IP Library › Granted Patent US 12,322,510
Granted Patent B2
US 12,322,510 · App. 18/175,337 · Granted Jun 3, 2025

Systems and methods for providing active contraction properties of the myocardium using limited clinical metrics

Inventors: Igor Nobrega (Tampa, FL); Wenbin Mao (Tampa, FL)
Assignee: UNIVERSITY OF SOUTH FLORIDA
G16H50/20
View Patent ↗
Loading inventors, assignments & file history…
Monitor This Case
Get email alerts when status or documents change.
Order Certified Copies
Most orders are placed with the USPTO same day — all within 24 business hours.
Order via The Patent Place →
Pre-filled with this patent's details
Quick Facts
Patent No.
US 12,322,510
App. No.
18/175,337
Granted
Jun 3, 2025
Kind
B2
Abstract

A deep learning model can be used for the identification of active contraction properties of the myocardium using limited clinical methods. A method for identifying the active contraction properties can include inputting a plurality of clinical metrics into a deep learning model. The method can further include inputting a representation of a cardiac cycle through a pressure volume-loop into the deep learning model. The deep learning model can include a first process layer with a first intermediate output and a second process layer that receives the first intermediate output as a first intermediate input. The method can further include outputting one or more contraction properties of the myocardium.

Claims (37)

1. A method for providing active contraction properties of a myocardium, the method comprising:

inputting a plurality of clinical metrics into a deep learning model;

inputting a representation of a cardiac cycle through a pressure-volume loop into the deep learning model, the deep learning model including a first process layer with a first intermediate output and a second process layer that receives the first intermediate output as a first intermediate input; and

outputting one or more contraction properties of the myocardium.

2. The method of claim 1 , wherein the clinical metrics are extracted from one or more medical imaging modalities.

3. The method of claim 1 , wherein the clinical metrics include longitudinal shortening, radial shortening, wall thickening, longitudinal strain, circumferential strain, and ejection fraction.

4. The method of claim 1 , wherein at least one contraction property includes fiber orientation.

5. The method of claim 1 , wherein at least one contraction property includes a gamma waveform.

6. The method of claim 1 , wherein the first process layer includes a first stage, and

wherein the first stage receives the pressure-volume loop and treats the pressure-volume loop as a static signal with two channels and reduces the data dimension by employing a series of convolution neural network encoders to produce PV codes that represent characteristics of the pressure-volume loop.

7. The method of claim 6 , wherein the first process layer includes a second stage, and

wherein the second stage concatenates the PV codes with the clinical metrics to provide concatenated data.

8. The method of claim 7 , wherein the first process layer includes a third stage,

wherein the third stage takes the concatenated data and employs a succession of fully connected layers with local skip connections at every two layers and general skip connections to initial information at every five layers to generate a set of fiber orientations,

and wherein the set of fiber orientations are configured as the first intermediate output.

9. The method of claim 1 , wherein the second process layer includes a first stage, and

wherein the first stage concatenates the pressure volume-loop with the clinical metrics and the first intermediate output.

10. The method of claim 9 , wherein the second process layer includes a second stage, and

wherein the second stage employs a recurrent neural network to retrieve gamma waveform as a time-distributed sequence.

11. The method of claim 1 , wherein the clinical metrics are estimated from a machine learning model that has been pre-trained on a time-independent dataset of geometric characteristics.

12. The method of claim 1 , wherein the pressure-volume loop is provided by a lumped parameter model that generates a broad spectrum of physiological and pathological pressure-volume loops.

13. The method of claim 1 , wherein one or more of the clinical metrics or the representation of a cardiac cycle includes patient-specific data.

14. A method of data generation for training, validating, or testing a model for outputting properties of a myocardium, the method comprising:

inputting an initial pressure-volume loop into a training model;

inputting initial fiber orientations into the training model;

combining pressure and volume values with fiber orientations in a first intermediate model of the training model to produce geometric characteristics to form synthetic clinical metrics;

combining pressure and volume values with fiber orientations in a second intermediate model of the training model to generate a synthetic gamma waveform; and

supplying the pressure-volume loop and the synthetic clinical metrics to a deep learning model of the training model.

