The deliverable reports all relevant information regarding the development of an enhanced constitutive model to describe the anisotropic material behaviour of the vessel wall, which will be used in combination with the virtual device models for preliminary analyses requiring a reduced computational effort. For this purpose, the constitutive framework of the Holzapfel-Gasser-Ogden model with non-symmetric fibre dispersion is described and subsequently the implementation process in the commercial finite element software ANSYS Mechanical APDL and LS-DYNA is detailed. Two elementary numerical examples are presented to demonstrate the characteristic material behaviour predicted by the model. Initially, the parameters for the Holzapfel-Gasser-Ogden model are derived from existing literature data and then refined using experimental findings from our laboratory. Furthermore, a Bayesian framework is applied in a representative case study to evaluate the uncertainty associated these material parameters. SIMCor (In-Silico testing and validation of Cardiovascular IMplantable devices) has received funding from the European Union's Horizon 2020 research and innovation programme under grant agreement No 101017578.