Modeling the Heart
PhysiologyPublished 22 July 2004
Denis Noble
Citations79
SJR quartileQ1
SJR score1.87
SNIP1.73
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TL;DR
Models of the heart have been developed since 1960, starting with the discovery and modeling of potassium channels, and have now reached a high degree of physiological detail.
Abstract
Models of the heart have been developed since 1960, starting with the discovery and modeling of potassium channels. The first models of calcium balance were made in the 1980s and have now reached a high degree of physiological detail. During the 1990s, these cell models were incorporated into anatomically detailed tissue and organ models.
Keywords
MedicineBiochemistry, Genetics and Molecular Biology
The Journal of PhysiologyA quantitative description of membrane current and its application to conduction and excitation in nerve
23,234 Citations1952A. L. Hodgkin, A. F. Huxley
This article concludes a series of papers concerned with the flow of electric current through the surface membrane of a giant nerve fibre by putting them into mathematical form and showing that they will account for conduction and excitation in quantitative terms.
The Geometry of Biological Time
3,584 Citations1980Arthur T. Winfree
NatureATP-regulated K+ channels in cardiac muscle
2,331 Citations1983Akinori Noma
Application of the patch-clamp technique to CN-treated mammalian heart cells reveals specific K+ channels which are depressed by intracellular ATP (ATPi) at levels greater than 1 mM, which seems to be important for regulation of cellular energy metabolism in the control of membrane excitability.
Journal of Cardiovascular Disease ResearchExcitation-Contraction Coupling and Cardiac Contractile Force
1,609 Citations2010Donald M. Bers, Yujie Zhu
Circulation ResearchA dynamic model of the cardiac ventricular action potential. I. Simulations of ionic currents and concentration changes.
1,589 Citations1994C H Luo, Yoram Rudy
The model provides the basis for the study of arrhythmogenic activity of the single myocyte including afterdepolarizations and triggered activity and can simulate cellular responses under different degrees of Ca2+ overload.
The Journal of General PhysiologyTwo components of cardiac delayed rectifier K+ current. Differential sensitivity to block by class III antiarrhythmic agents.
1,472 Citations1990Michael C. Sanguinetti, Nancy K. Jurkiewicz
The magnitude of IKr was small relative to fully activated IKs, and the two currents were of similar magnitude when measured during a relatively short pulse protocol at membrane potentials typical of the plateau phase of cardiac action potentials.
American Journal of Physiology-Heart and Circulatory PhysiologyA model for human ventricular tissue
1,436 Citations2004Kirsten ten Tusscher, Denis Noble +2 more
A mathematical model of the action potential of human ventricular cells that, while including a high level of electrophysiological detail, is computationally cost-effective enough to be applied in large-scale spatial simulations for the study of reentrant arrhythmias.
The Journal of PhysiologyReconstruction of the action potential of ventricular myocardial fibres
1,430 Citations1977George W. Beeler, H. Réuter
A mathematical model of membrane action potentials of mammalian ventricular myocardial fibres is described, based as closely as possible on ionic currents which have been measured by the voltage‐clamp method.
The Journal of PhysiologyThe dependence of calcium efflux from cardiac muscle on temperature and external ion composition
1,021 Citations1968H. Réuter, N. Seitz
Exchangeable Ca in guinea‐pig auricles and ventricular trabeculae of sheep and calf hearts was labelled with 45Ca and the loss of radioactivity into inactive rinsing solutions of different ion composition was measured for periods up to 6 hr.
The Journal of PhysiologyA modification of the Hodgkin—Huxley equations applicable to Purkinje fibre action and pacemaker potentials
950 Citations1962Denis Noble
Philosophical transactions of the Royal Society of London. Series B, Biological sciencesA model of cardiac electrical activity incorporating ionic pumps and concentration changes
835 Citations1985D. Di Francesco, Denis Noble
The model takes account of extensive developments in experimental work since the formulation of the M.N. Noble equations, and successfully account for all the properties formerly attributed to i $\_{K2}$ , as well as giving more complete descriptions of i $\_K$ and i $\-K$ .
Annual Review of PhysiologyPacemaker Mechanisms in Cardiac Tissue
833 Citations1993Dario DiFrancesco
The heartbeat is a sign of life, and not surprisingly it has attracted much interest and curiosity since the early stages of scientific investigation, but a search for the basis of spontaneous cardiac activity could only be undertaken several centuries after primitive observations with the development of techniques that allowed the study of the electrical properties of excitable tissues.
