Background: The theoretical fiber-progressive-engagement model was proposed to describe the pseudoelastic behavior of an artery pre-and post-decellularization treatments.Material and methods: Native porcine arteries were harvested and decellularized with 0.05%trypsin for 12 h.The uniaxial tensile test data was fitted to the fiber-progressive-engagement model proposed herein.The effects of decellularization on the morphology,structural characteristics,and composition of vessel walls were studied.Results: The experimental stress-strain curve was fitted to the model in the longitudinal and circumferential direction,which demonstrated the adequacy of the proposed model(R2 > 0.99).The initial and turning strains were similar in the longitudinal and circumferential directions in the aorta,suggesting the occurrence of collagen conjugation in both directions.Discrepancies in the initial and turning strain and initial and stiff modulus in both directions in the coronary artery revealed the anisotropic features of this vessel.Decellularization induced a decrease in the initial and turning strains,a slight change in the initial modulus,and a substantial decrease in the stiffness modulus.The decrease in the initial and turning strain can be attributed to the loss of waviness of collagen bundles because of the considerable decrease in elastin and Glycosaminoglycan GAG contents.Conclusions: This simple non-linear model can be used to determine the fiber modulus and waviness degree of vascular tissue.Based on these results,this mechanical test can be used as a screening tool for the selection of an optimized decellularization protocol for arterial tissues.