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International Journal of Bioprinting                                     Embedded bioprinting of cartilage




            original state within 2 s (Figure 2d), ensuring that the   properties (12% Gel-CDH solution) and temperature
            printed structure remained in place. Based on the above   (37°C). A significant increase in the flow velocity at the
            analysis, the support bath behaved as a H–B fluid, whose   interface of the nozzle and nozzle hub was observed due
                                             .  n
            shear stress can be expressed as τ = τ  + Kγ , where τ  is the   to the decrease in cross-sections. In the velocity cloud map
                                         y
                                                     y
                                                .
            yield stress, K is the coefficient of viscosity, γ is the shear   at the outlet, it could be observed that the velocity inside
            rate, and n is the flow behavior index. K and n are constant   the nozzle presented a nonlinear, gradient, and symmetric
            for a specific material,  and the values were obtained   distribution (Figure 3b). In addition, the central velocity
                               29
            after fitting the H–B equation with the rheological results   at the outlet increased with increasing inlet pressure, as
            (Table 2).                                         anticipated (Figure 3c). In addition, the extrusion using
               The viscosity–temperature curve implied that the 12%   nozzles with different sizes (22G, 25G, and 27G) was
            Gel-CDH solution was in the form of liquid at temperatures   simulated. Results revealed that larger nozzle diameters
            above 25°C (Figure 2e), which facilitated its extrusion. The   corresponded to higher outlet velocities and mass flow
            Gʹ decreased sharply as the temperature increased, and the   rates (Figure 3d). Additionally, both outlet velocity and
            value of Gʹ approached that of G˝ beyond 25°C (Figure   mass flow rate increased with higher extrusion pressures.
            2f), further confirming that 12% Gel-CDH transitioned   To simulate the disturbance caused by the movement
            from gel to liquid. In addition, there was a proportional   of the nozzle in the support bath, a bidirectional fluid–
            relationship between the shear rate and shear stress of   solid coupling field was constructed, and the impact of
            bioinks as measured by rotational testing at a steady state   the support bath concentration on the printing process
            (Figure 2g). Results indicated that the Gel-CDH solution   was assessed. A constant extrusion pressure of 8 kPa and
            was temperature-sensitive and shear-thinning, and its   a nozzle moving speed of 20 mm/s were applied. A large
            rheological  property  satisfied a power-law fluid  model    flow velocity in the support bath was detected when the
            (τ = Kγ ), where K = 0.018 and n = 0.957, when fitting the   nozzle passed, and the flow velocity of the support bath
                 .  n
            equation with the rheological results. 30          continuously decreased until it returned to a solid state
                                                               as  the  nozzle  moved  away  (Figure  3e).  This  observation
            3.2. Finite element simulation of embedded         verified the shear-thinning and self-healing characteristics
            bioprinting in granular support bath               of the support bath. In addition, higher support bath
            The extrusion process of bioink into the support bath and   concentrations (e.g., 80% vs. 40%) produced a smaller
            the disturbance produced by the movement of the nozzle in   disturbance range in simulation outcomes (Figure 3f),
            the bath were simulated. To model the extrusion process, a   facilitating the stable deposition of bioink. Furthermore,
            2D model of the nozzle was built. The simulation revealed   the  disturbance  range  expanded  as  the  nozzle  moving
            that the temperature at the nozzle outlet reduced from 37   speed increased. For instance, a nozzle moving speed of 20
            to 30°C as the inlet  temperature decreased from 37 to 5°C   mm/s caused 1.6 times the disturbance range than a speed
            (Figure 3a). This result suggests that the heated nozzle at   of 5 mm/s in the support bath with 80% concentration
            37°C ensured an outlet temperature of 30°C even at an   (Figure 3g). Furthermore, the maximum equivalent elastic
            ambient temperature of 5°C. This temperature was above   strain experienced by the nozzle in a support bath with
            the phase transition temperature of the Gel-CDH solution,   80% concentration was 0.0002 mm, which was negligible.
            facilitating its smooth extrusion. The variation in extrusion
            velocity at different air pressures (6, 8, 10, and 12 kPa)   3.3. Influence of printing parameters on
            was simulated using a 27G nozzle with constant material   fiber formation
                                                               The composition of the support bath is one of the
                                                               important factors that determines the quality of embedded
            Table 2. Herschel–Bulkley (H–B) equation parameters for   bioprinting. In this study, sodium alginate was added to
            support baths of different concentrations          prepare G/A microparticles. As a result, a crosslinking

            Support bath   Coefficient of   Flow behavior   Yield stress, τ    strategy that contained enzymatic (gelatin crosslinked with
                                                                                                 2+
            concentration   viscosity, K   index, n  (Pa)  y   TG) and ionic (alginate crosslinked with Ca ) crosslinking
            (%)           (Pa·S )                              was introduced to form IPN hydrogels, which fully utilized
                              n
            80             218.69      0.134      577.87       the residual microparticles in the printed structures to
            70             172.38      0.258      559.31       improve the connection of the fibers. G/A microparticles
            60             112.64      0.331      434.63       with different alginate ratios were used as support baths,
                                                               and the morphology of printed fibers was compared. The
            50             47.70       0.376      343.14       surface of the fiber printed in the support bath with gelatin
            40             15.81       0.497      122.69       microparticles was attached with visible agglomerated



            Volume 10 Issue 4 (2024)                       482                                doi: 10.36922/ijb.3520
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