A Structural Loop‑Model Analysis of Human Physiological Regulation: Thermoregulation, Labour and Glucose Homeostasis

This repository contains Version 2.0 of the structural loop-model paper investigating the dynamic control architectures of human physiological systems. Moving beyond qualitative descriptions of homeostatic feedback, this updated release presents an extended mathematical framework that unifies negative feedback stabilization (thermoregulation and blood glucose) with non-linear positive feedback cascades (oxytocin-driven parturition). Key Updates in v2.0 Expanded Formalism: Integrates precise differential state-space equations with explicitly modeled delay vectors ($\tau$) for transport time and physiological response latency. Refined Loop Definitions: Provides updated system-mapping tables for homeostatic baseline maintenance alongside threshold-driven runaway dynamics (the Ferguson reflex). Dual-Effector Integration: Formalizes the dual-phase pancreatic control loop ($\alpha$ and $\beta$ cell modulation) within a unified error-signal control model. Publication-Grade Formatting: Cleaned LaTeX source and updated production rendering optimized for citation, cross-referencing, and long-term archival. Abstract Human physiological stability relies upon complex dynamic feedback architectures that operate across negative homeostatic loops and positive runaway cascades. This paper presents a structural loop-model analysis of three canonical physiological processes: thermoregulation, oxytocin-driven labour, and glucose regulation. By formalizing these processes through target states, sensory detection, corrective effectors, and systemic delay components, we provide a unified mathematical framework mapping homeostatic balance alongside non-linear threshold dynamics. Metadata Keywords Systems Biology • Physiological Homeostasis • Control Theory • Feedback Loops • Differential Equations • Thermoregulation • Glucose Regulation • Oxytocin Dynamics • Systems Architecture Contact: For enquiries or research questions related to this work, email [email protected]