Development of a bioartificial nerve graft. I. Design based on a reaction-diffusion model

A simple reaction-diffusion model has been developed to describe the mass transport of nutrients and nerve growth factor within a bioartificial nerve graft (BNG). The BNG consists of a porous polymer conduit that is preseeded with Schwann cells in its lumen. The Schwann cells produce growth factors to stimulate nerve regeneration within the lumen of the conduit. The model can predict the wall thickness, porosity, and Schwann cell seeding density needed to maximize the axon extension rate while ensuring that sufficient nutrients, especially oxygen, are made available to the neurons until the formation of the neovasculature. The model predicts a sixteen-fold increase in the levels of nerve growth factor by dropping the porosity from 95 to 55% but only at the expense of reducing the oxygen concentration. At higher porosities, increasing the wall thickness and increasing the Schwann cell seeding density both have the same effect of increasing the concentration of nerve growth factor within the lumen of the conduit. This model provides a simple tool for evaluating various conduit designs before continuing with experimental studies in vivo.