State estimation for a model of gene expression

In this paper we study the state estimation problem for a basic model of gene expression. The model describes the interaction between mRNA and protein(s) within the transcription- translation process. We first study some basic dynamic properties of the model, namely the existence of a unique equilibrium point, its stability and local observability. Then, we address the problem of estimating mRNA concentration by only measuring total protein concentration, and we propose a solution to it by means of different state estimation schemes. Finally, by means of in silico experiments, we compare the performance of the proposed structures.