Speaker
Description
As immune cells circulate in the body, different factors may influence their movement, such as other immune cells, target cells, and the topology of the space \cite{Jerison2020}. This work investigates how confinement geometry influences T-cell motion and compares results with mathematical models in the literature. The analysis is based on experiments provided by the Swinburne team, focusing on T-cells confined in a square well in the absence of external stimuli. A statistical analysis reveals non-Brownian behaviour, with MSD exponents exceeding 1 at short timescales before dropping below 1 at longer timescales. The Time-Average Mean Square Displacement, Distributional Mean Square Displacement, and Normalised Autocorrelation Function of the velocities serve as benchmarks for evaluating models, including the Self-Avoiding Random Walk, the Beauchemin Model \cite{Textor2013}, and the Generalised Lévy Walk \cite{Harris2012}. The former two fail to reproduce the superdiffusive regime, predicting subdiffusive behaviour throughout. The Generalised Lévy Walk can match both regimes after fine-tuning, and while it lacks a mechanistic justification, it remains a valuable approximation. This work is ongoing, aiming to uncover the underlying dynamics driven by persistence and boundary interactions.
Bibliography
@article{Jerison2020,
author = {Elizabeth R Jerison and Stephen R Quake},
title = {Heterogeneous {T} cell motility behaviors emerge from a coupling between speed and turning in vivo},
journal = {eLife},
volume = {9},
pages = {e53933},
year = {2020},
doi = {10.7554/eLife.53933}
}
@article{Textor2013,
author = {Textor, Johannes and Sinn, Matthias and de Boer, Rob J},
title = {Analytical results on the {Beauchemin} model of lymphocyte migration},
journal = {BMC Bioinformatics},
volume = {14},
number = {Suppl 6},
pages = {S10},
year = {2013},
doi = {10.1186/1471-2105-14-S6-S10}
}
@article{Harris2012,
author = {Harris, Tajie H and Banigan, Edward J and Christian, David A and others},
title = {Generalized {L\'{e}vy} walks and the role of chemokines in migration of effector {CD8}+ {T} cells},
journal = {Nature},
volume = {486},
pages = {545--548},
year = {2012},
doi = {10.1038/nature11098}
}
