MULTISCALE MICRO-DILATATION MODELING WITH QUANTUM-INSPIRED BIOLOGICAL FIELDS FOR BIOMATERIALS

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M.S.L.R. Mallika, G. Sudheer

Abstract

This study introduces a continuum-level framework designed to integrate concepts from quantum biology into practical biomaterials and tissue engineering. The Quantum-Inspired Micro-Dilatation Theory extends classical micro-dilatation models by incorporating fields that represent effective coherence, enzymatic activity, and cellular energetics, while maintaining computational tractability for macroscopic simulations. Rather than presuming long-lived quantum coherence in entire tissues, the framework models quantum-associated effects as additional internal variables that subtly modulate stiffness, growth, and degradation at biomaterial–tissue interfaces. This approach establishes a mathematically consistent context for investigating phenomena such as coherence-assisted transport and tunnelling-influenced reactions at the scale of devices and scaffolds. The paper presents the governing equations, delineates typical parameter regimes and numerical behavior, and identifies experimental strategies to assess the relevance of such couplings in regenerative medicine. All quantum-associated effects are strictly treated as phenomenological internal variables at the continuum level, with no assumptions regarding persistent quantum coherence at tissue or organ scales.

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