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Computational Retinal Hemodynamics

计算视网膜血流动力学

基本信息

批准号：
2012424
负责人：
Shravan Veerapaneni
金额：
$ 28.26万
依托单位：
Regents of the University of Michigan - Ann Arbor
依托单位国家：
美国
项目类别：
Continuing Grant
财政年份：
2020
资助国家：
美国
起止时间：
2020-09-01 至 2023-08-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=2012424&HistoricalAwards=false
关键词：
Computational Retinal Hemodynamics

项目摘要

Blood flow in the retina, also termed retinal hemodynamics, has long been known to be affected by glaucoma, a neurodegenerative condition that is the leading cause of irreversible but preventable blindness. Alterations in retinal hemodynamics are also indicators of several other disease pathologies, including systemic diseases such as hypertension and diabetes. Consequently, numerous imaging modalities have been developed to non-invasively measure hemodynamic parameters in the retina. Examples include color Doppler imaging, laser Doppler flowmetry, optical coherence tomography, and fundus photography. While hemodynamic analysis via imaging has been available for more than a century, the advent of high-resolution retinal images combined with novel automated annotation techniques created the need for accurate numerical simulations of blood flow through retinal microvasculature. The primary goal of this project is to develop stable, high-accuracy, optimal algorithms for direct numerical simulation of particulate blood flow through patient-specific arterial graphs. The project provides training for graduate students through involvement in the research.This project addresses two computational bottlenecks that arise in large-scale simulations of particulate flows using boundary integral methods. First, a new high-order nearly-singular integration scheme in three dimensions using concepts from exterior calculus and harmonic polynomial approximations will be developed. The appealing feature of these schemes will be that they work directly on user-supplied boundary meshes (e.g., triangulated arterial graphs). If smooth line integrals on the given meshes can be evaluated to high accuracy, then singular and nearly singular integrals can both be computed to high accuracy. This contrasts with existing methods, which often require pre-processing. Second, to improve the robustness and accuracy of simulations without imposing excessive constraints on mesh sizes, complementarity constraint based contact resolution techniques will be developed. While the primary focus of this project is on simulating retinal hemodynamics, the computational methods under development will be applicable to more general microscale particulate flow, including flows of droplets, bacteria, and colloids.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.

视网膜中的血流，也称为视网膜血流动力学，长期以来一直被认为受到青光眼的影响，青光眼是一种神经退行性疾病，是不可逆但可预防的失明的主要原因。视网膜血流动力学的改变也是几种其他疾病病理学的指标，包括全身性疾病，如高血压和糖尿病。因此，已经开发了许多成像方式来非侵入性地测量视网膜中的血液动力学参数。实例包括彩色多普勒成像、激光多普勒血流仪、光学相干断层扫描和眼底照相。虽然通过成像进行血液动力学分析已经有超过世纪的历史，但高分辨率视网膜图像与新型自动注释技术相结合的出现产生了对通过视网膜微血管的血流的精确数值模拟的需求。该项目的主要目标是开发稳定的，高精度的，最佳的算法，通过患者特定的动脉图直接数值模拟颗粒血流。该项目通过参与研究为研究生提供培训。该项目解决了使用边界积分方法进行大规模颗粒流模拟时出现的两个计算瓶颈。首先，一个新的高阶近奇异积分计划在三维空间中使用的概念，从外部微积分和谐波多项式近似将被开发。这些方案的吸引人的特征将是它们直接作用于用户提供的边界网格（例如，三角形动脉图）。如果给定网格上的光滑线积分可以高精度地计算，那么奇异积分和近似奇异积分都可以高精度地计算。这与通常需要预处理的现有方法形成对比。其次，为了提高模拟的鲁棒性和准确性，而不施加过多的约束网格尺寸，互补约束为基础的接触解决技术将被开发。虽然该项目的主要重点是模拟视网膜血流动力学，但正在开发的计算方法将适用于更一般的微尺度颗粒流，包括液滴，细菌和胶体的流动。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来支持。