Determining Interconnections in Chemical Reaction Networks

We present a methodology for robust determination of chemical reaction network interconnections. Given time series data that are collected from experiments and taking into account the measurement error, we minimize the 1-norm of the decision variables (reaction rates) keeping the data in close Euler-flt with a general model structure based on mass action kinetics which models the species' dynamics. We illustrate our methodology on a hypothetical chemical reaction network under various experimental scenarios.