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    Anna Guan

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Anna Guan

Overview

Anna is a sessional academic in Mathematics and a PhD candidate in School of Science.

Overview of thesis

Title: Mathematical Modelling of Optical Coherence Tomography and Solution of the Inverse Scattering Problem

Optical coherence tomography (OCT) is a non-invasive high-resolution imaging technology. It utilises the coherence property of light to visualise biological tissue cross-sections and produce A-scans. A-scans contain numerous peaks which are associated with tissue layer interfaces. The process of inferring tissue structure from an A-scan is known as the inverse scattering problem.

There are two stages to mathematically model the OCT inverse scattering problem. The first stage is to establish an OCT model as a means to simulate the A-scan of a known tissue structure. The second stage is to develop an efficient algorithm to infer the tissue structure from the A-scan. Solving the inverse scatting problem is about establishing an algorithm to systematically search the space of feasible optical properties of the sample to best fit the available A-scan, thus inferring the tissue structure.

Current Teaching

  • UPU0006 Essential Mathematics (Lecturing)
  • MAT1251 Mathematics 2
  • TCU140 Introductory Applied Mathematics

Past Teaching

  • MAT2437 Differential Equations (Lecturing)
  • MAT1114 Introductory to Statistics
  • MAT1163 Linear Algebra
  • MAT1184 Problem Solving and Modelling

Qualifications:

  • Bachelor of Science (First Class Honours) at Edith Cowan University - 2016
  • Bachelor of Science, majoring in Mathematics and Computer Science at Edith Cowan University – 2015

Professional Memberships

  • 2017 – Golden Key International Honour Society (Member)
  • 2014 – Mathematics Consultative Committee, Edith Cowan University (Student Representative)

Awards and Recognition

National and International Awards

  • 2014 – Blakers Mathematics Competition Year 3 Prize by University of Western Australia

National and International Research Positions

  • 2015 – Research Intern at the Pawsey Supercomputing Research Centre

Research Areas and Interests

  • Mathematical Modelling
  • Applied Mathematics
  • Optimisation

Conference Publications/ Presentations

  • Guan, A., Richardson, S. and Hinckley, S., Light source function effects on optical coherence tomography A-scans, Oral presentation at ANZCOP Biophotonics Australasia 2019, Melbourne VIC, Australia.
  • Guan, A., Richardson, S. and Hinckley, S., OCT Modelling Incorporating Absorption and Scattering, Poster presentation at AIP Congress 2018, Perth WA, Australia.

Supervisors

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