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May 15, 2026Investigative Ophthalmology & Visual Science0 citationsOpen Access

Linear Viscoelasticity of Human Ocular Tissues During Tensile Stress Relaxation

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SJSomaye JafariASAtharva ShetyeJDJoseph L. Demer

Key Points

  • To quantitatively describe the tensile stress relaxation properties of human ocular tissues using a Prony series model.
  • Characterization of specimens from eight pairs of postmortem human eyes dissected from six regions.
  • Uniaxial tensile loading was applied under controlled physiological conditions at strain levels of 4% to 6%.
  • Stress relaxation curves were fitted to a generalized Maxwell model using a Prony series.
  • Tissues exhibited linear viscoelastic behavior within 5% strain.
  • Anterior sclera had an instantaneous modulus of 12.6 MPa and an equilibrium modulus of 8.8 MPa; optic nerve showed lower moduli of 3.5 MPa and 1.1 MPa.
  • Optic nerve exhibited the longest relaxation time of 460 ± 77 seconds, while the optic nerve sheath had the shortest at 60 ± 5 seconds.

Abstract

Purpose: To quantitatively describe viscoelastic properties, we characterized the tensile stress relaxation of human ocular tissues using a Prony series model. Methods: Specimens from eight pairs of postmortem human eyes were dissected from six regions: the anterior, equatorial, posterior, and peripapillary sclera; the optic nerve (ON); and the optic nerve sheath (ONS). Each specimen underwent uniaxial tensile loading under controlled physiological conditions at strain levels ranging from 4% to 6% to identify the optimal strain range within which the tissues exhibit linear viscoelastic behavior. Stress relaxation curves were fitted to a generalized Maxwell model using a Prony series to determine tissue-specific relaxation time constants and relative moduli. Results: All tissues exhibited linear viscoelastic behavior within 5% strain. The anterior sclera showed the greatest stress level, with 12.6 MPa instantaneous modulus and 8.8 MPa equilibrium modulus, whereas the ON exhibited the fastest stress decay and lowest stiffness, with moduli of 3.5 MPa and 1.1 MPa, respectively. The ON had the longest long-term relaxation time of 460 ± 77 seconds, and the ONS had the shortest time at 60 ± 5 seconds. Prony series parameters successfully captured the relaxation profiles across all tissues. Conclusions: This study supports the use of Prony-based models for numerical simulation to describe the region-specific viscoelasticity of ocular tissues. These findings provide foundational data for future investigations into ocular biomechanics, particularly under dynamic or pathologic loading.

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Cite This Study

Jafari et al. (2026) studied this question.

synapsesocial.com/papers/6a06b928e7dec685947abc26https://doi.org/10.1167/iovs.67.5.26
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