Circulation ResearchMolecular Regulation of Atrioventricular Valvuloseptal Morphogenesis
651 Citations1995Leonard M. Eisenberg, Roger R. Markwald
ScienceModeling the Heart--from Genes to Cells to the Whole Organ
628 Citations2002Denis Noble
A review of how the rapid growth in biological databases; models of cells, tissues, and organs; and the development of powerful computing hardware and algorithms have made it possible to explore functionality in a quantitative manner in the case of the heart illustrates this development.
The Journal of PhysiologyReconstruction of the electrical activity of cardiac Purkinje fibres.
565 Citations1975R. E. McAllister, Denis Noble +1 more
The electrical activity of Cardiac Purkinje fibres was reconstructed using a mathematical model of the membrane current and the individual components of ionic curent were described by equations based as closely as possible on previous experiments using the voltage clamp technique.
The Journal of PhysiologyThe dependence of slow inward current in Purkinje fibres on the extracellular calcium‐concentration
544 Citations1967H. Réuter
In sodium‐free solution electrical constants of short Purkinje fibres were similar to those in Tyrode solution, and Alterations in the extracellular calcium concentration had no appreciable effect on these constants.
Circulation ResearchMathematical Model of an Adult Human Atrial Cell
533 Citations1998Anders Nygren, Céline Fiset +5 more
A mathematical model of the human atria myocyte based on averaged voltage-clamp data recorded from isolated single myocytes and simulations suggest that the functional role of I(sus) can depend on the physiological/disease state of the cell.
Circulation ResearchA dynamic model of the cardiac ventricular action potential. II. Afterdepolarizations, triggered activity, and potentiation.
466 Citations1994C H Luo, Yoram Rudy
The action potential model presented in this journal is used to investigate phenomena that involve dynamic changes of [Ca2+]i, as described below, and reflects the time delay associated with translocation of Ca2+ from network SR to junctional SR.
Progress in Biophysics and Molecular BiologyModelling the mechanical properties of cardiac muscle
461 Citations1998Peter Hunter, Andrew D. McCulloch +1 more
The Journal of PhysiologyOutward membrane currents activated in the plateau range of potentials in cardiac Purkinje fibres
458 Citations1969Denis Noble, Richard W. Tsien
The results show that in this range slow outward current changes occur which are quite distinct from the potassium current activated in the pace‐maker range of potentials.
NatureLinking a genetic defect to its cellular phenotype in a cardiac arrhythmia
450 Citations1999Colleen E. Clancy, Yoram Rudy
A single-channel-based Markovian modelling approach is described that determines the cellular arrhythmogenic consequences of a mutation in the cardiac sodium channel that can lead to a clinical arrh rhythmogenic disorder (the long-QT syndrome) and sudden cardiac death.
Ion Channels in Excitable Membranes
439 Citations1996J. P. Ruppersberg
The action potential is triggered when the membrane potential, which was at the resting level, depolarizes and reaches the threshold of excitation, which triggers the action potential.
Circulation ResearchTwo Components of the Delayed Rectifier K<sup>+</sup>Current in Ventricular Myocytes of the Guinea Pig Type
419 Citations1995Jinglin Zeng, Kenneth R. Laurita +2 more
Examining the ionic currents and their underlying kinetic processes, it is found that activation of both IKr and IKs is the primary determinant of the APD restitution at shorter DIs, with Ca2+ current through L-type channels (ICa) playing a minor role.
Proceedings of the National Academy of SciencesSlowed conduction and ventricular tachycardia after targeted disruption of the cardiac sodium channel gene <i>Scn5a</i>
388 Citations2002George Papadatos, Polly M. R. Wallerstein +10 more
It is shown that disruption of the mouse cardiac sodium channel gene, Scn5a, causes intrauterine lethality in homozygotes with severe defects in ventricular morphogenesis whereas heterozygotes show normal survival.
American Journal of Physiology-Heart and Circulatory PhysiologyMathematical models of action potentials in the periphery and center of the rabbit sinoatrial node
350 Citations2000Hui Zhang, Arun V. Holden +5 more
Simulated action potentials are consistent with those recorded experimentally and have a more negative takeoff potential, faster upstroke, more positive peak value, prominent phase 1 repolarization, greater amplitude, shorter duration, and more negative maximum diastolic potential than the model-generated central action potential.
