Limitations of approximate solutions for computing the extracellular potential of single fibers and bundle equivalents. - Natalia A. Trayanova; Craig S. Henriquez; Robert Plonsey (IEEE Trans. Biomed. Eng., 1990)

A bidomain model with periodic intracellular junctions: a one-dimensional analysis. - Natalia A. Trayanova; Theo C. Pilkington (IEEE Trans. Biomed. Eng., 1993)

The response of a spherical heart to a uniform electric field: a bidomain analysis of cardiac stimulation. - Natalia A. Trayanova; Bradley J. Roth; Lisa J. Malden (IEEE Trans. Biomed. Eng., 1993)

A bidomain model for ring stimulation of a cardiac strand. - Natalia A. Trayanova (IEEE Trans. Biomed. Eng., 1994)

Discrete versus syncytial tissue behavior in a model of cardiac stimulation. I. Mathematical formulation. - Natalia A. Trayanova (IEEE Trans. Biomed. Eng., 1996)

Discrete versus syncytial tissue behavior in a model of cardiac stimulation. II. Results of simulation. - Natalia A. Trayanova (IEEE Trans. Biomed. Eng., 1996)

Extension of Refractoriness in a Model of Cardiac Defibrillation. - Natalia A. Trayanova; Felipe Aguel; Kirill B. Skouibine (Pacific Symposium on Biocomputing, 1999)

Patterns of and mechanisms for shock-induced polarization in the heart: a bidomain analysis. - Emilia Entcheva; Natalia A. Trayanova; Frank J. Claydon (IEEE Trans. Biomed. Eng., 1999)

Anode/cathode make and break phenomena in a model of defibrillation. - Kirill B. Skouibine; Natalia A. Trayanova; Peter K. Moore (IEEE Trans. Biomed. Eng., 1999)

Computational techniques for solving the bidomain equations in three dimensions. - Edward J. Vigmond; Felipe Aguel; Natalia A. Trayanova (IEEE Trans. Biomed. Eng., 2002)

Advances in Modeling Cardiac Defibrillation. - Felipe Aguel; James Eason; Natalia A. Trayanova (Int. J. Bifurc. Chaos, 2003)

Maintenance of Ventricular Fibrillation in Heterogeneous Ventricle. - Hermenegild Arevalo; Natalia A. Trayanova (EMBC, 2006)

Modulation of Shock-End Virtual Electrodoe Polarisation as a Direct Result of 3D Fluorescent Photon Scattering. - Martin J. Bishop 001; Blanca Rodríguez; Natalia A. Trayanova; David J. Gavaghan (EMBC, 2006)

Role of Cellular Uncoupling in Arrhythmogenesis in Ischemia Phase 1B. - Xiao Jie; Blanca Rodríguez; Natalia A. Trayanova (EMBC, 2006)

Transmural electrophysiological heterogeneities in action potential duration increase the upper limit of vulnerability. - Thushka Maharaj; Blanca Rodríguez; Robert Blake; Natalia A. Trayanova; David J. Gavaghan (EMBC, 2006)

Vulnerability to electric shocks in the regionally-ischemic ventricles. - Blanca Rodríguez; Brock Tice; Robert Blake; David Gavaghan; Natalia A. Trayanova (EMBC, 2006)

Somato-dendritic mechanisms underlying the electrophysiological properties of hypothalamic magnocellular neuroendocrine cells: A multicompartmental model study. - Alexander O. Komendantov; Natalia A. Trayanova; Jeffrey G. Tasker (J. Comput. Neurosci., 2007)

Nonlinear filtering for extracting orientation and tracing tubular structures in 2-D medical images. - Hasan Ertan Çetingül; René Vidal; Gernot Plank; Natalia A. Trayanova (ISBI, 2008)

Estimation of Multimodal Orientation Distribution Functions from Cardiac MRI for Tracking Purkinje Fibers Through Branchings. - Hasan Ertan Çetingül; Gernot Plank; Natalia A. Trayanova; René Vidal (ISBI, 2009)

Locally homogenized and de-noised vector fields for cardiac fiber tracking in DT-MRI images. - Alireza Akhbardeh; Fijoy Vadakkumpadan; Jason D. Bayer; Natalia A. Trayanova (Image-Guided Procedures, 2009)

