Coupled reaction-diffusion transport into a core-shell geometry.

The coupled reaction-diffusion transport of glucose and oxygen into a core-shell geometry is modeled using dimensionless parameterization. The consumption of oxygen and glucose are coupled by a metabolic modulation function. The results are fit to a Bayesian-Ridge model that can be easily applied to generate large data sets spanning the parameter space. The non-linear correlation between the oxygen and glucose concentrations are presented and the effect of system parameters is explored. The maximum radius of a viable system is shown to decrease by up to 13.8% with high glucose saturation.