Fractional dynamic models for MRI to probe tissue microstructure

MRI 探测组织微观结构的分数动态模型

• 批准号: DP190101889
• 负责人: Prof Fawang Liu
• 金额: $ 23.82万
• 依托单位: Queensland University of Technology
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2019
• 资助国家: 澳大利亚
• 起止时间: 2019-05-28 至 2023-05-26
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP190101889
• 关键词: Fractional; dynamic; models; MRI; probe

This project aims to develop new mathematical tools for mapping tissue microstructural properties via the use of space-time fractional calculus methods. In magnetic resonance imaging, mathematical models and their parameters play a key role in associating information between images and biology, with the overall aim of producing spatially resolved maps of tissue property variations. However, models which can inform on changes in microscale tissue properties are lacking. The tools developed by this project will be used to generate new magnetic resonance image based maps to convey information on tissue microstructure changes in the human brain. Additionally, the mathematical tools developed will be transferable to other applications where diffusion and transport in heterogeneous porous media play a role.

该项目旨在开发新的数学工具，用于通过使用时空分数微积分方法绘制组织微观结构特性。在磁共振成像中，数学模型及其参数在将图像和生物学信息相关联方面发挥着关键作用，总体目标是生成组织特性变化的空间分辨图。然而，缺乏可以告知微观组织特性变化的模型。该项目开发的工具将用于生成新的基于磁共振图像的地图，以传达有关人脑组织微观结构变化的信息。此外，开发的数学工具将转移到其他应用中的扩散和运输在非均质多孔介质中发挥作用。