Edit Profile (opens in new tab) Keener, James P. Co-Author Distance Author ID: keener.james-p Published as: Keener, James P.; Keener, J. P.; Keener, James more...less Documents Indexed: 134 Publications since 1972, including 6 Books and 1 Additional arXiv Preprint 1 Contribution as Editor Co-Authors: 67 Co-Authors with 86 Joint Publications 1,920 Co-Co-Authors all top 5 Co-Authors 47 single-authored 10 Fogelson, Aaron L. 8 Tyson, John J. 6 Panfilov, Alexander V. 5 FitzGerald, Cody E. 3 Dockery, Jack D. 3 Dumett, Miguel A. 3 Hoppensteadt, Frank C. 3 Keller, Herbert Bishop 3 Lawley, Sean D. 3 Miles, Christopher E. 3 Rinzel, John 3 Shtylla, Blerta 3 Sneyd, James 2 Bannish, Brittany E. 2 Beck, Karen 2 Chugunova, Marina A. 2 Cohen, Donald Sussman 2 Cytrynbaum, Eric N. 2 Doyle, Matthew G. 2 Earnshaw, Berton A. 2 Glass, Leon 2 Guy, Robert D. 2 Ricciardi, Paolo 1 Bogar, K. 1 Camacho, Victor 1 Chaplain, Mark A. J. 1 Childs, P. L. 1 Childs, Parker 1 Copene, Elizabeth D. 1 Courtemanche, Marc 1 Dixon, Megan G. 1 Du, Jian 1 Enright, Wayne H. 1 Ermentrout, George Bard 1 Fogelson, Ben 1 Friedman, Avner 1 Hu, Bei 1 Hunter, Geoffrey A. M. 1 Krogh, Fred T. 1 Kuwahara, Hiroyuki 1 Lee, Youngseon 1 Lewis, Mark Alun 1 Lewis, Owen L. 1 Lewis, Timothy J. 1 Ma, Jie 1 Magi, R. E. 1 Maini, Philip Kumar 1 McLaughlin, David W. 1 Myers, Chris J. 1 Nelson, Anna C. 1 Newby, Jay M. 1 Nguyen, Nam-phuong 1 Overman, Edward A. II 1 Peercy, Bradford E. 1 Peskin, Charles S. 1 Roche, S. Lucy 1 Sircar, Sarthok 1 Tania, Nessy 1 Taranets, Roman M. 1 Troy, William C. 1 Utsey, Kiersten 1 Weisel, John W. 1 Winstead, Chris 1 Woodbury, Michael 1 Wright, Grady B. 1 Yi, Chung-Seon 1 Zapata-Allegro, Cheryl all top 5 Serials 28 SIAM Journal on Applied Mathematics 13 Journal of Mathematical Biology 13 Journal of Theoretical Biology 12 Physica D 8 Bulletin of Mathematical Biology 6 Mathematical Medicine and Biology 4 SIAM Journal on Applied Dynamical Systems 3 Studies in Applied Mathematics 3 Chaos 3 Interdisciplinary Applied Mathematics 2 Archive for Rational Mechanics and Analysis 2 Quarterly of Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 SIAM Review 2 SIAM Journal on Scientific Computing 2 Journal of Physics A: Mathematical and Theoretical 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Mathematical Biosciences 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Journal of Differential Equations 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Numerical Methods for Partial Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Discrete and Continuous Dynamical Systems. Series B 1 Multiscale Modeling & Simulation 1 IAS/Park City Mathematics Series 1 Communications in Computational Physics 1 Science 1 Pure and Applied Undergraduate Texts all top 5 Fields 89 Biology and other natural sciences (92-XX) 44 Partial differential equations (35-XX) 21 Ordinary differential equations (34-XX) 15 Fluid mechanics (76-XX) 13 Probability theory and stochastic processes (60-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Numerical analysis (65-XX) 5 Mechanics of deformable solids (74-XX) 3 Integral equations (45-XX) 3 Operator theory (47-XX) 2 General and overarching topics; collections (00-XX) 2 Difference and functional equations (39-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 110 Publications have been cited 2,780 times in 2,216 Documents Cited by ▼ Year ▼ Mathematical physiology. Zbl 0913.92009 Keener, James; Sneyd, James 496 1998 Propagation and its failure in coupled systems of discrete excitable cells. Zbl 0649.34019 Keener, James P. 290 1987 Mathematical physiology. I: Cellular physiology. 2nd ed. Zbl 1273.92017 Keener, James; Sneyd, James 166 2009 Singular perturbation theory of traveling waves in excitable media (A review). Zbl 0656.76018 Tyson, John J.; Keener, James P. 149 1988 Mathematical physiology. II: Systems physiology. 