We developed an inverse modeling approach for magnetic resonance elastography of tissues undergoing finite (large) deformations at physiologically-relevant loading rates. Inverse modeling was designed to directly incorporate displacement-encoded MRI with topology optimization to reveal stiffness distributions. The approach was validated using forward simulations with known material properties and boundary conditions, and sensitivity analyses. Inverse modeling may enable noninvasive characterization of material stiffness for complex tissues like articular cartilage in disease and repair.
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