Edit Profile (opens in new tab) Keener, James P. Compute Distance To: Compute Author ID: keener.james-p Published as: Keener, James P.; Keener, J. P.; Keener, James Documents Indexed: 132 Publications since 1972, including 6 Books 1 Contribution as Editor Co-Authors: 65 Co-Authors with 84 Joint Publications 1,640 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 Cohen, Donald Sussman 2 Cytrynbaum, Eric N. 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 Chugunova, Marina A. 1 Copene, Elizabeth D. 1 Courtemanche, Marc 1 Doyle, Matthew 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 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 7 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 88 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 102 Publications have been cited 2,246 times in 1,785 Documents Cited by ▼ Year ▼ Mathematical physiology. Zbl 0913.92009Keener, James; Sneyd, James 397 1998 Propagation and its failure in coupled systems of discrete excitable cells. Zbl 0649.34019Keener, James P. 226 1987 Mathematical physiology. I: Cellular physiology. 2nd ed. Zbl 1273.92017Keener, James; Sneyd, James 132 2009 Singular perturbation theory of traveling waves in excitable media (A review). Zbl 0656.76018Tyson, John J.; Keener, James P. 110 1988 Mathematical physiology. II: Systems physiology. 2nd ed. Zbl 1273.92018Keener, James; Sneyd, James 64 2009 Spiral waves in the Belousov-Zhabotinskii reaction. Zbl 0611.35041Keener, James P.; Tyson, John J. 64 1986 A geometrical theory for spiral waves in excitable media. Zbl 0655.35046Keener, James P. 63 1986 Chaotic behavior in piecewise continuous difference equations. Zbl 0458.58016Keener, James P. 56 1980 Positive solutions of convex nonlinear eigenvalue problems. Zbl 0287.35074Keener, J. P.; Keller, H. B. 44 1974 Activators and inhibitors in pattern formation. Zbl 0407.92023Keener, James P. 43 1978 Uniqueness of flow of a second-order fluid past a stretching sheet. Zbl 0613.76006Troy, William C.; Overman, Edward A. II; Ermentrout, G. B.; Keener, James P. 43 1987 A mathematical model for quorum sensing in Pseudomonas aeruginosa. Zbl 1323.92123Dockery, Jack D.; Keener, James P. 42 2001 Perturbed bifurcation theory. Zbl 0254.47080Keener, James P.; Keller, Herbert B. 40 1973 Immersed interface methods for Neumann and related problems in two and three dimensions. Zbl 0982.65112Fogelson, Aaron L.; Keener, James P. 40 2000 The dynamics of three-dimensional scroll waves in excitable media. Zbl 0645.76052Keener, James P. 38 1988 The role of the biofilm matrix in structural development. Zbl 1055.92034Cogan, N. G.; Keener, James P. 33 2004 A numerical method for the solution of the bidomain equations in cardiac tissue. Zbl 1069.92507Keener, J. P.; Bogar, K. 33 1998 Principles of applied mathematics: transformation and approximation. Zbl 0649.00002Keener, James P. 32 1988 Waves in excitable media. Zbl 0457.35082Keener, J. P. 29 1980 An eikonal-curvature equation for action potential propagation in myocardium. Zbl 0744.92015Keener, James P. 28 1991 The Perron-Frobenius theorem and the ranking of football teams. Zbl 0788.62064Keener, James P. 27 1993 Secondary bifurcation in nonlinear diffusion reaction equations. Zbl 0336.35057Keener, J. P. 27 1976 A Green’s function for a linear equation associated with solitons. Zbl 0366.35029Keener, J. P.; McLaughlin, D. W. 