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，以促进对心血管系统中血液循环的了解，从大动脉到嵌入组织中的小血管。这与数百万患有青光眼的人尤其相关，青光眼是一种进行性退行性眼部疾病，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能会给25%以上的青光眼患者带来新的希望，这些患者尽管接受了治疗，但仍继续进展为失明。该项目将在广大受众中培养科学素养，并使下一代STEM学生多样化。本科生和研究生将由研究人员在这个项目的理论和应用两个方面进行指导。研究人员将在《眼睛：我们身体的一扇窗》上举办虚拟峰会，以培养北卡罗来纳州和密苏里州高中水平的女性和未被充分代表的少数族裔对数学研究和数学相关职业的兴趣。研究计划专注于组织灌流模型的分析和控制，这是一种局部现象，研究与周围血液循环的全球特征相关。这些模型涉及偏微分方程组(含有不可压缩组分的准线性Biot模型，渗透率与膨胀呈非线性关系)和常微分方程组(描述流体在血管网络中流动的非线性系统)之间的多尺度界面耦合。本研究将应用数学与计算数学相结合，运用分析与控制理论、数值分析、非凸优化、灵敏度分析等方法，研究局部因素和全局特征对系统解的影响。在青光眼的应用中，这项研究将阐明眼压(局部因素)和血压(全局或全身性特征)在确保充足的眼部血液流动方面所发挥的作用，从而促进共同调节眼压和血压的新治疗方法的发展，这可能会对许多青光眼患者有所帮助。该奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

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