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These outer convex hulls were later used as an outer limit on the nuclei boundary positions.
The Solidity feature is a measure of nucleus shape convexity, it is calculated by the ratio of the nucleus area over the area of the smallest convex hull polygon that can contain the nucleus, it indicates nucleus outline uniformity and it decreases with increasing nuclei boundary irregularity.
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A custom-written MATLAB program was used to extract nuclei boundaries.
An active contour, or snake algorithm, was used to extract nuclei boundaries with sub-pixel resolution, as described in Xu and Prince [ 28].
The latter usually represents the limiting stage of the reaction – the chemical reactions; random nucleation and nuclei growth; phase boundary reaction or diffusion.
The blue lines between nuclei and lumen boundary are the measured CytoplasmLengths.
Regarding the diffusion coefficient, this result confirms observations made elsewhere where it was suggested that the diffusion is not essential to explain precise gene expression pattern formation [ 42, 65], but the diffusion term does account for the boundary nuclei effect [ 66].
The final proportion statistic for each core is defined as the proportion of nuclei lying above the boundary compared with the total number of points on the plot, and the intensity as the ratio of the difference between the median ordinate values of the points above the boundary (stained) compared with below (unstained).
In all, 200 non-overlapping nuclei with clearly visible boundaries were scored for each sample.
Early Drosophila embryo development occurs in a syncytium where the nuclei divide without PM boundaries.
The nuclei are in a syncytium, that is, there are no cell boundaries, and the nuclei flow freely in the motile plasmodium.
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