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International Journal of Bioprinting                                   Cell viability in printing structured inks




            Figure 8A–C presents simulation results corresponding to   (Supplementary File). Figure 9D–F presents the quantified
            parameters (r , r , and φ). The corresponding quantitative   data of average and maximum shear stress for r , r , and φ,
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            results for the parameters are provided in  Table S3   respectively. Their corresponding qualitative results of shear
            (Supplementary File). When r  and φ were fixed at 2.575   stress are shown in Figures S14 and S15 (Supplementary
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            mm and 13.3°, respectively, increasing the value of  r    File).  The  average  shear  stresses  at  the  nozzle  wall,  the
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                                                    ′
            resulted in an augmentation of the inner layer  r  (Table   interface between material phases 1 and 2 within the
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            S3 in Supplementary File), as the increase in r  led to an   nozzle, and the interface between material phases 2 and
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            increase in its volume flow rate. With a value of r  set at   3 within the nozzle were determined to be 6.656e+0 Pa,
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                                 ′
            1.65 mm, the inner layer  r  equaled 0.105 mm, indicating   5.237e+0 Pa, and 1.721e+0 Pa, respectively. In comparison,
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            that material phase 3 at the nozzle outlet accounted for 1/4   the average wall shear stress generated in conventional
            of the overall fiber diameter. Subsequently, the parameter   printing was 1.60e+1 Pa (Figure S13B in Supplementary
            r  was determined by fixing r  at 1.65 mm and φ at 13.3°.   File), which is larger than that in the structured inks-
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                                                         ′
                                                      ′
            When  r  had a value of 2.575 mm, the ratio of  rtor    based methods. Furthermore, the maximum shear stress
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                                                               presents a distinct difference. In hepatic lobule analogue-
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            reached 2:1. Furthermore, the parameter φ was determined   like printing, the maximum shear stress was 1.583e+2 Pa,
            by fixing r  at 1.65 mm and r  at 2.575 mm. When φ had   markedly lower than the wall shear stress produced in
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            a value of 13.3°, the ratio of  ′  5  4 ′ rtor  reached 1:1. Thus, the   conventional printing, which was 5.146e+3 Pa.
            geometric parameters of hepatic lobule analogue-like inks
            were determined.                                   3.4. Pre-consideration of fluid forces for
               The fluid forces were analyzed using the structured ink   equivalent analysis
            with determined parameters: r  of 1.65 mm, r  of 2.575 mm,   The purpose of equivalent analysis is to identify a
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            and φ of 13.3°. Figure 9A–C presents the quantified data of   homogeneous ink that generates fluid forces equivalent
            average and maximum pressure for r , r , and φ respectively,   to those experienced by cells in structured ink-based
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            with their corresponding qualitative results of pressure   printing. This homogeneous  ink shares the same nozzle
            shown in  Figure S12 (Supplementary File). The average   specifications and overall flow domain as structured inks.
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            pressure within the fluid domain of material phase 2 within   In a previous research,  it was ensured that the velocity
            the nozzles was measured at 1.028e+3 Pa, with a maximum   at the inlet of the homogeneous ink was equal to that of
            pressure of 1.065e+3 Pa. Figure 3D, E, G, and H presents   the structured inks. This consideration is made from the
                                                               perspective of identical printing process parameters. In the
            the contour of fluid forces in corresponding conventional   preceding two sections, the forces generated by vascular-
            printing, with quantified data shown in  Figure S13   like inks or hepatic lobule analogue-like inks with different
            (Supplementary File). Notably, the average and maximum
            pressures in this structured ink were significantly lower   structured parameters were analyzed.
            than  those  in  conventional  printing,  where  the  average   Based on Figure 7A and C (an increase in r  from 3.00
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            pressure was 2.750e+4 Pa, as depicted in  Figure S13A   mm to 3.20 mm with  r  set to 1.155 mm), and  Figure
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            Figure 8. Simulation results of the effect of geometric parameters of preset hepatic lobule analogue-like inks on extruded fibers. (A) Effect of r  on the
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            cross-sections of extruded fibers. (B) Effect of r  on the cross-sections of extruded fibers. (C) Effect of φ on the cross-sections of extruded fibers.
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            Volume 10 Issue 4 (2024)                       250                                doi: 10.36922/ijb.2362
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