15. The method of claim 14 , further comprising:

outputting, from the deep learning model, an estimated gamma waveform based on the pressure-volume loop and synthetic clinical metrics.

16. The method of claim 14 , wherein the initial pressure-volume loop is generated pseudo-randomly.

17. The method of claim 14 , wherein the pressure and volume values are taken at an end-diastolic period and an end-systolic period.

18. The method of claim 14 , wherein forming the synthetic clinical metrics and generating the gamma waveform are executed in parallel.

19. A method of using a constitutive model in a clinical application when limited clinical data is available, the method comprising:

extracting constitutive model parameters from basic clinical measures, the basic clinical measures including a pressure-volume loop and measurements in only two timesteps of a left ventricle,

the constitutive model configured to correlate applied forces with a material's mechanical response by incorporating characteristics of morphology of tissue into its internal composition to provide tissue behavior analysis.

20. The method of claim 19 , wherein one of the two timesteps is at an end-systole time frame and the other of the two timesteps is at an end-systole time frame.

Continuity (2)
Provisional Application 63314284 · Feb 25, 2022
Related Publication 20230274837A1 · Aug 31, 2023
References Cited (116)
US 11024404B2 · Mihalef et al. · 2021 [cited by applicant]
US 20080319308A1 · Tang · 2008 [cited by examiner]
US 20100113945A1 · Ryan · 2010 [cited by examiner]
US 20160228190A1 · Georgescu · 2016 [cited by examiner]
US 20170172518A1 · Vallee · 2017 [cited by examiner]
US 20190197199A9 · Mansi · 2019 [cited by examiner]
US 20200100768A1 · Torres · 2020 [cited by examiner]
US 20200226757A1 · Hare, II · 2020 [cited by examiner]
US 20220068481A1 · Maessen · 2022 [cited by examiner]
US 20220101530A1 · Trayanova · 2022 [cited by examiner]
US 20230149089A1 · Trayanova · 2023 [cited by examiner]
US 20230187052A1 · Chen · 2023 [cited by examiner]
US 20230274837A1 · Nobrega et al. · 2023 [cited by applicant]
US 20240423553A1 · Lloyd · 2024 [cited by examiner]
DE 102021107604A1 · 2022 [cited by examiner]
Cai et al. Surrogate models based on machine learning methods for parameter estimation of left ventricular myocardium, R. Soc. Open Sci. 8: 201121 https://doi.org/10.1098/rsos.201121. [cited by examiner]
Dabiri et al. Prediction of Left Ventricular Mechanics Using Machine Learning, Front Phys. Sep. 2019 ; 7: . doi: 10.3389/fphy.2019.00117. [cited by examiner]
Bayer et al. A Novel Rule-Based Algorithm for Assigning Myocardial Fiber Orientation to Computational Heart Models, Ann Biomed Eng. Oct. 2012 ; 40(10): 2243-2254. doi: 10.1007/s10439-012-0593-5. [cited by examiner]
Courville, I.G.a.Y.B.a.A., Deep Learning. 2016: MIT Press. [Book]. [cited by applicant]
Alcidi, Gian Marco, et al. “Normal reference values of multilayer longitudinal strain according to age decades in a healthy population: A single-centre experience.” European Heart Journal-Cardiovascular Imaging 19.12 (2… [cited by applicant]
Antonini-Canterin, Francesco, et al. “The ventricular-arterial coupling: from basic pathophysiology to clinical application in the echocardiography laboratory.” Journal of cardiovascular echography 23.4 (2013): 91. [cited by applicant]
Asner, Liya, et al. “Estimation of passive and active properties in the human heart using 3D tagged MRI.” Biomechanics and modeling in mechanobiology 15 (2016): 1121-1139. [cited by applicant]
Avazmohammadi, Reza, et al. “An integrated inverse model-experimental approach to determine soft tissue three-dimensional constitutive parameters: application to post-infarcted myocardium.” Biomechanics and modeling in … [cited by applicant]
