High sensitivity indirect chemical detection using on - chip isotachophoresis with variable cross - section geometry

In Section 1.3 of the paper, we presented an unsteady, diffusion-free model to calculate species concentrations and shock speeds in ITP. We also showed (in Figure 2 of paper) comparison of our model with detailed 1-dimensional simulations using SPRESSO [1,2]. Here we describe the numerical procedure to calculate species concentrations in different ITP zones using our diffusionfree model. In Section 1.3 we derived Hugoniot jump conditions relating concentrations of each species across ITP shocks,