Technological developments in 3D bioprinting already offer first approaches to fabricate tissues and mini-organs within three-dimensional shapes by layering biological materials. This master's thesis explores possibilities of designing digital, generative modelling user interfaces to create vascularized tissues for 3D bioprinting. During the research process the application prototype „Bloodline Alpha 1“ was designed and developed to create customized, generative vessel systems for the Cellbricks 3D Bioprinter. First liquid streamed vessel systems in the micrometre range were successfully printed with bio compatible materials within laboratory experiments using the developed modelling interface prototype.