂生理模型,而常数 2 Piola-Kirchhoff 主动应力模型则能在收缩数据稀少的情况下很好地平衡精度和适用性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Instability in Computational Models of Vascular Smooth Muscle Cell Contraction

Instability in Computational Models of Vascular Smooth Muscle Cell Contraction

Purpose

Through their contractile and synthetic capacity, vascular smooth muscle cells (VSMCs) can regulate the stiffness and resistance of the circulation. To model the contraction of blood vessels, an active stress component can be added to the (passive) Cauchy stress tensor. Different constitutive formulations have been proposed to describe this active stress component. Notably, however, measuring biomechanical behaviour of contracted blood vessels ex vivo presents several experimental challenges, which complicate the acquisition of comprehensive datasets to inform complex active stress models. In this work, we examine formulations for use with limited experimental contraction data as well as those developed to capture more comprehensive datasets.

Methods

First, we prove analytically that a subset of constitutive active stress formulations exhibits unstable behaviours (i.e., a non-unique diameter solution for a given pressure) in certain parameter ranges, particularly for large contractile deformations. Second, using experimental literature data, we present two case studies where these formulations are used to capture the contractile response of VSMCs in the presence of (1) limited and (2) extensive contraction data.

Results

We show how limited contraction data complicates selecting an appropriate active stress model for vascular applications, potentially resulting in unrealistic modelled behaviours.

Conclusion

Our data provide a useful reference for selecting an active stress model which balances the trade-off between accuracy and available biomechanical information. Whilst complex physiologically motivated models’ superior accuracy is recommended whenever active biomechanics can be extensively characterised experimentally, a constant 2nd Piola-Kirchhoff active stress model balances well accuracy and applicability with sparse contractile data.

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来源期刊
Annals of Biomedical Engineering
Annals of Biomedical Engineering 工程技术-工程:生物医学
CiteScore
7.50
自引率
15.80%
发文量
212
审稿时长
3 months
期刊介绍: Annals of Biomedical Engineering is an official journal of the Biomedical Engineering Society, publishing original articles in the major fields of bioengineering and biomedical engineering. The Annals is an interdisciplinary and international journal with the aim to highlight integrated approaches to the solutions of biological and biomedical problems.
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