Endocytosis: Counting endocytic events and estimation of their durations from TIRFM image sequences using temporal Boolean models
Endocytosis is a process by which cells carry traffic from the
extracellular space into various intracellular compartments.
Visualization of fluorescently-tagged clathrin proteins (mediators of endocytosis) allows us to image endocytosis in real-time. When
imaging the plasma membrane, areas of fluorescence generated by
different endocytic processes overlap, forming random clumps.
We model a sequence of segmented clathrin spots as a
realization of a temporal Boolean model. We obtain the estimates of the
intensity (mean number of events per unit area and unit time) and the density function of the durations.
Software
Temporal Random Sets. A Matlab toolbox for simulation and estimation
Publications
- Díaz ME, Ayala G, Díaz E. Estimating the duration of overlapping events from image sequences using cylindrical temporal Boolean models. Journal of Mathematical Imaging and Vision.38(2):83-94, 2010 Supplementary Material
- Díaz ME, Ayala G, León T, Zoncu R, Toomre D. Analyzing protein-protein spatial-temporal dependencies from image sequences using fuzzy temporal random sets. Journal of Computational Biology. 15(9):1221-36, 2008. Supplementary Material
- Díaz E, Sebastian R, Ayala G, Díaz ME, Zoncu R, Toomre D, Gasman S. Measuring spatial temporal dependencies in bivariate random sets with applications to cell biology. IEEE Transactions on Pattern Analysis and Machine Intelligence. 30(9):1659-71, 2008
- Ayala G, Sebastian R, Díaz ME, Díaz E, Zoncu R, Toomre D. Analysis of spatially and temporally overlapping events with applications to image sequences. IEEE Transactions on Pattern Analysis and Machine Intelligence. 28(10):1707-12, 2006
- Sebastian R, Díaz E, Ayala G, Díaz ME, Zoncu R, Toomre D. Studying endocytosis in space and time by means of temporal Boolean models. Pattern Recognition. 39(11):2775-85, 2006
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