Novel Topological Approaches to Positron Imaging and Medical Physics

我的博士项目名为“正电子成像和医学物理的新拓扑方法”，重点是使用基于拓扑的技术开发正电子成像和医学物理的创新方法。该项目的主要目标是开发一种基于拓扑的正电子发射粒子跟踪算法，称为TopoloPEPT。该算法将提高正电子跟踪和示踪剂轨迹重建的精度和效率。TopoloPEPT将采用拓扑方法分析正电子成像产生的复杂和高维数据，从而更好地了解粒子过程，该项目还将涉及将拓扑数据分析应用于医学领域，如结构磁共振扫描，以利用拓扑统计来识别疾病。TDA将有助于开发分析和可视化医疗数据的新方法，从而更准确和精确地诊断癌症和神经退行性疾病等疾病。此外，该项目还将探索TDA在航空航天和工程等工业领域的应用，以改善工业流程。在罗尔斯·罗伊斯的实习将提供机会，将通过该项目开发的技能应用于现实世界的用例，提高发动机性能和可靠性。博士项目还将涉及验证模拟系统，如计算流体动力学和使用TopoloPEPT的离散元方法。该算法验证模拟系统的能力将提高这些模拟的准确性和可靠性，从而更好地预测物理系统的行为。总之，“正电子成像和医学物理的新拓扑方法”项目旨在开发创新的方法和算法，利用基于拓扑的技术进行正电子成像和医学物理。该项目将涉及开发TopoloPEPT，将TDA应用于医疗领域和工业用途，验证模拟系统，并与劳斯莱斯等工业合作伙伴合作。该项目将有助于开发可应用于医疗和工业环境的新工具和方法，从而显著改善医疗保健和工业流程。

My PhD project titled "Novel Topological Approaches to Positron Imaging and Medical Physics" focuses on developing innovative approaches for positron imaging and medical physics using topology-based techniques. The project's primary objective is to develop a topology-based Positron Emission Particle Tracking algorithm called TopoloPEPT. This algorithm will improve the accuracy and efficiency of positron tracking and reconstruction of tracer trajectories. TopoloPEPT will employ topological methods to analyse the complex and high-dimensional data generated by positron imaging, leading to a better understanding of particulate processes.The project will also involve applying topological data analysis (TDA) to medical fields, such as structural MRI scans, to identify diseases using topological statistics. TDA will enable the development of novel methods for analysing and visualising medical data, leading to more accurate and precise diagnoses of diseases such as cancer and neurodegenerative disorders.Moreover, the project will explore the application of TDA to industrial fields, such as aerospace and engineering, to improve industrial processes. The internships with Rolls Royce will provide opportunities to apply the skills developed through the project to real-world use cases, improving engine performance and reliability.The PhD project will also involve validating simulation systems such as computational fluid dynamics and the discrete element method using TopoloPEPT. The algorithm's ability to validate simulation systems will improve the accuracy and reliability of these simulations, leading to better predictions of physical systems' behaviour.In summary, the "Novel Topological Approaches to Positron Imaging and Medical Physics" project aims to develop innovative methods and algorithms that leverage topology-based techniques for positron imaging and medical physics. The project will involve developing TopoloPEPT, applying TDA to medical fields and industrial uses, validating simulation systems, and working with industrial partners such as Rolls Royce. This project will contribute to the development of new tools and approaches that can be applied in both medical and industrial contexts, leading to significant improvements in healthcare and industrial processes.