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CDS&E-MSS: Geometric and Statistical Foundations for Modeling Cell Shapes

CDS

基本信息

批准号：
1854779
负责人：
Lizhen Lin
金额：
$ 28.79万
依托单位：
University of Notre Dame
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2019
资助国家：
美国
起止时间：
2019-07-15 至 2023-06-30
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1854779&HistoricalAwards=false
关键词：
CDS&E MSS Geometric Statistical Foundations

项目摘要

The project aims to develop new mathematical and statistical tools for studying cell shapes by combining knowledge from several fields such as mathematics, statistics and biology. It concerns an integrated research and education program at the forefront of these fields. The project will use combined mathematical and statistical modeling and simulation to learn underlying the mechanisms of cell morphology. Incorporating this valuable information of cell shapes into analysis can lead to new discoveries of cell functions and has the potential of advancing new understanding of the underlying biological processes such as cell morphology, which is very important for example in understanding cancer mechanisms. The award will provide support of graduate student training through research.The main goal of the project is to develop new geometric and statistical framework that allows practitioners to incorporate valuable information of cell shapes into analysis. Geometric foundations will be first developed by characterizing both the intrinsic and extrinsic geometry of the space of cell shapes (the cell shape space). Next we will develop a new suite of statistical models and tools for cell shape analysis that can appropriately incorporate the geometry of the cell shape space. A new mathematical model for studying morphology of cells by geometric evolution equations will be proposed. Another key theme of our research is to combine mathematical modeling with statistical inference to form a systematic approach for cell studies. We will use statistics for mathematical model validation and refinements, and employ data simulated from the refined mathematical model for statistical model validations. The developed methods will be applied to an important study on the role of RBCs (red blood cells) morphology during the formation of blood clots.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.

该项目旨在通过结合数学、统计学和生物学等多个领域的知识，开发新的数学和统计工具来研究细胞形状。它涉及这些领域前沿的综合研究和教育计划。该项目将结合数学和统计建模和模拟来了解细胞形态的潜在机制。将这些有价值的细胞形状信息纳入分析可以导致细胞功能的新发现，并有可能推进对潜在生物学过程（如细胞形态）的新理解，这对于理解癌症机制非常重要。该奖项将通过研究为研究生培训提供支持。该项目的主要目标是开发新的几何和统计框架，使从业者能够将有价值的细胞形状信息纳入分析。几何基础将首先通过描述细胞形状空间（细胞形状空间）的内在和外在几何来发展。接下来，我们将开发一套新的统计模型和工具，用于细胞形状分析，可以适当地结合细胞形状空间的几何形状。提出了一种用几何演化方程研究细胞形态的新数学模型。我们研究的另一个关键主题是将数学建模与统计推断结合起来，形成细胞研究的系统方法。我们将使用统计数据对数学模型进行验证和改进，并使用从改进的数学模型中模拟的数据进行统计模型验证。所开发的方法将应用于红细胞形态在血栓形成过程中的重要研究。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。