Hypothesis testing via numerical models has emerged as a powerful tool which permits the verification of theoretical frameworks against canonical experimental and clinical observations. Cleverly designed computational experiments also inspire new methodologies by elucidating important biological processes and restricting parametric spaces. Constrained mixture models of arterial growth and remodeling (G&R) can facilitate the design of computational experiments which can bypass technical limitations in the laboratory, by considering illustrative special cases. The resulting data may then inform the design of focused experimental techniques and the development of improved theories. This work is a survey of computational hypothesis-testing studies, which exploit the unique abilities offered by the constrained mixture theory of arterial G&R. Specifically, we explore the core hypotheses integrated in these models, review their basic mathematical conceptualizations, and recapitulate their most salient and illuminating findings. We then assess how a decade's worth of constrained mixture models have contributed to a lucid, emerging picture of G&R mechanisms.

中文翻译：

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约束混合模型作为测试动脉生物力学竞争假设的工具：简要调查

通过数值模型进行的假设检验已成为一种强大的工具，它允许根据规范的实验和临床观察来验证理论框架。设计巧妙的计算实验还通过阐明重要的生物过程和限制参数空间来激发新的方法论。通过考虑说明性的特殊情况，动脉生长和重塑 (G&R) 的约束混合模型可以促进可以绕过实验室技术限制的计算实验的设计。所得数据随后可为重点实验技术的设计和改进理论的发展提供信息。这项工作是对计算假设检验研究的调查，这些研究利用了动脉 G&R 的约束混合理论提供的独特能力。具体来说，我们探索了这些模型中集成的核心假设，回顾了它们的基本数学概念，并概括了它们最突出和最有启发性的发现。然后，我们评估了十年来的受限混合模型如何为 G&R 机制的清晰、新兴图景做出贡献。