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International Journal of Bioprinting                              Design and optimization of 3DP bioscaffolds










































            Figure 6. Comparison of simulated and experimental cell growth behaviors. The maximum discrepancy between the model and experiments is 4.38%,
            which occurred on day 4.


            the modeling system proves to be a valuable tool for either   should be replaced by others, such as the Michaelis–
            studying the cell growth behaviors or guiding the scaffold   Menten Kinetics model. 42
            design.                                               The velocity field of the nutrient fluid for dynamic
               Although the model is able to predict cell growth   culturing is crucial as it affects the local refreshment rate
            properly at the early stage of cell growth, it may fail to   of the nutrient that determines the amount of nutrients
            simulate the long-term cell growth behaviors as the model   diffusing into the scaffold.  Figure 7 depicts the velocity
            ignores the effects of material swelling. The swelling   field of the nutrient fluid in the dynamic cultivation system
            can  change  the geometry  and  physical  properties  of  the   on days 0, 1, 4, and 7, exhibiting weak variations in time.
            scaffolds, which may reshape the microenvironment   The maximum velocities (4.16× of the inlet velocity) occur
            of scaffolds to facilitate the migration, adhesion, and   at the gaps between the scaffold and the chamber due to a
            proliferation of cells. 40,41  Its impact on cell growth increases   narrowed passing path that can cause fluid accumulation
                                                               and enlarged internal forces. The modeling system takes
            gradually as the cell culturing process proceeds. It is   into account the material porosity of the hydrogel scaffold
            worthwhile incorporating the effect of material swelling to   that depends on molecular weight and degree of curing.
            expand the capability of the modeling system, which will be   Figure 7e–h shows the velocity of a magnified 2D cross-
            addressed in future. In addition, the cell growth behavior   section  in  the  porous  media  region  of  the  scaffold  for
            is governed by the modified Contois equation (Equation   days 0, 1, 4, and 7, respectively. The velocity magnitude
            19) that does not consider the differentiation mechanism   decreases gradually over time, and the maximum velocity
            and the cell agglomeration behaviors. Therefore, the model   is reduced from 1.07 × 10  m/s to 1.92 × 10  m/s from
                                                                                    -4
                                                                                                    -5
            may not be applicable to cells whose growing process   days 0 to 7. Such a reduction is attributed to the occupation
            entails agglomeration phenomena (such as cancer cells),   by proliferating cells in the pores, leading to a decrease in
            and to culturing cases where cell differentiation occurs.   fluid permeability and thus hindering fluid infiltration. The
            In this situation, the cell growth model used in this study   scaffold acts as a strong barrier in the system, and the fluid


            Volume 10 Issue 3 (2024)                       288                                doi: 10.36922/ijb.1838
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