Reconstruction of loads in the fibrosa and ventricularis of porcine aortic valves

Abstract

The main structural components of aortic valve cusps, the fibrosa and ventricularis, are pre loaded by virtue of their attachment to each other. The fibrosa is under compression and the ventricularis is under tension. Once separated from each other, these internal stresses are relieved, and the fibrosa elongates and the ventricularis shrinks. It then becomes impossible to determine what fraction of the load is carried by the two layers at a given strain, using the standard superposition of tension vs strain curves. To enable the superposition approach, we needed to adjust the tension/ strain curves of the fibrosa and ventricularis, and duplicate the pre load that exists in these layers. We, therefore, iteratively shifted these curves and compared their arithmetic sum to the tension curve for the whole intact cusp, using a sum-of-squares error function. The best fits occurred when the fibrosa and ventricularis were shifted to the right and left by amounts corresponding to a true strain of epsilon = 0.26 and 0.10 for the fibrosa and ventricularis in the radial directions. In the circumferential direction, the best fit was achieved for shifts of epsilon = -0.11 and 0.010 for the fibrosa and ventricularis, respectively. This 26% compressive strain of the radial fibrosa compares well with direct observations. The reconstructed tension curves indicate that the ventricularis carries much of the radial loads, whereas circumferentially the two layers share loads equally up to 25% strain, beyond which the fibrosa takes over.