A method of pumping a fluid through tubing that is positioned partially around the periphery of a first disk of a peristaltic pump and partially around the periphery of a second disk of the peristaltic pump, the method comprising: orbiting a plurality of first rollers at a constant angular speed around the periphery of the first disk such that the first rollers are constantly pressed into contact with the periphery of the first disk, the tubing, or the periphery of the first disk and the tubing, wherein the first disk includes a first angular sector that is configured to cause the first rollers to move along a first section of the periphery of the first disk at a first tangential speed and a second angular sector that is configured to cause the first rollers to move along a second section of the periphery of the first disk at a second tangential speed less than the first tangential speed; orbiting a plurality of second rollers at the constant angular speed around the periphery of a second disk such that the second rollers are constantly pressed into contact with the periphery of the second disk, the tubing, or the periphery of the second disk and the tubing, wherein the second disk is configured to cause each second roller to move at substantially the second tangential speed; increasing the pressure of a portion of the fluid in the tubing between one first roller and one second roller by causing the one first roller to fully compress the tubing in the first angular sector and simultaneously causing the one second roller to fully compress the tubing in a first section of the periphery of the second disk; and moving, after increasing the pressure of the portion of the fluid, the portion of the fluid through the tubing at a constant pressure towards an output of the tubing by causing the one first roller to fully compress the tubing in the second angular sector and simultaneously causing the one second roller to fully compress the tubing. orbiting a plurality of first rollers at a constant angular speed around the periphery of the first disk such that the first rollers are constantly pressed into contact with the periphery of the first disk, the tubing, or the periphery of the first disk and the tubing, wherein the first disk includes a first angular sector that is configured to cause the first rollers to move along a first section of the periphery of the first disk at a first tangential speed and a second angular sector that is configured to cause the first rollers to move along a second section of the periphery of the first disk at a second tangential speed less than the first tangential speed; orbiting a plurality of second rollers at the constant angular speed around the periphery of a second disk such that the second rollers are constantly pressed into contact with the periphery of the second disk, the tubing, or the periphery of the second disk and the tubing, wherein the second disk is configured to cause each second roller to move at substantially the second tangential speed; increasing the pressure of a portion of the fluid in the tubing between one first roller and one second roller by causing the one first roller to fully compress the tubing in the first angular sector and simultaneously causing the one second roller to fully compress the tubing in a first section of the periphery of the second disk; and moving, after increasing the pressure of the portion of the fluid, the portion of the fluid through the tubing at a constant pressure towards an output of the tubing by causing the one first roller to fully compress the tubing in the second angular sector and simultaneously causing the one second roller to fully compress the tubing.