2nd ed. Zbl 1273.92018 Keener, James; Sneyd, James 93 2009 Spiral waves in the Belousov-Zhabotinskii reaction. Zbl 0611.35041 Keener, James P.; Tyson, John J. 83 1986 A geometrical theory for spiral waves in excitable media. Zbl 0655.35046 Keener, James P. 79 1986 Chaotic behavior in piecewise continuous difference equations. Zbl 0458.58016 Keener, James P. 72 1980 Uniqueness of flow of a second-order fluid past a stretching sheet. Zbl 0613.76006 Troy, William C.; Overman, Edward A. II; Ermentrout, G. B.; Keener, James P. 51 1987 Positive solutions of convex nonlinear eigenvalue problems. Zbl 0287.35074 Keener, J. P.; Keller, H. B. 47 1974 Activators and inhibitors in pattern formation. Zbl 0407.92023 Keener, James P. 46 1978 A mathematical model for quorum sensing in Pseudomonas aeruginosa. Zbl 1323.92123 Dockery, Jack D.; Keener, James P. 45 2001 The dynamics of three-dimensional scroll waves in excitable media. Zbl 0645.76052 Keener, James P. 45 1988 Immersed interface methods for Neumann and related problems in two and three dimensions. Zbl 0982.65112 Fogelson, Aaron L.; Keener, James P. 44 2000 Perturbed bifurcation theory. Zbl 0254.47080 Keener, James P.; Keller, Herbert B. 42 1973 Waves in excitable media. Zbl 0457.35082 Keener, J. P. 41 1980 Principles of applied mathematics: transformation and approximation. Zbl 0649.00002 Keener, James P. 37 1988 The role of the biofilm matrix in structural development. Zbl 1055.92034 Cogan, N. G.; Keener, James P. 37 2004 Wave-block in excitable media due to regions of depressed excitability. Zbl 0967.35067 Lewis, Timothy J.; Keener, James P. 35 2000 A numerical method for the solution of the bidomain equations in cardiac tissue. Zbl 1069.92507 Keener, J. P.; Bogar, K. 33 1998 Integrate-and-fire models of nerve membrane response to oscillatory input. Zbl 0476.92010 Keener, J. P.; Hoppensteadt, F. C.; Rinzel, J. 32 1981 The Perron-Frobenius theorem and the ranking of football teams. Zbl 0788.62064 Keener, James P. 32 1993 The dynamics of scroll waves in excitable media. Zbl 0773.35030 Keener, James P.; Tyson, John J. 31 1992 Integrate-and-fire models of nerve membrane response to oscillatory input. Zbl 0491.92009 Keener, J. P.; Hoppensteadt, F. C.; Rinzel, J. 29 1981 An eikonal-curvature equation for action potential propagation in myocardium. Zbl 0744.92015 Keener, James P. 28 1991 An immersed interface method for solving anisotropic elliptic boundary value problems in three dimensions. Zbl 1071.65137 Dumett, Miguel A.; Keener, James P. 28 2003 A Green’s function for a linear equation associated with solitons. Zbl 0366.35029 Keener, J. P.; McLaughlin, D. W. 28 1977 Secondary bifurcation in nonlinear diffusion reaction equations. Zbl 0336.35057 Keener, J. P. 27 1976 A delay equation representation of pulse circulation on a ring in excitable media. Zbl 0859.35052 Courtemanche, Marc; Keener, James P.; Glass, Leon 24 1996 Phase locking of biological clocks. Zbl 0489.92006 Hoppensteadt, F. C.; Keener, J. P. 23 1982 Propagation of waves in an excitable medium with discrete release sites. Zbl 0990.92010 Keener, J. P. 21 2000 The motion of untwisted untorted scroll waves in Belousov-Zhabotinsky reagent. Zbl 1226.35076 Keener, James P.; Tyson, John J. 21 1988 Stability conditions for the traveling pulse: Modifying the restitution hypothesis. Zbl 1080.92501 Cytrynbaum, Eric; Keener, James P. 20 2002 Infinite period bifurcation and global bifurcation branches. Zbl 0523.34046 Keener, James P. 20 1981 Dispersion of traveling waves in the Belousov-Zhabotinskij reaction. Zbl 0694.35093 Dockery, J. D.; Keener, J. P.; Tyson, J. J. 20 1988 