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International Journal of Bioprinting                                     Using droplet jetting for bioprinting



























                                            Figure 4. Result of droplet impact on liquid surface.

            transferring cells [21,72,73] . Due to their hydrophilic properties   concentrations, the sphere either rebounds or penetrates
            resembling biological tissue, hydrogels are polymeric   the gelatin substrate depending on concentration . The
                                                                                                       [57]
            materials that have found extensive use in drug delivery   projectile striking the substrate causes a fracture in both
            systems , implants, and tissue engineering [75,76] . The state   situations.
                  [74]
            of hydrogel is dynamic with its sol–gel transition elicited   An example of a liquid projectile penetrating a
            by interactions such as covalent and noncovalent bonding,   viscoelastic substrate occurs during jet injection as shown
            electrostatic interaction, temperature, pH changes, ionicity,   in needleless drug delivery models [56,83,84] . The main
            oxidation state, and enzyme addition [77,78] . Since hydrogel is   determinant of whether a projectile is penetrative or not
            comprised mainly of water, it may seem natural that water   is  whether  the  jet  velocity  exceeds  a  critical  value.  As
            should spread on this substrate as it is soft and permeable.   described by Park et al. , jet injection consists of three
                                                                                  [85]
            Water droplets, on the other hand, have a nonzero contact   phases: jet impingement, flow into skin, and dispersion
            angle with a hydrogel surface due to the presence of free   under skin. The jet creates a hole on the viscoelastic
            polymer chains at the gel interface . It has been observed   substrate when impact pressure is greater than the strength
                                       [79]
            that the interaction between sessile droplet and the   of substrate. For a typical skin strength of 20 MPa, velocity
            hydrogel surface develop a contact line that exhibits both   of projectile  v  ~ 15 m/s is sufficient to create an impact
                                                                           p
            pinned and receding regimes.                       on the skin [85-87] . The depth of the jet’s penetration is
               According to Kajiya et al. , a droplet would initially   determined by the Young’s modulus, critical stress for
                                   [80]
            display a pinned contact line. As a result of the solvent   failure, fracture toughness, and hardness of the substrate,
            diffusing into the hydrogel below, the contact angle   such as skin and its equivalents.
            between the liquid and the hydrogel is reduced while the   The kind of laser, the energy of the laser pulse, and
            slope  of the hydrogel’s  surface close to the contact line   the  capillary  width  all  affect  the  jet  power  and  velocity
            increases. The contact line will recede and balance when   for optical-based jetting systems. Continuous wave lasers
            the contact angles are almost equal. The diffusion of water   deliver jet in the range of 20–100 m/s, while jet velocity
            into the polymeric surface, which causes the hydrogel to   of pulsed lasers are higher and in ranges from 100 to
            swell, can be used to explain how a surface gradient or   300 m/s . Mechanical and electromechanical inputs such
                                                                     [84]
            slope forms close to the contact angle .           as spring (100–150 m/s), compressed gas (100–400 m/s),
                                          [80]
               Impact work with viscoelastic substrate has been   and piezoelectric (20–400 m/s) have been explored as
                                                                                      [84]
            conducted using solid spheres such as silica , copper   energy sources for jetting . Comparatively, droplet
                                                 [81]
            substrate , and steel . In general, the elasticity of a   velocity from inkjet technology ranges from 1 to 20 m/s,
                   [57]
                              [82]
            substrate influences the cavity formation when a projectile   depending on the composition of ink and types of actuating
            strikes a viscoelastic substrate, such as gelatin. Gelatin, a   system [60,88] .
            viscoelastic material, is often used as an analogous material   Impact velocity, with relative to the substrate, mainly
            for understanding a ballistic projectile. When studying the   determines the outcome whether the projectile is
            projectile of a copper sphere impacting gelatin with varying   penetrative or nonpenetrative as demonstrated in the

            Volume 9 Issue 5 (2023)                        196                         https://doi.org/10.18063/ijb.758
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