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



            1. Introduction                                    form the induced patterns in the present study; siliconized
                                                               glass, which adheres well to both cells and PCL, was
            Most  native tissues contain  curved architectures  to   selected as the substrate.
            maintain their mechanical and physiological function,
            and the curved topographic environment is expected to   Several  computational  models  have  been  proposed
            influence the behavior and function of the surrounding   to pursue the mechanism of how curvature affects
                                                                          [27]
            cells [1-3] . The curvature changes in the tissues have been   cell behavior . Finite element methods used thermal
            found to lead to severe diseases, such as asthma induced   stress to replicate cell contraction and calculate the
                                 [4]
            by the airway narrowing , distorted vision due to the   direction of the maximum principal stress, which
                                           [5]
            keratoconus bulging or flattening , and vertebral   was found to be a governing factor in determining the
            disorders caused by the spine bending . Furthermore,   orientation and migration of collective cells on the
                                            [6]
            the curved structures of artificial tissue engineering   curved channels [28,29] . Energy minimization methods can
            scaffolds can affect the behavior of seeded cells, which   forecast the morphology changes of cells [30,31] . In addition,
            is crucial in clinical and biomedical applications [7-9] .   cell migration can also be calculated by vertex-based
            Recent studies focused on the effect of micro- and   methods that mesh individual cells into numerous nodes
            nano-scale spatial curvature on cells, showing that the   and analyze each node’s migration direction and distance
            cellular-scale curved structures can alter the adhesion [10] ,   according  to  the  condition  of  force  equilibrium [32,33] .
            orientation [11,12] , migration [13,14] , and gene expression [15]    Odde’s model was based on one of the vertex-based
            of cells. However, the tissue curvatures perceived by   methods, which was developed to investigate the
                                                                                                 [34]
            cells are also present on a millimeter scale [16] . Therefore,   influence of substrate stiffness on cells . Shih  et  al.
            it is essential to probe the influence of millimeter-scale   modified Odde’s model by increasing the force of cell–cell
            curved structures on cells.                        and cell–boundary interactions and making it suitable
                                                               for simulating cell migration in a confined 2D space .
                                                                                                           [35]
               A suitable method is required for the fabrication of   However, none of them have been used to stimulate cell
            millimeter-scale structures. Various methods have been   behavior on curved channels.
            employed to fabricate curved structures to guide cell
            behavior, including photolithography and mold [17,18] .   Here, we aim to explore the effects of planar milli-scale
            However, the main disadvantages of photolithography and   curved channels on the cells. PCL curved structures with
            mold are high manufacturing costs and the inability to   radii 1.5, 2, 2.5, 3, and infinite (straight) mm were printed
            change the designed patterns. As one of the 3D printing   onto the siliconized glass sheets by FDM to observe the
            technologies, fused deposition modeling (FDM) extrudes   proliferation, morphology, orientation, and migration
            and deposits the melted thermoplastic materials with   of cells within these channels. The glass sheet without a
            designed patterns layer by layer and then solidifies them   pattern was used as a control. Our results revealed that
            by cooling . The most crucial feature of FDM is that it   the cells behave distinctly under the guidance of different
                    [19]
            can flexibly print the structures with desired shapes at a   curvatures. Also, we investigated the underlying mechanism
                   [20]
            low cost . The diameter of fibers printed by FDM was   of cellular curvature sensing observed in the experiments.
            greater than 200 μm in most previous studies. For instance,   A  computational  model  based  on  force  equilibrium  was
            Zhang et al. fabricated the meniscus scaffold with 300 μm   developed to simulate the migration of cells in the curved
                                                [21]
            diameter poly(ε-caprolactone) (PCL) fibers . Ji  et  al.   channels and served as an experiment complement to
            printed curved PCL fibers with 460–516 μm in diameter   decipher the key factors in the process of cellular response
            to enhance mesenchymal stem cell osteogenesis . Cells   to curvature. Our simulation results demonstrated that the
                                                   [22]
            can perceive the topographic structures with dimensions   effect of curvature on cells originated from the change in
            comparable to their own [23,24] . Two-stage temperature   the cell–boundary interaction forces and the number of
            control, which uses two heating blocks to reconcile the   valid pseudopodia generated by the cells. Together, our
            flowability and formability of the thermoplastic materials,   findings provide a simple and effective way to manipulate
            is an effective way to obtain precise and homogeneous   cell behavior with curved channels, opening new avenues
            fibers with a diameter of ~100 μm in FDM. Thus, FDM is   for the design of artificial tissues with desired geometric
            an effective way to fabricate curved structures.   features.
               PCL has been approved by the U.S. Food and Drug
            Administration (FDA) as biomedical material due to   2. Materials and methods
            its fantastic biocompatibility, biodegradability, and   The experimental procedures for investigating the effect of
            environmental friendliness [25,26] , and it is thermoplastic and   curvature on cell proliferation, morphology, orientation,
            suitable for FDM printing. Therefore, PCL was chosen to   and migration are represented in Figure 1.


            Volume 9 Issue 3 (2023)                         39                         https://doi.org/10.18063/ijb.681
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