• Christoph J, Chebbok M, Richter C, Schroder-Schetelig J, Bittihn P, Stein S, Uzelac I, Fenton FH, Hasenfuss G, Gilmour RF, Luther S. “Electromechanical vortex filaments during cardiac fibrillation” Nature 555(7698): 2018.
  • Islam MA, Cleaveland R, Fenton FH, Grosu R, Jones PL, Smolka SA. “Probabilistic reachability for multi-parameter bifurcation analysis of cardiac alternans” Theoretical Computer Science, in press.


  • Cherry EM, Fenton FH, Krogh-Madsen T, Luther S, Parlitz U. “Introduction to Focus Issue: Complex Cardiac Dynamics” Chaos 27(9): 2017.
  • Barone A, Fenton FH, Veneziani A. “Numerical sensitivity analysis of a variational data assimilation procedure for cardiac conductivities” Chaos 27(9): 2017.
  • Cairns D, Fenton FH, Cherry EM. “Efficient parameterization of cardiac action potential models using a genetic algorithm” Chaos 27(9): 2017.
  • Ji Y, Uzelac I, Otani N, Luther S, Gilmour RF, Cherry EM, Fenton FH. “Synchronization as a mechanism for low-energy anti-fibrillation pacing” Heart Rhythm 14(8): 2017.
  • Gizzi A, Loppini A, Cherry EM, Cherubini C, Fenton FH, Filippi S. “Multi-band decomposition analysis: application to cardiac alternans as a function of temperature” Physiological Measurement 38(5): 2017.
  • Chen D, Gray RA, Uzelac I, Herndon C, Fenton FH. “Mechanism for amplitude alternans in electrocardiograms and the initiation of spatiotemporal chaos” Physical Review Letters 118(16): 2017.
  • Gurevich D, Herndon C, Uzelac I, Fenton FH, Grigoriev R. “Level-set Method for Robust Analysis of Optical Mapping Recordings of Fibrillation” Computing in Cardiology 44: 2017.
  • Uzelac I, Ji Y, Hornung D, Schroder-Scheteling J, Luther S, Gray R, Cherry EM, Fenton FH. “Simultaneous Quantification of Spatially Discordant Alternans in Voltage and Intracellular Calcium in Langendorff-Perfused Rabbit Hearts and Inconsistencies with Models of Cardiac Action Potentials and Ca Transients” Frontiers in Physiology 8(819): 2017.
  • Welsh A, Greco E, Fenton FH. “Dynamics of a human spiral wave” Physics Today 70(2): 2017.


  • Herndon C, Uzelac I, Farmer JT, Fenton FH. “Computational ECG reconstruction and validation from high-resolution optical mapping” Computing in Cardiology 2016.
  • Uzelac I, Herndon C, Farmer JT, Fenton FH. “Electrocardiogram reconstruction from high resolution voltage optical mapping” IEEE Engineering in Medicine and Biology Society 2016.
  • Fenton FH “Book review: Patterns in Excitable Media: Genesis, Dynamics, and Control” Physics today 69 (2), 48 2016
  • Hoffman NJ, LaVigne NS, Scorse ST, Fenton FH, Cherry EM “Reconstructing three-dimensional reentrant cardiac electrical wave dynamics using data assimilation” Chaos 26 (1), 013107 2016
  • Xue S, Lim H, Glimm J, Fenton FH, Cherry EM, “Sharp Boundary Electrocardiac Simulations” SIAM Journal on Scientific Computing 38 (1), B100-B117 2016
  • Ji YC, Fenton FH, “Numerical solutions of reaction-diffusion equations: Application to neural and cardiac models” American Journal of Physics 84 (626), 2016


  • Bueno-Orovio A, Cherry EM, Evans SJ, Fenton FH “Basis for the Induction of Tissue-Level Phase-2 Reentry as a Repolarization Disorder in the Brugada Syndrome” BioMed Research International 197586, 12 pages 2015
  • Ji YC, Gray RA, Fenton FH “Implementation of Contraction to Electrophysiological Ventricular Myocyte Models, and Their Quantitative Characterization via Post-Extrasystolic Potentiation” PloS One 10 (8), e0135699 2015
  • Islam MA, Murthy A, Bartocci E, Cherry EM, Fenton FH, Glimm J, Smolka SA, Grosu R. “Model-order reduction of ion channel dynamics using approximate bisimulation” Theoretical Computer Science 599, 34-46 2015
  • Uzelac I, Fenton FH. “Robust Framework for Quantitative Analysis of Optical Mapping Signal without Filtering” Computers in Cardiology, 461-464 2015