Automatically Generated, Anatomically Accurate Meshes for Cardiac Electrophysiology Problems. - Anton J. Prassl; Ferdinand Kickinger; Helmut Ahammer; Vicente Grau; Jürgen E. Schneider; Ernst Hofer; Edward J. Vigmond; Natalia A. Trayanova; Gernot Plank (IEEE Trans. Biomed. Eng., 2009)

Image-based estimation of ventricular fiber orientations for patient-specific simulations. - Fijoy Vadakkumpadan; Hermenegild Arevalo; Can Ceritoglu; Michael I. Miller; Natalia A. Trayanova (EMBC, 2011)

Estimation of Local Orientations in Fibrous Structures With Applications to the Purkinje System. - Hasan Ertan Çetingül; Gernot Plank; Natalia A. Trayanova; René Vidal (IEEE Trans. Biomed. Eng., 2011)

Left-ventricular shape analysis for predicting sudden cardiac death risk. - Fijoy Vadakkumpadan; Natalia A. Trayanova; Laurent Younes; Katherine C. Wu (EMBC, 2012)

Subject specific, image based analysis and modeling in patients with atrial fibrillation from MRI. - Rob S. MacLeod; Joshua Blauer; Eugene G. Kholmovski; Ravi Ranjan; Nassir Marrouche; Natalia A. Trayanova; Kathleen McDowell; Gernot Plank (ISBI, 2012)

A Novel Methodology for Assessing the Bounded-Input Bounded-Output Instability in QT Interval Dynamics: Application to Clinical ECG With Ventricular Tachycardia. - Xiaozhong Chen; Natalia A. Trayanova (IEEE Trans. Biomed. Eng., 2012)

Image-Based Estimation of Ventricular Fiber Orientations for Personalized Modeling of Cardiac Electrophysiology. - Fijoy Vadakkumpadan; Hermenegild Arevalo; Can Ceritoglu; Michael I. Miller; Natalia A. Trayanova (IEEE Trans. Medical Imaging, 2012)

Estimation of ventricular fiber orientations in infarcted hearts for patient-specific simulations. - Fijoy Vadakkumpadan; Hermenegild Arevalo; Farhad Pashakhanloo; Anthony Alers; Fady Dawoud; Karl H. Schuleri; Daniel A. Herzka; Elliot R. McVeigh; Albert C. Lardo; Natalia A. Trayanova (ISBI, 2013)

Myocardial Infarct Segmentation and Reconstruction from 2D Late-Gadolinium Enhanced Magnetic Resonance Images. - Eranga Ukwatta; Jing Yuan 001; Wu Qiu; Katherine C. Wu; Natalia A. Trayanova; Fijoy Vadakkumpadan (MICCAI (2), 2014)

Disrupted Calcium Release as a Mechanism for Atrial Alternans Associated with Human Atrial Fibrillation. - Kelly C. Chang; Jason D. Bayer; Natalia A. Trayanova (PLoS Comput. Biol., 2014)

Image-based reconstruction of 3D myocardial infarct geometry for patient specific applications. - Eranga Ukwatta; Martin Rajchl; James A. White; Farhad Pashakhanloo; Daniel A. Herzka; Elliot R. McVeigh; Albert C. Lardo; Natalia A. Trayanova; Fijoy Vadakkumpadan (Image Processing, 2015)

Computational modeling of cardiac optogenetics: Methodology overview & review of findings from simulations. - Patrick M. Boyle; Thomas V. Karathanos; Emilia Entcheva; Natalia A. Trayanova (Comput. Biol. Medicine, 2015)

Corrigendum to: Computational modeling of cardiac optogenetics: Methodology overview & review of findings from simulations [Comput. Biol. Med. 65C (2015) 200-208]. - Patrick M. Boyle; Thomas V. Karathanos; Emilia Entcheva; Natalia A. Trayanova (Comput. Biol. Medicine, 2015)

Myocardial Infarct Segmentation From Magnetic Resonance Images for Personalized Modeling of Cardiac Electrophysiology. - Eranga Ukwatta; Hermenegild Arevalo; Kristina Li; Jing Yuan 001; Wu Qiu; Peter Malamas; Katherine C. Wu; Natalia A. Trayanova; Fijoy Vadakkumpadan (IEEE Trans. Medical Imaging, 2016)