26 1977 Wave-block in excitable media due to regions of depressed excitability. Zbl 0967.35067Lewis, Timothy J.; Keener, James P. 25 2000 Integrate-and-fire models of nerve membrane response to oscillatory input. Zbl 0476.92010Keener, J. P.; Hoppensteadt, F. C.; Rinzel, J. 23 1981 The dynamics of scroll waves in excitable media. Zbl 0773.35030Keener, James P.; Tyson, John J. 22 1992 Integrate-and-fire models of nerve membrane response to oscillatory input. Zbl 0491.92009Keener, J. P.; Hoppensteadt, F. C.; Rinzel, J. 22 1981 An immersed interface method for solving anisotropic elliptic boundary value problems in three dimensions. Zbl 1071.65137Dumett, Miguel A.; Keener, James P. 21 2003 A delay equation representation of pulse circulation on a ring in excitable media. Zbl 0859.35052Courtemanche, Marc; Keener, James P.; Glass, Leon 20 1996 Phase locking of biological clocks. Zbl 0489.92006Hoppensteadt, F. C.; Keener, J. P. 20 1982 Oscillatory coexistence in the chemostat: A codimension two unfolding. Zbl 0525.92017Keener, James P. 19 1983 Infinite period bifurcation and global bifurcation branches. Zbl 0523.34046Keener, James P. 18 1981 Stability conditions for the traveling pulse: Modifying the restitution hypothesis. Zbl 1080.92501Cytrynbaum, Eric; Keener, James P. 17 2002 The motion of untwisted untorted scroll waves in Belousov-Zhabotinsky reagent. Zbl 1226.35076Keener, James P.; Tyson, John J. 17 1988 Propagation of waves in an excitable medium with discrete release sites. Zbl 0990.92010Keener, J. P. 16 2000 Fibrin gel formation in a shear flow. Zbl 1115.92017Guy, Robert D.; Fogelson, Aaron L.; Keener, James P. 16 2007 Dispersion of traveling waves in the Belousov-Zhabotinskij reaction. Zbl 0694.35093Dockery, J. D.; Keener, J. P.; Tyson, J. J. 15 1988 Spiral waves in a model of myocardium. Zbl 0629.76140Tyson, John T.; Keener, James P. 15 1987 Global bifurcations of a periodically forced nonlinear oscillator. Zbl 0573.92005Keener, James P.; Glass, Leon 14 1984 Channel formation in gels. Zbl 1114.74011Cogan, N. G.; Keener, James P. 13 2005 Homogenization and propagation in the bistable equation. Zbl 0939.34049Keener, J. P. 13 2000 An asymptotic analysis of the spatially inhomogeneous velocity-jump process. Zbl 1236.60079Newby, Jay M.; Keener, James P. 12 2011 The core of the spiral. Zbl 0794.35079Keener, James P. 12 1992 On cardiac arrythmias: AV conduction block. Zbl 0488.92010Keener, James P. 12 1981 The effect of epidemics on genetic evolution. Zbl 0529.92013Beck, K.; Keener, J. P.; Ricciardi, P. 12 1984 Knotted vortex filaments in an ideal fluid. Zbl 0686.76014Keener, J. P. 11 1990 Diffusive effects on dispersion in exitable media. Zbl 0703.35091Dockery, J. D.; Keener, J. P. 11 1989 Perturbed bifurcation theory at multiple eigenvalues. Zbl 0299.35071Keener, James P. 10 1974 An immersed interface method for anisotropic elliptic problems on irregular domains in 2D. Zbl 1073.65114Dumett, Miguel A.; Keener, James P. 10 2005 Hopf bifurcation to repetitive activity in nerve. Zbl 0534.92015Rinzel, John; Keener, James P. 10 1983 Re-entry in an anatomical model of the heart. Zbl 0925.92046Panfilov, A.; Keener, J. P. 9 1995 Kinetics of swelling gels. Zbl 1452.76261Keener, James P.; Sircar, Sarthok; Fogelson, Aaron L. 9 2011 On the formation of circulating patterns of excitation in anisotropic excitable media. Zbl 0631.92004Keener, James P. 9 1988 Principles of applied mathematics: transformation and approximation. 