Multiscale homogenized constrained mixture model of the bio-chemo-mechanics of soft tissue growth and remodeling

IF 3 3区医学 Q2 BIOPHYSICS

Biomechanics and Modeling in Mechanobiology Pub Date : 2024-10-17 DOI:10.1007/s10237-024-01884-w

Daniel Paukner, Jay D. Humphrey, Christian J. Cyron

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引用次数: 0

Abstract

Constrained mixture models have successfully simulated many cases of growth and remodeling in soft biological tissues. So far, extensions of these models have been proposed to include either intracellular signaling or chemo-mechanical coupling on the organ-scale. However, no version of constrained mixture models currently exists that includes both aspects. Here, we propose such a version that resolves cellular signal processing by a set of logic-gated ordinary differential equations and captures chemo-mechanical interactions between cells by coupling a reaction-diffusion equation with the equations of nonlinear continuum mechanics. To demonstrate the potential of the model, we present 2 case studies within vascular solid mechanics: (i) the influence of angiotensin II on aortic growth and remodeling and (ii) the effect of communication between endothelial and intramural arterial cells via nitric oxide and endothelin-1.

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软组织生长和重塑的生物化学力学多尺度均质约束混合物模型。

受限混合模型已成功模拟了许多软生物组织的生长和重塑情况。迄今为止，已有人提出对这些模型进行扩展，以包括器官尺度上的细胞内信号传递或化学-机械耦合。然而，目前还没有同时包含这两个方面的约束混合物模型版本。在这里，我们提出了这样一个版本，它通过一组逻辑门控常微分方程来解决细胞信号处理问题，并通过将反应扩散方程与非线性连续介质力学方程耦合来捕捉细胞间的化学机械相互作用。为了证明该模型的潜力，我们介绍了血管固体力学中的两个案例研究：(i) 血管紧张素 II 对主动脉生长和重塑的影响；(ii) 内皮细胞和动脉内膜细胞之间通过一氧化氮和内皮素-1 进行交流的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Biomechanics and Modeling in Mechanobiology 工程技术-工程：生物医学

CiteScore

7.10

自引率

8.60%

发文量

119

审稿时长

6 months

期刊介绍： Mechanics regulates biological processes at the molecular, cellular, tissue, organ, and organism levels. A goal of this journal is to promote basic and applied research that integrates the expanding knowledge-bases in the allied fields of biomechanics and mechanobiology. Approaches may be experimental, theoretical, or computational; they may address phenomena at the nano, micro, or macrolevels. Of particular interest are investigations that (1) quantify the mechanical environment in which cells and matrix function in health, disease, or injury, (2) identify and quantify mechanosensitive responses and their mechanisms, (3) detail inter-relations between mechanics and biological processes such as growth, remodeling, adaptation, and repair, and (4) report discoveries that advance therapeutic and diagnostic procedures. Especially encouraged are analytical and computational models based on solid mechanics, fluid mechanics, or thermomechanics, and their interactions; also encouraged are reports of new experimental methods that expand measurement capabilities and new mathematical methods that facilitate analysis.