  • Filippi S, Gizzi A, Cherubini C, Luther S, Fenton FH “Mechanistic insights into hypothermic ventricular fibrillation: the role of temperature and tissue size” Europace, 16 (3), 424-434, 2014
  • Filippi S, Cherubini C, Gizzi A, Loppini A, Fenton FH “Spatio-temporal correlation of paced cardiac tissue”. Cardiovascular Oscillations (ESGCO) IEEE, 223-224, 2014
  • Garzon A, Grigoriev RO, Fenton FH “Continuous-time control of alternans in long Purkinje fibers”, Chaos 24 (3), 033124, 2014
  • Chen DD, Gray RA, Fenton FH “Modelling the take-off voltage of the action potential during fast pacing”, Computing in Cardiology Conference (CinC), 685-688 2014
  • Grosu R, Cherry EM, Clarke EM, Cleaveland R, Dixit S, Fenton FH, Gao S, Glimm J, Gray RA, Mangharam R, Ray A, Smolka SA “Compositional, approximate, and quantitative reasoning for medical cyber-physical systems with application to patient-specific cardiac dynamics and devices” Leveraging Applications of Formal Methods, Verification and Validation. Specialized Techniques and Applications 356-364 2014


  • Bragard J, Elorza J, Cherry EM, Fenton FH “Validation of a computational model of cardiac defibrillation.” Computing in Cardiology (CinC), 851-854, 2013
  • Uzelac I, Holcomb M, Reiserer RS, Fenton FH, Wikswo JP “High-power current source with real-time arbitrary waveforms for in vivo and in vitro studies of defibrillation.” Computing in Cardiology (CinC), 667-670, 2013
  • Kelly A, Ghouri IA, Kemi OJ, Bishop MJ, Bernus O, Fenton FH, Myles RC, “Subepicardial action potential characteristics are a function of depth and activation sequence in isolated rabbit hearts.” Circulation: Arrhythmia and Electrophysiology, 6 (4), 809-817, 2013
  • FH Fenton, A Gizzi, C Cherubini, N Pomella, S Filippi “Role of temperature on nonlinear cardiac dynamics.”, Physical Review E 87 (4), 042717, 2013
  • Murthy A, Bartocci E, Fenton FH, Glimm J, Gray R, Cherry RM, Smolka S, “Curvature analysis of cardiac excitation wavefronts.” Computational Biology and Bioinformatics, IEEE/ACM Transactions2013
  • Bragard J, Marin S, Cherry EM, Fenton FH “Study of Cardiac Defibrillation Through Numerical Simulations.” Without Bounds: A Scientific Canvas of Nonlinearity and Complex Dynamics, 2013
  • Gizzi A, Cherry EM, GilmourJr RF, Luther S, Filippi S, Fenton FH “Effects of pacing site and stimulation history on alternans dynamics and the development of complex spatiotemporal patterns in cardiac tissue.” Frontiers in physiology, 4, 2013


  • Cherry EM, Fenton FH. “Contribution of the Purkinje network to wave propagation in the canine ventricle: insights from a combined electrophysiological-anatomical model.” Nonlinear Dynamics 68 (3), 68 (3), 365-379, 2012
  • Cherry EM, Fenton FH, Gilmour RF “Mechanisms of ventricular arrhythmias: a dynamical systems-based perspective.” American Journal of Physiology-Heart and Circulatory Physiology, 2012
  • Chebbok M, Squires A, Schroeder-Schetelig J, Zabel M, Hasenfuss G, 
  • “Low-energy anti-fibrillation pacing (LEAP): A gentle, non traumatic defibrillation option” European Heart Journal 33, 381-3812012, 2012
  • Murthy A, Islam M, Bartocci E, Cherry EM, Fenton RH, Glimm J, “Approximate bisimulations for sodium channel dynamics.” Computational Methods in Systems Biology, 267-287, 2012