NatureCardiac Action and Pacemaker Potentials based on the Hodgkin-Huxley Equations
336 Citations1960Denis Noble
The equations describing the nerve action potential were formulated by Hodgkin and Huxley and it has been shown that the long action potentials induced by tetraethylammonium ions in squid nerve may also be reproduced.
Biophysical JournalCardiac Ca2+ Dynamics: The Roles of Ryanodine Receptor Adaptation and Sarcoplasmic Reticulum Load
333 Citations1998M. Saleet Jafri, John Jeremy Rice +1 more
This model reproduces transitions seen in force generation due to changes in pacing that cannot be simulated by previous models and shows improved behavior over existing models that lack detailed descriptions of subcellular Ca2+ regulatory mechanisms.
SIAM Journal on Applied MathematicsAn Anatomically Based Model of Transient Coronary Blood Flow in the Heart
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An efficient finite difference model of blood flow through the coronary vessels is developed and applied to a geometric model of the largest six generations of the coronary arterial network by constraining the form of the velocity profile across the vessel radius.
PubMedImproved guinea-pig ventricular cell model incorporating a diadic space, IKr and IKs, and length- and tension-dependent processes.
321 Citations1998Denis Noble, Anthony Varghese +2 more
The guinea-pig ventricular cell model, originally developed by Noble et al in 1991, has been greatly extended to include accumulation and depletion of calcium in a diadic space between the sarcolemma and the sarcoplasmic reticulum and has been found to reliably reproduce experimental observations.
Annual Review of PhysiologyCardiac Ion Channels
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This review discusses new tools and how their application to the problem of arrhythmias is generating new mechanistic insights to identify patients at risk for this condition and developing improved antiarrhythmic therapies.
Circulation ResearchIntegrative Analysis of Calcium Cycling in Cardiac Muscle
297 Citations2000David Eisner, Hyun Sik Choi +3 more
This review illustrates how analysis of the control of calcium requires an integrated approach in which several systems are considered and predicts that, under some conditions, the above interactions can result in instability rather than ordered control of contractility.
Annals of the New York Academy of SciencesMeasuring and Mapping Cardiac Fiber and Laminar Architecture Using Diffusion Tensor MR Imaging
252 Citations2005Patrick A. Helm, Mirza Faisal Beg +2 more
This article presents the large deformation diffeomorphic metric mapping (LDDMM) algorithm and shows that this algorithm may be used to bring ensembles of imaged and reconstructed hearts into correspondence so that variability of ventricular geometry, fiber, and sheet orientation may be quantified.
Experimental PhysiologyComputational physiology and the physiome project
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The state of the field at all the relevant levels of Integrative physiology is reviewed, and the tools that are being developed to tackle such complexity are reviewed.
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It is concluded that the laminar organization of myocytes determines unique electrical properties in three microstructurally defined directions at any point in the ventricular wall of the heart, and interlaminar clefts between layers of cardiomyocytes provide a substrate for bulk activation of the ventricles during defibrillation.
Proceedings of the Royal Society of London. Series B, Biological sciencesExcitation-contraction coupling and extracellular calcium transients in rabbit atrium: reconstruction of basic cellular mechanisms
241 Citations1987Donald W. Hilgemann, Denis Noble
The model reconstructs extracellular calcium transients and typical action-potential configuration changes during steady-state and non-steady-state stimulation from the mechanisms directly involved in trans-sarcolemmal calcium movements.
Circulation ResearchElectrophysiologic Effects of Acute Myocardial Ischemia
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A multicellular ventricular fiber model was used to determine mechanisms of slowed conduction and conduction failure during acute ischemia and highlights the interactive nature of electrophysiological ischemic changes during propagation.
The Journal of PhysiologyChloride ions and the membrane potential of Purkinje fibres
230 Citations1961Edward Carmeliet
The results suggest that the contribution of chloride ions to the total membrane conductance is low in a resting fibre but increases when a fibre is depolarized.
Differential Sensitivity to Block by Class III Antiarrhythmic Agents
201 Citations1990Michael C. Sanguinetti, Nancy K. JuP
Biophysical JournalAn Integrative Model of the Cardiac Ventricular Myocyte Incorporating Local Control of Ca2+ Release
200 Citations2002Joseph L. Greenstein, Raimond L. Winslow
This study presents a biophysically detailed model of the normal canine ventricular myocyte that conforms to local control theory and provides a means for studying the interrelationship between microscopic and macroscopic behaviors in a manner that would not be possible in experiments.
Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering SciencesModels of cardiac ventricular action potentials: iterative interaction between experiment and simulation
200 Citations2001Denis Noble, Yoram Rudy
The development of cardiac ventricular cell models since 1960 is reviewed with the focus on the interaction between simulation and experimental work and the ways in which it may be expected to advance in the future.
Wiley eBooksComputational biology of the heart
200 Citations1997Alexander V. Panfilov, Arun V. Holden
American Journal of Physiology-Renal PhysiologyRenal nerves in the pathogenesis of hypertension in experimental animals and humans
196 Citations1983Richard E. Katholi
The findings suggest that the afferent renal nerves contribute to the pathogenesis of renovascular hypertension by enhancing the activity of the sympathetic nervous system.
Physica D Nonlinear PhenomenaComplex dynamics of spiral waves and motion of curves
195 Citations1994Alexander S. Mikhailov, V. A. Davydov +1 more
Nature Reviews Molecular Cell BiologyThe rise of computational biology
190 Citations2002Denis Noble
The year 2001 saw a remarkable burst of interest in biological simulation, with several international meetings on the subject, and the inclusion, by journals, of web site references from which published models can be downloaded.
Annals of Biomedical EngineeringGeometric modeling of the human torso using cubic hermite elements
189 Citations1997Chris P. Bradley, Andrew J. Pullan +1 more
High-order (bicubic Hermite) surface elements are fitted to the data with a new nonlinear fitting procedure that minimizes the error in the fit while maintaining C1 continuity with nonlinear constraints.
The Journal of PhysiologyCurrent—voltage relations of Purkinje fibres in sodium‐deficient solutions
175 Citations1963Amy Hall, O. F. Hutter +1 more
The Journal of PhysiologySodium‐calcium exchange during the action potential in guinea‐pig ventricular cells.
166 Citations1989Terrance M. Egan, Denis Noble +4 more
Slow inward tail currents attributable to electrogenic sodium‐calcium exchange can be recorded by imposing hyperpolarizing voltage clamp pulses during the normal action potential of isolated guinea‐pig ventricular cells and it was found that temperature has a large effect on the tail current.
American Journal of Physiology-Heart and Circulatory PhysiologyAction potential propagation in inhomogeneous cardiac tissue: safety factor considerations and ionic mechanism
151 Citations2000Yan Wang, Yoram Rudy
A detailed model of the ventricular myocyte in a multicellular fiber was used to compute a location-dependent quantitative measure of conduction and to determine the kinetics and contribution of sodium current (I(Na) and L-type calcium current [I(Ca(L))] during conduction.
Experimental PhysiologyPossible role of calcium release from the sarcoplasmic reticulum in pacemaking in guinea‐pig sino‐atrial node
145 Citations1996L Rigg, Derek A. Terrar
It is proposed that calcium released from the SR plays an important, previously unrecognized, role in pacemaking in the sino‐atrial node, possibly through regulation of sarcolemmal ionic currents.
Annual Review of Biomedical EngineeringElectrophysiological Modeling of Cardiac Ventricular Function: From Cell to Organ
126 Citations2000Raimond L. Winslow, D. F. Scollan +4 more
Three topics of importance to modeling the integrative function of the heart are reviewed, including modeling of the ventricular myocyte and how anatomically and biophysically based models of the cardiac ventricles can be implemented on parallel computers.
Biophysical JournalModeling Gain and Gradedness of Ca2+ Release in the Functional Unit of the Cardiac Diadic Space
125 Citations1999John Jeremy Rice, M. Saleet Jafri +1 more
Results obtained with the stochastic model suggest that high gain and gradedness can occur by the recruitment of independent FRUs without requiring spatial [Ca2+] gradients within a functional unit or cross-coupling between adjacent functional units.
British Journal of PharmacologyThe effects of ryanodine, EGTA and low‐sodium on action potentials in rat and guinea‐pig ventricular myocytes: evidence for two inward currents during the plateau
116 Citations1984Mary R. Mitchell, Theresa L. Powell +2 more
It is concluded that an inward current activated by internal calcium contributes to the late phase of the action potential in rat cells, and to the plateau in guinea‐pig cells.
Progress in Biophysics and Molecular BiologyModelling myocardial ischaemia and reperfusion
112 Citations1998Frederick Ch’en, Richard D. Vaughan‐Jones +2 more
A biochemically and biophysically detailed model of cardiac metabolism that provides a novel approach to studying myocardial ischaemia and reperfusion and suggests a strategy for the control of cardiac arrhythmias during calcium overload by regulating sodium-calcium exchange.
