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International Journal of Bioprinting A computational model of cell viability and proliferation of 3D-bioprinted constructs

Figure 5. Time evolution of the smallest (blue) and the largest (orange) values of the model variables (I: oxygen; II: glucose; III: cell density) in the domain
for four different models of bioprinted specimens (A: 1X; B: 2X; C: 3X; and D: 3X with channels). The dotted lines represent the Monod constants.

slight decrease in cell density in the inner areas occurs even found in the literature and it presents some innovative
in the largest construct (category III of Figure 6D). features with respect to the existing ones. The model
accounts for two main nutrients, oxygen and glucose, and
their cooperating effect on cell proliferation and death.
4. Discussion The consumption phenomenon was described through
In this work, a mathematical and computational model of the Monod equations. Besides, self-promoting and self-
oxygen and glucose diffusion and consumption and cell inhibiting effects of cells were introduced through the
proliferation and death was developed. The PDE-based Lotka–Volterra term and the cell density threshold value.
model derives from the combination of many aspects The phenomena are analyzed in the whole 3D domain and

Volume 9 Issue 4 (2023) 361 https://doi.org/10.18063/ijb.741