Barbarotta, Luca, et al. “A transmurally heterogeneous orthotropic activation model for ventricular contraction and its numerical validation.” International journal for numerical methods in biomedical engineering 34.12 … [cited by applicant]
Bayer, Jason D., et al. “A novel rule-based algorithm for assigning myocardial liber orientation to computational heart models.” Annals of biomedical engineering 40 (2012): 2243-2254. [cited by applicant]
Benjamin, E., et al. (2019) Heart Disease and Stroke Statistics—2019 Update: A Report From the American Heart Association. Circulation, 2019. [cited by applicant]
Bogaert, Jan, and Frank E. Rademakers. “Regional nonuniformity of normal adult human left ventricle.” American Journal of Physiology—Heart and Circulatory Physiology 280.2 (2001): H610-H620. [cited by applicant]
Boyett, M. R., J. E. Frampton, and M. S. Kirby, “The length, width and volume of isolated rat and ferret ventricular myocytes during twitch contractions and changes in osmotic strength.” Experimental Physiology: Transla… [cited by applicant]
Carreras, F., et al. “Left ventricular torsion and longitudinal shortening: two fundamental components of myocardial mechanics assessed by tagged cine-MRI in normal subjects.” The international journal of cardiovascular… [cited by applicant]
Chabiniok, Radomir, et al. “Estimation of tissue contractility from cardiac cine-MRI using a biomechanics heart model.” Biomechanics and modeling in mechanobiology 11 (2012): 609-630. [cited by applicant]
Cheng, J., & Zhang, L. T. (2018). A general approach to derive stress and elasticity tensors for hyperelastic isotropic and anisotropic biomaterials. International journal of computational methods, 15(04), 1850028. [cited by applicant]
Chengode, Suresh, “Left ventricular global systolic function assessment by echocardiography.”Annals of cardiac anaesthesia 19.Suppl 1 (2016): S26. [cited by applicant]
Cilla, Myriam, et al. “On the use of machine learning techniques for the mechanical characterization of soft biological tissues.” International journal for numerical methods in biomedical engineering 34.10 (2018): e3121. [cited by applicant]
Dabiri, Yaghoub, et al. “Method for calibration of left ventricle material properties using three-dimensional echocardiography endocardial strains.” Journal of biomechanical engineering 141.8 (2019): pp. 091007-1-091007… [cited by applicant]
Dabiri, Yaghoub, et al. “Application of feed forward and recurrent neural networks in simulation of left ventricular mechanics.” Scientific Reports 10.1 (2020): 22298, pp. 1-11. [cited by applicant]
Di Donato, Marisa, et al. “Left ventricular geometry in normal and post-anterior myocardial infarction patients: sphericity index and ‘new’conicity index comparisons.” European journal of cardio-thoracic surgery 29.Supp… [cited by applicant]
Doersch, Carl. (2016). Tutorial on Variational Autoencoders. stat, 1050, 13; pp. 1-23. [cited by applicant]
Dokos, Socrates, et al. “Shear properties of passive ventricular myocardium.” American Journal of Physiology—Heart and Circulatory Physiology 283.6 (2002): H2660-H2659. [cited by applicant]
Dumesnil, J. G., & Shoucri, R. M. (1991). Quantitative relationships between left ventricular ejection and wall thickening and geometry. Journal of applied physiology, 70(1), 48-54. [cited by applicant]
Edvardsen, Thor, and Kristina H. Haugaa. “Imaging assessment of ventricular mechanics.” Heart 97.16 (2011): 1349-1356. [cited by applicant]
Everaars, Henk, et al. “Strain analysis is superior to wall thickening in discriminating between infarcted myocardium with and without microvascular obstruction.” European Radiology 28 (2018): 6171-6181. [cited by applicant]
