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Effect of Bioprinting-Associated Shear Stress and Hydrostatic Pressure























           Figure 2. Cell viability of HUVECs in alginate solution immediately after being expelled from the tip of the printing nozzle plotted against
           the applied printing pressure. Viability results were normalized to the viability value at a printing pressure of 0.25 bar and thus ranged from
           100% to 79.7%. n = 3.
           4. Discussion                                       model  presented  here  provides  detailed  information
                                                               about  mechanical  stimulation  of  the  cells  during  drop
           3D bioprinting is accompanied by mechanical stimulation   ejection that can eventually be helpful in the redesign and
           that can critically affect the fate and function of cells. Here,   optimization of not only the printing parameters but also
           with the focus on DoD bioprinting using a mechanical   the microvalve geometry.
           microvalve,  we  studied  the  effect  of  bioprinting-  In this study, whenever cells were printed, alginate
           associated hydrostatic pressure (as controlling parameter)   solution was used as the hydrogel solution. This was done
           on  the  viability  and  pre-vascularization  potential  of   for two reasons: first, alginate is commonly used in studies
           HUVECs. To quantify the amplitude of the shear stress   investigating the effect of printing-induced shear stress
           corresponding to the bioprinting hydrostatic pressure, we   on cells and its viscosity can be altered over a wide range
           simulated the flow of cell-laden alginate 1.5% w/v within   by  simply  changing  its  concentration [10,13] ,  and  second,
           a  commercially  available  microvalve.  This  numerical   alginate solution can be transformed into a hydrogel only
           model can be used to determine both the maximum and   on demand and in the presence of a particular crosslinker
           average shear stress imposed on the cells during printing   (e.g., calcium chloride). The latter eliminates the risk of
           based on the pre-set upstream pressure. The validity of   spontaneous  and  unwanted  gelation  during  bioprinting
           our numerical model is assured by comparing the droplet   or pipetting as occurs in temperature-sensitive materials
           size results from the simulation with those we measured.   such as agarose or collage [14,15] . Moreover, alginate is a
           It is shown here that all cells during bioprinting are subject   highly biocompatible, frequently applied, and very well
           to the effects of the same hydrostatic pressure, while the   investigated material for bioprinting as well as 3D cell
           shear stress imposed on the cells varies according to their   culture experiment [16-19] . Notably, alginate is not suitable
           radial distance from the wall of the nozzle. Furthermore,   for pre-vascularization studies as it does not promote cell
           Chand et al. developed a numerical model for extrusion   adhesion under 3D culture conditions due to the lack of
           based  bioprinting  and  investigated  the  printing  process   binding  motives  as  RGD  sequences.  Since  cell-laden
           parameters on the maximum wall shear stress and duration   alginate 1.5% wt/v is used in this work, its viscosity is
           in which cells passing through the nozzle . However,   measured  using  a  rotary  rheometer  and  modeled  as  a
                                               [12]
           the focus of our numerical simulation model was on the   shear-thinning non-Newtonian fluid using the power-law
           DoD bioprinting using mechanical microvalve which is   model.
           different  from  those  considering  extrusion  bioprinting.   Under  physiological  conditions,  endothelial  cells
           For  the  control  samples,  non-printed  cells  were  taken   are exposed to continuous fluid flow and shear stress.
           from  the  cartridge  of  the  printer.  In  this  way,  all  cells   For large vessels such as arteries and the aorta, shear
           were  equally  exposed  to  the  same  hydrostatic  pressure   stresses between 0.3 and 1.3 Pa have been reported, and
           so that its effect could be discounted. However, the cell   for  smaller  vessels  such  as  capillaries,  around  4.2  to
           culture results are reported based on pressure since this is   9.55 Pa occur physiologically [20-22] . A number of studies
           the controlling parameter in our bioprinter. In this regard,   investigate  the  effect  of  shear  stress  on  endothelial
           Figure 1B can be used when the amplitude of shear stress   cells  in  vitro [23-25] .  However,  in  those  studies  cells
           for alginate 1.5% w/v is of interest. Overall, the numerical   were  cultured  at  physiologically  relevant  shear  stress

           102                         International Journal of Bioprinting (2022)–Volume 8, Issue 4
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