Title | ||
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Measuring spatiotemporal dependencies in bivariate temporal random sets with applications to cell biology. |
Abstract | ||
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Analyzing spatio-temporal dependencies between different types of events is highly relevant to numerous biological phenomena (e.g. signalling and trafficking) especially as advances in probes and microscopy have facilitated imaging of dynamic processes in living cells. For many types of events, the segmented areas can overlap spatially and temporally forming random clumps. In this paper, we model binary image sequences of two different event types as a realization of a bivariate temporal random set and propose a non-parametric approach to quantify spatial and spatio-temporal interrelations using the pair-correlation, cross-covariance and the Ripley IK functions. Based on these summary statistics we propose a randomization procedure to test independence between event types by applying random toroidal shifts and Monte Carlo tests. A simulation study assessed the performance of the proposed estimators and showed that these statistics capture the spatio-temporal dependencies accurately. The estimation of the spatio-temporal interval of interactions was also obtained. The method was successfully applied to analyze the interdependencies of several endocytic proteins using image sequences of living cells and validated the procedure as a new way to automatically quantify dependencies between proteins in a formal and robust manner. |
Year | DOI | Venue |
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2008 | 10.1109/TPAMI.2007.70821 | IEEE Trans. Pattern Anal. Mach. Intell. |
Keywords | Field | DocType |
random toroidal shift,bivariate temporal random sets,cell biology,measuring spatiotemporal dependencies,random clump,bivariate temporal random set,different type,event type,binary image sequence,different event type,spatio-temporal interval,spatio-temporal dependency,spatio-temporal interrelation,set theory,clathrin mediated endocytosis,covariance function,stochastic process,image segmentation,genetics,pair correlation function,pattern analysis,molecular biophysics,cross covariance,binary image,monte carlo methods,testing,proteins,stochastic processes,random processes,signal analysis,statistical testing,applications,image analysis,signal processing | Covariance function,Pattern recognition,Cross-covariance,Computer science,Stochastic process,Nonparametric statistics,Temporal database,Artificial intelligence,Statistical hypothesis testing,Covariance,Estimator | Journal |
Volume | Issue | ISSN |
30 | 9 | 0162-8828 |
Citations | PageRank | References |
1 | 0.40 | 4 |
Authors | ||
7 |
Name | Order | Citations | PageRank |
---|---|---|---|
Ester Diaz | 1 | 18 | 3.03 |
Rafael Sebastian | 2 | 38 | 12.23 |
Guillermo Ayala | 3 | 95 | 16.13 |
María Elena Díaz | 4 | 21 | 5.69 |
Roberto Zoncu | 5 | 11 | 2.03 |
Derek Toomre | 6 | 46 | 7.75 |
Stéphane Gasman | 7 | 1 | 0.40 |