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International Journal of Bioprinting                             Curved cell-guided structures printed by FDM



            than the other groups (P < 0.01), while the migration   investigated the process of cell migration in the experiment.
            speed of R3 was significantly faster than SL (P < 0.05). The   Cells polarize and form tentative pseudopodia at the front
            average single-cell migration speed was the average ratio   to create adhesion points during migration . When a cell
                                                                                                 [39]
            of the cell migration distance (Li) to the observation time   encounters a boundary that cannot cross, it will retract
            (t) (Figure 4D). The average single-cell migration speed   the original pseudopodia and form a new one in the other
            first increased and then decreased with the increasing   direction to change  the  migration direction  due  to the
            channel radii, reaching the maximum in R2, albeit only   force between the cell and the channel wall. Therefore, we
            having a significant difference with straight channels (P   inferred that the curvature mainly influenced the force
            < 0.05) (Figure 4E). Notably, the trends of the front-end   of cell–boundary interaction and the number of invalid
            speed of collective cells and single-cell migration speed   pseudopodia (need to retract and form a new one) to
            with curvature were consistent, and the front-end speed   regulate the cell behavior (Figure 5C). The forces generated
            of collective cells speed was smaller than the single-cell   from cell–boundary interaction were proportional to the
            migration speed at the same curvature.             area of the cell intersecting the boundary. The invalid
                                                               pseudopodia were generated from the node of the cell
            3.4. Simulation of cell migration in curved channels  perimeter within the boundary. Therefore, the accumulative
            The migration of cells in curved channels was simulated   intersection area and the number of invalid pseudopodia
            based on the modified Odde’s model, which considered   were recorded during the simulation, and their correlation
            the external force generated by cell–boundary and cell–cell   with cell migration speed was analyzed to prove the
            interactions (F ), the force acting on the cell body from   hypothesis. The results showed that the accumulative
                        ext
            the substrate (F ), the force acting on modules from the   intersection area was positively linear and correlated with
                        cell
            substrate (F mod ), and membrane tension (F mem ), with force   cell migration speed (Figure 5D). The number of invalid
            balance in Cartesian coordinates to calculate cell migration   modules was negatively allometric correlated with the cell
            (Figure 5A). The adhesion proteins (fibronectin) were   migration speed (Figure 5E), indicating that our hypothesis
            strained to ensure that the external force generated by cell–  was accurate.
            boundary and cell–cell interactions was exist (Figure S2).
                                                                  Altogether, the abovementioned results demonstrated
               First,  the  migration of  cells  in  curved  and straight   that the M-22 cells can sense and respond to curved
            channels with a width of 100 μm was simulated and   structures with curvature on the millimeter scale.
            compared to the experimental results to estimate the
            model’s applicability. The magnitude of the migration speed   4. Discussion
            of all groups in the simulation was close to the speed of the
            experiment, and the trend of change in migration speed   Most cells grow in a curved topographic environment that
            with curvature was also consistent with the experimental   can impact their behavior and function. Meanwhile, the
            findings, indicating that the model can accurately describe   structures of the curved scaffolds can affect the activities
            the migration of cells in the curved channels (Figure 5B).  of the seeded cells, which is crucial for the success of
                                                               tissue engineering. The curvatures at the organ level
               Subsequently, the cell migration in the channels with   (millimeter scale) sensed by cells are approximately planar.
            different widths (D = 50, 100, 150, and 200 μm) and   However, most of the research was concentrated on the
            various radii (R = 1.5, 2, 2.5, 3, and infinite mm) was   effect of micro- and nano-scale spatial curvature on cells,
            simulated. Interestingly, the maximum migration speed   underestimating  the  importance  of  milli-scale  planar
            was observed at various radii when the width of channels   curvatures. In this study, planar channels with 1.5, 2, 2.5, 3,
            was different. The cell migrated the fastest at R1.5 when the   and infinity (straight line) mm in radius, 100 μm in width,
            channel width was 200 μm, but migrated fastest at R2 when   and 150 μm in depth were printed on the silicide glass sheets
            the channel width was 150, 100, and 50 μm. The radius   to investigate the effect of planar milli-scale curvature on
            corresponding to the maximum migration speed increased   the proliferation, morphology, orientation, and migration
            as the channel width decreased, implying that the width   of  the  spindle  cells  (M-22  cells). We  demonstrated  that
            of  the  induced  channel  and  the  relative  size  of  the  cells   the curved channels had a more significant impact on the
            affected the migration speed of cells in the channels with   cells than straight channels, with differences between
            the same curvature. Moreover, the migration speed was   the curved groups. The cell proliferation and migration
            increased with a decrease in channel width at the same   speed first increased and then decreased with increasing
            curvature, which was consistent with the experiment in   channel radius, reaching a maximum in group R2. The
            reference .                                        cells were first round in shape and then elongated as the
                   [38]
               Furthermore, the mechanism by which curvature   radius increased, and were roundest at R2. The orientation
            affected  cell  behavior  was  explored.  We  observed  and   angle fluctuated with increasing radius, and cells were the


            Volume 9 Issue 3 (2023)                         45                         https://doi.org/10.18063/ijb.681
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