A novel simulation model for engineered cartilage growth in static systems

A novel mathematical model to simulate the growth of engineered cartilage in static systems is proposed. This model is based on material balances for the involved species (glycosaminoglycan and collagen, both pertaining to extracellular matrix), as well as mass-structured population balance for simulating cell growth and its proliferation within the scaffold. This model may simulate tissue growth on static culture taking place in Petri dishes, static flasks, and well plates for different types of scaffolds (i.e., poly(glycolic acid) [PGA], PGA/poly(l-lactic acid), and collagen sponge). This work aimed to demonstrate that the model approach proposed in previous works, regarding engineered cartilage growth on PGA scaffolds performed in rotating bioreactors, may also be applied to different scaffolds and system configurations. In particular, the balance equation for simulating collagen production is introduced, as well as the use of spatial averaging over the spatial region to compare experimental data with the model. Experimental data from the literature in terms of cells, glycosaminoglycans, and collagen content have been successfully compared with model results, thus demonstrating the validity of the proposed model, as well as its predictive capability