Oscillatory coexistence in the chemostat: A codimension two unfolding. Zbl 0525.92017 Keener, James P. 19 1983 Homogenization and propagation in the bistable equation. Zbl 0939.34049 Keener, J. P. 18 2000 Fibrin gel formation in a shear flow. Zbl 1115.92017 Guy, Robert D.; Fogelson, Aaron L.; Keener, James P. 18 2007 A new derivation of Robin boundary conditions through homogenization of a stochastically switching boundary. Zbl 1327.35463 Lawley, Sean D.; Keener, James P. 17 2015 Spiral waves in a model of myocardium. Zbl 0629.76140 Tyson, John J.; Keener, James P. 17 1987 Global bifurcations of a periodically forced nonlinear oscillator. Zbl 0573.92005 Keener, James P.; Glass, Leon 17 1984 The core of the spiral. Zbl 0794.35079 Keener, James P. 16 1992 On cardiac arrythmias: AV conduction block. Zbl 0488.92010 Keener, James P. 16 1981 Principles of applied mathematics: transformation and approximation. 2nd revised ed. Zbl 1052.00002 Keener, James P. 15 2000 Channel formation in gels. Zbl 1114.74011 Cogan, N. G.; Keener, James P. 14 2005 Kinetics of swelling gels. Zbl 1452.76261 Keener, James P.; Sircar, Sarthok; Fogelson, Aaron L. 14 2011 An asymptotic analysis of the spatially inhomogeneous velocity-jump process. Zbl 1236.60079 Newby, Jay M.; Keener, James P. 14 2011 Diffusive effects on dispersion in exitable media. Zbl 0703.35091 Dockery, J. D.; Keener, J. P. 14 1989 Knotted vortex filaments in an ideal fluid. Zbl 0686.76014 Keener, J. P. 13 1990 The effect of epidemics on genetic evolution. Zbl 0529.92013 Beck, K.; Keener, J. P.; Ricciardi, P. 12 1984 An immersed interface method for anisotropic elliptic problems on irregular domains in 2D. Zbl 1073.65114 Dumett, Miguel A.; Keener, James P. 11 2005 Hopf bifurcation to repetitive activity in nerve. Zbl 0534.92015 Rinzel, John; Keener, James P. 10 1983 On the formation of circulating patterns of excitation in anisotropic excitable media. Zbl 0631.92004 Keener, James P. 10 1988 Perturbed bifurcation theory at multiple eigenvalues. Zbl 0299.35071 Keener, James P. 10 1974 Re-entry in an anatomical model of the heart. Zbl 0925.92046 Panfilov, A.; Keener, J. P. 9 1995 The effects of geometry and fibre orientation on propagation and extracellular potentials in myocardium. Zbl 0953.92009 Keener, J. P.; Panfilov, A. V. 9 1997 Buckling imperfection sensitivity of columns and spherical caps. Zbl 0284.73029 Keener, J. P. 8 1974 Knotted scroll wave filaments in excitable media. Zbl 0699.35145 Keener, James P. 8 1989 Analysis of nonprocessive molecular motor transport using renewal reward theory. Zbl 1397.92038 Miles, Christopher E.; Lawley, Sean D.; Keener, James P. 7 2018 The effect of gap junctional distribution on defibrillation. Zbl 1069.92508 Keener, James P. 7 1998 Global asymptotic stability of solutions of nonautonomous master equations. Zbl 1213.34069 Earnshaw, Berton A.; Keener, James P. 7 2010 Invariant manifold reductions for Markovian ion channel dynamics. Zbl 1153.92009 Keener, James P. 7 2009 Helical and circular scroll wave filaments. Zbl 0717.92005 Keener, James P.; Tyson, John J. 7 1990 Chaotic behavior in slowly varying systems of nonlinear differential equations. Zbl 0513.34011 Keener, James P. 6 1982 Slow manifold reduction of a stochastic chemical reaction: exploring Keizer’s paradox. Zbl 1271.92044 Childs, Parker; Keener, James P. 6 2012 Re-entry in three-dimensional Fitzhugh-Nagumo medium with rotational anisotropy. Zbl 1194.35474 Panfilov, Alexander V.; Keener, James P. 6 1995 Arrhythmias by dimension. Zbl 1025.92009 Keener, James P. 5 2002 Oscillatory processes in the theory of particulate formation in supersaturated chemical solutions. Zbl 0296.45018 Cohen, Donald S.; Keener, James P. 5 1975 Secondary bifurcation