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Optimized vascular network by stereolithography for tissue engineered skin






















                                        Figure 5. WSS as a function of the bifurcation geometry.
           using according to equation (5);                    algorithm will minimise the recirculation area and
            Step 5: Get a new l and l  (dashed lines in Figure 6),   thus minimise the trapped nutrient and oxygen. This
                             0
                                  1
           then go to step 1;                                  algorithm was applied to employ rounded junctions
            Step 6: End of the algorithm.                      instead of sharp joints. the STL file of the vascular
            By applying this algorithm, an update vascular system   system will also be generated automatically [18,19]  using
           is shown in Figure 7(B).                            this algorithm.
            From Figure 7(A), it is shown that sharp junctions
           are used in all bifurcation points. These sharp apices   2.3  The design summary and the porous vessel
           at junctions of bifurcated vessels need to be avoided   wall generation
           because they are considered as risk factors for local   To optimise a vascular network embedded in the skin
           mechanical weakness [23] . Rounding the apex at each   patch to supply tissues and cells nutrient and oxygen,
           junction can be one of the solutions. The authors   exchange waste and to support angiogenesis, we
           developed an algorithm of computational geometry for   considered the design criteria in both macro-scale and
           the construction of vascular branches using a rounded   micro-scale.  It can be described as four criteria, which
           apex [18,19] . CFD simulations were also carried out to test   are:
           the design and they concluded that rounded junctions   (a)To maximise the nutrient supply and waste
           in the bifurcation branch result in a more uniform WSS   exchange
           distribution compared to sharp junctions. They also   (b)To minimise the resistance to blood flow
           concluded that the construction generated using their   (c)To ensure the shear stress on the vessel wall is in
                                                               the healthy range
                                                                (d)To avoid the blood recirculation.
                                                                Using the methodology discussed in sections 2.1 and
                                                               2.2; these four criteria can be achieved. Additionally,
                                                               the final construction of the vascular system is easy
                                                               to transfer to the STL file format. Actual blood vessel
                                                               walls are of a semi-permeable material, and thus enable
                                                               diffusion of nutrients, oxygen, waste products and CO ,
                                                                                                             2
                                                               from and to the blood flow. This function is however
                                                               difficult to reproduce with materials compatible with AM
                                                               techniques. Instead, our proposed solution aims to enable
                                                               the diffusion through engineered pores in the vascular
                                                               walls. Because of the limited spatial resolution and
                                                               relatively slow build-up time offered by AM equipment,
                                                               direct manufacturing of capillaries with smaller
                                                               diameters (< 10 µm) is infeasible. The pores were also
                                                               designed to enable angiogenesis – the natural generation
                                                               and growth of new vessels out of the vessel pores. This
                      Figure 6. The correction algorithm       approach allows the smaller capillaries to extend where

           6                           International Journal of Bioprinting (2018)–Volume 4, Issue 2
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