BioEssaysModelling the heart: insights, failures and progress
110 Citations2002Denis Noble
Cell types in all regions of the heart have been modelled and they are now being incorporated into anatomically detailed models of the whole organ, leading to the creation of the first 'virtual organ,' which is being used in drug discovery and testing, and in simulating the action of devices, such as cardiac defibrillators.
Computing and Visualization in ScienceComputer simulations of cardiac defibrillation: a look inside the heart
106 Citations2002Natalia A. Trayanova, James Eason +1 more
Two models of defibrillation are presented: a three-dimensional slice of the canine heart that encompasses both ventricular cavities, and a full rabbit heart model, which demonstrate transmural electrical activity in the heart during and after the shock.
The Journal of PhysiologyThe Electrophysiological Properties of Spontaneously Beating Pacemaker Cells Isolated from Mouse Sinoatrial Node
104 Citations2003Hyun‐Sung Cho, Makoto Takano +1 more
Proceedings of the Royal Society B Biological SciencesGeneration and propagation of ectopic beats induced by spatially localized Na–K pump inhibition in atrial network models
73 Citations1993Raimond L. Winslow, Anthony Varghese +3 more
A biophysically detailed two-dimensional network model of the cardiac atrium has been implemented on the Thinking Machines massively parallel CM-5 supercomputer to study the effects of spatially localized inhibition of the Na–K pump.
The Journal of General PhysiologyExtracellular calcium transients and action potential configuration changes related to post-stimulatory potentiation in rabbit atrium.
73 Citations1986Donald W. Hilgemann
It is demonstrated that negative contractile staircases at post-rest stimulation correspond closely to an accumulation of extracellular calcium at activation and a negative staircase of the late action potential; the correlation of these three events suggests that electrogenic sodium-calcium exchange is the common underlying mechanism.
Chaos Solitons & FractalsMathematical modelling of the heart: cell to organ
47 Citations2002Nicolas P. Smith, P.J. Mulquiney +4 more
The methods, techniques and considerations for coupling each element together to create an integrated cardiac model are discussed and results for both individual tissue and whole organ simulations are presented.
The Journal of PhysiologyEffects of rapid changes of external Na+ concentration at different moments during the action potential in guinea‐pig myocytes.
38 Citations1994J V Le Guennec, Denis Noble
The role of the sodium‐calcium exchange current in determining the duration of the mammalian ventricular action potential is confirmed and it is also possible that the sodium background current plays a significant role inetermining the shape of the action potential.
Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering SciencesComputational models of the failing myocyte: relating altered gene expression to cellular function
35 Citations2001Raimond L. Winslow, Joseph L. Greenstein +2 more
The hypothesis that intracellular Ca2+ cycling has important influences on AP duration changes in HF is supported by a measured close correlation between AP duration and Ca2- transient amplitude when myocytes are stimulated from rest.
Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering SciencesInfluence of transmural repolarization gradients on the electrophysiology and pharmacology of ventricular myocardium. Cellular basis for the Brugada and long–QT syndromes
35 Citations2001Charles Antzelevitch, Vladislav V. Nesterenko +4 more
Three–dimensional computer models of ventricular conduction that combine physiological membrane kinetics with realistic descriptions of myocardial structure and geometry will become more feasible and should illuminate the complex mechanisms underlying the initiation and maintenance of Torsade de Pointes and other arrhythmias.
Proceedings of the National Academy of SciencesUnraveling the genetics and mechanisms of cardiac arrhythmia
25 Citations2002Denis Noble
The authors are able to show that the effect of the deletion is to reduce the ionic current carried by sodium channels, so that the propagation among cardiac cells is slowed, which generates arrhythmia.
PubMedModels for profiling the potential QT prolongation risk of drugs.
25 Citations2002A.L. Muzikant, Robert C. Penland
An evaluation of recent reports implementing preclinical approaches to evaluate potential QT issues, with an emphasis on the linkage between drug-induced cardiac action potential changes and QT prolongation both in vitro and in silico.
Chaos An Interdisciplinary Journal of Nonlinear ScienceCharacterization of patterned irregularity in locally interacting, spatially extended systems: Ventricular fibrillation
7 Citations2001V. N. Biktashev, Arun V. Holden