Finsberg, Henrik, et al. “Estimating cardiac contraction through high resolution data assimilation of a personalized mechanical model.” Journal of computational science 24 (2018): 86-90. [cited by applicant]
Finsberg, Henrik, et al. “Efficient estimation of personalized biventricular mechanical function employing gradient-based optimization.” International journal for numerical methods in biomedical engineering 34.7 (2018):… [cited by applicant]
Galati F. Ourselin S, Zuluaga MA (2022) From Accuracy to Reliability and Robustness in Cardiac Magnetic Resonance Image Segmentation: A Review. Applied Sciences 12. doi:10.3390/app12083936. pp. 1-19. [cited by applicant]
Galderisi, Maurizio, et al. “Standardization of adult transthoracic echocardiography reporting in agreement with recent chamber quantification, diastolic function, and heart valve disease recommendations: an expert cons… [cited by applicant]
Gasser, T. C., Ogden, R. W., & Holzapfel, G. A. (2006). Hyperelastic modelling of arterial layers with distributed collagen fibre orientations. Journal of the royal society interface, 3(6), 16-35. [cited by applicant]
Gao, H., et al. “Parameter estimation in a Holzapfel-Ogden law for healthy myocardium.” Journal of engineering mathematics 95 (2015): 231-248. [cited by applicant]
Germano, Guido, et al. “Automatic quantification of ejection fraction from gated myocardial perfusion SPECT.” Journal of Nuclear Medicine 36.11 (1995): 2138-2147. [cited by applicant]
Gilbert, S.H., et al., Regional localisation of left ventricular sheet structure: integration with current models of cardiac libre, sheet and band structure. 2007, Elsevier Science B.V., Amsterdam.: Netherlands, p. 231. [cited by applicant]
Guan, Debao, et al. “On the AIC-based model reduction for the general Holzapfel-Ogden myocardial constitutive law.” Biomechanics and Modeling in Mechanobiology 18 (2019): 1213-1232. [cited by applicant]
Gökiepe, Serdar, el al. “Computational modeling of passive myocardium.” International Journal for Numerical Methods in Biomedical Engineering 27.1 (2011): 1-12. [cited by applicant]
Goldberger, Ary L., et al. “PhysioBank, PhysioToolkit, and PhysioNet: components of a new research resource for complex physiologic signals.” circulation 101.23 (2000): e215-e220. [cited by applicant]
Hadjicharalambous, Myrianthi, et al. “Analysis of passive cardiac constitutive laws for parameter estimation using 3D tagged MRI.” Biomechanics and modeling in mechanobiology 14 (2016): 807-828. [cited by applicant]
Halevy, Alon, Peter Norvig, and Fernando Pereira. “The unreasonable effectiveness of data.” IEEE intelligent systems 24.2 (2009): 8-12. [cited by applicant]
Hasaballa, A. I. M. (2014). Finite Element Analysis of Left Ventricle Motion and Mechanical Properties in Three Dimensions. University of Malaya (Malaysia).[Book]. [cited by applicant]
Heldt, Thomas, et al. “CVSim: an open-source cardiovascular simulator for teaching and research.” The open pacing, electrophysiology & therapy journal 3 (2010): 46. [cited by applicant]
Hochreiter, Sepp, and Jürgen Schmidhuber. “Long short-term memory.” Neural computation 9.8 (1997): 1735-1780. [cited by applicant]
Hoerig, C., Ghaboussi, J., & Insana, M. F. (2017). An information-based machine learning approach to elasticity imaging. Biomechanics and modeling in mechanobiology, 16, 805-822. [cited by applicant]
Holzapfel, G. A., & Ogden, R. W. (2009). Constitutive modelling of passive myocardium: a structurally based framework for material characterization. Philosophical Transactions of the Royal Society A: Mathematical, Physi… [cited by applicant]
