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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.

该项目致力于为下一代支架设计全面发展数学方法。支架是一种网状管，用来支撑病变的动脉开放。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。尽管支架植入术有很好的效果，但支架内再狭窄和晚期支架血栓等并发症的发生率持续较高，这就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希望。它们包括：(1)纳米工程支架，即覆盖有纳米工程表面的支架，促进功能性内皮的加速恢复，并提供一种使支架长期保持专利的无药物方法；以及(2)具有磁性增强的纳米颗粒药物输送的铁磁性支架，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组、基于粒子的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这个项目，这项研究的主题将在加州大学伯克利分校一个新的跨学科课程中展示，该课程交叉列出了三个不同的系(数学、生物工程和机械工程)。将特别注意为高中女生组织夏季研讨会，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，用于基于新的数学、计算、生物工程和实验方法的下一代支架设计的跨学科、协同方法。这些数学方法结合了宏观和微观(纳米)尺度的方法来建模：(1)纳米工程支架表面覆盖着工程纳米管阵列；(2)铁磁性纳米颗粒药物输送；(3)支架的拓扑、几何形状和机械性能的优化设计，以将动脉组织损伤降至最低；以及(4)药物洗脱支架的涂层策略设计。数学模型将与高性能计算相结合，并与加州大学旧金山分校治疗微技术和纳米技术实验室的实验验证相结合。数学方法包括用于模拟动脉壁的多层多孔弹性介质的流固耦合模型、描述支架几何和力学性质的基于降维的一维双曲线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介质模型的有限元近似和微/纳米尺度颗粒模型的平滑粒子流体力学近似。不确定性量化和人工智能(深度神经网络)将被用来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

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