A critical
step in tissue engineering is the design and synthesis of 3D biocompatible
matrices (scaffolds) to support and guide the proliferation of cells
and tissue growth. The most existing techniques rely on the processing
of scaffolds under controlled conditions and then implanting them in vivo, with questions related to biocompatibility and
implantation that are still challenging. As an alternative, it was
proposed to assemble the scaffolds in loco through
the self-organization of colloidal particles mediated by cells. To
overcome the difficulty to test experimentally all the relevant parameters,
we propose the use of large-scale numerical simulation as a tool to
reach useful predictive information and to interpret experimental
results. Thus, in this study, we combine experiments, particle-based
simulations, and mean-field calculations to show that, in general,
the size of the self-assembled scaffold scales with the cell-to-particle
ratio. However, we have found an optimal value of this ratio, for
which the size of the scaffold is maximal when the cell–cell
adhesion is suppressed. These results suggest that the size and structure
of the self-assembled scaffolds may be designed by tuning the adhesion
between cells in the colloidal suspension.
We developed a generalized Smoluchowski framework to study linker-mediated aggregation, where linkers and particles are explicitly taken into account. We assume that the bonds between linkers and particles are irreversible,...
We study the dynamics of diffusion-limited irreversible aggregation of monomers, where bonds are mediated by linkers. We combine kinetic Monte Carlo simulations of a lattice model with a mean-field theory to study the dynamics when the diffusion of aggregates is negligible and only monomers diffuse. We find two values of the number of linkers per monomer which maximize the size of the largest aggregate. We explain the existence of the two maxima based on the distribution of linkers per monomer. This observation is well described by a simple mean-field model. We also show that a relevant parameter is the ratio of the diffusion coefficients of monomers and linkers. In particular, when this ratio is close to ten, the two maxima merge at a single maximum.
A critical step in tissue engineering is the design and synthesis of 3D biocompatible matrices (scaffolds) to support and guide the proliferation of cells and tissue growth. Most existing techniques rely on the processing of scaffolds under controlled conditions and then implanting them in vivo, with questions related to biocompatibility and the implantation process that are still challenging. As an alternative, it was proposed to assemble the scaffolds in loco through the self-organization of colloidal particles mediated by cells. In this study, we combine experiments, particle-based simulations, and mean-field calculations to show that, in general, the size of the self-assembled scaffold scales with the cell-to-particle ratio. However, we found an optimal value of this ratio, for which the size of the scaffold is maximal when cell-cell adhesion is suppressed. These results suggest that the size and structure of the self-assembled scaffolds may be designed by tuning the adhesion between cells in the colloidal suspension.
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