Spatially Adaptive Multi-Scale Optimization for Local Parameter Estimation in Cardiac Electrophysiology. - Jwala Dhamala; Hermenegild Arevalo; John L. Sapp; Milan Horacek; Katherine C. Wu; Natalia A. Trayanova; Linwei Wang (IEEE Trans. Medical Imaging, 2017)

Computational Heart Modeling for Evaluating Efficacy of MRI Techniques in Predicting Appropriate ICD Therapy. - Eranga Ukwatta; Plamen Nikolov; Natalia A. Trayanova; Graham A. Wright (MICCAI (2), 2018)

Optimal contrast-enhanced MRI image thresholding for accurate prediction of ventricular tachycardia using ex-vivo high resolution models. - Dongdong Deng; Plamen Nikolov; Hermenegild Arevalo; Natalia A. Trayanova (Comput. Biol. Medicine, 2018)

Influence of LVAD function on mechanical unloading and electromechanical delay: a simulation study. - Aulia Khamas Heikhmakhtiar; Ah Jin Ryu; Eun Bo Shim; Kwang-Soup Song; Natalia A. Trayanova; Ki Moo Lim (Medical Biol. Eng. Comput., 2018)

Computational prediction of the effects of the intra-aortic balloon pump on heart failure with valvular regurgitation using a 3D cardiac electromechanical model. - Chang-Hyun Kim; Kwang-Soup Song; Natalia A. Trayanova; Ki Moo Lim (Medical Biol. Eng. Comput., 2018)

Computational analysis of the effect of mitral and aortic regurgitation on the function of ventricular assist devices using 3D cardiac electromechanical model. - Yoo Seok Kim; Ana R. Yuniarti; Kwang-Soup Song; Natalia A. Trayanova; Eun Bo Shim; Ki Moo Lim (Medical Biol. Eng. Comput., 2018)

Quantifying the uncertainty in model parameters using Gaussian process-based Markov chain Monte Carlo in cardiac electrophysiology. - Jwala Dhamala; Hermenegild Arevalo; John L. Sapp; B. Milan Horácek; Katherine C. Wu; Natalia A. Trayanova; Linwei Wang (Medical Image Anal., 2018)

4D cardiac electromechanical activation imaging. - Julien Grondin; Dafang Wang; Christopher S. Grubb; Natalia A. Trayanova; Elisa E. Konofagou (Comput. Biol. Medicine, 2019)

Universal atrial coordinates applied to visualisation, registration and construction of patient specific meshes. - Caroline H. Roney; Ali Pashaei; Marianna Meo; Rémi Dubois; Patrick M. Boyle; Natalia A. Trayanova; Hubert Cochet; Steven A. Niederer; Edward J. Vigmond (Medical Image Anal., 2019)

Anatomically-Informed Deep Learning on Contrast-Enhanced Cardiac MRI for Scar Segmentation and Clinical Feature Extraction. - Haley G. Abramson; Dan M. Popescu; Rebecca Yu; Changxin Lai; Julie K. Shade; Katherine C. Wu; Mauro Maggioni; Natalia A. Trayanova (CoRR, 2020)

Embedding high-dimensional Bayesian optimization via generative modeling: Parameter personalization of cardiac electrophysiological models. - Jwala Dhamala; Pradeep Bajracharya; Hermenegild Arevalo; John L. Sapp; B. Milan Horácek; Katherine C. Wu; Natalia A. Trayanova; Linwei Wang (Medical Image Anal., 2020)

Repolarization Gradients Alter Post-infarct Ventricular Tachycardia Dynamics in Patient-Specific Computational Heart Models. - Eric Sung; Adityo Prakosa; Natalia A. Trayanova (CinC, 2021)

Impact of augmented-reality improvement in ablation catheter navigation as assessed by virtual-heart simulations of ventricular tachycardia ablation. - Adityo Prakosa; Michael K. Southworth; Jennifer N. Avari Silva; Jonathan R. Silva; Natalia A. Trayanova (Comput. Biol. Medicine, 2021)