and multiple eigenvalues. Zbl 0418.47044 Keener, James P. 5 1979 A mathematical model for the vulnerable phase in myocardium. Zbl 0651.92003 Keener, James P. 5 1988 Bidirectionality from cargo thermal fluctuations in motor-mediated transport. Zbl 1381.92007 Miles, Christopher E.; Keener, James P. 4 2017 Re-entry in three-dimensional Fitzhugh-Nagumo medium with rotational anisotropy. Zbl 0884.92010 Panfilov, Alexander V.; Keener, James P. 4 1995 The topology of defibrillation. Zbl 1447.92197 Keener, James P. 4 2004 Diffusion induced oscillatory insulin secretion. Zbl 1323.92010 Keener, James P. 4 2001 Diffusion induced chaos. Zbl 0536.58020 Keener, James P. 4 1983 Invariant manifolds of binomial-like nonautonomous master equations. Zbl 1203.34069 Earnshaw, Berton A.; Keener, James P. 4 2010 Ephaptic coupling of cardiac cells through the junctional electric potential. Zbl 1141.92010 Copene, Elizabeth D.; Keener, James P. 4 2008 Frequency dependent decoupling of parallel excitable fibers. Zbl 0691.35015 Keener, James P. 4 1989 Jump locations of jump-diffusion processes with state-dependent rates. Zbl 1386.82046 Miles, Christopher E.; Keener, James P. 3 2017 Dynamics of dissipative structures in reaction-diffusion equations. Zbl 0814.35052 Panfilov, Alexander V.; Keener, James P. 3 1995 Electrodiffusive flux through a stochastically gated ion channel. Zbl 1411.92047 Lawley, Sean D.; Keener, James P. 3 2019 Chaotic cardiac dynamics. Zbl 0491.92008 Keener, James P. 3 1981 Oscillatory coexistence in a food chain model with competing predators. Zbl 0566.92021 Keener, James P. 3 1985 The dynamics of helical scroll waves in excitable media. Zbl 0780.76086 Keener, James P.; Tyson, John J. 2 1991 Biology in time and space. A partial differential equation modeling approach. Zbl 1470.92003 Keener, James P. 2 2021 A mathematical study of volume shifts and ionic concentration changes during ischemia and hypoxia. Zbl 1464.92075 Yi, Chung-Seon; Fogelson, Aaron L.; Keener, James P.; Peskin, Charles S. 2 2003 The effect of spatial scale of resistive inhomogeneity on defibrillation of cardiac tissue. Zbl 1464.92128 Keener, James P.; Cytrynbaum, Eric 2 2003 Coupled cell model of border zone arrhythmias. Zbl 1087.92044 Peercy, Bradford E.; Keener, James P. 2 2005 A mechanomolecular model for the movement of chromosomes during mitosis driven by a minimal kinetochore bicyclic cascade. Zbl 1406.92038 Shtylla, Blerta; Keener, James P. 2 2010 Influence of infectious disease on the growth of a population with three genotypes. Zbl 0529.92015 Beck, K.; Keener, J. P.; Ricciardi, P. 2 1983 Perturbed bifurcation and buckling of circular plates. Zbl 0254.73044 Keener, J. P.; Keller, H. B. 2 1972 On the validity of the two-timing method for large times. Zbl 0386.34030 Keener, James P. 2 1977 A model for length control of flagellar hooks of Salmonella typhimurium. Zbl 1445.92039 Keener, J. P. 1 2005 A calcium-induced calcium release mechanism mediated by calsequestrin. Zbl 1398.92075 Lee, Young-Seon; Keener, James P. 1 2008 A systematic search for switch-like behavior in type II toxin-antitoxin systems. Zbl 1466.92061 FitzGerald, Cody E.; Keener, James P. 1 2021 Correction to: “Red light and the dormancy-germination decision in Arabidopsis seeds”. Zbl 1466.92120 FitzGerald, Cody; Keener, James 1 2021 Red light and the dormancy-germination decision in Arabidopsis seeds. Zbl 1460.92130 FitzGerald, Cody; Keener, James 1 2021 The PafBC-mediated response sensitizes a bistable DNA damage response in Mycobacteria. Zbl 1457.92113 FitzGerald, Cody E.; Keener, James P. 1 2021 Design and analysis of a robust genetic Muller C-element. Zbl 1406.92401 Nguyen, Nam-phuong; Myers, Chris; Kuwahara, Hiroyuki; Winstead, Chris; Keener, James 