Cells can grow and contract and is detected by Microbetracker. Of course, there is a certain noise and the contour can change for a cell that is not growing or shrinking.
After aligning the images (I like Align Slices in the cvMatch_Temmplate plugin for FIJI), you can just use the first slice of the phase-contrast stack to get the contour and then copy it to all the other slices. This is explained in the FRAP tutorial.
Alternatively, define your region in a better way, for example relative to cell length e.g. choose the segment closest the 1/4 cell length position...
You can also interpolate the signal to overcome the discreteness of the segments.
If you are actually measuring fluorescence, then you can identify peaks and positions in the signal automatically without having to choose a ROI.
Without a more detailed description of your problem, it's difficult to suggest more.