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Harnessing Adaptive Chaos: Exploring the role of oxygen-ozone therapy in modulating complexity and repair in spine disorders via a bio-informatic model

Salvatore ChirumboloiD, Marianno Franzini, Umberto Tirelli, Giovanni RicevutiiD, Fortunato Loprete, Tommaso RichelmiiD, Francesco Vaiano, Antonio Carlo GaloforoiD, Marianna Chierchia, Luigi ValdenassiiD

Abstract

Adaptive chaos represents a paradigm shift in understanding biological systems, where mild chaotic dynamics sustain homeostasis and resilience. This study delves into oxygen-ozone therapys ability to leverage adaptive chaos in treating spinal musculoskeletal disorders, particularly intervertebral disc degeneration (IVDD). Employing mathematical modelling and bioinformatic tools, the study evaluates chaos, complexity, and entropy across varying ozone doses to identify optimal therapeutic windows within a hormetic range. The results reveal that lower ozone doses (20-40 {micro}g/ml O3) promote adaptive chaos, enhancing systemic complexity, reducing inflammatory cytokines, and fostering structural repair. Conversely, higher doses (60-80 {micro}g/ml O3) induce excessive oxidative stress, exacerbating pathological chaos and impairing recovery. The integration of Shannon entropy, Lyapunov exponents, and fractal dimensions provides a novel framework for quantifying therapeutic outcomes. Findings highlight the role of controlled perturbations in stabilizing pathological systems, offering a dose-dependent roadmap for balancing flexibility and order. By correlating modelled insights with clinical evidence, the study underscores the significance of precision dosing, as the optimal range facilitates pain reduction and inflammatory control, correlating with improved complexity and reduced turbulence. This research pioneers the concept of adaptive chaos in medical interventions, emphasizing its translational potential for personalized and systemic medicine. Beyond IVDD, the findings establish a broader framework for adaptive chaos as a cornerstone of health restoration, advocating for therapies that optimize biological complexity. This work tries to bridge mathematical modelling and clinical evidence, offering a cutting-edge perspective on regenerative medicine and chaos-driven therapeutic strategies.

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