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Origami-inspired structures have found many innovative applications in engineering fields. The expressive volume changes intrinsically related to their geometry is very useful for different purposes. Nevertheless, the mathematical description of origami structures is complex, which makes the design a challenging topic. This work deals with the use of reduce-order models for the origami description. A cylindrical origami structure with waterbomb pattern, called origami stent, is of concern. A reduced-order model (ROM) is developed based on kinematics and symmetry hypotheses. Afterward, a finite element analysis (FEA) is developed based on a nonlinear bar-and-hinge model. Numerical simulations are carried out evaluating the ROM validity range. Rigid and non-rigid situations are investigated showing that ROM is able to be employed for origami description.