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Silva, et al.
           tubular structures were then perfused through the   3 Results and discussion
           core channel with warm sterile 1 × PBS to wash
           away the sacrificial material.                      In silico simulations, varying  the extrusion,
             This bioprinting procedure was performed          pressure was performed to investigate the impact
           with the three designed nozzles varying the         that the overall design of the coaxial nozzle
           extrusion pressure of the printhead connected       might have on cell viability. Since this nozzle
           to channel  b since the cell-laden bioink was       is intended for the fabrication of single-layered
           dispensed through this channel.  The extrusion      tubular structures, cell-laden hydrogels will only
           pressure of the other two channels was adjusted     be extruded through channel  b; however, the
           to achieve the same extrusion rate as that of       simulations  were performed  for all  channels.
           channel  b. Coaxial tubular structures were         Fluid  velocity  and  pressure  distribution  through
           dispensed with three extrusion pressures: 26, 34,   the entire channel geometry were collected from
           and 40 kPa, through each of the designed nozzles.   the simulations.  The minimum  and maximum
           Each combination of bioprinting parameters was      fluid velocities at the outlet were 13 and 43 mm/s,
           performed in triplicates, resulting in a total of 27   respectively. Moreover, velocity  appeared  to
           extruded tubular structures.                        remain constant through the entire geometry for
                                                               all extrusion pressures studied and, in each layer/
           2.6 Cell viability assessment                       area, into the nozzle  geometry. However, that
                                                               was not  the  case  for pressure distribution  since
           For studying the effect of the inlet extrusion pressure   it seemed to decrease as the fluid approached the
           and the different coaxial nozzle geometries on cell   air interface between the nozzle and the collecting
           survival, a Live/Dead (Sigma-Aldrich, St. Louis,    glass slide. According to the simulations, pressure
           MO, USA) assay was performed on the bioprinted      distribution values at the tip of the flow channels
           tubular structures. Briefly, constructs were stained   fell  to  between  2  and  10  kPa,  while  pressures
           with  calcein  acetoxymethyl  ester  (calcein-AM)   between  20  and  64  kPa  could  be  experienced
           and  propidium  iodide  (PI)  immediately  after    at  the  upper  most  regions of  the  in-silico  flow
           bioprinting and fluid perfusion through the lumen,   channels.  These  values  were  then  compared
           to visualize live and dead cells, respectively. The   to  those  validated  experimentally  by  previous
           staining  solution  was prepared  according  to  the   studies for ordinary [25,26]  and coaxial  nozzles.
                                                                                                   [27]
           manufacturer’s instructions. Bioprinted constructs   Nair et al. reported that cell  viability decreases
           were subsequently submerged in it and incubated     exponentially  as a function of increasing shear
           for 15 min at room temperature (~22ºC) protected    stress, with cell viability above 60 % for pressures
           from light. Samples were then washed with           below 100 kPa and nozzle diameters between (150
           1  ×  PBS  and  imaged  using  an  epifluorescence   and 400 µm) . Yu and colleagues investigated this
                                                                          [26]
           microscope  (ZEISS  Axio  Observer,  Carl  Zeiss    same relationship on coaxial nozzles and obtained
           AG, Oberkochen, Germany). One image from a          very similar results . Although these estimations
                                                                                 [27]
           random location on each sample was captured and     depend widely on the rheological properties of the
           later analyzed using the ImageJ software.           studied hydrogel and on the specific response of

           2.7 Statistical analysis                            the cells utilized, we might be able to predict the
                                                               high viability of cells bioprinted with the present
           Data for cell viability  was statistically  analyzed   coaxial nozzle. The predicted values collected for
           with  the  aid  of  the  GraphPad  Prism  software   pressures experienced by cells on the bioprinting
           (GraphPad  Software,  La  Jolla,  CA,  USA).  The   process fall within a safe range for cells according
           statistical distribution of the data was first studied   to these previous studies.
           with the Shapiro-Wilk normality test and a two-       To  confirm  these  notions  and  to  investigate
           way ANOVA with Tukey’s multiple comparisons         the  effect  of  nozzle  geometry,  specifically  the
           tests was subsequently performed.                   flow channel Gauge, on cell viability, bioprinting

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