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



            the actual interactions are far more complicated. Cellular   200 and 400 nm. Fibers with 50–2000 nm in diameter can
            interactions include not only mechanical forces but a series   influence the migration speed of mouse mesenchymal stem
            of signal transformations [47,48] .                cells, and the maximum migration speed was observed
                                                                                            [58]
               Moreover,  recent  research showed that  cells  tend   with the fibers with 800 nm diameter .
            to leave long-lived physicochemical footprints along   Interestingly, the cells are mainly directed by one of
            their migration trajectories, which can alter the path of   the  curvatures  when  two  different  scales  of  curvature
            themselves and other cells . This phenomenon should   guide the cells simultaneously. Research has shown
                                  [49]
            be transformed into a mathematical description and   that mesoscale curvature can overrule the influence of
            considered in a model in the future. Besides, the cells were   nanoscale curvature . Cell alignment and migration were
                                                                               [59]
            regarded as a circle in this model, which did not correspond   governed by the nano-scale fibers (diameter: 100–200 nm)
            to spindle cells in the experiment and caused inaccuracy   when the curvatures of the cylindrical surfaces were low
            between the experiment and the simulation.         (diameter > 1000 µm), and the cells increasingly aligned
                                                               and migrated along the axis of the cylindrical surface as
            4.4. Effect of curvature ranging from nano-scale to   the surface diameter decreased (diameter: 250–1000 µm).
            milli-scale on the cells
            Curvatures can influence the cell’s behavior on the   5. Conclusion
            nanometer to the millimeter scale. The curved structures
            at the supracellular scale only directly affect the cells near   In this study, channels with customized curvature and width
            the curved pattern and indirectly impact the farther cells   were  printed  using  a  two-stage  temperature-controlled
            via cell–cell interactions . Subcellular or cellular-scale   FDM method, and the effect of millimeter-scale curvature
                                [50]
            curvature can directly contact and impact the cells .  of curved channels on the proliferation, morphology,
                                                    [5]
                                                               orientation, and migration of M-22 cells was systematically
               Supracellular curvature can affect the cell’s behavior,   investigated in vitro. The experimental results indicated that
            especially in cell migration. Myoblasts migrated parallel   the cells significantly changed their morphology and aligned
            to the longitudinal direction of the hemicylinder-shaped   along with the curved channels; the proliferation, single-cell,
            non-planar surfaces with diameters of 3–50 mm, and   and front-end speed of collective cells were all increased on
            cell  differentiation and  orientation were  also  augmented   these curved structures, compared with the straight and
            on the surfaces . In this study, we investigated the   unstructured counterparts. Moreover, the migration of
                         [11]
            effect of curved channels with radii of 1.5–3 mm on cell   cells in curved channels with varying widths and radii was
            proliferation, morphology, orientation, and  migration,   numerically simulated, with the results showing that the
            with the results showing that the curvature can influence   channel width and relative size of the cells could influence
            the aforementioned cell behaviors in this range. The   their  response  to  curvature.  Our  simulation  results  also
            curvature slightly larger than cells (tens to hundreds of   demonstrated the mechanism involved, i.e., curved channels
            microns) can facilitate the alignment of cells [51,52]  and   can affect the cell–boundary interaction force and the
            change the migration trajectories and speed [53,54] .  number of valid pseudopodia to regulate the cell behavior.
               Curvatures at the cellular scale (a few microns to a   Our findings proved that the cells could sense and respond
            dozen microns) can impact cell behavior, particularly can   to  planar millimeter-scale  curvatures  and revealed the
            directly  change  the  morphology  and  distribution  of  the   underlying mechanism of this phenomenon. To the best of
            cells. Cells avoided convex regions when migrating, and   our knowledge, this is the first time that the effect of planar
            positioned themselves in concave valleys (radius: 1–30 μm,   milli-scale curvature on the cells has been explored. It
            period: 10, 30, and 100 μm) . Similar research showed   provides a practical and straightforward way to manipulate
                                   [55]
            that the convex regions (radius: 10 µm, period: 100 µm)   cell behavior with millimeter-scale features rather than
            acted as topographical barriers to control the organization   manufacturing expensive and complex micro-and nano-
            of the actin cytoskeleton and nuclei, as well as the collective   patterns. The finding mentioned above, wherein milli-scale
            migration and orientation of cells .               curvature  can  promote the proliferation, orientation,  and
                                      [56]
                                                               migration speed of cells, can be applied to the design of
               Subcellular scale curves mainly regulate the spreading   tissue scaffolds and facilitate tissue repair in the future.
            area, orientation, and migration speed of cells. Grooved
            substrates with radii ranging from 10 to 400 nm can increase   Acknowledgments
            the spreading area of the mouse embryonic fibroblasts, but
            reduce their polarization (aspect ratio) when the radius   We would like to thank Professor Po-Jen Shih of National
            increased to 200 nm . Only weak impact was put on the   Taiwan University for answering our questions on the
                            [57]
            cell spreading area and polarization when the radius was   computational model of cell migration.

            Volume 9 Issue 3 (2023)                         48                         https://doi.org/10.18063/ijb.681
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