Huang, Dengpeng, et al. “A machine learning based plasticity model using proper orthogonal decomposition.” Computer Methods in Applied Mechanics and Engineering 365 (2020): 113008; pp. 1-33. [cited by applicant]
Hunter, Peter, et al. “A vision and strategy for the virtual physiological human in 2010 and beyond.” Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 368.1920 (2010): 2… [cited by applicant]
Kelly, D., et al. “Gene expression of stretch-activated channels and mechanoelectric feedback in the heart.” Clinical and experimental pharmacology and physiology 33.7 (2006): 642-648. [cited by applicant]
Kingma, D. P., & Welling, M. (2014). Auto-Encoding Variational Bayes. stat, 1050, 1; pp. 1-14. [cited by applicant]
Kohl, P., Hunter, P., & Noble, D. (1999). Stretch-induced changes in heart rate and rhythm: clinical observations, experiments and mathematical models. Progress in biophysics and molecular biology, 71(1), 81-138. [cited by applicant]
Kononenko, I. (2001). Machine learning for medical diagnosis: history, state of the art and perspective. Artificial Intelligence in medicine, 23(1), 1-25. [cited by applicant]
Nagata, Yasufumi, et al. “Normal range of myocardial layer-specific strain using two-dimensional speckle tracking echocardiography.” PLoS One 12.6 (2017): e0180584; 1-16. [cited by applicant]
Warriner. David R., et al. “Closing the loop: modelling of heart failure progression from health to end-stage using a meta-analysis of left ventricular pressure-volume loops.” PLoS One 9.12 (2014): e114163; 1-19. [cited by applicant]
Zhang, Xiaoyan, et al. “Evaluation of a novel finite element model of active contraction in the heart.” Frontiers in physiology 9 (2018): 425. [cited by applicant]
Kovacheva, Ekaterina, et al. “Estimating cardiac active tension from wall motion—An inverse problem of cardiac biomechanics.” International Journal for Numerical Metho is in Biomedical Engineering 37.12 (2021): e3448; p… [cited by applicant]
LeGrice, I.J., Y. Takayama, and J.W. Covell, Transverse Shear Along Myocardial Cleavage Planes Provides a Mechanism for Normal Systolic Wall Thickening. 1995. United States: American Heart Association Inc. [cited by applicant]
Liang, L., Liu, M., Martin, C., & Sun, W. (2018). A deep learning approach to estimate stribution: a fast and accurate surrogate of finite-element analysis. Journal of the Royal Society, Interface, 15(138) 844, pp. 1-10… [cited by applicant]
Lindsey, Merry L., et al. “Guidelines for measuring cardiac physiology in mice.” American Journal of Physiology—Heart and Circulatory Physiology 314.4 (2018): H733-H752. [cited by applicant]
Lunkenheimer, Paul P., et al. “Three-dimensional architecture of the left ventricular myocardium.” The Anatomical Record Part A: Discoveries in Molecular, Cellular, and Evolutionary Biology: An Official Publication of t… [cited by applicant]
Maciver, David H., Ismail Adeniran, and Henggul Zhang. “Left ventricular ejection fraction is d mined by both global myocardial strain and wall thickness.” IJC Heart & Vasculature 7 (2015): 113-118. [cited by applicant]
Maas, Steve A., et al. “A plugin framework for extending the simulation capabilities of FEBio.” Biophysical journal 115.9 (2018): 1630-1637. [cited by applicant]
Maas, Steve A., et al. “FEBio: finite elements for biomechanics.” (2012): 011005-1-011005-10. [cited by applicant]
Nelson, H.H.C., Building Machine Learning Pipelines. 1 ed. 2020: O'Reilly Media, Inc. [Book]. [cited by applicant]
Pezzuto, S., Ambrosi, D., & Quarteroni, A. L. F. I. O. (2014). An orthotropic active-strain model for the myocardium mechanics and its numerical approximation. European Journal of Mechanics-A/Solids, 48, 83-96. [cited by applicant]
