Dimensional reductions of a cardiac model for effective validation and calibration

Complex 3D beating heart models are now available, but their complexity makes calibration and validation very difficult tasks. We thus propose a systematic approach of deriving simplified reduced-dimensional models, in "0D" --- typically, to represent a cardiac cavity, or several coupled cavities --- and in "1D" --- to model elongated structures such as fibers or myocytes. As illustrations of our approach, we demonstrate model validation based on experiments performed with papillary muscles, and calibration using patient-specific pressure-volume loops.