Biomolecular LQR under Partial Observation

Fuente: arXiv
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Autores principales: Zhang, Xiaoyu, Fang, Zhou
Formato: Preprint
Publicado: 2025
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author Zhang, Xiaoyu
Fang, Zhou
author_facet Zhang, Xiaoyu
Fang, Zhou
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_02418
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Biomolecular LQR under Partial Observation
Zhang, Xiaoyu
Fang, Zhou
Molecular Networks
Optimization and Control
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.
title Biomolecular LQR under Partial Observation
topic Molecular Networks
Optimization and Control
url https://arxiv.org/abs/2511.02418