2025/11/04 by Zhang, Xiaoyu, Fang, Zhou
#FOS: Biological sciences #FOS: Mathematics #Molecular Networks (q-bio.MN) #Optimization and Control (math.OC)
paper · doi:10.48550/arxiv.2511.02418
This paper introduces a biomolecular Linear Quadratic Regulator (LQR) to investigate the design principles of gene regulatory networks. We show that for fundamental gene regulation network, the bio-controller derived from LQR theory precisely recapitulate natural network motifs, such as auto-regulation and incoherent feedforward loops. This emulation arises from a fundamental principle: the LQR cost function mathematically encodes environmental survival demands, which subsequently drives the selection of both network topology and biochemical parameters. Our work thus establishes a theoretical basis for interpreting biological circuit design, directly linking evolutionary pressures to observable regulatory structures.