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International Journal of Bioprinting                               Multi-material bioprinting with OCT imaging



            matching model can be obtained with the multi-material   the initial values of the AET of nozzle 1 was T , and the
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            static model. The model is used to determine the printing   AET of nozzle 2 was T . Then, T  was updated according to
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            parameters of the same filament metrics under printing   the under-extrusion result. Suppose the separated distance
            parameters to design printing path better so that the   between materials at the connection point at this time was
            printing structure is registered with the target structure   L, as shown in Figure 3A1 and the speed of nozzle 2 was V ,
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            with high precision.                               then the additional time for nozzle 2 was
               Specifically, the layer thickness was designed as H for   L
            the process requirements, and printing parameters of   t   V  .                              (I)
            the materials required for the process were determined     2
            using the multi-material static model (i.e., the printing   The AET for nozzle 2 was updated to:
            parameter with the largest  S). Then, the filament size   T 2  T 2   t .                   (II)
            printed by the materials required under the corresponding
            printing parameters can be obtained using the static   When the ending point of nozzle 2 was connected with
            model. Suppose the filament size of material 1 is 2 * d1 and   the ending point of nozzle 1 (common-ending-point), as
            that of material 2 is 2 * d2 and the path is designed with a   shown in Figure 3A2, the initial values for ATEP of nozzle
            target distance d between the connecting positions of two   1 and nozzle 2, namely X  and X , were first set. When over-
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            materials, the adjusted distance between the two materials   extrusion was found in the print result, X  was updated to:
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            is dʹ = d1 + d + d2.                                  X 2   X 2   L ,                      (III)
            2.4. Time-related control model                    where Xʹ was the updated value of X . The update process
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            Multi-nozzle printing requires distributing different   continued until good extrusion could be obtained in the
            materials by constantly switching nozzles. For example,   result. We found that usually only one or two cycles of such
            the moving speeds of nozzle 1 and nozzle 2 were V  and   parameter correction was needed to achieve high precision.
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            V , respectively; nozzle 2 was switched on to print after
             2
            the path of nozzle 1 was finished. In the connection point   2.4.2. Ending/starting-point-starting/ending-point
            between nozzles, the printing strategies could be divided   model (model 2)
            into two categories: (i) nozzle 1 and nozzle 2 were at same   When the ending point of nozzle 2 was connected with
            point when starting or ending printing, i.e., the starting (or   the starting point of nozzle (ending-point-starting-point),
            ending) point of nozzle 2 was connected to the starting (or   as show in Figure 3B1, the AET of nozzle 1 (T ) and the
                                                                                                     1
            ending) point of nozzle 1; (ii) nozzle 1 and nozzle 2 were   ATEP of nozzle 2 (X ) were controlled to solve the problem
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            at different points when starting or ending printing, so the   of under-extrusion and over-extrusion at the connection
            starting (or ending) point of nozzle 2 was connected with   point between nozzles. Good extrusion effect could be
            the ending (or starting) point of nozzle 1. At this point,   achieved for this point after one or two cycles of parameter
            due to the extrusion delay of nozzles, two problems may   correction.
            occur in the printing result, one was the paths of extruded   When the initial values for T  and X  were both 0, in
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            materials are separated (under-extrusion), and another   the first case, there was a separated path between the two
            was the paths of extruded materials are overlapped (over-  materials, and the distance was L. Suppose the speed of
            extrusion). Therefore, the parameters of nozzle should be   nozzle 1 was V , the AET of nozzle 1 should be optimized as:
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            controlled, that is, taking the time of advance extrusion   L
            (AET) at the starting point and the position of advance   T 1   .                           (IV)
            termination of extrusion (ATEP) at the ending point. Based   V 1
            on the print result, these parameters function as control   In the latter case, the printing result showed overlapping
            variables to establish different models. These models will   paths between extruded materials, as shown in Figure 3B2.
            be used to avoid the trial and error in artificial correction   The ATEP of nozzle 2 need optimized while the AET of
            of parameters, and obtain the target path of extruded   nozzle 1 was kept unchanged. The X  for nozzle 2 was first
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            materials (good extrusion) by a few numbers of parameter   assigned with a large value. When the ATEP of nozzle 2 was
            corrections. The specific content of these models in detail   adjusted to x , the print result was the same as the situation
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            were described as follows.                         shown in Figure 3B1, and the separated distance is L. Then,
                                                               to ensure that the two materials will not accumulate at the
            2.4.1. Common-starting/ending-point                conjunction point, the updated value of ATEP of nozzle 2
            model (model 1)                                    came to:
            When the starting point of nozzle 2 was connected with
            the starting point of nozzle 1 (common-starting -point),   X   x 2   L.                    (V)
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            Volume 9 Issue 3 (2023)                        242                          https://doi.org/10.18063/ijb.707
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