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International Journal of Bioprinting                                 Fluid mechanics of extrusion bioprinting



                      (A)

























                      (B)                                        (C)























                      Figure 4. Parameters and outcomes of Chirianni et al.  model for cell damage prediction. (A)
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            Figure 4. Parameters and outcomes of Chirianni et al.  model for cell damage prediction. (A) Equivalent area (A ) versus nozzle cross-sectional area
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                                                                                      eq
            (A). Qualitative description of the model parameters effect on cell distribution and A  in Equation XII. (B and C) Comparison of cell damage prediction
                                                                  eq
                                          ) versus nozzle cross-sectional area (). Qualitative description of the model
                      Equivalent area (
            by Chirianni et al. using the model (or  Equation X) and the experimental results reported by Han et al.  (Scenario 1) and Li et al.  (Scenario 2) for
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            (B) printing with a given nozzle diameter and various printing pressures, and (C) given printing pressure and various nozzle diameter. Reprinted with
            permission from ref. , Copyright© (2024) Elsevier.     in Equation XII. (B and C)  Comparison of cell
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                      parameters effect on cell distribution and
               Herschel–Bulkley  fluids  are  suitable  for  extrusion   to be transported without experiencing shear stress.  When
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            bioprinting because their viscosity changes favorably,   cells are incorporated into the bioink, the yield stress helps
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            enhancing cell viability and printability. Additionally, their   maintain the uniform distribution of the encapsulated cells,
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            yield stress prevents dripping from the nozzle, improving   promoting homogeneity,  Bioinks with low yield stress are
            shape fidelity after printing. If shear stress is lower than   susceptible to issues like cell settling or phase separation.
            the yield value, there is no movement in the fluid, thus   Conversely, high-yield stress can potentially have adverse
            preventing drips in bioprinting. Another benefit of utilizing   effects on cells when the flow is initiated. 88,89
            fluids with yield stress as bioinks is the formation of a plug   While power-law, Carreau, or Cross fluids are not
            flow region within the central area of the dispensing needle.   classified  as  yield  fluids,  their  high  limiting  zero-shear
            In this region, shear stress is reduced to zero, allowing cells   viscosity resembles yield behavior to some extent. At low
            Volume 10 Issue 6 (2024)                       124                                doi: 10.36922/ijb.3973
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