Abstract Introduction In bioprinting techniques, tissue engineering from 3D models to generate the desired geometry is as important as cell proliferation, as it will be key to the survival of the printed tissue and its functional success. Methods Alginate-based hydrogels were used because they are the most widely used by the scientific community for bioprinting. The alginate-based hydrogels used were characterised using a rheometer to obtain the boundary conditions to be applied in the computational software. A 2D axisymmetric model together with a two-phase flow level set interface of a bioprinting nozzle and a computational model of a human tooth were carried out to verify the results obtained. Results The data showed that droplet detachment occurs at lower pressures based on the higher the percentage of alginate. In addition, samples with a higher percentage of alginate were less sensitive to pressure during extrusion. Conclusions