The application of computational mechanics in biomedicine often faces challenges related to the presence of both biological tissue and artificial wire-like devices. Examples of those are the deployment of flow diverters in arterial aneurisms, endovascular thrombectomy, and coronary interventions using stents, among others. The resulting computational problems are complex in the sense that an interaction between the two bodies needs to be defined. Recently, a FEM computational model of a flow diverter has been developed [1], and later used to define a reduced order model [2]. Those simulate the metallic wire of the flow diverter using corotational beam theory which has substantial advantages over classical methods. Nonetheless, if we want to apply the model to medical practice, the definition of the biological tissue and its interaction with the wire-like elements need to be further improved. Some biological tissues such as blood cell clots can be accurately modelled using hyperelastic constitutive laws. In this work, a 3D hyperelastic deformable solid has been developed as well as its interaction with the aforementioned wire-like structure formulated using corotational beam theory. The implementation in Julia programing language assures computational efficiency and scalability with modern HPC in addition to adherence to open-science by making it available in a public repository. The presented code will allow the creation of a database to train data-driven models in view of a real-time decision support tool.