Medica l Image Ana lysis & Ar t i f icia l Intel l igence Symposium 2022 Nr. 19: Dr. med. dent. Dragan Ströbele: Development of an algorithm to predict the force progression of 3d-printed orthodontic springs Curriculum Vitae: Dr. Ströbele is currently a full-time dentist and research associate in the field of digital technologies in dentistry and CAD/CAM, at the Danube Private University (DPU) in Austria. He received his undergraduate degree (Doctor medicinae dentariae) in dentistry from the DPU in 2022 with excellent dissertation. His research participation is published in international peer-reviewed journals which are mostly listed in PubMed. In 2018, he won the best digital implant workf low poster presentation from the German Association of Implantologists (DGOI) in Seeheim, Frankfurt. From 2012 till 2016, he studied mathematics at the University of Ulm, Germany. He supervises undergraduate and postgraduate dental researches in orthodontic, implantology, dental materials and digital dentistry at DPU, Austria. Abstract: Development of an algorithm to predict the force progression of 3d-printed orthodontic springs Objective The objective is to find a mathematical algorithm for force-prediction of 3d-printed open springs with variable parameters. Materials and Methods Springs of varying parameters were designed utilizing Autodesk Netfabb (Autodesk, San Rafael, USA). 3d-printable experimental material (Code: BM2008, GC, Tokyo, Japan) was used. Testing followed by stepwise increasing workload in the universal testing machine Z010 (ZwickRoell, Ulm, Germany). Ideal springs were calculated and mathematical relations were described. Results For springs with four coils forces can be predicted with F_(c=4) (t,k,d)=-(0,476+1,278k)+(0,0717+0,116k)×e^(1,7676+0,1676 ln(k) ) d+(- (0,00168+0,119k)+ (0,000251+0,0103k)×e^(1,9138+0,4666e^(-2,4758k) )d)×e^(-(0,0119+0,00599k)t) For springs with five or six coils an upper boundary on the forces can be calculated F_(c=5) (t,k,d)≤ (0,639+0,078 ln(k) )*F_(c=4) (t,k,d) F_(c=6) (t,k,d)≤(0,502+0,124 ln(k) )*F_(c=4) (t,k,d) Discussion An idealised mathematical model for optimally produced open protrusion springs could be constructed. Therefore, it was possible to calculate a mathematical formula to predict the forces of ideal springs within the examined parameters. Conclusion A mathematical algorithm to predict the forces of 3d-printed open protrusion springs with variable parameters could be produced.
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