Non-invasive measurement of effective diffusivities in cell immobilization gels through use of near-infrared spectroscopy

Encapsulated cell systems provide some advantages over typical suspension cell cultivations as higher cell densities may be obtained; however, the supply of nutrients to the cells often is a limiting factor in productivity. In this study, we describe the development of a new approach to characterize the effective diffusivity of nutrients in immobilized cell materials. Near-infrared spectroscopy is employed to measure nutrient concentrations within a specially designed diffusion chamber that permits noninvasive sampling at ten spatial positions and multiple timepoints. To demonstrate this technique, we measured the effective diffusivity of glutamine in a cell-free 3% (w/w) agarose gel and determined the effective diffusivity (D_eff) = 6.46 × 10^-10 m²/s, which is in good agreement with theoretical values.