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International Journal of Bioprinting                                 Swelling–shrinking behavior of hydrogel




               To provide a quantitative basis for  evaluating the   of 20 mm (length) × 10 mm (width) × 10 mm (height)
            printing quality of the hydrogel constructs under different   is successfully generated. This outcome confirms that 3D
            RH conditions, the overall height of each printed structure   printing with optimal RH conditions can alleviate moisture
            was measured as a representative indicator of structural   loss and enhance the structural fidelity of 3D architectures.
            integrity. Given the complexity of the ear-shaped geometry,   F-127 was selected as the model hydrogel in this study
            conventional image analysis techniques, such as edge   due to its pronounced and stable geometric deformation
            detection, contour extraction, or pixel-wise segmentation,   under varying RH conditions, along with its excellent
            were not feasible for consistent quantitative assessment.   printability and reproducibility. These characteristics made
            Therefore, vertical height was selected as a measurable   it suitable for controlled investigation of humidity-driven
            and  reproducible  metric  that  reflects  the  degree  of   swelling–shrinking mechanisms and for  quantitative
            structural collapse or swelling caused by humidity-driven   FEM modeling. However, it is important to note that the
            deformation. The height of each sample was obtained   proposed finite element framework—including two-phase
            from side-view images and is presented in  Table 3. The   flow  modeling,  water  vapor  transport simulation,  and
            results demonstrate that samples printed under optimal   RH–geometry coupling—is not limited to the specific
            RH conditions exhibited significantly greater structural   material properties of F-127. The model is designed
            retention compared to those printed under inappropriate   to  be  generalizable  and  can  be  applied  to  other  widely
            RH conditions.                                     used hydrogel-based inks, such as GelMA with tunable
               Currently, numerous studies have explored 3D printing   crosslinking density, ionically crosslinked alginate, and
            using F-127 materials. However, a majority of these   photopolymerizable PEG-DA, provided that key physical
            printed structures exhibit shrinkage and collapse during   parameters (e.g., swelling ratio, viscosity, and diffusion
            the extrusion process due to inappropriate ambient RH.   coefficient) are available. These hydrogels are extensively
            Moisture loss significantly limits the fabrication of large-  used in tissue engineering and bioprinting, indicating the
            scale  3D  architectures  with  complex  structures.  Table  4   strong applicability and scalability of our model in practical
            compares the 3D-printed F-127 architectures of various   biomanufacturing settings.
            sizes in existing studies. It demonstrates that the effective
            lengths and widths of recently proposed structures usually   4. Conclusion
            fall within the range of 5–10 mm, with effective heights   In  this  study,  the  humidity-driven  swelling–shrinking
            generally not higher than 8 mm. Meanwhile, the shapes   behavior  of  hydrogel filaments  during  3D printing
            of these architectures are not complex enough to meet   was investigated through numerical simulations and
            the requirements of medical applications. In contrast, in   experimental validation. A novel FEM coupling field
            this study, a 3D-printed ear model with an effective size   simulation model  was developed to  identify optimal


            Table 3. Overall heights of printed structures with various humidity levels
             Figure                  Filament diameter (mm)    Ambient humidity (%)      Overall height (mm)

             A                                                        90                       5.4
                                             0.2
             D                                                        80                       4.5
             B                                                        80                       8.5
                                             0.3
             E                                                        70                       7.6
             C                                                        60                       10.0
                                             0.4
             F                                                        50                       8.8

            Table 4. Results of printed F-127 structures in recent studies
             Reference               Structure         Filament diameter (mm)  Effective size (length × width × height, mm )
                                                                                                          3
             41                                                0.5                        8×8×1
                                  Reticulate structure
             42                                                0.2                       10×10×5
                                    Cube structure                                        5×5×5
             43                                                0.4
                                  Pyramid structure                                      10×10×8


            Volume 11 Issue 4 (2025)                       422                            doi: 10.36922/IJB025220222
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