Computational models of the cardiovascular system and heart function are currently being investigated as analytic tools to assist medical practice and clinical trials. Recent technological advances allow for finite element models of heart ventricles and atria to be customized to medical images and to assimilate electrical and hemodynamic measurements.Optimizing model parameters to physiological data is, however, challenging due to the computational complexity of finite element models. Metaheuristic algorithms and other optimization strategies typically require sampling hundreds of points in the model parameter space before converging to optimal solutions. Similarly, resolving uncertainty of model outputs to input assumptions is difficult for finite element models due to their computational cost. In this paper, we present a novel, multifidelity strategy for model order reduction of 3-D finite element models of ventricular mechanics. Our approach is centered around well established findings on the similarity between contraction of an isolated muscle and the whole ventricle. Specifically, we demonstrate that simple linear transformations between sarcomere strain (tension) and ventricular volume (pressure) are sufficient to reproduce global pressure-volume outputs of 3-D finite element models even by a reduced model with just a single myocyte unit. We further develop a procedure for congruency training of a surrogate low-order model from multi-scale finite elements, and we construct an example of parameter optimization based on medical images. We discuss how the presented approach might be employed to process large datasets of medical images as well as databases of echocardiographic reports, paving the way towards application of heart mechanics models in the clinical practice.Multi-scale finite element (FE) models of cardiac mechanics are being investigated as novel tools for analyzing medical 2 imaging data and assisting personalized diagnostics in cardiac resynchronization therapy and disease monitoring [1][2][3][4]. 3 Despite recent advances, personalizing FE simulations of heart mechanics to a specific clinical case still constitutes an 4 open research problem. While most state-of-the-art models can capture the anatomical details of atria and ventricles from 5 3-D medical images (e.g., from CT or from the more costly MRI [5, 6]), significant computational resources are necessary 6 to inversely estimate, when at all possible, the many unknown model parameters. Applying FE models in large scale 7analyses of clinical trials is, therefore, currently intractable. At the same time, it is widely accepted that a more 8 mechanistic understanding of trial results could be greatly beneficial. For example, direct applications of models could 9 1/26 provide illustrations of certain biophysical correlates of trial trends, thus aiding the interpretation of complex drug effects, 10 such as intropes on cardiac function in heart failure patients [7][8][9].
11Clinical evaluations often rely on echocardiography as their main source ...