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Computational Modelling of the Retinal Microcirculation to Predict Patient Outcomes

Funding
Self-funded
Study mode
Full-time
Apply by
Year round
Start date
Year round
Subject area
Mathematics
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Overview

Age-related macular degeneration (AMD) is the leading cause of blindness globally. Current treatments involve the injection of anti-vascular endothelial growth factor. However, many individuals do not respond to treatment, with regular visits required placing a large burden on healthcare systems and patients. The longitudinal follow-up scans, however, provide a rich dataset to develop prediction tools to determine responders and non-responders and to tailor treatments.

About this opportunity

This project will use longitudinal patient data at the primary institute to develop digital twins of the retinal microcirculation for individual patients. These computational twins will be used to help predict outcomes of treatment and cardiovascular adverse events.

Objectives

WP1: Curating an AMD patient dataset

As part of an ongoing study at the primary institution, the PhD candidate will attend the University hospital to extract AMD patient data and link it to their retinal scans. There are 400 eyes currently recruited into the study, hence this first work package will expand this number and connect the patient scans to the electronic health records.

WP2: Developing a Digital Twin pipeline

Building on previous work in generating retinal vascular computational simulations, the candidate will develop a pipeline that uses patient scans, segments the vasculature, and recreates that patients’ retinal morphology on a computer (a digital twin). Blood flow and oxygen transport simulations will be conducted to extract in silico biomarkers that are not readily available in vivo. Longitudinal patient scans will be used to update the patient digital twin.

WP3: Predictions with the Digital Twin

The digital twin, along with patient data from the electronic health record, will be used to predict treatment to response and any cardiovascular adverse events for a patient. This will be done with a multi-modal machine learning model incorporating patient data, patient scans, and the in silico biomarkers from the digital twin.

Novelty

The novelty of this project lies in the use of in silico modelling and longitudinal clinical data to build digital twins to provide personalised dynamic risk prediction for individuals.

Timeliness

The eye is a window to vascular health. With an increasing multi-morbid and ageing population, developing digital twins to predict outcomes will improve risk prediction and health outcomes.

Experimental Approach

This PhD incorporates image and patient data analysis, deep learning, mathematical modelling, and software development.

The work to be undertaken will be conducted at the Department of Cardiovascular and Metabolic Medicine, the Department of Eye and Vision Sciences, and the Liverpool Centre for Cardiovascular Science as a collaboration between biomedical engineers (Dr El-Bouri), deep learning specialists (Prof. Zheng) and clinical experts in diabetes and ophthalmology (Dr Alam, Dr Madhusudhan).

Further reading

Hernandez, Rémi J., Savita Madhusudhan, Yalin Zheng, and Wahbi K. El-Bouri. “Linking Vascular Structure and Function: Image-Based Virtual Populations of the Retina.” Investigative Ophthalmology & Visual Science 65, no. 4 (April 1, 2024): 40–40. https://doi.org/10.1167/IOVS.65.4.40.

Hernandez, Rémi J, and Wahbi K El-Bouri. “Microvascular Retinal Digital Twins from Non-Invasive Clinical Images” edited by Lei Li, Viktor Jirsa, Jianfeng Feng, Jun Deng, Luca Dede’, Sora An, Yilin Lyu, and Xiaoyue Liu, 12–22. Cham: Springer Nature Switzerland, 2026.

Hernandez, Rémi J, Paul A Roberts, and Wahbi K El-Bouri. “Advancing Treatment of Retinal Disease through in Silico Trials.” Progress in Biomedical Engineering 5, no. 2 (2023): 22002. https://doi.org/10.1088/2516-1091/acc8a9.

Hernandez, Rémi J., Wahbi K. El-Bouri, Savita Madhusudhan, and Yalin Zheng. “AI and the Eye – Integrating Deep Learning and in Silico Simulations to Optimise Diagnosis and Treatment of Wet Macular Degeneration.” MedRxiv, February 14, 2024, 2024.02.13.23299445. https://doi.org/10.1101/2024.02.13.23299445.

Brown, Emmeline E., Andrew A. Guy, Natalie A. Holroyd, Paul W. Sweeney, Lucie Gourmet, Hannah Coleman, Claire Walsh, et al. “Physics-Informed Deep Generative Learning for Quantitative Assessment of the Retina.” Nature Communications 2024 15:1 15, no. 1 (August 10, 2024): 1–14. https://doi.org/10.1038/s41467-024-50911-y.

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Who is this for?

This project will ideally suit individuals with a at least a 2:1 in subjects related to applied mathematics, computer science, or engineering

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How to apply

  1. 1. Contact supervisors

    To apply e-mail your CV and cover letter to the main supervisor Dr Wahbi El-Bouri, w.el-bouri@liverpool.ac.uk

    Supervisors:

    Wahbi El-Bouri w.el-bouri@liverpool.ac.uk https://www.liverpool.ac.uk/people/wahbi-el-bouri
    Yalin Zheng yzheng@liverpool.ac.uk https://www.liverpool.ac.uk/people/yalin-zheng
    Uazman Alam ualam@liverpool.ac.uk https://www.liverpool.ac.uk/people/uazman-alam
    Savita Madhusudhan Savita.madhusudhan@liverpoolft.nhs.uk  
  2. 2. Prepare your application documents

    You may need the following documents to complete your online application:

    • A research proposal (this should cover the research you’d like to undertake)
    • University transcripts and degree certificates to date
    • Passport details (international applicants only)
    • English language certificates (international applicants only)
    • A personal statement
    • A curriculum vitae (CV)
    • Contact details for two proposed supervisors
    • Names and contact details of two referees.
  3. 3. Apply

    Finally, register and apply online. You'll receive an email acknowledgment once you've submitted your application. We'll be in touch with further details about what happens next.

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Fees and funding

Your tuition fees, funding your studies, and other costs to consider.

Tuition fees

UK fees (applies to Channel Islands, Isle of Man and Republic of Ireland)

Full-time place, per year - £5,006

International fees

Full-time place, per year - £31,250

Fees stated are for 2025/26 academic year


Additional costs

We understand that budgeting for your time at university is important, and we want to make sure you understand any costs that are not covered by your tuition fee. This could include buying a laptop, books, or stationery.

Find out more about the additional study costs that may apply to this project, as well as general student living costs.


Funding your PhD

If you're a UK national, or have settled status in the UK, you may be eligible to apply for a Postgraduate Doctoral Loan worth up to £30,301 to help with course fees and living costs.

There’s also a variety of alternative sources of funding. These include funded research opportunities and financial support from UK research councils, charities and trusts. Your supervisor may be able to help you secure funding.


We've set the country or region your qualifications are from as United Kingdom.

Scholarships and bursaries

We offer a range of scholarships and bursaries that could help pay your tuition fees and living expenses.

Duncan Norman Research Scholarship

If you’re awarded this prestigious scholarship, you’ll receive significant funding to support your postgraduate research. This includes full payment of your PhD fees and a cash bursary of £17,000 per year while you study. One award is available in each academic year.

John Lennon Memorial Scholarship

If you’re a UK student, either born in or with strong family connections to Merseyside, you could be eligible to apply for financial support worth up to £12,000 per year for up to three years of full-time postgraduate research (or up to five years part-time pro-rata).

Sport Liverpool Performance Programme

Apply to receive tailored training support to enhance your sporting performance. Our athlete support package includes a range of benefits, from bespoke strength and conditioning training to physiotherapy sessions and one-to-one nutritional advice.

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Contact us

Have a question about this research opportunity or studying a PhD with us? Please get in touch with us, using the contact details below, and we’ll be happy to assist you.

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