2nd revised ed. Zbl 1052.00002Keener, James P. 9 2000 Buckling imperfection sensitivity of columns and spherical caps. Zbl 0284.73029Keener, J. P. 8 1974 A new derivation of Robin boundary conditions through homogenization of a stochastically switching boundary. Zbl 1327.35463Lawley, Sean D.; Keener, James P. 8 2015 The effects of geometry and fibre orientation on propagation and extracellular potentials in myocardium. Zbl 0953.92009Keener, J. P.; Panfilov, A. V. 7 1997 Invariant manifold reductions for Markovian ion channel dynamics. Zbl 1153.92009Keener, James P. 7 2009 Knotted scroll wave filaments in excitable media. Zbl 0699.35145Keener, James P. 6 1989 Helical and circular scroll wave filaments. Zbl 0717.92005Keener, James P.; Tyson, John J. 6 1990 The effect of gap junctional distribution on defibrillation. Zbl 1069.92508Keener, James P. 6 1998 Re-entry in three-dimensional Fitzhugh-Nagumo medium with rotational anisotropy. Zbl 1194.35474Panfilov, Alexander V.; Keener, James P. 6 1995 Analysis of nonprocessive molecular motor transport using renewal reward theory. Zbl 1397.92038Miles, Christopher E.; Lawley, Sean D.; Keener, James P. 5 2018 Oscillatory processes in the theory of particulate formation in supersaturated chemical solutions. Zbl 0296.45018Cohen, Donald S.; Keener, James P. 5 1975 Secondary bifurcation and multiple eigenvalues. Zbl 0418.47044Keener, James P. 5 1979 A mathematical model for the vulnerable phase in myocardium. Zbl 0651.92003Keener, James P. 5 1988 Arrhythmias by dimension. Zbl 1025.92009Keener, James P. 4 2002 Re-entry in three-dimensional Fitzhugh-Nagumo medium with rotational anisotropy. Zbl 0884.92010Panfilov, Alexander V.; Keener, James P. 4 1995 Frequency dependent decoupling of parallel excitable fibers. Zbl 0691.35015Keener, James P. 4 1989 Chaotic behavior in slowly varying systems of nonlinear differential equations. Zbl 0513.34011Keener, James P. 4 1982 Diffusion induced chaos. Zbl 0536.58020Keener, James P. 4 1983 Global asymptotic stability of solutions of nonautonomous master equations. Zbl 1213.34069Earnshaw, Berton A.; Keener, James P. 4 2010 Diffusion induced oscillatory insulin secretion. Zbl 1323.92010Keener, James P. 3 2001 Oscillatory coexistence in a food chain model with competing predators. Zbl 0566.92021Keener, James P. 3 1985 Ephaptic coupling of cardiac cells through the junctional electric potential. Zbl 1141.92010Copene, Elizabeth D.; Keener, James P. 3 2008 Invariant manifolds of binomial-like nonautonomous master equations. Zbl 1203.34069Earnshaw, Berton A.; Keener, James P. 3 2010 Electrodiffusive flux through a stochastically gated ion channel. Zbl 1411.92047Lawley, Sean D.; Keener, James P. 3 2019 Coupled cell model of border zone arrhythmias. Zbl 1087.92044Peercy, Bradford E.; Keener, James P. 2 2005 On the validity of the two-timing method for large times. Zbl 0386.34030Keener, James P. 2 1977 Perturbed bifurcation and buckling of circular plates. Zbl 0254.73044Keener, J. P.; Keller, H. B. 2 1972 Dynamics of dissipative structures in reaction-diffusion equations. Zbl 0814.35052Panfilov, Alexander V.; Keener, James P. 2 1995 The dynamics of helical scroll waves in excitable media. Zbl 0780.76086Keener, James