Palit, Arnab, et al. “In vivo estimation of passive biomechanical properties of human myocardium.” Medical & biological engineering & computing 66 (2018): 1615-1631. [cited by applicant]
Rossi, S., et al. (2012). Orthotropic active strain models for the numerical simulation of cardiac biomechanics. International journal for numerical methods in biodmedical engineering, 28(6-7), 761-788. [cited by applicant]
Schmid, Holger, et al. “Myocardial material parameter estimation: a non-homogeneous finite element study from simple shear tests.” Biomechanics and modeling in mechanobiology 7 (2008): 161-162. [cited by applicant]
Slinde, Gaute Aasen. Numerical Modelling and Analysis of the Left Ventricle. MS thesis. NTNU, 2015, p. 1-137. [cited by applicant]
Stokke, Thomas M., et al. “Geometry as a confounder when assessing ventricular systolic function: comparison between ejection fraction and strain.” Journal of the American College of Cardiology 70.8 (2017): 942-954. [cited by applicant]
Støylen, Asbjørn, et al. “Left ventricular longitudinal shortening: relation to stroke volume and ejection fraction in ageing, blood pressure, body size and gender in the HUNT3 study.” Open Heart 7.2 (2020): e001243; 1-… [cited by applicant]
Talbot, S.R.R.V.T., Vascular system. 2019, Salem Press. [Book]. [cited by applicant]
Valliappa Lakshmanan, S.R.M.M., Machine Leaning Design Patterns. 1 ed. 2020: O'Reilly Media Inc. [Book]. [cited by applicant]
Vincent, Pascal, et al. “Stacked denoising autoencoders: Learning useful representations in a deep network with a local denoising criterion.” Journal of machine learning research 11.12 (2010); 3371-3408. [cited by applicant]
Voigt, Jens-Uwe, and Marta Cvijic. “2-and 3-dimensional myocardial strain in cardiac health and disease.” JACC: Cardiovascular Imaging 12.9 (2019): 1849-1863. [cited by applicant]
Voigt, Jens-Uwe, et al. “Definitions for a common standard for 2D speckle tracking echocardiography: consensus document of the EACVI/ASE/Industry Task Force to standardize deformation imaging.” European Heart Journal—Ca… [cited by applicant]
Wang, H. M., et al. “Structure-based finite strain modelling of the human left ventricle in diastole.” International journal for numerical methods in biomedical engineering 29.1 (2013): 83-103. [cited by applicant]
Wong, J., & Kuhl, E. (2014). Generating fibre orientation maps in human heart models using Poisson interpolation. Computer methods in biomechancis and biomedical engineering. 17(11), 1217-1226. [cited by applicant]
Yin, Frank CP, et al. “Quantification of the mechanical properties of noncontracting canine myocardium under simultaneous biaxial loading.” Journal of biomechanics 20.6 (1987): 577-689. [cited by applicant]
Jashan, Haki, et al. “Normal ranges of left ventricular strain in children: a meta-analysis.” Cardiovascular ultrasound 13 (2015): 1-16. [cited by applicant]
Jolly, Marie-Pierre, et al. “Automated assessments of circumferential strain from cine CMR correlate with LVEF declines in cancer patients early after receipt of cardio-toxic chemotherapy.” Journal of Cardiovascular Mag… [cited by applicant]
Kerkhof, Peter LM, et al. “Ejection fraction as related to basic components in the left and right ventricular volume domains.” International journal of cardiology 265 (2018): 105-110. [cited by applicant]
Kirchdoerfer, T., & Ortiz, M. (2016). Data-driven computational mechanics. Computer Methods in Applied Mechanics and Engineering, 304, 81-101. [cited by applicant]
Last, C.S.S.R.J., Last's anatomy : regional and applied. 12 ed. 2006: Churchill Livingstone;. 560. [Book]. [cited by applicant]
Litjens, Geert, et al. “State-of-the-art deep lea ovascular image analysis.” JACC: Cardiovascular imaging 12.8 Part 1 (2019): 1549-1565. [cited by applicant]