1 2010 A framework for exploring the post-gelation behavior of Ziff and Stell’s polymerization models. Zbl 1342.80012 Fogelson, Aaron L.; Keener, James P. 1 2015 Development of fibrin branch structure before and after gelation. Zbl 1481.92037 Fogelson, Aaron L.; Nelson, Anna C.; Zapata-Allegro, Cheryl; Keener, James P. 1 2022 Biology in time and space. A partial differential equation modeling approach. Zbl 1470.92003 Keener, James P. 2 2021 A systematic search for switch-like behavior in type II toxin-antitoxin systems. Zbl 1466.92061 FitzGerald, Cody E.; Keener, James P. 1 2021 Correction to: “Red light and the dormancy-germination decision in Arabidopsis seeds”. Zbl 1466.92120 FitzGerald, Cody; Keener, James 1 2021 Red light and the dormancy-germination decision in Arabidopsis seeds. Zbl 1460.92130 FitzGerald, Cody; Keener, James 1 2021 The PafBC-mediated response sensitizes a bistable DNA damage response in Mycobacteria. Zbl 1457.92113 FitzGerald, Cody E.; Keener, James P. 1 2021 Electrodiffusive flux through a stochastically gated ion channel. Zbl 1411.92047 Lawley, Sean D.; Keener, James P. 3 2019 Analysis of nonprocessive molecular motor transport using renewal reward theory. Zbl 1397.92038 Miles, Christopher E.; Lawley, Sean D.; Keener, James P. 7 2018 Bidirectionality from cargo thermal fluctuations in motor-mediated transport. Zbl 1381.92007 Miles, Christopher E.; Keener, James P. 4 2017 Jump locations of jump-diffusion processes with state-dependent rates. Zbl 1386.82046 Miles, Christopher E.; Keener, James P. 3 2017 Modelling a biological membrane as a two phase viscous fluid with curvature elasticity. Zbl 1354.74154 Magi, R. E.; Keener, J. P. 1 2017 Eulerian-Lagrangian treatment of nondilute two-phase gels. Zbl 1337.35116 Camacho, Victor; Fogelson, Aaron; Keener, James 1 2016 A new derivation of Robin boundary conditions through homogenization of a stochastically switching boundary. Zbl 1327.35463 Lawley, Sean D.; Keener, James P. 17 2015 A framework for exploring the post-gelation behavior of Ziff and Stell’s polymerization models. Zbl 1342.80012 Fogelson, Aaron L.; Keener, James P. 1 2015 The diffusion approximation for linear nonautonomous reaction-hyperbolic equations. Zbl 1276.35014 Friedman, Avner; Hu, Bei; Keener, James P. 1 2013 Slow manifold reduction of a stochastic chemical reaction: exploring Keizer’s paradox. Zbl 1271.92044 Childs, Parker; Keener, James P. 6 2012 A mathematical model of ParA filament-mediated chromosome movement in Caulobacter crescentus. Zbl 1337.92069 Shtylla, Blerta; Keener, James P. 1 2012 Kinetics of swelling gels. Zbl 1452.76261 Keener, James P.; Sircar, Sarthok; Fogelson, Aaron L. 14 2011 An asymptotic analysis of the spatially inhomogeneous velocity-jump process. Zbl 1236.60079 Newby, Jay M.; Keener, James P. 14 2011 A mathematical model for force generation at the kinetochore-microtubule interface. Zbl 1230.92009 Shtylla, Blerta; Keener, James P. 1 2011 Global asymptotic stability of solutions of nonautonomous master equations. Zbl 1213.34069 Earnshaw, Berton A.; Keener, James P. 7 2010 Invariant manifolds of binomial-like nonautonomous master equations. Zbl 1203.34069 Earnshaw, Berton A.; Keener, James P. 4 2010 A mechanomolecular model for the movement of chromosomes during mitosis driven by a minimal kinetochore bicyclic cascade. Zbl 1406.92038 Shtylla, Blerta; Keener, James P. 2 2010 Design and analysis of a robust genetic Muller C-element. Zbl 1406.92401 Nguyen, Nam-phuong; Myers, Chris; Kuwahara, Hiroyuki; Winstead, Chris; Keener, James 1 2010 Exact reductions of Markovian dynamics for ion channels with a single permissive state. Zbl 1311.92091 Keener, James P. 1 2010 Mathematical physiology. I: Cellular physiology. 