Geophysics-Inspired Nonlinear Stress-Strain Law for Biological Tissues and Its Applications in Compression Optical
Vladimir Y Zaitsev1, Lev A Matveev1, Alexander L Matveyev1
1A.V. Gaponov-Grekhov Institute of Applied Physics of the Russian Academy of Sciences, Uljanova St., 46, Nizhny Novgorod 603950, Russia.
Materials (Basel, Switzerland)
|October 26, 2024
Summary
We developed a new nonlinear stress-strain law for biological tissues, inspired by cracked rock physics. This model accurately describes tissue elasticity and shows promise for diagnosing diseases like cancer.
Area of Science:
- Biophysics
- Materials Science
- Geophysics
Background:
- Biological tissues exhibit nonlinear elastic properties.
- Existing models often struggle to accurately capture these nonlinearities.
- The presence of interstitial gaps/pores influences tissue elasticity.
Purpose of the Study:
- To propose a novel nonlinear stress-strain law for biological tissues.
- To utilize an analogy with nonlinear constitutive laws for cracked rocks.
- To validate the proposed law using experimental data.
Main Methods:
- Developed a nonlinear constitutive equation based on rock physics.
- Employed quasistatic Compression Optical Coherence Elastography (C-OCE) for experimental data acquisition.
- Analyzed stress-strain relationships in various biological tissues.
Main Results:
- The proposed law effectively fits experimental stress-strain curves from C-OCE.
- Fitting parameters possess clear physical interpretations, unlike empirical models.
- Extracted linear and nonlinear elastic parameters demonstrate diagnostic utility.
Conclusions:
- The proposed nonlinear stress-strain law accurately models biological tissue elasticity.
- The model's physical parameters offer insights into tissue microstructure.
- This approach shows potential for disease diagnosis, including cancer differentiation.
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