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Sensitivity of Edge Detection Methods for Quantifying Cell Migration Assays
Figure 3
Physical interpretation of the edge detection results.
(A, D): Solutions of equation (2) showing the density profiles near the leading edge at 
(dotted black), 
(blue), 
(red) and 
hours (green). Arrows indicate the direction of increasing time. The initial conditions is given by equation (3) with 
and 
for barrier assays with 10,000 and 30,000 cells, respectively. Numerical solutions of equation (2) are obtained with 
and 
hours, with 
and 
for barrier assays with 10,000 and 30,000 cells, respectively. (B,E) The detail of the solutions of equation (2) from the boxed area in (A,D) compared with the scaled manual edge detection results (black) from Figure 2 (A,C). (C,F) Images of a barrier assay with 10,000 and 30,000 cells at 
hours, respectively. The contours of the solution of equation (2) are superimposed. The values of the contours are 
and 
for the barrier assay with 10,000 cells, and 
and 
for the barrier assay with 30,000 cells.
doi: https://doi.org/10.1371/journal.pone.0067389.g003