Katerina Kaouri

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Reader & Director for Impact and Engagement

Cardiff University
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United Kingdom

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Katerina Kaouri

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Cardiff University

Fully Funded PhD in Mathematical Modelling, Calcium Signalling and IVF at Cardiff University

Fully funded PhD studentship at Cardiff University in mathematical modelling , calcium signalling , IVF , and computational biology . The project is titled “Decoding calcium signalling during fertilization: a data-driven mathematical modelling framework for a non-invasive IVF diagnostic tool” and will combine mathematical modelling, computational methods, and experimental imaging data to study how calcium signals during fertilization relate to subtle movements of the egg. The aim is to test whether non-invasive measurements can predict embryo viability on Day 1 and support improved embryo selection and IVF success rates. The studentship is four years long and is funded by the MRC . It is open to UK and international applicants . Training will include mathematical modelling, scientific programming, statistical inference, image analysis, and quantitative biology, with close collaboration with experimental scientists. Supervisory team: Katerina Kaouri (Cardiff University), Professor Krasimira Tsaneva-Atanasova (University of Exeter), Dr Cameron Hall (University of Bristol), and Professor Karl Swann (Cardiff University). Ideal applicants should have a strong quantitative background in mathematics, applied mathematics, physics, engineering, computer science, or a closely related discipline. Experience or interest in mathematical modelling, scientific programming, data analysis, or computational biology is especially valuable. Application deadline: 21 October 2026, 5 pm . Use the project/application link for full details and submit through the linked page. Informal enquiries can be sent to [email protected] .

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Predicting the spatio-temporal infection risk in indoor spaces using an efficient airborne transmission model

We develop a spatially dependent generalization to the Wells–Riley model, which determines the infection risk due to airborne transmission of viruses. We assume that the infectious aerosol concentration is governed by an advection–diffusion–reaction equation with the aerosols advected by airflow, diffused due to turbulence, emitted by infected people, and removed due to ventilation, inactivation of the virus and gravitational settling. We consider one asymptomatic or presymptomatic infectious person breathing or talking, with or without a mask, and model a quasi-three-dimensional set-up that incorporates a recirculating air-conditioning flow. We derive a semi-analytic solution that enables fast simulations and compare our predictions to three real-life case studies—a courtroom, a restaurant, and a hospital ward—demonstrating good agreement. We then generate predictions for the concentration and the infection risk in a classroom, for four different ventilation settings. We quantify the significant reduction in the concentration and the infection risk as ventilation improves, and derive appropriate power laws. The model can be easily updated for different parameter values and can be used to make predictions on the expected time taken to become infected, for any location, emission rate, and ventilation level. The results have direct applicability in mitigating the spread of the COVID-19 pandemic.

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2022

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