2nd ed. Zbl 1273.92017 Keener, James; Sneyd, James 166 2009 Mathematical physiology. II: Systems physiology. 2nd ed. Zbl 1273.92018 Keener, James; Sneyd, James 93 2009 Invariant manifold reductions for Markovian ion channel dynamics. Zbl 1153.92009 Keener, James P. 7 2009 Ephaptic coupling of cardiac cells through the junctional electric potential. Zbl 1141.92010 Copene, Elizabeth D.; Keener, James P. 4 2008 A calcium-induced calcium release mechanism mediated by calsequestrin. Zbl 1398.92075 Lee, Young-Seon; Keener, James P. 1 2008 Fibrin gel formation in a shear flow. Zbl 1115.92017 Guy, Robert D.; Fogelson, Aaron L.; Keener, James P. 18 2007 How Salmonella Typhimurium measures the length of flagellar filaments. Zbl 1334.92031 Keener, J. P. 1 2006 Stochastic calcium oscillations. Zbl 1110.92008 Keener, James P. 1 2006 Channel formation in gels. Zbl 1114.74011 Cogan, N. G.; Keener, James P. 14 2005 An immersed interface method for anisotropic elliptic problems on irregular domains in 2D. Zbl 1073.65114 Dumett, Miguel A.; Keener, James P. 11 2005 Coupled cell model of border zone arrhythmias. Zbl 1087.92044 Peercy, Bradford E.; Keener, James P. 2 2005 A model for length control of flagellar hooks of Salmonella typhimurium. Zbl 1445.92039 Keener, J. P. 1 2005 The role of the biofilm matrix in structural development. Zbl 1055.92034 Cogan, N. G.; Keener, James P. 37 2004 The topology of defibrillation. Zbl 1447.92197 Keener, James P. 4 2004 An immersed interface method for solving anisotropic elliptic boundary value problems in three dimensions. Zbl 1071.65137 Dumett, Miguel A.; Keener, James P. 28 2003 A mathematical study of volume shifts and ionic concentration changes during ischemia and hypoxia. Zbl 1464.92075 Yi, Chung-Seon; Fogelson, Aaron L.; Keener, James P.; Peskin, Charles S. 2 2003 The effect of spatial scale of resistive inhomogeneity on defibrillation of cardiac tissue. Zbl 1464.92128 Keener, James P.; Cytrynbaum, Eric 2 2003 Stability conditions for the traveling pulse: Modifying the restitution hypothesis. Zbl 1080.92501 Cytrynbaum, Eric; Keener, James P. 20 2002 Arrhythmias by dimension. Zbl 1025.92009 Keener, James P. 5 2002 A mathematical model for quorum sensing in Pseudomonas aeruginosa. Zbl 1323.92123 Dockery, Jack D.; Keener, James P. 45 2001 Diffusion induced oscillatory insulin secretion. Zbl 1323.92010 Keener, James P. 4 2001 Immersed interface methods for Neumann and related problems in two and three dimensions. Zbl 0982.65112 Fogelson, Aaron L.; Keener, James P. 44 2000 Wave-block in excitable media due to regions of depressed excitability. Zbl 0967.35067 Lewis, Timothy J.; Keener, James P. 35 2000 Propagation of waves in an excitable medium with discrete release sites. Zbl 0990.92010 Keener, J. P. 21 2000 Homogenization and propagation in the bistable equation. Zbl 0939.34049 Keener, J. P. 18 2000 Principles of applied mathematics: transformation and approximation. 2nd revised ed. Zbl 1052.00002 Keener, James P. 15 2000 Mathematical physiology. Zbl 0913.92009 Keener, James; Sneyd, James 496 1998 A numerical method for the solution of the bidomain equations in cardiac tissue. Zbl 1069.92507 Keener, J. P.; Bogar, K. 33 1998 The effect of gap junctional distribution on defibrillation. Zbl 1069.92508 Keener, James P. 7 1998 The effects of geometry and fibre orientation on propagation and extracellular potentials in myocardium. Zbl 0953.92009 Keener, J. P.; Panfilov, A. V. 9 1997 A delay equation representation of pulse circulation on a ring in excitable media. Zbl 0859.35052 Courtemanche, Marc; Keener, James P.; Glass, Leon 24 1996 Re-entry in an anatomical model of the heart. Zbl 0925.92046 Panfilov, A.; Keener, J. P. 9 1995 Re-entry in three-dimensional Fitzhugh-Nagumo