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International Journal of Bioprinting                                   Cell viability in printing structured inks























            Figure 5. Comparison of fluid average strain rate, velocity, and pressure in 2-symmetric and 4-symmetric ink-based printing, and their corresponding
            conventional printing. (A) Comparison of average strain rate at different cross-section positions. (B) Comparison of average velocity at different cross-
            section positions. (C) Comparison of inlet average pressure at different domains.
               The effects of vascular-like inks with different cross-  quantified data of average and maximum pressure for r
                                                                                                             1
            sectional size parameters (r  and r , shown in Figure S1A   and  r , respectively, with their corresponding qualitative
                                                                   2
                                       2
                                  1
            in Supplementary File) on extruded fiber cross-sectional   results of pressure shown in  Figure S8  (Supplementary
                       ′
            parameters ( rand r′                               File). The average pressure in the fluid domain, whether in
                            2 ) were investigated (Figure 6A and
                       1
            B). Controlled variable methods were employed. When r 2   material phase 1 or material phase 2 within the nozzles, did
                                                               not exceed 1.028e+3 Pa. The maximum pressure in the two
            was fixed at 1.155 mm, increasing the value of r  resulted   domains was below 1.06e+3 Pa. Figure S9 (Supplementary
                                                   1
            in an increase in the proportion of the inner layer distance   File) presents the contour of fluid forces in conventional
            (Table S2 in Supplementary File), as the increase of r  led   printing, with quantified data shown in  Figure S10
                                                       1
            to an increase in the mass flow rate of material phase 1.   (Supplementary File). The average and maximum
            When the value of r  was 3.1 mm, the inner layer distance   pressures in this structured ink were significantly lower
                            1
            equaled 0.21 mm, indicating that the inner layer distance   than those in conventional printing (average pressure in
            accounted for half of the vascular diameter. Subsequently,   conventional printing was 2.465e+5 Pa, as shown in Figure
            the middle layer distance was determined by fixing r  at 3.1   S10A in Supplementary File). Figure 7C and D presents
                                                     1
            mm. As the value of r  increased, the ratio of the middle   the quantified data of average and maximum shear
                              2
            layer distance to the outer layer distance also increased.   stress for r  and r , respectively, with their corresponding
            When r  had a value of 1.155 mm, the ratio of the middle   qualitative  results  of  shear  stress  shown  in  Figure S11
                                                                             2
                                                                       1
                  2
            layer distance to the outer layer distance reached 1:1.   (Supplementary File). The average shear stresses at the
            Thus, the geometric parameters of vascular-like inks were   nozzle wall, the interface between material phases 1 and
            determined.
                                                               2, and the interface between material phases 2 and 3 were
               Fluid forces based on this determined structured ink   6.595e+0 Pa, 5.005e+0 Pa, and 3.381e+0 Pa, respectively.
            were evaluated (Figure 7). Figure 7A and B presents the   The average wall shear stress produced in conventional













            Figure 6. Simulation results of the effect of geometric parameters of preset vascular-like inks on extruded fibers. (A) Effect of r  on the cross-sections of
                                                                                             1
            extruded fibers. (B) Effect of r  on the cross-sections of extruded fibers.
                               2
            Volume 10 Issue 4 (2024)                       248                                doi: 10.36922/ijb.2362
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