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International Journal of Bioprinting                                          Optimizing inkjet bioprinting




            Table 1. Summary of cellular response to shear stress
             Cells                  Duration         Shear stress     Response                   References
             Embryonic stem cells   24 h             1 Pa             Cell differentiation       52
             Hybridoma cells        Up to 15 h       0.16 Pa          Increase in lactate dehydrogenase   53
                                                                      release
             Erythrocytes           Milliseconds     450–560 Pa       Hemolysis                  56,57
             Erythrocytes           10 µs            Up to 4000 Pa    Normal                     58,59
             BHK-21/C13 cells       2 h              10 Pa            Decrease in viability      60
             BHK-21/C13 cells       <1 h             Up to 80 Pa      Changes in cell morphology, but no   60
                                                                      significant loss of viability
             Erythrocytes & leukocytes  Milliseconds  30–90 Pa        Low decrease in viability  61
             Primary human breast cells   Milliseconds  30–90 Pa      Substantial loss of viability  61
             (HMEC) and primary human
             prostate epithelial cells (PrEC)
            *A typical shear stress of order 300 Pa is obtained for a characteristic time of 10  s based on the typical print chamber and ink properties.
                                                              -5
            transformed cell lines, and metastatic derivatives, was   come into play to achieve this, including overcoming the
            investigated under shear stress conditions ranging from   fluid’s inertia, accelerating the droplets, and dealing with
            30 to 90 Pa and lasting for milliseconds.  The decrease   viscous resistance in the nozzle. The dynamic pressure
                                              61
            in cell viability varied significantly depending on the cell     1  2

            state and its state; both erythrocytes and leukocytes, which      p   u  is associated with overcoming the inertia
                                                                 d
                                                                   2

            are blood cells, showed relatively low decrease in viability                              du
            under shear stress. In contrast, non-blood primary   of the fluid; unsteady pressure   p   L n   and
                                                                                                a
                                                                                                       dt

            cells, specifically primary human breast cells (HMEC)   capillary pressure  (p  2 cos / R  ) are responsible
                                                                                 c
                                                                                             n
            and primary human prostate epithelial cells (PrEC),   for accelerating the droplet; the viscous pressure
            experienced a substantial loss of viability, with some cases   (p  8η L uR 2 )  is associated with overcoming the
                                                                         /
                                                                           n
                                                                       n
                                                                 v
            showing viability as low as 2% of the total population. Non-  viscous resistance in the nozzle. Here a ρ, µ, η, and σ are
            transformed cell lines were found to be more sensitive to   the fluid density, droplet velocity, dynamic viscosity, and
            shear stress compared to cancer cell lines.  This sensitivity   surface tension, respectively; R  is the nozzle diameter, L
                                             61
            was influenced by whether the cells had undergone a                         n                    n
            transformation process. Cells transformed via specific   is the characteristic length scale, and   du  is the change in
                                                                                              dt
            methods such as myc/PI3K or H-ras exhibited higher   fluid velocity with respect to time.  For most bioprinting
                                                                                           62
            resistance to fluid shear stress compared to wild-type   applications, these typically are  ρ = 1000 kg/m ,  η  = 1
                                                                                                      3
            PrEC cells and isogenic immortalized, non-transformed   mPa·s, and  σ = 0.07 N/m for pure aqueous solutions;
            controls. It was also found that the resistance of cells to   R  = 15 µm, L  = 50 µm, and characteristic time scale of
                                                                n
                                                                          n
            fluid shear stress was not strongly correlated with their cell   ejection is in the order of 10 µs to generate a droplet velocity
            size or cell cycle state. Instead, it was highly dependent on   of 5 m/s. The order of magnitude of the pressures in the
            the extracellular calcium concentration.  The composition   print  chamber  required  to  eject  a  drop  can  be  deduced
                                           61
            of the bio-ink used in bioprinting played a significant role   from these values: p  = 13 kPa, p  = 25 kPa, p  = 9 kPa,
                                                                                                     c
                                                                               d
                                                                                          a
            in influencing cell viability under shear stress conditions.   p  = 9 kPa, which is equivalent to a total pressure of 56
                                                                v
            Using a calcium-free bio-ink led to a notable reduction in   kPa for successful ejection of a drop. Understanding these
            cell viability, even at low shear stress levels of 50 Pa with a   pressure considerations is essential for the design and
            10 ms exposure to shear.  These findings emphasize the   operation of print chambers in bioprinting to ensure the
                                61
            importance of cell type, transformation state, and bio-ink   precise and controlled ejection of fluid droplets.
            composition during cell printing. Understanding these
                                                                  From the typical print chamber and ink properties,
            factors is crucial for maintaining cell viability and ensuring   a typical shear stress of order 300 Pa is obtained for a
            the success of bioprinting applications.
                                                               characteristic time of 10  s. A previous study investigated
                                                                                  -5
               The primary function of the print chamber is to   cell exposure to similar shear stress magnitudes but for 100
            provide the necessary momentum for ejection of a precise   times  longer.   Assuming  a  power  law  viability  vs.  shear
                                                                         61
            volume of fluid droplets from the chamber. Several factors   time model of cell viability (Equation VII), and a shear
            Volume 10 Issue 2 (2024)                       188                                doi: 10.36922/ijb.2135
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