Biomedical Engineering Reference
In-Depth Information
6.3.3.2
Boundary Extraction
After the noise reduction, the cell boundary was detected as a thick line (>1 pixel
width) by applying a 3 × 3 Sobel fi lter (Fig. 6.3d ) and Otsu thresholding (Fig. 6.3e ).
The 8-connected contour pixels were extracted from the thick line by skeletonization
(Fig. 6.3f ). As seen in Fig. 6.3g , the image processing steps accurately approximated
the cell boundaries. The boundary evolution shown in Fig. 6.3h suggests that
protrusions in the order of 1
m can be detected from the extracted cell boundary
with a time evolution in the order of seconds.
ʼ
6.3.4
Detection of Time Evolution of Cell Boundary
Quantitative characterization of cell morphological dynamics is a typical technical
requirement for a number of researchers. For this aim, a variety of techniques for
quantitation of time evolution of cell boundary have been developed. One major
consideration in choosing the method is the association between segments on the
boundary in a timelapse image sequence.
Using circular mapping (Fig. 6.4 ) of the cell shape in a 2D Cartesian system, we
can describe the time evolution of an entire cell boundary. For cells with circular
morphology, in particular, it is an easy-to-use and a powerful approach. The method
of circular mapping successfully characterize discontinuous cell spreading that
occurs in an anisotropic manner through stochastic, transient extension periods,
named STEPs (Dubin-Thaler et al. 2004 ), and also the ordered patterns in a spontaneous
cell migration (Maeda et al. 2008 ). It can also be applied to collective cell protrusive
behavior after the boundary release controlled by a substrate with switchable
adhesive patterns (Rolli et al. 2012 ). We can adopt the polar circular mapping-based
approach to characterize cell morphological dynamics of full-moon-shaped kerato-
cytes because these cells have a nearly circular morphology.
q (°)
90
a
b r ( ) = [ x ( s ), y ( s )]
c
12 0
6 0
s
20
30
s
10
0
0
q
r
(
)
y
210
330
x
240
300
270
Fig. 6.4 Circular mapping of cell shape (Miyoshi and Adachi 2012 ). ( a ) Phase contrast raw image
of a keratocyte. In the analysis, ( b ) cell outline curve r = [ x ( s ), y ( s )] consisting of 8-connected
contour pixels is expressed in ( c ) polar coordinates, r ( ʸ ) (Adapted with permission from The Royal
Society of Chemistry: [Integrative Biology], copyright (2012))
 
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