Collaborative Research: Analysis and Control in Multi-Scale Interface Coupling between Deformable Porous Media and Lumped Hydraulic Circuits

合作研究：可变形多孔介质与集总液压回路多尺度界面耦合分析与控制

• 批准号: 2108665
• 负责人: Giovanna Guidoboni
• 金额: $ 25万
• 依托单位: University of Missouri-Columbia
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2021
• 资助国家: 美国
• 起止时间: 2021-08-15 至 2023-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2108665&HistoricalAwards=false
• 关键词: Collaborative; Research; Analysis; Control; Multi

This project will develop theoretical and computational techniques to advance understanding of the circulation of blood in the cardiovascular system, from large arteries to small vessels embedded within the tissues. This is particularly relevant for the millions of people who suffer from glaucoma, a progressive degenerative disease of the eye that leads to irreversible vision loss; understanding the role of hemodynamic factors could bring new hope to the more than 25% of glaucoma patients who continue to progress to blindness despite medical treatment. The project will cultivate science literacy among a broad audience and diversify the next generation of STEM students. Undergraduate and graduate students will be mentored by the investigators on both the theoretical and applied aspects of this project. The investigators will run Virtual Summits on “The Eye: A Window into Our Body” to build interest in mathematics research and mathematics-related careers among women and underrepresented minorities at the high school level in North Carolina and Missouri.The research program is focused on analysis and control in models of the perfusion of a tissue, a local phenomenon studied in correlation with the global features of the surrounding blood circulation. The models involve multi-scale interface coupling between partial differential equations (quasi-linear Biot model with incompressible constituents and permeability nonlinearly depending on dilation) and ordinary differential equations (nonlinear system describing fluid flow through a vascular network). The research will bridge applied and computational mathematics and apply methods from analysis and control theory, numerical analysis, non-convex optimization, and sensitivity analysis to study how local factors and global features affect the solution of the system. In the application to glaucoma, the study will elucidate the roles played by intraocular pressure (local factor) and blood pressure (global, or systemic, feature) in securing adequate blood flow to the eye, thereby facilitating the development of novel therapeutic approaches coregulating intraocular pressure and blood pressure that could potentially help many glaucoma patients.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该项目将开发理论和计算技术，以增进对心血管系统血液循环（从大动脉到嵌入组织内的小血管）的了解。这对于数百万患有青光眼的人来说尤其重要，青光眼是一种进行性眼部退行性疾病，会导致不可逆转的视力丧失；了解血流动力学因素的作用可以为超过 25% 的青光眼患者带来新的希望，这些患者尽管接受了治疗，但仍继续进展至失明。该项目将培养广大受众的科学素养，并使下一代 STEM 学生多样化。研究人员将在该项目的理论和应用方面对本科生和研究生进行指导。研究人员将举办“眼睛：进入我们身体的窗口”虚拟峰会，以培养北卡罗来纳州和密苏里州高中女性和代表性不足的少数族裔对数学研究和数学相关职业的兴趣。该研究项目的重点是组织灌注模型的分析和控制，组织灌注是一种与周围血液循环的全球特征相关的局部现象。这些模型涉及偏微分方程（具有不可压缩成分和非线性地依赖于膨胀的渗透率的准线性毕奥模型）和常微分方程（描述流经血管网络的流体流动的非线性系统）之间的多尺度界面耦合。该研究将连接应用数学和计算数学，并应用分析与控制理论、数值分析、非凸优化和敏感性分析等方法来研究局部因素和全局特征如何影响系统的求解。在青光眼的应用中，该研究将阐明眼内压（局部因素）和血压（整体或全身特征）在确保眼睛有足够血流方面所发挥的作用，从而促进共同调节眼内压和血压的新型治疗方法的开发，这可能会帮助许多青光眼患者。该奖项反映了 NSF 的法定使命，并被认为值得通过 使用基金会的智力价值和更广泛的影响审查标准进行评估。

项目成果

Analysis of vessel tortuosity and its impact on hemodynamics in retinopathy of prematurity

早产儿视网膜病变血管迂曲度及其对血流动力学的影响分析

• 发表时间: 2023
• 期刊: Investigative ophthalmology visual science
• 作者: Koogler, B;Young, B;Campbell, JP;Guidoboni, G
• 通讯作者: Guidoboni, G

Physiology-enhanced transfer learning discovers combinations of intraocular pressure and blood pressure associated with structural biomarkers of glaucoma eyes in a population-based study

在一项基于人群的研究中，生理学增强的迁移学习发现了与青光眼结构生物标志物相关的眼压和血压的组合

• 发表时间: 2023
• 期刊: Investigative ophthalmology visual science
• 作者: Guidoboni, G;Zou, D;Wikle, C;Keller, J;Antman, G;Siesky, B;Verticchio, A;Topouzis, F;Harris, A
• 通讯作者: Harris, A

The impact of reduced left ventricular contractility on retinal perfusion

左心室收缩力降低对视网膜灌注的影响

• 发表时间: 2023
• 期刊: Investigative ophthalmology visual science
• 作者: Chang, M;Harris, A;Zaid, M;Sala, L;Szopos, M;Lapin, S;Kuvin, J;Ciulla, T;Pasquale, L;Wirostko, B
• 通讯作者: Wirostko, B

Cluster stability and its relationship to blood pressure, intraocular pressure and hemodynamic variables in the human retina

人类视网膜中的簇稳定性及其与血压、眼压和血流动力学变量的关系

• 发表时间: 2023
• 期刊: Investigative ophthalmology visual science
• 作者: Zou, D;Keller, J;Harris, A;Guidoboni, G
• 通讯作者: Guidoboni, G

Numerical simulation and analysis of multiscale interface coupling between a poroelastic medium and a lumped hydraulic circuit: Comparison between functional iteration and operator splitting methods

多孔弹性介质与集总液压回路之间多尺度界面耦合的数值模拟与分析：函数迭代与算子分裂方法的比较

• DOI: 10.1016/j.jcp.2022.111379
• 发表时间: 2022
• 期刊: Journal of Computational Physics
• 影响因子: 4.1
• 作者: Bociu, Lorena;Guidoboni, Giovanna;Sacco, Riccardo;Prada, Daniele
• 通讯作者: Prada, Daniele