Functional cartilaginous constructs for scientific research and eventual ti
ssue repair were cultivated in bioreactors starting from chondrocytes immob
ilized on polymeric scaffolds. The scaffolds gradually degraded as the cell
s regenerated tissue matrix consisting of glycosaminoglycan (GAG) and type
II collagen. To facilitate data interpretation and optimize cultivation con
ditions, a mathematical model was developed which yields the concentrations
of oxygen and GAG as functions of time and position in growing tissue. Cal
culated GAG concentrations were qualitatively and quantitatively consistent
with profiles measured via high-resolution image processing of tissue samp
les cultured at two different oxygen tensions for various periods of time.