A transversely isotropic constitutive model of excised guinea pig spinal cord white matter |
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Authors: | Beth Galle Hui Ouyang Riyi Shi Eric Nauman |
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Institution: | 2. Duke University, Durham, North Carolina, USA;3. Department of Cardiology, Aalborg University Hospital, Aalborg, Denmark;4. Duke University Hospital, Durham, North Carolina, USA |
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Abstract: | Narrowing of the spinal canal generates an amalgamation of stresses within the spinal cord parenchyma. The tissue’s stress state cannot be quantified experimentally; it must be described using computational methods, such as finite element analysis. The objective of this research was to propose a compressible, transversely isotropic constitutive model, an augmentation of the isotropic Mooney–Rivlin hyperelastic strain energy function, to describe the guinea pig spinal cord white matter. Model parameters were derived from a combination of inverse finite element analysis on transverse compression experiments and least squared error analysis applied to quasi-static longitudinal tensile tests. A comparison of the residual errors between the predicted response and the experimental measurements indicated that the transversely isotropic constitutive law that incorporates an offset stretch reduced the error by a factor of four when compared to other commonly used models. |
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