학술논문

A statistical analysis of spatial clustering along cell filaments using Ripley's K function
Document Type
Conference
Source
2014 IEEE 11th International Symposium on Biomedical Imaging (ISBI) Biomedical Imaging (ISBI), 2014 IEEE 11th International Symposium on. :541-544 Apr, 2014
Subject
Bioengineering
Monte Carlo methods
Approximation methods
Graphical models
Distribution functions
Standards
Reactive power
Spatial Statistics
Clustering
Cell filaments
Ripley's K function
Cornish-Fisher expansion
Typanosoma brucei
Language
ISSN
1945-7928
1945-8452
Abstract
The analysis of the spatial distribution of molecules along one dimensional structures, such as filaments of the cell's cytoskeleton, gives essential information on intracellular transport mechanisms. The standard tool for analyzing molecules' organization is the Rip-ley's K function, which permits to statistically test the hypothesis of molecules' random distribution against clustering or dispersion. However, the computation of the critical quantiles of Ripley's K function is currently based on Monte-Carlo simulations, which induces a high computational load and hinders its use. Here, we present an analytical expression of these quantiles for 1D filaments, leading to a fast and robust statistical test. Thereafter, we used our statistical test to analyze the spatial distribution of proteins involved in intraflagellar transport along the flagellum of the parasite Typanosoma brucei.