A pump for use with a tube, having a rotor having an axis of rotation and a plurality of rollers configured to define an orbital path about the axis of rotation, the orbital path defined by a radius, and a roller bed having a surface adapted to support the tube for peristaltic compression by one or more rollers, wherein the surface has a predetermined profile comprising a circular arc segment and at least one side segment, the arc segment having a first curvature defined by the radius, and the at least one side segment having a second curvature lesser than the first curvature.