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A Novel Numerical Formulation for Modeling Tissue Compressibility


 Nearly all mathematical and computational models of biological tissue impose the constraint that the material remain incompressible during deformation. The incompressibility assumption simplifies the determination of analytic solutions by removing a degree of freedom from the motion. However, many biological tissues, including myocardium, are sufficiently compressible to have enormous effects on the predicted stress equilibrium state[1]. Being able to model the compressibility of living tissue is a major step toward realistic modeling of intact, living tissue.