medium with rotational anisotropy. Zbl 1194.35474 Panfilov, Alexander V.; Keener, James P. 6 1995 Re-entry in three-dimensional Fitzhugh-Nagumo medium with rotational anisotropy. Zbl 0884.92010 Panfilov, Alexander V.; Keener, James P. 4 1995 Dynamics of dissipative structures in reaction-diffusion equations. Zbl 0814.35052 Panfilov, Alexander V.; Keener, James P. 3 1995 Symmetric spirals in media with relaxation kinetics and two diffusing species. Zbl 0810.35165 Keener, James P. 1 1994 The Perron-Frobenius theorem and the ranking of football teams. Zbl 0788.62064 Keener, James P. 32 1993 The dynamics of scroll waves in excitable media. Zbl 0773.35030 Keener, James P.; Tyson, John J. 31 1992 The core of the spiral. Zbl 0794.35079 Keener, James P. 16 1992 An eikonal-curvature equation for action potential propagation in myocardium. Zbl 0744.92015 Keener, James P. 28 1991 The dynamics of helical scroll waves in excitable media. Zbl 0780.76086 Keener, James P.; Tyson, John J. 2 1991 Knotted vortex filaments in an ideal fluid. Zbl 0686.76014 Keener, J. P. 13 1990 Helical and circular scroll wave filaments. Zbl 0717.92005 Keener, James P.; Tyson, John J. 7 1990 Diffusive effects on dispersion in exitable media. Zbl 0703.35091 Dockery, J. D.; Keener, J. P. 14 1989 Knotted scroll wave filaments in excitable media. Zbl 0699.35145 Keener, James P. 8 1989 Frequency dependent decoupling of parallel excitable fibers. Zbl 0691.35015 Keener, James P. 4 1989 Singular perturbation theory of traveling waves in excitable media (A review). Zbl 0656.76018 Tyson, John J.; Keener, James P. 149 1988 The dynamics of three-dimensional scroll waves in excitable media. Zbl 0645.76052 Keener, James P. 45 1988 Principles of applied mathematics: transformation and approximation. Zbl 0649.00002 Keener, James P. 37 1988 The motion of untwisted untorted scroll waves in Belousov-Zhabotinsky reagent. Zbl 1226.35076 Keener, James P.; Tyson, John J. 21 1988 Dispersion of traveling waves in the Belousov-Zhabotinskij reaction. Zbl 0694.35093 Dockery, J. D.; Keener, J. P.; Tyson, J. J. 20 1988 On the formation of circulating patterns of excitation in anisotropic excitable media. Zbl 0631.92004 Keener, James P. 10 1988 A mathematical model for the vulnerable phase in myocardium. Zbl 0651.92003 Keener, James P. 5 1988 Propagation and its failure in coupled systems of discrete excitable cells. Zbl 0649.34019 Keener, James P. 290 1987 Uniqueness of flow of a second-order fluid past a stretching sheet. Zbl 0613.76006 Troy, William C.; Overman, Edward A. II; Ermentrout, G. B.; Keener, James P. 51 1987 Spiral waves in a model of myocardium. Zbl 0629.76140 Tyson, John J.; Keener, James P. 17 1987 Spiral waves in the Belousov-Zhabotinskii reaction. Zbl 0611.35041 Keener, James P.; Tyson, John J. 83 1986 A geometrical theory for spiral waves in excitable media. Zbl 0655.35046 Keener, James P. 79 1986 Oscillatory coexistence in a food chain model with competing predators. Zbl 0566.92021 Keener, James P. 3 1985 Global bifurcations of a periodically forced nonlinear oscillator. Zbl 0573.92005 Keener, James P.; Glass, Leon 17 1984 The effect of epidemics on genetic evolution. Zbl 0529.92013 Beck, K.; Keener, J. P.; Ricciardi, P. 12 1984 Oscillatory coexistence in the chemostat: A codimension two unfolding. Zbl 0525.92017 Keener, James P. 19 1983 Hopf bifurcation to repetitive activity in nerve. Zbl 0534.92015 Rinzel, John; Keener, James P. 10 1983 Diffusion induced chaos. Zbl 0536.58020 Keener, James P. 4 1983 Influence of infectious disease on the growth of a population with three genotypes. Zbl 0529.92015 Beck, K.; Keener, J. P.; Ricciardi, P. 2 1983 Phase locking of biological clocks. Zbl 0489.92006 Hoppensteadt, F. C.; Keener, J. P. 