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International Journal of Bioprinting                                 Fluid mechanics of extrusion bioprinting













































            Figure 2. Different flow regimes for a fluid issuing from a nozzle with (A) We < 1, (B) We ≈ 1 , and (C) We > 1, where the interval between consecutive
                                                                                                            52
            frames at (A) and (B) is ∆t = 5 ms. Abbreviations: We, Weber number; ∆t: time interval between consecutive images. Adapted with permission from ref.
            Copyright © 2009 Cambridge University Press.



               The velocity of a filament at the outlet of the nozzle   the flowing solution, leading to deformations in the cell
            is  controlled  by  the  extrusion  pressure  or  the  piston/  membrane and further impacting cell viability and stability
            screw linear/angular velocity. The difference between the   after printing. 36,61,62
            filament velocity (U ) and printing head horizontal-moving   A study  on cell viability in pneumatic and screw-
                                                                        34
                           s
            speed (U ) affects the diameter of the printed filament.   driven  bioprinting  processes indicate  that despite  the
                   p
            Theoretically, if these velocities are equal, the diameter of   higher accuracy of screw-driven bioprinting, it can result
            the filament will be the same as that of the nozzle. If U  >
                                                        p
            U , the filament will be stretched during printing, resulting   in a higher percentage of cell damage in comparison
                                                               with pneumatic bioprinting. Nevertheless, stresses inside
             s
            in thinner or even discontinuous filament deposition.   the nozzle play a primary role in the survivability and
            When U  < U , a thicker filament and material bulge are
                       s
                   p
            formed at the front edge of the needle. 36         viability of cells during the extrusion printing process.
                                                               These stresses originate from the velocity gradients in
            2.3 Cell viability in extrusion bioprinting        the bioink flowing through the nozzle that deform the
            Printing of a cell-laden fiber involves the transmission of   cells. The extent of cell injury depends on the magnitude
            thermal and mechanical energy from the printing head   and duration of the applied stresses.  Typically, cells can
                                                                                            63
            to  the  bioink,  which  can  influence  the  cell phenotype   endure stresses to a certain extent through adaptation
            and viability (e.g., by interacting with DNA), damage   mechanisms; nonetheless, if the stresses exceed the cell’s
            cell membrane, or alter the osmotic equilibrium between   capacity to withstand them, irreversible damage can
            cells and the environment.  The primary damage to   occur, resulting in cell death. 64,65  High shear stress is one
                                   60
            cells  occurs  due  to  the  force  or  stresses  induced  within   of the most detrimental factors that reduces cell viability
            Volume 10 Issue 6 (2024)                       119                                doi: 10.36922/ijb.3973
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