Abstract
Recent advances in microscopy jointly to the development of fluorescent probes have enabled to image dynamic processes with very high spatial-temporal resolution, for instance in Cell Biology. In some applications, the segmented areas associated with different events overlap spatially and temporally forming random clumps. In order to study the shape-size features and durations of the events, it is a usual practice to analyze only isolated episodes. However, this sample is biased, because faster and smaller events tend to be isolated. We model the images as a realization of a cylindrical temporal Boolean model. We evaluate the bias introduced when ruling out non-isolated episodes. We propose an estimator of the duration distribution and perform a simulation study to assess its accuracy. The method is applied to fluorescent-tagged proteins image sequences. Results show that this procedure is effective for analyzing dynamic processes where spatial and temporal overlapping occurs.
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This paper has been supported by Human Frontier Science Organization Program (RGY40/2003-first author) and Spanish Ministry of Science and Education (TIN2007-67587-first author and TIN2006-10143-second author). The authors thank one of the referees, who also reviewed our paper [1], for his/her suggestions which contributed to the genesis of this paper. We would like to thank the anonymous reviewer who made a substantial contribution to the revision of our paper.
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Díaz, M.E., Ayala, G. & Díaz, E. Estimating the Duration of Overlapping Events from Image Sequences Using Cylindrical Temporal Boolean Models. J Math Imaging Vis 38, 83–94 (2010). https://doi.org/10.1007/s10851-010-0214-6
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DOI: https://doi.org/10.1007/s10851-010-0214-6