You are designing an experiment to determine whether you can keep cells alive in a 3-D collagen matrix that you fabricated in a Boyden chamber. You make a collagen matrix that is 50 m thick and seed it with fibroblasts. The rate of oxygen consumption by cells per unit volume of tissue is e = 310^-5 g/cm^-3s^-1. The diffusivity of oxygen through the tissue is D = 210^-5 cm²s^-1. At steady state, you determine that the oxygen concentration on one side of the matrix is c₀ = 1.810^-5 g cm^-3, and the concentration on the other side of the matrix is c₂ = 0.6 10^-5 g cm^-3.

Determine the x-position within the matrix where oxygen concentration reaches a minimum.