用近似贝叶斯计算校准表征微血管自调节行为的模型参数

IF 2.4 4区 医学 Q3 ENGINEERING, BIOMEDICAL
Ali Daher
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引用次数: 0

摘要

本研究旨在利用现有的微血管肌源性和内皮反应的实验数据来校准参数并完善顺应性反馈模型的功能形式。本研究中使用的实验数据追踪了单个小动脉血管的血管直径随腔内压力和/或压力梯度变化的变化,这分别对应于肌源性和内皮机制。顺应性反馈模型是先前开发的,用于表征微血管的弹性和自调节行为。我们设计并采用两阶段顺序蒙特卡罗(MC)近似贝叶斯计算(ABC)方案来获得模型参数的后验分布,从而使最终的参数空间分布集成了参数的任何先验知识、模型动力学和可用实验数据的信息。此外,校准方案提供了对动力系统潜在机制特征的关键见解;也就是说,ABC方案揭示了肌原性扩张和收缩在时间常数上的显著差异。总体而言,在参数校准后,计算成本低的依从性反馈模型与实验测量结果非常吻合,尽管数据可用性有限,表明该模型提供了简单,紧凑,但稳健且基于生理的自调节反应表征,所有这些都是提高血流动力学模型在临床环境中的可翻译性的基本属性,以供未来临床应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Using Approximate Bayesian Computation to Calibrate the Model Parameters Characterizing the Autoregulatory Behavior of Microvessels

Using Approximate Bayesian Computation to Calibrate the Model Parameters Characterizing the Autoregulatory Behavior of Microvessels

This study aims to leverage available experimental data on the myogenic and endothelial responses of the microvessels to calibrate the parameters and refine the functional form of the compliance feedback model. The experimental data used in this study trace the changes in the vessel calibre of individual arteriolar vessels in response to changes in the intraluminal pressure and/or the pressure gradient, which correspond to the myogenic and endothelial mechanisms, respectively. The compliance feedback model was previously developed to characterize the elastic and autoregulatory behavior of microvessels. We devise and employ a two-stage sequential Monte Carlo (MC) approximate Bayesian computation (ABC) scheme to obtain the posterior distribution of the model's parameters, such that the final parameter space distribution integrates information from any prior knowledge of the parameters, the model dynamics, and the available experimental data. Furthermore, the calibration scheme provides key insights into the underlying mechanistic features of the dynamical system; namely, the ABC scheme reveals that there is a marked difference in the time constants between the myogenic-induced dilation and constriction. Overall, upon parameter calibration, the computationally low-cost compliance feedback model achieves very good agreement with the experimental measurements, despite limited data availability, demonstrating that the model provides a simple, compact, yet robust and physiologically grounded characterization of the autoregulatory response, all of which are essential attributes to increase the translatability of hemodynamic models into the clinical environment for future clinical applications.

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来源期刊
International Journal for Numerical Methods in Biomedical Engineering
International Journal for Numerical Methods in Biomedical Engineering ENGINEERING, BIOMEDICAL-MATHEMATICAL & COMPUTATIONAL BIOLOGY
CiteScore
4.50
自引率
9.50%
发文量
103
审稿时长
3 months
期刊介绍: All differential equation based models for biomedical applications and their novel solutions (using either established numerical methods such as finite difference, finite element and finite volume methods or new numerical methods) are within the scope of this journal. Manuscripts with experimental and analytical themes are also welcome if a component of the paper deals with numerical methods. Special cases that may not involve differential equations such as image processing, meshing and artificial intelligence are within the scope. Any research that is broadly linked to the wellbeing of the human body, either directly or indirectly, is also within the scope of this journal.
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