P.; Tyson, John J. 2 1991 Chaotic cardiac dynamics. Zbl 0491.92008Keener, James P. 2 1981 Influence of infectious disease on the growth of a population with three genotypes. Zbl 0529.92015Beck, K.; Keener, J. P.; Ricciardi, P. 2 1983 Slow manifold reduction of a stochastic chemical reaction: exploring Keizer’s paradox. Zbl 1271.92044Childs, Parker; Keener, James P. 2 2012 Jump locations of jump-diffusion processes with state-dependent rates. Zbl 1386.82046Miles, Christopher E.; Keener, James P. 2 2017 Exact reductions of Markovian dynamics for ion channels with a single permissive state. Zbl 1311.92091Keener, James P. 1 2010 A mathematical model for force generation at the kinetochore-microtubule interface. Zbl 1230.92009Shtylla, Blerta; Keener, James P. 1 2011 The diffusion approximation for linear nonautonomous reaction-hyperbolic equations. Zbl 1276.35014Friedman, Avner; Hu, Bei; Keener, James P. 1 2013 Stochastic calcium oscillations. Zbl 1110.92008Keener, James P. 1 2006 Symmetric spirals in media with relaxation kinetics and two diffusing species. Zbl 0810.35165Keener, James P. 1 1994 A mathematical model of ParA filament-mediated chromosome movement in Caulobacter crescentus. Zbl 1337.92069Shtylla, Blerta; Keener, James P. 1 2012 Modelling a biological membrane as a two phase viscous fluid with curvature elasticity. Zbl 1354.74154Magi, R. E.; Keener, J. P. 1 2017 A framework for exploring the post-gelation behavior of Ziff and Stell’s polymerization models. Zbl 1342.80012Fogelson, Aaron L.; Keener, James P. 1 2015 Eulerian-Lagrangian treatment of nondilute two-phase gels. Zbl 1337.35116Camacho, Victor; Fogelson, Aaron; Keener, James 1 2016 How Salmonella Typhimurium measures the length of flagellar filaments. Zbl 1334.92031Keener, J. P. 1 2006 The PafBC-mediated response sensitizes a bistable DNA damage response in Mycobacteria. Zbl 1457.92113FitzGerald, Cody E.; Keener, James P. 1 2021 A calcium-induced calcium release mechanism mediated by calsequestrin. Zbl 1398.92075Lee, Young-Seon; Keener, James P. 1 2008 Bidirectionality from cargo thermal fluctuations in motor-mediated transport. Zbl 1381.92007Miles, Christopher E.; Keener, James P. 1 2017 Red light and the dormancy-germination decision in Arabidopsis seeds. Zbl 1460.92130FitzGerald, Cody; Keener, James 1 2021 The PafBC-mediated response sensitizes a bistable DNA damage response in Mycobacteria. Zbl 1457.92113FitzGerald, Cody E.; Keener, James P. 1 2021 Red light and the dormancy-germination decision in Arabidopsis seeds. Zbl 1460.92130FitzGerald, Cody; Keener, James 1 2021 A systematic search for switch-like behavior in type II toxin-antitoxin systems. Zbl 1466.92061FitzGerald, Cody E.; Keener, James P. 1 2021 Correction to: “Red light and the dormancy-germination decision in Arabidopsis seeds”. Zbl 1466.92120FitzGerald, Cody; Keener, James 1 2021 Electrodiffusive flux through a stochastically gated ion channel. Zbl 1411.92047Lawley, Sean D.; Keener, James P. 3 2019 Analysis of nonprocessive molecular motor transport using renewal reward theory. Zbl 1397.92038Miles, Christopher E.; Lawley, Sean D.; Keener, James P. 5 2018 Jump locations of jump-diffusion processes with state-dependent rates. Zbl 1386.82046Miles, Christopher E.; Keener, James P. 2 2017 Modelling a biological membrane as a two phase viscous fluid with