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This study presents a novel methodology for tracing and analyzing microtubule dynamics in live cells, addressing challenges such as overlapping regions and tip detection. By utilizing geodesic paths and fast marching algorithms, reliable tracking of microtubule bodies is achieved. The proposed approach enhances the quantitative analysis of microtubule growth and shortening events, providing a more accurate representation of microtubule behavior.
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Motivation • Microtubules (MT) are filamentous cytoskeleton structures composed of tibulin protein subunits. • Quantitative analysis of MT dynamics in live cell is necessary • Growth and shortening events of MT by considering only the MT tip position is not a valid approximation if MT follow non-linear paths • Reliable tracing of MT body is required
Challenges • Intersecting and overlapping MT regions appear brighter due to additive florescence • Typical binarization methods yields gaps
Tip Detection • MT image is filtered by second derivative of Gaussian filter with different orientations to reveal curvilinear structures. • Binary mask obtained by thresholding the filter response is then further skeletonized to have B(x,y) • The candidate tip positions are marked by finding the line ends in B(x,y)
Methodology • Use estimated tip positions as starting points • Apply fast marching to extract all possible paths starting with tip position and end points s.t. • Calculate the support of the path p • Select the path that maximizes the support
Results Results of the Geodesic Paths Results of the Proposed Algorithm