Research

PhD Project at UCL Mathematics Department, London, UK (supervised by Dr Philip Pearce and Dr Thomas Michaels)
September 2021 — Present

Abstract: Despite decades of work on elucidating the mechanisms of HbS aggregation and RBC sickling, measurements of hemoglobin polymerisation in heterogeneous cell population distributions are only recently starting to be made. In this project, we will develop a mathematical model of HbS aggregation kinetics in heterogeneous cell populations. The aim is to understand the assortment of polymers in cells and determine the distribution of mechanical properties of cells (stiffness). To do so, we will combine theory of aggregation, control theory, and coarse-grained simulations.

MSc Project at King’s College London Mathematics Department, London, UK (supervised by Dr Gabriele Sicuro)
June 2021 - September 2021

Abstract: In this paper, we review the dimer covering problem and study the random dimer problem on the weighted Aztec graph. We analysed the optimal solution at T = 0 and explored the weighted Aztec graph at finite temperature regimes using belief propagation algorithms. It was shown that the arctic circle phenomenon does not arise for low temperatures in the weighted Aztec graph problem.

MSci Project at UCL Mathematics Department, London, UK (supervised by Dr Ruben Perez-Carrasco)
September 2019 — March 2020

Abstract: The aim of this project is to understand cell competition in the context of early in vitro gastrulation. To do so, we construct two models. On the one hand, a deterministic continuous model, and on the other, a stochastic agent-based model. The agent-based models allowed us to study the role of diffusion and interaction length unravelling the different dynamics of cell-cell competition.