Multifidelity-CMA: a multifidelity approach for efficient personalisation of 3D cardiac electromechanical models

Personalised computational models of the heart are of increasing interest for clinical applications due to their discriminative and predictive abilities. However, the simulation of a single heartbeat with a 3D cardiac electromechanical model can be long and computationally expensive, which makes some practical applications, such as the estimation of model parameters from clinical data (the personalisation), very slow. Here we introduce an original multifidelity approach between a 3D cardiac model and a simplified “0D” version of this model, which enables to get reliable (and extremely fast) approximations of the global behaviour of the 3D model using 0D simulations. We then use this multifidelity approximation to speed-up an efficient parameter estimation algorithm, leading to a fast and computationally efficient personalisation method of the 3D model. In particular, we show results on a cohort of 121 different heart geometries and measurements. Finally, an exploitable code of the 0D model with scripts to perform parameter estimation will be released to the community.

[1]  Jan Haas,et al.  A self-taught artificial agent for multi-physics computational model personalization , 2016, Medical Image Anal..

[2]  Nicolas Duchateau,et al.  Infarct localization from myocardial deformation: Prediction and uncertainty quantification by regression from a low-dimensional space. , 2016, IEEE transactions on medical imaging.

[3]  Peter J. Hunter,et al.  Bioinformatics Applications Note Databases and Ontologies the Physiome Model Repository 2 , 2022 .

[4]  Jan Haas,et al.  Estimation of Regional Electrical Properties of the Heart from 12-Lead ECG and Images , 2014, STACOM.

[5]  A. O'Hagan,et al.  Predicting the output from a complex computer code when fast approximations are available , 2000 .

[6]  Takumi Washio,et al.  Tailor-made heart simulation predicts the effect of cardiac resynchronization therapy in a canine model of heart failure , 2016, Medical Image Anal..

[7]  A Noordergraaf,et al.  Analog studies of the human systemic arterial tree. , 1969, Journal of biomechanics.

[8]  Jack Lee,et al.  Multiphysics and multiscale modelling, data–model fusion and integration of organ physiology in the clinic: ventricular cardiac mechanics , 2016, Interface Focus.

[9]  M Caruel,et al.  Dimensional reductions of a cardiac model for effective validation and calibration , 2014, Biomechanics and modeling in mechanobiology.

[10]  P. Taggart,et al.  Biophysical Modeling Predicts Ventricular Tachycardia Inducibility and Circuit Morphology: A Combined Clinical Validation and Computer Modeling Approach , 2016, Journal of cardiovascular electrophysiology.

[11]  Michiel van de Panne,et al.  Flexible muscle-based locomotion for bipedal creatures , 2013, ACM Trans. Graph..

[12]  Xiaoguang Lu,et al.  Automatic Segmentation of the Myocardium in Cine MR Images Using Deformable Registration , 2011, STACOM.

[13]  Peter J. Hunter,et al.  OpenCOR: a modular and interoperable approach to computational biology , 2015, Front. Physiol..

[14]  Dd. Streeter,et al.  Gross morphology and fiber geometry of the heart , 1979 .

[15]  Ellen Kuhl,et al.  The Living Heart Project: A robust and integrative simulator for human heart function. , 2014, European journal of mechanics. A, Solids.

[16]  Jack Lee,et al.  Myocardial transversely isotropic material parameter estimation from in-silico measurements based on a reduced-order unscented Kalman filter. , 2011, Journal of the mechanical behavior of biomedical materials.

[17]  P. Tallec,et al.  An energy-preserving muscle tissue model: formulation and compatible discretizations , 2012 .

[18]  Hervé Delingette,et al.  Patient-specific Electromechanical Models of the Heart for the Prediction of Pacing Acute Effects in Crt: a Preliminary Clinical Validation , 2022 .

[19]  Karen S. Frese,et al.  Towards Personalized Cardiology: Multi-Scale Modeling of the Failing Heart , 2015, PloS one.

[20]  Benjamin Peherstorfer,et al.  Survey of multifidelity methods in uncertainty propagation, inference, and optimization , 2018, SIAM Rev..

[21]  A. Huxley Muscle structure and theories of contraction. , 1957, Progress in biophysics and biophysical chemistry.

[22]  Nikolaus Hansen,et al.  The CMA Evolution Strategy: A Comparing Review , 2006, Towards a New Evolutionary Computation.

[23]  P Moireau,et al.  Estimation of tissue contractility from cardiac cine-MRI using a biomechanical heart model , 2012, Biomechanics and modeling in mechanobiology.

[24]  Rémy Willinger,et al.  Multiplicative Jacobian Energy Decomposition Method for Fast Porous Visco-Hyperelastic Soft Tissue Model , 2010, MICCAI.

[25]  H Zhang,et al.  Models of cardiac tissue electrophysiology: progress, challenges and open questions. , 2011, Progress in biophysics and molecular biology.

[26]  Helko Lehmann,et al.  euHeart: personalized and integrated cardiac care using patient-specific cardiovascular modelling , 2011, Interface Focus.

[27]  Peter J. Hunter,et al.  An Overview of CellML 1.1, a Biological Model Description Language , 2003, Simul..

[28]  Alejandro F. Frangi,et al.  Personalization of a cardiac electromechanical model using reduced order unscented Kalman filtering from regional volumes , 2013, Medical Image Anal..

[29]  Alejandro F. Frangi,et al.  Automated Personalised Human Left Ventricular FE Models to Investigate Heart Failure Mechanics , 2012, STACOM.

[30]  Hervé Delingette,et al.  A Multiscale Cardiac Model for Fast Personalisation and Exploitation , 2016, MICCAI.

[31]  Hervé Delingette,et al.  Noname manuscript No. (will be inserted by the editor) Fast Parameter Calibration of a Cardiac Electromechanical Model from Medical Images based on the Unscented Transform , 2012 .

[32]  Dorin Comaniciu,et al.  Learning-Based Detection and Tracking in Medical Imaging: A Probabilistic Approach , 2013 .