Microlocal Analysis - A Unified Approach for Geometric Models in Biology

微局部分析 - 生物学中几何模型的统一方法

• 批准号: DP220101808
• 负责人: Dr Justin Tzou
• 金额: $ 29.13万
• 依托单位: Macquarie University
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2023
• 资助国家: 澳大利亚
• 起止时间: 2023-03-01 至 2025-02-28
• 项目状态: 未结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP220101808
• 关键词: Microlocal; Analysis; Unified; Approach; Geometric

This project will use microlocal analysis to create a unified approach for predicting the outcome of a broad class of diffusion and reaction-diffusion models. This will replace the traditional theory which is no longer adequate for the level of geometric complexity demanded of current models arising in biology/ecology. This project will address the urgent need for a systematic theoretical underpinning of diffusion/reaction-diffusion in geometric settings whose scope of application is broader than the the existing patchwork of methods.

该项目将使用微观局部分析来创建一种统一的方法来预测广泛类别的扩散和反应-扩散模型的结果。这将取代传统的理论，传统的理论不再适合生物学/生态学中出现的当前模型所要求的几何复杂性水平。该项目将解决在几何环境中扩散/反应-扩散的系统理论基础的迫切需要，其应用范围比现有的拼凑方法更广泛。