  • Luther S*, Fenton FH*, Kornreich BG, Squires A, Bittihn P, Hornung D, Zabel M, Flanders J, Gladuli A, Campoy L, Cherry EM, Luther G, Hasenfuss G, Krinsky VI, Pumir A, Gilmour RF Jr, Bodenschatz E. “Low-energy control of electrical turbulence in the heart.” Nature. Jul 13; 475(7355):235-9; 2011 (*) Equal first authors.
  • Cherry EM, Fenton FH. “Effects of boundaries and geometry on the spatial distribution of action potential duration in cardiac tissue” Journal of Theoretical Biology Vol 285, 164-176, 2011.
  • Bartocci E, Cherry EM, Glimm J, Grosu R, Smolka SA, Fenton FH. “Toward Real-time Simulation of Cardiac Dynamics”, CMSB 2011 9th International Conference on Computational Methods in Systems Biology, Sept. 21-23 pages 103-110. ACM, 2011.
  • Murthy A, Bartocci E, Fenton FH, Glimm J, Gray RA, Smolka SA, and Grosu R. “Curvature Analysis of Cardiac Excitation Wavefronts”, CMSB 2011 9th International Conference on Computational Methods in Systems Biology, Sept. 21-23 pages 151-160. ACM, 2011.
  • Grosu R, Batt G, Fenton FH, Glimm J, Le Guernic C, Smolka SA, Bartocci E. “From Cardiac Cells to Genetic Regulatory Networks” International Conference on Computer Aided Verification 6806, pp. 396-411, 2011.
  • Niederer SA, Kerfoot E, Benson A, Bernabeu MO, Bernus O, Bradley C, Cherry EM, Clayton R, Fenton FH, Garny A, Heidenreich E, Land S, Maleckar M, Pathmanathan P, Plank G, Rodriguez JF, Roy I, Sachse FB, Seemann G, Skavhaug O, Smith NP. “Verification of cardiac tissue electrophysiology simulations using an N-version benchmark”. Transactions of the Royal Society A.
  • Clayton RH, Bernus O; Cherry EM; Dierckx H; Fenton FH, Mirabella L, Panfilov S V, Sachse FB, Seeman G; Zhang H. “Models of cardiac tissue electrophysiology: Progress, challenges and open questions” Prog Biophys Mol Biol 104; 22-48 2011.
  • Fink M, Niederer SA, Cherry EM, Fenton FH, Koivumäki JT, Seemann G, Thul R, Zhang H, Sachse FB, Beard D, Crampin EJ, Smith NP. “Cardiac cell modeling: Observations from the heart of the cardiac physiome project”, Prog Biophys Mol Biol, 104; 2-21 2011.
  • Grosu R, Batt G, Fenton FH, Glimm J, Guernic C Le, Smolka SA, Bartocci E. “From cardiac cells to genetic regulatory networks.” Computer Aided Verification, 396-411 2011
  • Grosu R, Fenton FH, Smolka S, Bartocci E. “A Change of Perspective Yields Formal Analysis.” Software Engineering Workshop (SEW), 34th IEEE, 69-76 2011
  • Garzon A, Grigoriev RO, FH Fenton FH “Model-based control of cardiac alternans in Purkinje fibers.” Physical Review E 84 (4), 041927, 2011
  • Bartocci E, Singh R, von Stein FB, …., Fenton FH. “Teaching cardiac electrophysiology modeling to undergraduate students: laboratory exercises and GPU programming for the study of arrhythmias and spiral wave dynamics.” Advances in physiology education 35 (4), 427-437 2011
  • Fenton FH. “The Value of Simulation” Physics World 23:46-47 2010


  • Cherry EM and Fenton FH. “Realistic cardiac electrophysiology modeling: are we just a heartbeat away?” J. Physiol. 588, 2689; 2010 


  • Fenton FH, Luther S, Otani NF, Cherry EM, Pumir A, Bodenschatz E, Krinsky V, Gilmour RF Jr. “Termination of atrial fibrillation using pulsed low-energy far field stimulation” Circulation 120, 467-476: 2009.
  • Otani NF, Singh R, Fenton FH, Butcher J, DW Infanger DW, Neumann A, Luther S, Gilmour Jr RF. “Use of Ultrasound Imaging to Map Propagating Action Potential Waves in the Heart” Computers in Cardiology 2009.
  • Garzon A, Roman OG, Fenton FH. “Model-based control of cardiac alternans on a ring” Physical Review E 80:021932 2009.


  • Cherry EM, Fenton FH. “Visualization of spiral and scroll waves in simulated and experimental cardiac tissue” New J. Phys. 10 125016 2008 (43pp). (Selected as New Journal of Physics Best of 2008 by the editors)
  • Fenton FH., Cherry EM. “Models of cardiac cell” Scholarpedia. 2008; 3(8):1868.
  • Fenton FH, Cherry EM, Kornreich BG. “Termination of equine atrial fibrillation by quinidine: An optical mapping study”. Journal of Veterinary Cardiology 2008, 10 87-102. (Article featured in the Journal Cover)
  • Otani NF, Mo A, Mannava S, Fenton FH, Cherry EM, Luther S, Gilmour RF, Jr. “Predator-prey approach to analyzing complex dynamics in cardiac tissue” 2008; Physical Review E 78, 021913.
  • Fenton FH, Cherry EM, Glass Leon. “Cardiac arrhythmia” Scholarpedia. 2008; 3(7):1665.
  • Bueno-Orovio A., Cherry EM, Fenton FH. “Minimal Model for Human Ventricular Action Potential in Tissue” Journal of Theoretical Biology  2008; 253: 544-560.


