We use fractional Brownian motion and the stochastic logistic equation to describe the temporal properties of OCT4 in a growing hESC colony. We particularly look at using a time-dependent carrying capacity or an Allee effect to capture the decline in OCT4 upon cell differentiation, pictured below!
Enjoyed presenting my work at SMB2021 this week! Always a great conference with a wide variety of mathematical biologists. I talked about our agent-based model for the local spread of tree disease and the impact the choice of pathogen kernel has on the subsequent epidemic.
We use time-lapse experimental data of OCT4-mCherry fluorescence intensity to quantify the temporal and spatial dynamics of the pluripotency transcription factor OCT4 in a growing hESC colony in the presence and absence of BMP4.
Last year I won 2nd Prize in the Smith Institute’s TakeAIM competition (Articulating the Influence of Mathematics). The competition is an opportunity for university students to showcase their work on the industrial stage and to highlight the crucial role mathematics plays in solving real-world problems while rewarding the academic exploration of future innovators who undertake pioneering research.
The awards ceremony at Imperial College London featured presentations from other winning entries, interesting industrial talks and a very fancy afternoon tea! My winning entry can be viewed here and the article in the school news here.