The Piezoelectric Continuum: A Biophysical Model of High-Frequency Resonance and Interfacial Water Dynamics in Tendon Matrices Under Continuous TUT Load

This conceptual paper introduces a non-dissipative biophysical framework designed to examine the electro-mechanical and thermodynamic properties of the tendon matrix under extreme statodynamic constraints (Time Under Tension). Moving beyond passive visco-elastic models, we investigate the real-time interaction between direct piezoelectric polarization wavefronts and the displacement (extrusion) of ordered around-collagen (interfacial) water layers.The proposed closed-loop model demonstrates how this phase transition causes a sharp, localized drop in the axial dielectric profile, transforming the neural-musculoskeletal interface into an idealized acoustic-electromagnetic waveguide. Furthermore, we mathematically outline the theoretical induction of an inverse piezoelectric resonance lock at the 4th harmonic (approximately 4 kHz), leading to a transient shift in the tissue Young's modulus. This framework establishes clear, falsifiable empirical criteria for validating sub-millisecond electro-mechanical homeostatic feedback in vivo.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-17
DOI
https://doi.org/10.5281/zenodo.22816197
Primary Topic
Thermoelastic and Magnetoelastic Phenomena
Type
preprint
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preprint

The Piezoelectric Continuum: A Biophysical Model of High-Frequency Resonance and Interfacial Water Dynamics in Tendon Matrices Under Continuous TUT Load

Dmytro Taran
Zenodo (CERN European Organization for Nuclear Research)
Thermoelastic and Magnetoelastic Phenomena
preprint

The Piezoelectric Continuum: A Biophysical Model of High-Frequency Resonance and Interfacial Water Dynamics in Tendon Matrices Under Continuous TUT Load

Dmytro Taran
preprint en

Abstract

This conceptual paper introduces a non-dissipative biophysical framework designed to examine the electro-mechanical and thermodynamic properties of the tendon matrix under extreme statodynamic constraints (Time Under Tension). Moving beyond passive visco-elastic models, we investigate the real-time interaction between direct piezoelectric polarization wavefronts and the displacement (extrusion) of ordered around-collagen (interfacial) water layers.The proposed closed-loop model demonstrates how this phase transition causes a sharp, localized drop in the axial dielectric profile, transforming the neural-musculoskeletal interface into an idealized acoustic-electromagnetic waveguide. Furthermore, we mathematically outline the theoretical induction of an inverse piezoelectric resonance lock at the 4th harmonic (approximately 4 kHz), leading to a transient shift in the tissue Young's modulus. This framework establishes clear, falsifiable empirical criteria for validating sub-millisecond electro-mechanical homeostatic feedback in vivo.

Zenodo (CERN European Organization for Nuclear Research)
Clean water and sanitation
Thermoelastic and Magnetoelastic Phenomena
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