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Development of Mathematical Methods for Next Generation Stent Design

下一代支架设计数学方法的开发

基本信息

批准号：
1853340
负责人：
Suncica Canic
金额：
$ 30万
依托单位：
University of California-Berkeley
依托单位国家：
美国
项目类别：
Continuing Grant
财政年份：
2019
资助国家：
美国
起止时间：
2019-07-01 至 2023-06-30
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1853340&HistoricalAwards=false
关键词：
Development Mathematical Methods Next Generation

项目摘要

This project addresses a comprehensive development of mathematical methods for next generation stent design. Stents are mesh-like tubes which are used to prop diseased arteries open. Several generations of stents have been designed to date. The currently used stents are drug eluting stents, and new generations of bare metal stents. Despite the beneficial effects of stenting, persistent high rates of complications such as in-stent restenosis and late stent thrombosis call for novel approaches to stent design. Recent ideas based on nano-engineered stents seem to be particularly promising. They include: (1) nano-engineered stents, which are stents covered with nano-engineered surface that promotes accelerated restoration of functional endothelium and provides a drug-free approach to keeping stents patent long-term; and (2) ferromagnetic stents with magnet-enhanced nano-particle drug delivery of anti-thrombogenic drugs for improved arterial wall healing. This project will addresses the development of new mathematical methods to guide and aid the bioengineering design of next generation stents. The methods are based on partial differential equations, particle-base kinetic methods, and artificial intelligence-based optimization methods. The mathematical and computational results will be experimentally tested in the Therapeutic Microtechnology and Nanotechnology Lab at UCSF. Two students and a postdoc will be involved in the project, and topics from this research will be presented in a new, interdisciplinary class at UC Berkeley, cross-listed in three different departments (Mathematics, Bioengineering, and Mechanical Engineering). Special attention will be paid to organizing a Summer Workshop for High School Girls, and to promoting inclusion of women in STEM research.This project addresses the development of a unified platform for interdisciplinary, synergistic approaches to next generation stent design based on novel mathematical, computational, bioengineering, and experimental methods. The mathematical methods combine macro-scale and micro(nano)-scale approaches to the modeling of: (1) nanoengineered stents' surfaces covered with engineered nano-tube arrays; (2) ferromagnetic nano-particle drug delivery; (3) optimal design of stent's topology, geometry, and mechanical properties to minimize arterial tissue injury; and (4) design of coating strategies for drug-eluting stents. The mathematical models will be combined with high performance computing, and with experimental validation in the Therapeutic Microtechnology and Nanotechnology Lab at UCSF. The mathematical methods include a fluid-structure interaction model involving multi-layered poroelastic media to model arterial walls, a dimension reduction-based 1D hyperbolic net model describing stents' geometric and mechanical properties, and a ferromagnetic nano-particle fluid-structure interaction model. The computational methods will be based on a combination of Finite Element Method approximations of the macro-scale continuum models, and on Smoothed Particle Hydrodynamics approximations of the micro/nano-scale particle models. Uncertainty Quantification and Artificial Intelligence (Deep Neural Networks) will be used to study solution dependence on the parameters in the problem, and to study optimal stent design.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.

该项目解决了下一代支架设计数学方法的全面发展。支架是网状的管子，用来撑开病变的动脉。到目前为止，已经设计了几代支架。目前使用的支架有药物洗脱支架和新一代裸金属支架。尽管支架植入有良好的效果，但支架内再狭窄和晚期支架血栓形成等并发症的持续高发率要求采用新的支架设计方法。最近基于纳米工程支架的想法似乎特别有前途。它们包括：(1)纳米工程支架，它是覆盖有纳米工程表面的支架，促进功能内皮的加速恢复，并提供一种无药物的方法来长期保持支架的专利；(2)铁磁支架与磁性增强纳米颗粒药物递送抗血栓形成药物，以改善动脉壁愈合。该项目将致力于开发新的数学方法来指导和帮助下一代支架的生物工程设计。这些方法是基于偏微分方程、粒子基动力学方法和基于人工智能的优化方法。数学和计算结果将在加州大学旧金山分校的治疗微技术和纳米技术实验室进行实验测试。两名学生和一名博士后将参与该项目，该研究的主题将在加州大学伯克利分校的一个新的跨学科课程中提出，交叉列出三个不同的系（数学，生物工程和机械工程）。将特别关注为高中女生组织一个夏季讲习班，并促进妇女参与STEM研究。该项目致力于开发一个统一的平台，用于基于新颖的数学、计算、生物工程和实验方法的跨学科、协同方法的下一代支架设计。数学方法结合宏观尺度和微（纳米）尺度的方法来建模：(1)纳米工程支架表面覆盖工程纳米管阵列；(2)铁磁纳米颗粒给药；(3)优化支架的拓扑结构、几何结构和力学性能，最大限度地减少动脉组织损伤；(4)药物洗脱支架涂层策略设计。这些数学模型将与高性能计算相结合，并在加州大学旧金山分校的治疗微技术和纳米技术实验室进行实验验证。数学方法包括利用多层多孔弹性介质模拟动脉壁的流固耦合模型、基于降维的描述支架几何和力学性能的一维双曲网模型和铁磁纳米颗粒流固耦合模型。计算方法将基于宏观尺度连续体模型的有限元近似和微/纳米尺度颗粒模型的光滑颗粒流体动力学近似的结合。不确定性量化和人工智能（深度神经网络）将用于研究解决方案对问题中参数的依赖，并研究最优支架设计。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值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

期刊论文数量（15）

专著数量（0）

科研奖励数量（0）

会议论文数量（0）

专利数量（0）

Computational Mathematical Analysis Of Different Stent Geometries And Arterial Wall Response In Tortuous Coronary Artery

弯曲冠状动脉中不同支架几何形状和动脉壁反应的计算数学分析

DOI：
发表时间：
2019
期刊：
Circulation
影响因子：
37.8
作者：
Canic, Suncica;Wang, Yifan;Paniagua, David;Ramirez, Jonanlis;Paniagua, Lizy;Quezada, Raymundo;Jneid, Hani;Denktas, Ali;Paniagua, David
通讯作者：
Paniagua, David

Well-Posedness of Solutions to Stochastic Fluid–Structure Interaction