Electromechanical modeling of human ventricles with ischemic cardiomyopathy: numerical simulations in sinus rhythm and under arrhythmia. - Matteo Salvador; Marco Fedele; Pasquale Claudio Africa; Eric Sung; Luca Dedè; Adityo Prakosa; Jonathan Chrispin; Natalia A. Trayanova; Alfio Quarteroni (Comput. Biol. Medicine, 2021)

Fast Posterior Estimation of Cardiac Electrophysiological Model Parameters via Bayesian Active Learning. - Md Shakil Zaman; Jwala Dhamala; Pradeep Bajracharya; John L. Sapp; B. Milan Horácek; Katherine C. Wu; Natalia A. Trayanova; Linwei Wang (CoRR, 2021)

LASSNet: A Four Steps Deep Neural Network for Left Atrial Segmentation and Scar Quantification. - Arthur L. Lefebvre; Carolyna A. P. Yamamoto; Julie K. Shade; Ryan P. Bradley; Rebecca Yu; Rheeda L. Ali; Dan M. Popescu; Adityo Prakosa; Eugene G. Kholmovski; Natalia A. Trayanova (LAScarQS@MICCAI, 2022)

The role of mechano-electric feedbacks and hemodynamic coupling in scar-related ventricular tachycardia. - Matteo Salvador; Francesco Regazzoni 002; Stefano Pagani; Luca Dedè; Natalia A. Trayanova; Alfio Quarteroni (Comput. Biol. Medicine, 2022)

Feasibility of ECGI Endocardial Solutions in Localizing the VT Reentrant Circuit. - Maryam Toloubidokhti; Omar A. Gharbia; Natalia A. Trayanova; John L. Sapp; Linwei Wang (CinC, 2023)

SegBAW-Net: Segmentation of Bi-Atria and Wall Network Offering Valuable Insights into Challenge Data. - Arthur L. Lefebvre; Ishan Vatsaraj; Carolyna A. P. Yamamoto; Kensuke Sakata; Brock Tice; Natalia A. Trayanova; Eugene G. Kholmovski (CMRxRecon/MBAS/STACOM@MICCAI, 2024)

DIMON: Learning Solution Operators of Partial Differential Equations on a Diffeomorphic Family of Domains. - Minglang Yin; Nicolas Charon; Ryan Brody; Lu Lu 010; Natalia A. Trayanova; Mauro Maggioni (CoRR, 2024)

Graph Fourier Neural Kernels (G-FuNK): Learning Solutions of Nonlinear Diffusive Parametric PDEs on Multiple Domains. - Shane E. Loeffler; Zan Ahmad; Syed Yusuf Ali; Carolyna A. P. Yamamoto; Dan M. Popescu; Alana Yee; Yash Lal; Natalia A. Trayanova; Mauro Maggioni (CoRR, 2024)

Diffeomorphic Latent Neural Operators for Data-Efficient Learning of Solutions to Partial Differential Equations. - Zan Ahmad; Shiyi Chen; Minglang Yin; Avisha Kumar; Nicolas Charon; Natalia A. Trayanova; Mauro Maggioni (CoRR, 2024)

Digital twins in medicine. - Reinhard C. Laubenbacher; Borna Mehrad; Ilya Shmulevich; Natalia A. Trayanova (Nat. Comput. Sci., 2024)

A scalable framework for learning the geometry-dependent solution operators of partial differential equations. - Minglang Yin; Nicolas Charon; Ryan Brody; Lu Lu 010; Natalia A. Trayanova; Mauro Maggioni (Nat. Comput. Sci., 2024)

Defining myocardial fiber bundle architecture in atrial digital twins. - Roberto Piersanti; Ryan P. Bradley; Syed Yusuf Ali; Alfio Quarteroni; Luca Dede'; Natalia A. Trayanova (Comput. Biol. Medicine, 2025)

Digital twins enable stratification of persistent atrial fibrillation patients for ablation diminishing unnecessary heart damage. - Kensuke Sakata; Carolyna A. P. Yamamoto; Adityo Prakosa; Brock Tice; Syed Yusuf Ali; Shane E. Loeffler; Eugene G. Kholmovski; Sunil Kumar Sinha; Joseph E. Marine; Hugh Calkins; David D. Spragg; Natalia A. Trayanova (npj Digit. Medicine, 2025)