The Continuous-Endurance Model: A Unified Framework for Oxidative-Non Oxidative Energy Contribution Across Exercise Durations

These supplementary materials accompany the theoretical framework titled The Continuous Endurance Model: A Unified Framework for Oxidative Non Oxidative Energy Contribution Across Exercise Durations. They provide extended definitions, methodological notes, mathematical explanations, and conceptual clarifications that support the main manuscript. The materials include detailed descriptions of core metabolic terms, duration based contribution ranges, continuous function behaviour, spline based modelling options, and the integration of CP W prime and VO2 kinetics. Additional sections expand on the predictions and falsifiable claims presented in the framework, along with applied implications for physiology, sport science, and clinical practice. Measurement recommendations, limitations, and future research directions are also included to guide empirical work and ensure clarity for researchers and practitioners. These materials are archived in Zenodo to ensure transparency, provenance, and long term accessibility, and they will accompany the forthcoming SportRxiv preprint as part of a broader program to develop rigorous theoretical frameworks in human physiology and performance science.