Novel Topological Approaches to Positron Imaging and Medical Physics

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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.