In one embodiment, a rolling transport cot may include an elongate frame, one or more support linkages, an arcuate coupling member, and a swivel caster. The one or more support linkages may include a pivoting link that is in rotatable engagement with the elongate frame, a traveling link that is in sliding and rotatable engagement with the elongate frame, and an equalizing link that is in rotatable engagement with the traveling link. The arcuate coupling member can be in rotatable engagement with the pivoting link and the equalizing link. The swivel caster may include a wheel that rotates along a surface and a swivel mechanism that can rotate around an axis that is aligned with the surface at a swivel angle φ. When the traveling link is urged along the elongate frame, the swivel angle φ of the swivel mechanism can be substantially constant.