curvature elasticity. Zbl 1354.74154Magi, R. E.; Keener, J. P. 1 2017 Bidirectionality from cargo thermal fluctuations in motor-mediated transport. Zbl 1381.92007Miles, Christopher E.; Keener, James P. 1 2017 Eulerian-Lagrangian treatment of nondilute two-phase gels. Zbl 1337.35116Camacho, Victor; Fogelson, Aaron; Keener, James 1 2016 A new derivation of Robin boundary conditions through homogenization of a stochastically switching boundary. Zbl 1327.35463Lawley, Sean D.; Keener, James P. 8 2015 A framework for exploring the post-gelation behavior of Ziff and Stell’s polymerization models. Zbl 1342.80012Fogelson, Aaron L.; Keener, James P. 1 2015 The diffusion approximation for linear nonautonomous reaction-hyperbolic equations. Zbl 1276.35014Friedman, Avner; Hu, Bei; Keener, James P. 1 2013 Slow manifold reduction of a stochastic chemical reaction: exploring Keizer’s paradox. Zbl 1271.92044Childs, Parker; Keener, James P. 2 2012 A mathematical model of ParA filament-mediated chromosome movement in Caulobacter crescentus. Zbl 1337.92069Shtylla, Blerta; Keener, James P. 1 2012 An asymptotic analysis of the spatially inhomogeneous velocity-jump process. Zbl 1236.60079Newby, Jay M.; Keener, James P. 12 2011 Kinetics of swelling gels. Zbl 1452.76261Keener, James P.; Sircar, Sarthok; Fogelson, Aaron L. 9 2011 A mathematical model for force generation at the kinetochore-microtubule interface. Zbl 1230.92009Shtylla, Blerta; Keener, James P. 1 2011 Global asymptotic stability of solutions of nonautonomous master equations. Zbl 1213.34069Earnshaw, Berton A.; Keener, James P. 4 2010 Invariant manifolds of binomial-like nonautonomous master equations. Zbl 1203.34069Earnshaw, Berton A.; Keener, James P. 3 2010 Exact reductions of Markovian dynamics for ion channels with a single permissive state. Zbl 1311.92091Keener, James P. 1 2010 Mathematical physiology. I: Cellular physiology. 2nd ed. Zbl 1273.92017Keener, James; Sneyd, James 132 2009 Mathematical physiology. II: Systems physiology. 2nd ed. Zbl 1273.92018Keener, James; Sneyd, James 64 2009 Invariant manifold reductions for Markovian ion channel dynamics. Zbl 1153.92009Keener, James P. 7 2009 Ephaptic coupling of cardiac cells through the junctional electric potential. Zbl 1141.92010Copene, Elizabeth D.; Keener, James P. 3 2008 A calcium-induced calcium release mechanism mediated by calsequestrin. Zbl 1398.92075Lee, Young-Seon; Keener, James P. 1 2008 Fibrin gel formation in a shear flow. Zbl 1115.92017Guy, Robert D.; Fogelson, Aaron L.; Keener, James P. 16 2007 Stochastic calcium oscillations. Zbl 1110.92008Keener, James P. 1 2006 How Salmonella Typhimurium measures the length of flagellar filaments. Zbl 1334.92031Keener, J. P. 1 2006 Channel formation in gels. Zbl 1114.74011Cogan, N. G.; Keener, James P. 13 2005 An immersed interface method for anisotropic elliptic problems on irregular domains in 2D. Zbl 1073.65114Dumett, Miguel A.; Keener, James P. 10 2005 Coupled cell model of border zone arrhythmias. Zbl 1087.92044Peercy, Bradford E.; Keener, James P. 2 2005 The role of the biofilm matrix in structural development. Zbl 1055.92034Cogan, N. G.; Keener, James P. 33 2004 An immersed interface method for solving anisotropic elliptic boundary value problems in three dimensions. Zbl 1071.65137Dumett, Miguel A.; Keener, James P. 21 2003 Stability conditions