Excellent, Geertjan, that we have the time to refine it. Thanks for the quick reply and the nice feedback.
This would be a simple set up, perhaps not as elegant as it could be, but with three Plain Effectors, the animation might get some naturalistic feel, maybe not, have a look.
If I got the idea correctly, the peristaltic (muscle movement for the transport) needs to have a this asymmetrically shape of your sketch. However, I assume that the left side is being affected here and not the right side. Which makes it a little bit more complex to limit the influence. To overcome this, I have introduce three Plain Effectors, to “shape” the wave accordingly. Perhaps you have some more adjustments—to make it look better.
I did this with the Falloff size and offset, in this way the “Align to Spline” of each can be selected at once (all three) and animated as it would be one. Further more, the composited wave has now an easy adjustment, for the start, the middle and the end, as I guess that the change around the inflammation might be different then the rest, of it is only local. Just some ideas to illustrate my thoughts.
Let me know if I went into the wrong direction, I will try to find a different approach then.
All the best