Mathematical Sciences: Mathematical Models in Cell and Development Biology

数学科学：细胞和发育生物学中的数学模型

• 批准号: 8618975
• 负责人: George Oster
• 金额: $ 18.42万
• 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: 1987
• 资助国家: 美国
• 起止时间: 1987-05-15 至 1993-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8618975&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Models; Cell; Development

This project involves various studies on developing analytical models for cellular and developmental processes in biology. The main goal of this research is to explain pattern formation in developing cell populations as mechanical-chemical phenomena that can subsequently be formulated as mathematical models involving partial differential equations and finite difference equations. In earlier work of this type the investigator relied on the linear stability analysis. He now proposes to use nonlinear reaction-diffusion type models, and plans to use computation and simulation. The questions that will be addressed include: 1. What are the mechanochemical mechanisms underlying epithelial folding during embryogenesis? 2. How are spatial patterns of mesenchymal cell aggregation established? 3. What is the mechanochemical mechanism underlying cell motion? 4. How are the patterns on mollusk shells and butterfly wings laid down? The project falls in the general broad area of mathematical modeling of biological phenomena and as such is of interdisciplinary nature. The tools used is this research include laboratory experiments, mathematical analysis and computing. The investigator is a well established respected senior researcher with an outstanding track record.

这个项目涉及为生物学中的细胞和发育过程开发分析模型的各种研究。这项研究的主要目的是将发育中的细胞群体的模式形成解释为机械-化学现象，随后可以用涉及偏微分方程组和有限差分方程组的数学模型来表示。在这种类型的早期工作中，调查者依赖于线性稳定性分析。他现在建议使用非线性反应扩散类型的模型，并计划使用计算和模拟。将解决的问题包括：1.胚胎发育过程中上皮折叠的机械力化学机制？2.间充质细胞聚集的空间模式是如何建立的？3.细胞运动背后的机械力化学机制是什么？4.软体动物贝壳和蝴蝶翅膀上的图案是如何形成的？该项目属于生物现象数学建模的一般广泛领域，因此具有跨学科性质。本研究使用的工具包括实验室实验、数学分析和计算。这位调查员是一位久负盛名、备受尊敬的高级研究员，有着出色的记录。