A key application of advanced spectroscopy methods is to estimate equilibrium states of biochemical processes in situ and in vivo. Nevertheless, an often present difficulty is the requirement that the biochemical process and its environment (such as the substrate) satisfy special conditions. One means of resolving this issue is to communicate information about the equilibrium states of the biochemical process to another location, supported via microfluidic channles within a lab-on-a-chip. In this paper, we develop a signaling strategy and estimation algorithms for equilibrium states of a biochemical process. For a toggle-switch circuit model important in cellular differentiation studies, we study via simulation the tradeoff between the rate of obtaining spectroscopy measurements and the estimation error, providing insights into requirements of spectroscopy devices for high-throughput biological assays. CCS CONCEPTS • Applied computing → Health care information systems; • Computing methodologies → Model verification and validation; Mixture modeling.