An umbilicus is provided for use in an umbilicus-driven fluid processing system. The umbilicus has a pair of anchor portions, at least one fluid-transmitting lumen, and a drive shaft. The fluid-transmitting lumen and drive shaft extend between the anchor portions. The lumen and drive shaft may be comprised of different materials. If multiple lumen are provided, they may either be separate from each other and the drive shaft or defined in a single umbilicus body which also provides a lumen for receiving at least a portion of the drive shaft.