Liu, Chang (2025) Statistical analysis of high-dimensional spatio-temporal data. PhD thesis, National University of Ireland Maynooth.
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Abstract
To realise biological function, cellular behaviour is a dynamic, involved processes that
encompass spatial arrangement, differentiation, division and death. Numerous in vivo
biological experiments have been designed to track cellular behaviour over different timeand
space-scale frames, generating a large amount of spatio-temporal data. However, traditional
statistical methods are not well adapted to draw meaningful insight from those
high-dimensional data. Motivated by primary data sources provided by collaborators, this
thesis presents a novel statistical analysis framework of high-dimensional spatio-temporal
data, addressing it at different time scales. To capture biological information at fixed time
points, a spatial statistical pipeline is developed to quantify the distribution of various
cell types and assess their spatial relationships. The analysis is extended to cover periods
of the order of one day, with a statistical framework designed to process spatio-temporal
data, combining a data cleaning process and investigating the relationship between cell
movement and differentiation. Over longer time periods, mathematical models and statistical
methods are developed to estimate the average number of divisions in vivo, offering
insights into long-term cell distribution. The advanced statistical analysis helps capture
the spatio-temporal relationships between different cell types, revealing the dynamic processes
of cellular behaviour.
Item Type: | Thesis (PhD) |
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Keywords: | Statistical analysis; high-dimensional; spatio-temporal; data; |
Academic Unit: | Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
Item ID: | 19636 |
Depositing User: | IR eTheses |
Date Deposited: | 03 Apr 2025 13:10 |
URI: | https://mural.maynoothuniversity.ie/id/eprint/19636 |
Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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