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Numerical Verification Limits of Asymmetric Intrastromal Hydrogel Reinforcement for Decentered Keratoconus

Juan Sumaya-Martínez, Alan Altamirano-Torres

physics.bio-pharXiv:2611.01889

Abstract

Spatially tailored intrastromal hydrogel scaffolds have been proposed for decentered keratoconus, but their mechanical and optical benefits require stringent numerical validation. We reanalyze conforming two-material finite-element benchmarks and earlier optomechanical screening calculations, distinguishing solver verification from constitutive adequacy and treatment efficacy. In a curved corneal-patch benchmark with a fixed-volume rectangular inclusion, the apparent peak-displacement benefit of an offset over a centered inclusion changes from -5.66% to +1.73% across four tetrahedral meshes, while absolute displacements remain strongly mesh dependent. On the finest mesh, the quadratic term in the Green-Lagrange strain tensor contributes about 18% of the root-mean-square magnitude of the linearized strain; the underlying finite-element solutions themselves remain linear elastic. Earlier optical screening was sensitive to corneal orientation, mesh refinement and wavefront-reference conventions and is not retained as validated evidence. These observations do not establish superiority of asymmetric reinforcement. Instead, they motivate prespecified criteria for geometry-invariant finite-strain simulations, two-material interface verification, optical wavefront convergence, and independent experimental validation. No clinical recommendation is implied.

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