for the traveling pulse: Modifying the restitution hypothesis. Zbl 1080.92501Cytrynbaum, Eric; Keener, James P. 17 2002 Arrhythmias by dimension. Zbl 1025.92009Keener, James P. 4 2002 A mathematical model for quorum sensing in Pseudomonas aeruginosa. Zbl 1323.92123Dockery, Jack D.; Keener, James P. 42 2001 Diffusion induced oscillatory insulin secretion. Zbl 1323.92010Keener, James P. 3 2001 Immersed interface methods for Neumann and related problems in two and three dimensions. Zbl 0982.65112Fogelson, Aaron L.; Keener, James P. 40 2000 Wave-block in excitable media due to regions of depressed excitability. Zbl 0967.35067Lewis, Timothy J.; Keener, James P. 25 2000 Propagation of waves in an excitable medium with discrete release sites. Zbl 0990.92010Keener, J. P. 16 2000 Homogenization and propagation in the bistable equation. Zbl 0939.34049Keener, J. P. 13 2000 Principles of applied mathematics: transformation and approximation. 2nd revised ed. Zbl 1052.00002Keener, James P. 9 2000 Mathematical physiology. Zbl 0913.92009Keener, James; Sneyd, James 397 1998 A numerical method for the solution of the bidomain equations in cardiac tissue. Zbl 1069.92507Keener, J. P.; Bogar, K. 33 1998 The effect of gap junctional distribution on defibrillation. Zbl 1069.92508Keener, James P. 6 1998 The effects of geometry and fibre orientation on propagation and extracellular potentials in myocardium. Zbl 0953.92009Keener, J. P.; Panfilov, A. V. 7 1997 A delay equation representation of pulse circulation on a ring in excitable media. Zbl 0859.35052Courtemanche, Marc; Keener, James P.; Glass, Leon 20 1996 Re-entry in an anatomical model of the heart. Zbl 0925.92046Panfilov, A.; Keener, J. P. 9 1995 Re-entry in three-dimensional Fitzhugh-Nagumo medium with rotational anisotropy. Zbl 1194.35474Panfilov, Alexander V.; Keener, James P. 6 1995 Re-entry in three-dimensional Fitzhugh-Nagumo medium with rotational anisotropy. Zbl 0884.92010Panfilov, Alexander V.; Keener, James P. 4 1995 Dynamics of dissipative structures in reaction-diffusion equations. Zbl 0814.35052Panfilov, Alexander V.; Keener, James P. 2 1995 Symmetric spirals in media with relaxation kinetics and two diffusing species. Zbl 0810.35165Keener, James P. 1 1994 The Perron-Frobenius theorem and the ranking of football teams. Zbl 0788.62064Keener, James P. 27 1993 The dynamics of scroll waves in excitable media. Zbl 0773.35030Keener, James P.; Tyson, John J. 22 1992 The core of the spiral. Zbl 0794.35079Keener, James P. 12 1992 An eikonal-curvature equation for action potential propagation in myocardium. Zbl 0744.92015Keener, James P. 28 1991 The dynamics of helical scroll waves in excitable media. Zbl 0780.76086Keener, James P.; Tyson, John J. 2 1991 Knotted vortex filaments in an ideal fluid. Zbl 0686.76014Keener, J. P. 11 1990 Helical and circular scroll wave filaments. Zbl 0717.92005Keener, James P.; Tyson, John J. 6 1990 Diffusive effects on dispersion in exitable media. Zbl 0703.35091Dockery, J. D.; Keener, J. P. 11 1989 Knotted scroll wave filaments in excitable media. Zbl 0699.35145Keener, James P. 6 1989 Frequency dependent decoupling of parallel excitable fibers. Zbl 0691.35015Keener, James P. 4 1989 Singular perturbation theory of traveling waves in excitable media (A review). Zbl 0656.76018Tyson, John J.; Keener, James P. 110 1988 The dynamics of