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International Journal of Bioprinting                                          Core-shell bioarchitectures



            and hinder their scale-up; they are time-consuming and   2. Materials and methods
            expensive to generate and maintain. Moreover, they suffer   Alginate, a widely used material in bioprinting [21] , was
            from a lack of reproducibility which is in part intrinsic to   used as the base material for its biocompatibility and
            the self-assembly process and to the fact that protocols   rapid physical gelation after extrusion was used as the
            vary from laboratory to laboratory [18,19] .
                                                               base material for its biocompatibility, mildness, and
               The bioprinting of structured core–shell constructs   fast gelation after extrusion. Other materials considered
            (CSCs)  using  standardized cell  lines  can  be  an optimal   in our models and experiments were air, water, and
            solution to overcome these limitations, as it enables the   Pluronic. The material properties and core–shell materials
            generation of curved 3D structures which can be controlled   combinations analyzed are reported (Section  S1
            in terms of material composition, size, and lumen/external   in Supplementary File). In this study, we used two
            diameter ratio . Bioprinting is a process based on 3D   commercial coaxial needles (Ramé-hart Instrument Co.,
                        [20]
            printing techniques that exploits the combination of cells,   USA): needle 1 with an inner diameter (ID) = 26 Gauge
            adhesion factors, and biomaterials to produce constructs   (0.254 mm) and an outer diameter (OD) = 19 Gauge
            for mimicking the characteristics of a tissue and includes   (0.69 mm), and needle 2 with the same ID and an OD =
            a wide range of techniques based on droplet or filament   16 Gauge (1.19 mm).
            extrusion and deposition . Cell-laden drops or filaments
                                [21]
            constitute simple 3D structures that are further crosslinked   2.1. In silico modeling of the CSCs fabrication
            to maintain their shape, while more complex architectures   In the in silico workflow, the initial shell and core extruded
                                                                                *
            can be obtained by layer-by-layer deposition. Several   drop radii (R and  R ) were estimated as a function of
                                                                                c
                                                                          s
            fabrication strategies in the literature are almost exclusively   the extrusion flow rates and material properties (surface
            based on the use of alginate which undergoes rapid   tension γ and dynamic viscosity μ) by numerically solving
            gelation in contact with divalent cations . Techniques   the  surface  tension–gravity–flow  force  balance  equation
                                              [22]
            range from coaxial electro-dropping to microfluidic and   (detailed in  Section S2 in Supplementary File). Despite
                                                                                                       [29]
            in air-microfluidics with applications in drug delivery,   the complex nature of the hydrodynamic problem , this
            drug release, and therapy and tissue engineering [23–26] .   simplified approach enabled the estimation of initial R  and
                                                                                                          s
                                                                *
            For instance, a flow  focusing microfluidic  device was   R , minimizing the computational cost. Surface tension
                                                                c
            used to encapsulate a soft cell-collagen core in an alginate   was measured with a tensiometer (Optics Theta Lite, Biolin
            shell. The solutions were extruded in a continuous oil   Scientific, Sweden) using the pendant drop test, while
            flow containing Ca  ions, allowing shell gelation and the   dynamic viscosity was characterized using a viscosimeter
                           2+
            formation of CSCs with an average diameter of 380 μm .   (Brookfield DV-II+ Pro, AMETEK Brookfield, Germany)
                                                        [27]
            Gelatin methacrylate (GelMA) has also been used to   equipped with an LV1 spindle, at 37°C (see Section S2 and
            encapsulate cells in a methyl cellulose core. The polymers   Tables S1 and S2 in Supplementary File), at a shear rate of
                                                                       -1
                                                                     3
            were extruded in oil, and the GelMA shell was crosslinked   1.3 × 10  s .
            by  ultraviolet  (UV)  radiation,  obtaining  core–shell   The radii derived for each combination of core and
            microgels with diameters of around 278 μm .        shell materials were used as initial values to define the
                                               [28]
               Some of these strategies are equipment-intensive, and   geometry of an axial symmetric finite element method
            the majority are limited in terms of their dynamic range   (FEM) model implemented in Comsol Multiphysics
            and compatibility with cell encapsulation. The novelty of   6,  solving  the  reaction–diffusion  equations  for the
                                                                                         2+
            our approach is the integration of computational methods   transport of diluted species (Ca  ions) from an external
            with coaxial bioprinting strategies for the fabrication of   fluid domain to porous media domains representing the
            structured luminal bioarchitectures using a variety of cell-  alginate shell and core, respectively. The formation of
                                                                                 2+
            compatible materials. This enables the a priori definition   G-blocks during Ca -mediated alginate crosslinking
            of a working window, thus minimizing experimental   (Equation  I)  was  implemented as a  second-order
            time and cost. Here, we describe the integrated workflow,   reaction since it depends on both the concentration
                                                                    2+
            exploiting the COre-Shell MIcrobead Creator (COSMIC),   of Ca  ions and the concentration of non-crosslinked
            which was designed for bioprinting cell-incorporated CSCs   alginate [30,31] .
            in a repeatable manner and with a wide range of materials                                      (I)
            (Figure 1B), resulting in a variety of structures with solid
            shells and either solid, liquid, or air-filled cores, capable
            of  replicating  different  biological  interfaces.  As  a  proof   Where  k is the reaction rate of the gelation,  c Ca 2+ is the
            of concept, a core–shell multilayer barrier model with   concentration of Ca  and c  is the initial concentration of
                                                                              2+
                                                                                    Alg
                                                                                      0
            alveolar epithelial cells and fibroblasts was generated .  un-crosslinked alginate [30,31] . An apparent diffusion coefficient
                                                      [29]
            Volume 9 Issue 5 (2023)                        435                          https://doi.org/10.18063/ijb.771
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