23 1982 Chaotic behavior in slowly varying systems of nonlinear differential equations. Zbl 0513.34011 Keener, James P. 6 1982 Integrate-and-fire models of nerve membrane response to oscillatory input. Zbl 0476.92010 Keener, J. P.; Hoppensteadt, F. C.; Rinzel, J. 32 1981 Integrate-and-fire models of nerve membrane response to oscillatory input. Zbl 0491.92009 Keener, J. P.; Hoppensteadt, F. C.; Rinzel, J. 29 1981 Infinite period bifurcation and global bifurcation branches. Zbl 0523.34046 Keener, James P. 20 1981 On cardiac arrythmias: AV conduction block. Zbl 0488.92010 Keener, James P. 16 1981 Chaotic cardiac dynamics. Zbl 0491.92008 Keener, James P. 3 1981 Chaotic behavior in piecewise continuous difference equations. Zbl 0458.58016 Keener, James P. 72 1980 Waves in excitable media. Zbl 0457.35082 Keener, J. P. 41 1980 Secondary bifurcation and multiple eigenvalues. Zbl 0418.47044 Keener, James P. 5 1979 ...and 10 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,506 Authors 47 Keener, James P. 23 Sneyd, James 22 Hupkes, Hermen Jan 18 Bressloff, Paul C. 16 Tyson, John J. 16 Zhao, Caidi 15 King, John Robert 15 Tveito, Aslak 14 Moehlis, Jeff 13 Biktashev, Vadim N. 13 Glass, Leon 13 Hsu, Cheng-Hsiung 13 Lawley, Sean D. 13 Vajravelu, Kuppalapalle 13 Wang, Bixiang 12 Holden, Arun V. 12 Stehlík, Petr 11 Bendahmane, Mostafa 11 Gardini, Laura 11 Kevrekidis, Ioannis George 11 Panfilov, Alexander V. 11 Tsai, Je-Chiang 10 Guo, Jong-Shenq 9 Abdallah, Ahmed Y. 9 Avrutin, Viktor 9 Colli Franzone, Piero 9 Ermentrout, George Bard 9 Kirk, Vivien 9 Mori, Yoichiro 9 Pertsov, Arkady M. 9 Shen, Wenxian 9 Sushko, Iryna 9 Tramontana, Fabio 9 van Gorder, Robert Ashton 9 Van Vleck, Erik S. 9 Walcher, Sebastian 9 Wei, Guowei 9 Whiteley, Jonathan P. 9 Zhou, Shengfan 8 Ariel, P. Donald 8 Bär, Markus 8 De Angelis, Monica 8 Jha, Brajesh Kumar 8 Li, Chunqiu 8 Lines, Glenn Terje 8 Maini, Philip Kumar 8 Ninomiya, Hirokazu 8 Selgrade, James F. 8 Simpson, David John Warwick 8 Wei, Juncheng 7 Anishchenko, Vadim Semenovich 7 Caraballo Garrido, Tomás 7 Ermentrout, Bard G. 7 Fogelson, Aaron L. 7 Gomatam, Jagannathan 7 Jalife, José 7 Kalita, Piotr 7 Krause, Andrew L. 7 Quarteroni, Alfio M. 7 Shepelev, Igor’ Aleksandrovich 7 Volek, Jonáš 7 Yi, Yingfei 7 Zhusubaliev, Zhanybaĭ Tursunbaevich 6 Bilbault, Jean-Marie 6 Bobrowski, Adam 6 Bourgault, Yves 6 Chen, Zhang 6 Cytrynbaum, Eric N. 6 Fenton, Flavio H. 6 Gizzi, Alessio 6 Göktepe, Serdar 6 Ham, YoonMee 6 Han, Xiaoying 6 Kaper, Tasso J. 6 Kaźmierczak, Bogdan 6 Kuhl, Ellen 6 Kunisch, Karl 6 LeBlanc, Victor G. 6 Morfu, S. 6 Nishiura, Yasumasa 6 Sacco, Riccardo 6 Sontag, Eduardo D. 6 Strelkova, Galina Ivanova 6 Wang, Qi 6 Winfree, Arthur Taylor 6 Winter, Matthias 6 Yang, Suh-Yuh 6 Zykov, Vladimir S. 5 Abel, M. Subhas 5 Alford, John G. 5 Calvetti, Daniela 5 Chen, Yanyu 5 Choi, Yung-Sze 5 Enciso, Germán Andrés 5 Fowler, Andrew C. 5 Gavaghan, David J. 5 Goriely, Alain 5 Grebenkov, Denis S. 5 Griffith, Boyce E. 5 Guerri, Luciano ...and 3,406 more Authors all top 5 Cited in 338 Serials 215 Physica D 110 Journal of Mathematical Biology 102 Chaos 92 Journal of Theoretical Biology 89 Bulletin of Mathematical Biology 74 Mathematical Biosciences 61 Journal of Differential Equations 56 Journal of Mathematical Analysis and Applications 56 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 50 Journal of Computational Physics 50 Chaos, Solitons and Fractals 43 Applied Mathematics and Computation 36 SIAM Journal on Applied Dynamical Systems 34 Discrete and Continuous Dynamical Systems. Series B 33 Communications in Nonlinear Science and Numerical Simulation 26 Computer Methods in Applied Mechanics and Engineering 26 Physics Letters. 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