To-day, the computer-assisted 3D-technologies for the mathematical simulation of the engineering facilities are extensively used for the purpose of technical calculations in all branches of industry and building. The positive experience gained with the application of the 3D-models finds wide application in the joined investigations on the topical problems of the prosthetic and surgical treatment of bones, teeth, joints, cardiac valves, blood vessels, etc. The objective of the present study was the analysis of the positive experience with the involvement of the specialists in the design and practical application of 3D-models for the solution of problems facing the medical prosthetics and the management of various pathological conditions. Another objective was to discuss the possible prospects for the interdisciplinary collaboration in these fields with a view to improving the quality of expert conclusions in the framework of forensic medical and criminalistics examinations. The data readily available from the official domestic and foreign Internet resources were used for the purpose of the study. The analysis of the published data has demonstrated the obvious advantages of the application of the mathematical 3D-models and the biomechanical studies for the solution of the concrete medico-biological problems. The currently available positive experience gained due to the participation of domestic specialists in biomechanics in the solution of the specific clinical problems gives hope that their collaboration between themselves and with the forensic medical experts will open up the promising prospects for the further investigations of the issues of common interest.