Cellular Regulatory Networks: Admissibility and Constraint Regulation in Biological Systems

Cells maintain internal organisation through networks of regulatory interactions controlling gene expression, protein synthesis, and metabolic activity. This paper interprets cellular regulatory networks within the Paton System framework as constraint-regulated biological systems operating within admissible limits. Regulatory mechanisms coordinate signalling pathways and molecular interactions so that cellular processes remain compatible with structural and energetic constraints necessary for cellular persistence. When regulatory interactions remain within admissible boundaries, cellular systems maintain stability, adaptation, and coherent biological function. When regulatory processes exceed these limits, instability may arise in the form of signalling disruption, metabolic imbalance, or uncontrolled cellular growth. Understanding cellular regulatory networks through admissibility provides a structural explanation for how biological systems maintain stability across complex molecular interactions.