Mao, Wenbin, et al. “Fully-coupled fluid-structure interaction simulation of the aortic and mitral valves in a realistic 3D left ventricle model.” PloS one 12.9 (2017): e0184729. [cited by applicant]
Marx, Laura, et al. “Robust and efficient fixed-point algorithm for the inverse elastostatic problem to identify myocardial passive material parameters and the unloaded reference configuration.” Journal of computational… [cited by applicant]
Matthews, Stephen D., et al. “Myocardial contraction fraction: a volumetric measure of myocardial shortening analogous to strain.” Journal of the American College of Cardiology 71.2 (2018): 255-256. [cited by applicant]
Mueller-Freitag, M., 10 Data Acquisition Strategies for Startups. 2016: Medium, [Book]. [cited by applicant]
Moore, Christopher C., et al. “Three-dimensional systolic strain patterns in the normal human left ventricle: characterization with lagged MR imaging. ” Radiology 214.2 (2000): 453-468. [cited by applicant]
Mora, Vicente, et al. “Comprehensive assessment of left ventricular myocardial function by two-dimensional speckle-tracking echocardiography.” Cardiovascular ultrasound 16 (2018): 1-8. [cited by applicant]
Regazzoni, F., L. Dedè, and A. Quarteroni, “Machine learning of multiscale active force generation models for the efficient simulation of cardiac electromechanics.” Computer Methods in Applied Mechanics and Engineering … [cited by applicant]
Romaszko, Lukasz, et al. “Neural network-based left ventricle geometry prediction from CMR images with application in biomechanics.” Artificial Intelligence in Medicine 119 (2021): 102140; 1-20. [cited by applicant]
Rossi, Simone, et al. “Thermodynamically consistent orthotropic activation model capturing ventricular systolic wall thickening in cardiac electromechanics.” European Journal of Mechanics-A/Solids 48 (2014): 128-142. [cited by applicant]
Quarteroni, Alfio, et al. “Integrated heart—coupling multiscale and multiphysics models for the simulation of the cardiac function.” Computer Methods in Applied Mechanics and Engineering 314 (2017): 345-407. [cited by applicant]
Smiseth, Otto A., et al. “Myocardial strain imaging: how useful is it in clinical decision making?.” European heart journal 37.15 (2016): 1196-1207. [cited by applicant]
Seemann, Felicia, et al. “Noninvasive quantification of pressure-volume loops from brachial pressure and cardiovascular magnetic resonance.” Circulation: Cardiovascular Imaging 12.1 (2019): e008493. [cited by applicant]
Sermesant, Maxime, et al. “Cardiac function estimation from MRI using a heart model and data assimilation: advances and difficulties.” Medical image analysis 10.4 (2006): 642-656. [cited by applicant]
Spinelli, Letizia, et al. “Left ventricular radial strain impairment precedes hypertro n Anderson-Fabry disease.” The International Journal of Cardiovascular Imaging 36 (2020): 1466-1476. [cited by applicant]
Tang, Dalin, et al. “Image-based patient-specific ventricle models with fluid-structure interaction for cardiac function assessment and surgical design optimization.” Progress in pediatric cardiology 30.1-2 (2010): 51-6… [cited by applicant]
Tsugu, Toshimitsu, et al. “Echocardiographic reference ranges for normal left ventricular layer-specific strain: results from the EACVI NORRE study.” European Heart Journal—Cardiovascular Imaging 21.8 (2020): 896-906. [cited by applicant]
Viceconti, Marco, and Peter Hunter. “The virtual physiological human: ten years after.” Annual review of biomedical engineering 18 (2016): 103-123. [cited by applicant]
Weidman, S., Deep Learning from Scratch, 1 ed. 2019: O'Reilly Media, Inc. 236. [Book]. [cited by applicant]