three-dimensional scroll waves in excitable media. Zbl 0645.76052Keener, James P. 38 1988 Principles of applied mathematics: transformation and approximation. Zbl 0649.00002Keener, James P. 32 1988 The motion of untwisted untorted scroll waves in Belousov-Zhabotinsky reagent. Zbl 1226.35076Keener, James P.; Tyson, John J. 17 1988 Dispersion of traveling waves in the Belousov-Zhabotinskij reaction. Zbl 0694.35093Dockery, J. D.; Keener, J. P.; Tyson, J. J. 15 1988 On the formation of circulating patterns of excitation in anisotropic excitable media. Zbl 0631.92004Keener, James P. 9 1988 A mathematical model for the vulnerable phase in myocardium. Zbl 0651.92003Keener, James P. 5 1988 Propagation and its failure in coupled systems of discrete excitable cells. Zbl 0649.34019Keener, James P. 226 1987 Uniqueness of flow of a second-order fluid past a stretching sheet. Zbl 0613.76006Troy, William C.; Overman, Edward A. II; Ermentrout, G. B.; Keener, James P. 43 1987 Spiral waves in a model of myocardium. Zbl 0629.76140Tyson, John T.; Keener, James P. 15 1987 Spiral waves in the Belousov-Zhabotinskii reaction. Zbl 0611.35041Keener, James P.; Tyson, John J. 64 1986 A geometrical theory for spiral waves in excitable media. Zbl 0655.35046Keener, James P. 63 1986 Oscillatory coexistence in a food chain model with competing predators. Zbl 0566.92021Keener, James P. 3 1985 Global bifurcations of a periodically forced nonlinear oscillator. Zbl 0573.92005Keener, James P.; Glass, Leon 14 1984 The effect of epidemics on genetic evolution. Zbl 0529.92013Beck, K.; Keener, J. P.; Ricciardi, P. 12 1984 Oscillatory coexistence in the chemostat: A codimension two unfolding. Zbl 0525.92017Keener, James P. 19 1983 Hopf bifurcation to repetitive activity in nerve. Zbl 0534.92015Rinzel, John; Keener, James P. 10 1983 Diffusion induced chaos. Zbl 0536.58020Keener, James P. 4 1983 Influence of infectious disease on the growth of a population with three genotypes. Zbl 0529.92015Beck, K.; Keener, J. P.; Ricciardi, P. 2 1983 Phase locking of biological clocks. Zbl 0489.92006Hoppensteadt, F. C.; Keener, J. P. 20 1982 Chaotic behavior in slowly varying systems of nonlinear differential equations. Zbl 0513.34011Keener, James P. 4 1982 Integrate-and-fire models of nerve membrane response to oscillatory input. Zbl 0476.92010Keener, J. P.; Hoppensteadt, F. C.; Rinzel, J. 23 1981 Integrate-and-fire models of nerve membrane response to oscillatory input. Zbl 0491.92009Keener, J. P.; Hoppensteadt, F. C.; Rinzel, J. 22 1981 Infinite period bifurcation and global bifurcation branches. Zbl 0523.34046Keener, James P. 18 1981 On cardiac arrythmias: AV conduction block. Zbl 0488.92010Keener, James P. 12 1981 Chaotic cardiac dynamics. Zbl 0491.92008Keener, James P. 2 1981 Chaotic behavior in piecewise continuous difference equations. Zbl 0458.58016Keener, James P. 56 1980 Waves in excitable media. Zbl 0457.35082Keener, J. P. 29 1980 Secondary bifurcation and multiple eigenvalues. Zbl 0418.47044Keener, James P. 5 1979 Activators and inhibitors in pattern formation. Zbl 0407.92023Keener, James P. 43 1978 A Green’s function for a linear equation associated with solitons. Zbl 0366.35029Keener, J. P.; McLaughlin, D. W. 26 1977 On the validity of the two-timing method for large times. Zbl 0386.34030Keener, James P. 2 1977 Secondary bifurcation in