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268     Cha pte r  Ele v e n


                  Since OFM images are naturally digitalized, we can perform
               large volume and automatic quantitative information extraction by
               computer assisted postprocessing. We developed a MATLAB pro-
               gram to trace the contour of the C. elegans and determine the area
               and length of the C. elegans in batches (Fig. 11-2d). From those two
               quantities, we then computed an effective width for each nematode
               by dividing the area by the length. In Fig. 11-5d and 11-5e, the col-
               umns represent the mean length and width of the three C. elegans
               strains; the hatched areas correspond to the confidence intervals of
               our mean length and width estimates. The standard deviations
               (error bars) of the measurement indicate the variation between indi-
               viduals within the strain.


               11-3-2 Cell Imaging
               The imaging of cells with the OFM method requires a different flow
               mechanism. This is because a pressure-based microfluidic flow has a
               parabolic velocity profile (Poiseuille flow) that arises from the non-
               slip boundary condition on the channel side-walls. Objects flowing
               under such condition tend to rotate and tumble due to the torque
               they receive from the nonuniform fluid push. While C. elegans simply
               do not have the space to rotate in the microfluidic channel, ellipsoi-
               dal/spherical cells do not have such constraints.
                  Fortunately, we found that the use of dc (direct current) electroki-
               netics provides a simple and direct way to control the motion of bio-
               logical cells in the on-chip OFM system as to suppress rotation and to
               allow a constant translational motion in the microfluidic channel.
               This method is simple to implement—apply an electric field along
               the channel by introducing a potential difference between the two
               ends of the microfluidic channel. We typically apply approximately
               25-V difference along a 3-mm-long channel. By varying the potential
               difference, we can easily alter the speed of the objects.
                  There are three mechanisms involved. First, the electric field
               causes the translation of the electric double layer at the channel walls
               (electrosmosis). This in turn drags the entire fluid column uniformly
               through the channel. Second, a cell would typically carry a net elec-
               tric charge and the interaction of this charge with the electric field
               will likewise actuate the cells (electrophoresis). Third, the electric
               field will induce a dipole moment on a cell. Alternately, the heteroge-
               neous distribution of electric charge on a cell can also create a natural
               dipole. The interaction of the dipole with the electric field will cause
               the cell to orientate itself in the channel to minimize the associated
               electric potential energy (electro-orientation).
                  Using this method, we were able to control cell motions well
               and achieve good-quality OFM imaging of cells. Figure 11-6
               shows comparison images acquired by the OFM and a conven-
               tional microscope.
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