A viscoelastic model for human myocardium

Understanding the biomechanics of heart in health and disease plays an important role diagnosis treatment failure. The use computational biomechanical models for therapy assessment is paving way personalized treatment, relies on accurate constitutive equations mapping strain to stress. Current state-of-the art account nonlinear anisotropic stress-strain response cardiac muscle using hyperelasticity theory. While providing a solid foundation understanding tissue, most current laws neglect viscoelastic phenomena observed experimentally. Utilizing experimental data from human myocardium knowledge hierarchical structure muscle, we present fractional model. model shown replicate biaxial stretch, triaxial cyclic shear stress relaxation experiments (mean error ∼7.68%), showing improvements compared its hyperelastic ∼24%) counterparts. Model sensitivity, fidelity parameter uniqueness are demonstrated. also rate-dependent stretch as well different modes illustrating extensibility range loading phenomena. tissues has yet be integrated into common describing mechanics. In this work, modeling approach introduced based tissue. From these foundations, state-of-the-art transformed viscoelasticity, replicating passive function across multiple tests. Comparisons drawn with highlight predictive responses show strong qualitative agreement data. proposed presents first aimed at capturing testing regimes, platform better myocardial tissue disease.