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International Journal of Bioprinting                                             3D-Printed liver model



            Table 4. Average elastic moduli, dissipated energy ratios and Hounsfield units
                                                            Liver model and flu-  Full silicone   Liver tissue
                                                            id-filled specimens   specimens   (based on [35,36,49,50] )
                                                            (n = 1 + 3)        (n = 3)
             Initial elastic modulus (kPa)                  260                370         Approximately 100
             (E1 on Figure 7, at 0%–3% strain)                                             (target in this study)
             Final elastic modulus (kPa)                    190                250         N/A
             (E2 on Figure 7, at 22%–27% strain)
             Dissipated energy ratio (–) of first loading cycle (0%–7.5% strain)  N/A   N/A   Approximately 0.6 ± 0.1
             Dissipated energy ratio (–) of second loading cycle (0%–15% strain)  0.140  0.118
             Dissipated energy ratio (–) of third loading cycle (0%–22.5% strain)  0.167  0.093
             Dissipated energy ratio (–) of fourth loading cycle (0%–30% strain)  0.183  0.081
             HU of fluid-filled internal structure of liver model  225 ± 30    N/A         Approximately 70 ± 30
             HU of bulk outer shell of liver model          340 ± 50           N/A

            PDMS oil, using PLA as support. The printed liver model   would prevent a large soft object from such deformations.
            underwent CT scanning, and it was found that its internal   However, this would also prevent the use of any closed
            structuring has brought it closer to actual liver tissue HUs   internal cavities or filler fluids. In general, solving such
            compared to the bulk silicone material. Meanwhile the   practical limitations of the printer were not in the scope
            tensile testing results show that the used internal structure   of this study, since the demonstration of material property
            has also brought the liver model closer to real liver tissue   tuning was possible.
            from a mechanical standpoint compared to bulk silicone,
            decreasing elastic moduli and increasing dissipated energy   4.2. Mechanical behavior and limitations
            ratios.                                            In case of the fluid-filled structure, the lower elastic moduli
                                                               (compared to full silicone) are likely caused by having
            4.1. Printing performance and limitations          less silicone in the internal structure (Figure  8), while
            Despite the extensive use of PLA support structures, the   the increase in dissipated energy ratios (Table 4) can be
            liver model presented a relatively straightforward print   associated with the viscous filler fluid circulating within
            run. The visible color inhomogeneities (Figure 6A and B)   the silicone gyroid structure upon deformation.
            were likely caused by unwanted droplets of the filler fluid
            falling onto the object from the inactive nozzle. This could   As stated in section 2.2 and Table 4, the desired initial
            be avoided either with longer pullback settings upon tool   elastic modulus was 100  kPa, after which some degree
            switching, or by upgrading the printer with a tool-changing   of strain-stiffening and overall viscoelastic behavior was
            or lifting mechanism for inactive extruders, as described in   desired. As expected with the knowledge of printing
            refs.  and  .                                      limitations, the fluid-filled tensile testing specimens (and
               [18]
                     [19]
                                                               thus, the liver model) provided a mechanical behavior that
               Theoretically, the liver model could also be printed
            without downscaling to 33% in each direction, but a full-  is closer to real liver tissue than the behavior of the full
                                                               silicone benchmark specimens, in terms of both elasticity
            scale model would consume large amounts of material, and   and viscosity, although not matching it perfectly with an
            require frequent cartridge changes, and either a printing   initial elastic modulus of 260 kPa instead of 100 kPa, and
            time over a week, or a much coarser printing resolution   dissipated energy ratios in the range of 0.14–0.19, instead
            with larger nozzle. In such a case, some anatomical   of approx. 0.5–0.7 (Table 4).
            features—like larger and medium-sized vessels—could
            also be represented inside the internal structure of the liver   The elastic modulus could have been even lower with a
            model, but at a cost of potentially compromising freedom   softer material or if the specimens were printable with no
            in mechanical and radiological property tuning.    solid outer shell. Unfortunately, the latter is not possible by
                                                               principle, as the fluid would leak from the specimens upon
               Moreover, in case of larger prints with soft materials,
            the deformation of the printed object under its own weight   deformation if there was no shell.
            would likely require some degree of compensation, and   Also, the typical strain-stiffening behavior characteristic
                                                                          [35]
            such a feature is not yet available in current 3D printing   to liver tissue  was not reflected in the results in this
            software. Alternatively, printing could happen in a support   study. This is not surprising, since most biological tissues
            bath with the same density as the printing materials, which   feature a fibrous hierarchic structure, which stiffens when

            Volume 9 Issue 4 (2023)                         99                         https://doi.org/10.18063/ijb.721
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