  • Cherry EM., Ehrlich JR, Nattel S, Fenton FH. “Pulmonary Vein Reentry-Properties and Size Matter: Insights from a Computational Analysis” Heart Rhythm 2007; 12: 1553-1562. (Article featured in the Journal Cover)
  • Cherry EM, Fenton FH. “A tale of two dogs: analyzing two models of canine ventricular electrophysiology” American Journal of Physiology 2007; 292: H43-H55.


  • Bueno-Orovio A., Perez-Garcia VM., and Fenton FH. “Spectral Methods for Partial Differential Equations in Irregular Domains: The Spectral Smoothed Boundary Method” SIAM Journal on Scientific Computing 2006; Vol. 28, N.3; 886-900.
  • Fenton FH, Orovio AB, Evans SJ, Cherry EM “Reentrant arrhythmias in human ventricular models” Heart Rhythm 2006 3 (5) S186.
  • Cherry EM, Gilmour RF, Fenton FH “Tissue dynamics of two models of canine ventricular cell electrophysiology: Restitution, memory and reentry properties” Heart Rhythm 2006 3 (5) S227.
  • Fenton FH, Cherry EM, Hastings, HM, Evans SJ “Web-based programs for learning cardiac electrophysiology: Interaactive simulations of heart cells and tissue” Heart Rhythm 2006 3 (5) S136.


  • Fenton FH., Cherry EM., Karma A., Rappel WJ.
    “Modeling Wave Propagation in Realistic Heart Geometries Using the Phase-Field Method” Chaos 2005; 15: 013502.
  • Chen X, Fenton FH, Gray RA  “Head-tail interactions in numerical simulations of reentry in a ring of cardiac tissue.” Heart Rhythm 2005 ; 2 (9), 1038-1046.
  • Fenton FH, Cherry EM, Gray RA, Hastings HM, Evans SJ. “Fibrillation without alternans in porcine ventricles” Heart Rhythm 2005 2 (5) S301-S302.


  • Cherry EM, Fenton FH. “Suppression of Alternans and Conduction Blocks Despite Steep APD Restitution: Electrotonic, Memory and Conduction Velocity Restitution Effects” American Journal of Physiology 2004; 286: H2332-2341.
  • Fenton FH, Cherry EM, Ehrlich JR, Nattel S, Evans SJ. “A simulation study of atrial fibrillation initiation: Differences in resting membrane potential can produce spontaneous activations at the pulmonary vein-left atrial junction” Heart Rhythm 2004 1 S187-S188.


  • Cherry EM, Rappel WJ, Evans SJ, Fenton F “Effects of wall heterogeneity in an anatomically realistic model of canine ventricles: A simulation study” PACE 2003 26, 1109.


  • Fenton FH, Cherry EM, Hastings HM, Evans SJ. “Multiple mechanisms of spiral wave breakup in a model of cardiac electrical activity” Chaos 2002; 12: 852-892.
  • Fenton FH, Cherry EM, Hastings HM, Evans SJ. “Real-time Computer Simulations of Excitable Media: Java as a Scientific Language and as a Wrapper for C and Fortran Programs” BioSystems 2002; 64: 73-96.


  • Watanabe M, Fenton F, Evans S, Hastings H, Karma A. “Mechanisms for Discordant Alternans” Journal of Cardiovascular Electrophysiology 2001; 12: 196-206.


  • Hastings H, Fenton F, Evans SJE, Hotomaroglu O, Geetha J, Gittelson K, Nilson J, Garfinkel A. “Alternans and the Onset to Ventricular Fibrillation” Physical Review E 2000; 62: 4043-4048.
  • Fenton F, Karma A, Hastings H, Evans SJE. “Transition from ventricular tachycardia to ventricular fibrillation as a function of tissue characteristics in a computer model” Europace 1 2000
  • Fenton F. H. “Numerical Simulations of Cardiac Dynamics. What can we learn from simple and complex models?” Computers in Cardiology 2000; 251-254


  • Fenton F, Evans S, Hastings H. “Memory in an excitable medium; A mechanism for spiral wave breakup in the low-excitability limit” Physical Review Letters 1999; 83: 3964-3967.
  • Rappel WJ, Fenton F, Karma A. “Spatiotemporal Control of Wave Instabilities in Cardiac Tissue” Physical Review Letters 1999; 83: 456-459.


  • Fenton F, Karma A. “Instability of Electrical Vortex Filament and Wave Turbulence in Thick Cardiac Muscle” Physical Review Letters 1998; 81: 481-484.
  • Fenton F, Karma A. “Vortex Dynamics in 3D Continuous Myocardium With Fiber Rotation: Filament Instability and Fibrillation” Chaos 1998; 8: 20-47. (Errata for table: Chaos 1998; 8: 879.)


  • Fenton F, Karma A. “A new three-variable mathematical model of action potential propagation in cardiac tissue.” APS March Meeting Abstract Vol 1. pg. 2012. 1996