A phase-field model couples viscoelastic compressible tumor mechanics to nutrient diffusion and predicts symmetry-breaking instabilities from elastic buckling and apoptosis-driven volume loss.
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2026 2verdicts
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Derives a quadratic approximation to the Canham-Helfrich energy for small graph deformations of tube-like surfaces, proves well-posedness of the Euler-Lagrange equations, and shows numerical examples.
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A phase-field model for viscoelastic compressible tumor growth
A phase-field model couples viscoelastic compressible tumor mechanics to nutrient diffusion and predicts symmetry-breaking instabilities from elastic buckling and apoptosis-driven volume loss.
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Small deformations of a near cylindrical tube for the Canham-Helfrich Energy with applications to biological membranes
Derives a quadratic approximation to the Canham-Helfrich energy for small graph deformations of tube-like surfaces, proves well-posedness of the Euler-Lagrange equations, and shows numerical examples.