nonlinear diffusion reaction equations. Zbl 0336.35057Keener, J. P. 27 1976 Oscillatory processes in the theory of particulate formation in supersaturated chemical solutions. Zbl 0296.45018Cohen, Donald S.; Keener, James P. 5 1975 Positive solutions of convex nonlinear eigenvalue problems. Zbl 0287.35074Keener, J. P.; Keller, H. B. 44 1974 Perturbed bifurcation theory at multiple eigenvalues. Zbl 0299.35071Keener, James P. 10 1974 Buckling imperfection sensitivity of columns and spherical caps. Zbl 0284.73029Keener, J. P. 8 1974 ...and 2 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,827 Authors 41 Keener, James P. 19 Sneyd, James 18 Hupkes, Hermen Jan 15 King, John Robert 15 Tveito, Aslak 14 Tyson, John J. 14 Zhao, Caidi 13 Hsu, Cheng-Hsiung 12 Biktashev, Vadim N. 12 Bressloff, Paul C. 12 Lawley, Sean D. 12 Moehlis, Jeff 11 Holden, Arun V. 11 Wang, Bixiang 10 Gardini, Laura 10 Glass, Leon 10 Guo, Jong-Shenq 10 Panfilov, Alexander V. 10 Tsai, Je-Chiang 9 Vajravelu, Kuppalapalle 9 Wei, Guowei 9 Whiteley, Jonathan P. 8 Ariel, P. Donald 8 Avrutin, Viktor 8 Bendahmane, Mostafa 8 Kirk, Vivien 8 Lines, Glenn Terje 8 Selgrade, James F. 8 Shen, Wenxian 8 Sushko, Iryna 8 Tramontana, Fabio 8 Van Vleck, Erik S. 8 Wei, Juncheng 8 Zhou, Shengfan 7 Abdallah, Ahmed Y. 7 Anishchenko, Vadim Semenovich 7 Jalife, José 7 Kevrekidis, Ioannis George 7 Maini, Philip Kumar 7 Mori, Yoichiro 7 Ninomiya, Hirokazu 7 van Gorder, Robert Ashton 6 Bär, Markus 6 Bobrowski, Adam 6 Bourgault, Yves 6 Colli Franzone, Piero 6 De Angelis, Monica 6 Ermentrout, Bard G. 6 Fenton, Flavio H. 6 Fogelson, Aaron L. 6 Göktepe, Serdar 6 Gomatam, Jagannathan 6 Ham, YoonMee 6 Jha, Brajesh Kumar 6 Kalita, Piotr 6 Kuhl, Ellen 6 Kunisch, Karl 6 Pertsov, Arkady M. 6 Sacco, Riccardo 6 Simpson, David John Warwick 6 Sontag, Eduardo D. 6 Stehlík, Petr 6 Walcher, Sebastian 6 Winter, Matthias 5 Alford, John G. 5 Bilbault, Jean-Marie 5 Caraballo Garrido, Tomás 5 Coudière, Yves 5 Enciso, Germán Andrés 5 Fowler, Andrew C. 5 Gavaghan, David J. 5 Griffith, Boyce E. 5 Guerri, Luciano 5 Han, Xiaoying 5 Holmes, Philip J. 5 Huang, Nianning 5 Karlsen, Kenneth Hvistendahl 5 Kaźmierczak, Bogdan 5 Krause, Andrew L. 5 LeBlanc, Victor G. 5 Li, Yuexian 5 Lin, Jian Jhong 5 Lin, Song-Sun 5 Longtin, André 5 Lu, Kening 5 Mallet-Paret, John Joseph 5 Morelli, Leonardo 5 Osinga, Hinke Maria 5 Peskin, Charles S. 5 Shepelev, Igor’ Aleksandrovich 5 Strelkova, Galina Ivanova 5 Thomas, Peter J. 5 Volpert, Vitaly A. 5 Wake, Graeme Charles 5 Wang, Qi 5 Ward, Michael J. 5 Waters, Sarah Louise 5 Winfree, Arthur Taylor 5 Yang, Suh-Yuh 5 Zhusubaliev, Zhanybaĭ Tursunbaevich ...and 2,727 more Authors all top 5 Cited in 300 Serials 134 Physica D 101 Journal of Mathematical Biology 90 Chaos 79 Bulletin of Mathematical Biology 69 Mathematical Biosciences 68 Journal of Theoretical Biology 53 Journal of Differential Equations 53 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 52 Journal of Mathematical Analysis and Applications 46 Chaos, Solitons and Fractals 41 Journal of Computational Physics 38 Applied Mathematics and Computation 27 SIAM Journal on Applied Dynamical Systems 26 Communications in Nonlinear Science and Numerical Simulation 21 Journal of Computational and Applied Mathematics 21 Discrete and Continuous Dynamical Systems. 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