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Complex Amphiphilic Structures and the Functionality of Biomaterials

复杂的两亲结构和生物材料的功能

基本信息

批准号：
1815746
负责人：
Shibin Dai
金额：
$ 21.71万
依托单位：
University of Alabama Tuscaloosa
依托单位国家：
美国
项目类别：
Continuing Grant
财政年份：
2018
资助国家：
美国
起止时间：
2018-08-01 至 2023-07-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1815746&HistoricalAwards=false
关键词：
Complex Amphiphilic Structures Functionality Biomaterials

项目摘要

Complex amphiphilic structures are closely related to phase transitions, materials science, and mathematical biology. This project concentrates on the influence of nanoparticles, proteins and hydrophobic surfaces on the morphology of amphiphilic structures. This research greatly advances the understanding of the functionality of nanoparticles, bio-inspired materials, and biological membranes. It helps us understand essential processes like protein transportation, drug encapsulation, and drug delivery. It also provides new methods and techniques for the modeling and analysis of properties of other complex structures in polymeric materials. The educational activities include the supervision and training of graduate research. The educational goal is for graduate students to be trained in mathematical modeling, and in the analysis and numerical simulation of partial differential equations.This research project concentrates on interdisciplinary research that combines applied mathematics and science, technology, and engineering. The PI is an applied mathematician, and the co-PI is a chemical experimentalist. The investigators model the encapsulation of nanoparticles in bilayer liposomes and polymeric micelles, the coating of biomaterials by amphiphilic copolymers, and the change of morphology caused by proteins, in the framework of the functionalized Cahn-Hilliard (FCH) energy, coupled with proper strong and weak anchoring conditions. This new mathematical framework translates the materials system into nonlinear PDEs coupled with proper boundary conditions. It has wide applications in the modeling of other physical, materials and biological systems. The PIs apply existing and new mathematical tools for the study of nonlinear PDEs. These tools lie in three areas: asymptotic analysis, variational methods, and numerical simulations. They are very useful in the study of other problems in applied mathematics related to nonlinear PDEs.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.

复杂的两亲性结构与相变、材料科学和数学生物学密切相关。该项目集中于纳米颗粒、蛋白质和疏水表面对两亲性结构形态的影响。这项研究极大地推进了对纳米粒子、生物启发材料和生物膜功能的理解。它帮助我们了解蛋白质运输，药物封装和药物输送等基本过程。这也为高分子材料中其他复杂结构的建模和性能分析提供了新的方法和技术。教育活动包括研究生研究的监督和培训。本研究项目以培养数学建模、偏微分方程的解析和数值模拟等方面的研究生为目标，致力于应用数学与科学、技术、工程相结合的跨学科研究。PI是一个应用数学家，而co-PI是一个化学实验家。研究人员在功能化Cahn-Hilliard（FCH）能量的框架内，结合适当的强锚定条件和弱锚定条件，模拟了双层脂质体和聚合物胶束中纳米颗粒的包封，两亲性共聚物对生物材料的包覆，以及蛋白质引起的形态变化。这种新的数学框架将材料系统转化为具有适当边界条件的非线性偏微分方程。它在其他物理、材料和生物系统的建模中有着广泛的应用。PI应用现有的和新的数学工具的非线性偏微分方程的研究。这些工具包括三个方面：渐近分析、变分方法和数值模拟。该奖项反映了NSF的法定使命，并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，被认为值得支持。