Edit Profile Keener, James P. Compute Distance To: Compute Author ID: keener.james-p Published as: Keener, J. P.; Keener, James; Keener, James P. Documents Indexed: 124 Publications since 1972, including 6 Books all top 5 Co-Authors 46 single-authored 9 Fogelson, Aaron L. 8 Tyson, John J. 6 Panfilov, Alexander V. 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 Cogan, Nick G. 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 Copene, Elizabeth D. 1 Courtemanche, Marc 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, Young-Seon 1 Lewis, Mark Alun 1 Lewis, Timothy J. 1 Ma, Jie 1 Magi, R. E. 1 Maini, Philip Kumar 1 McLaughlin, David W. 1 Myers, Chris J. 1 Newby, Jay M. 1 Nguyen, Nam-phuong 1 Overman, Edward A. II 1 Peercy, Bradford E. 1 Peskin, Charles S. 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 all top 5 Serials 26 SIAM Journal on Applied Mathematics 12 Journal of Mathematical Biology 12 Physica D 12 Journal of Theoretical Biology 5 Mathematical Medicine and Biology 4 Bulletin of Mathematical 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 all top 5 Fields 79 Biology and other natural sciences (92-XX) 41 Partial differential equations (35-XX) 18 Ordinary differential equations (34-XX) 15 Fluid mechanics (76-XX) 12 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 98 Publications have been cited 2,118 times in 1,651 Documents Cited by ▼ Year ▼ Mathematical physiology. Zbl 0913.92009Keener, James; Sneyd, James 389 1998 Propagation and its failure in coupled systems of discrete excitable cells. Zbl 0649.34019Keener, James P. 199 1987 Mathematical physiology. I: Cellular physiology. 2nd ed. Zbl 1273.92017Keener, James; Sneyd, James 119 2009 Singular perturbation theory of traveling waves in excitable media (A review). Zbl 0656.76018Tyson, John J.; Keener, James P. 104 1988 Mathematical physiology. II: Systems physiology. 2nd ed. Zbl 1273.92018Keener, James; Sneyd, James 57 2009 A geometrical theory for spiral waves in excitable media. Zbl 0655.35046Keener, James P. 57 1986 Spiral waves in the Belousov-Zhabotinskii reaction. Zbl 0611.35041Keener, James P.; Tyson, John J. 56 1986 Chaotic behavior in piecewise continuous difference equations. Zbl 0458.58016Keener, James P. 53 1980 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 Positive solutions of convex nonlinear eigenvalue problems. Zbl 0287.35074Keener, J. P.; Keller, H. B. 42 1974 Immersed interface methods for Neumann and related problems in two and three dimensions. Zbl 0982.65112Fogelson, Aaron L.; Keener, James P. 40 2000 Perturbed bifurcation theory. Zbl 0254.47080Keener, James P.; Keller, Herbert B. 40 1973 A mathematical model for quorum sensing in Pseudomonas aeruginosa. Zbl 1323.92123Dockery, Jack D.; Keener, James P. 38 2001 Activators and inhibitors in pattern formation. Zbl 0407.92023Keener, James P. 37 1978 The dynamics of three-dimensional scroll waves in excitable media. Zbl 0645.76052Keener, James P. 35 1988 Principles of applied mathematics: transformation and approximation. Zbl 0649.00002Keener, James P. 32 1988 A numerical method for the solution of the bidomain equations in cardiac tissue. Zbl 1069.92507Keener, J. P.; Bogar, K. 30 1998 The role of the biofilm matrix in structural development. Zbl 1055.92034Cogan, N. G.; Keener, James P. 29 2004 Waves in excitable media. Zbl 0457.35082Keener, J. P. 27 1980 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 An eikonal-curvature equation for action potential propagation in myocardium. Zbl 0744.92015Keener, James P. 25 1991 Integrate-and-fire models of nerve membrane response to oscillatory input. Zbl 0491.92009Keener, J. P.; Hoppensteadt, F. C.; Rinzel, J. 25 1981 The Perron-Frobenius theorem and the ranking of football teams. Zbl 0788.62064Keener, James P. 24 1993 Integrate-and-fire models of nerve membrane response to oscillatory input. Zbl 0476.92010Keener, J. P.; Hoppensteadt, F. C.; Rinzel, J. 24 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 The dynamics of scroll waves in excitable media. Zbl 0773.35030Keener, James P.; Tyson, John J. 21 1992 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. 17 1983 Stability conditions for the traveling pulse: Modifying the restitution hypothesis. Zbl 1080.92501Cytrynbaum, Eric; Keener, James P. 16 2002 The motion of untwisted untorted scroll waves in Belousov-Zhabotinsky reagent. Zbl 1226.35076Keener, James P.; Tyson, John J. 16 1988 Propagation of waves in an excitable medium with discrete release sites. Zbl 0990.92010Keener, J. P. 15 2000 Dispersion of traveling waves in the Belousov-Zhabotinskij reaction. Zbl 0694.35093Dockery, J. D.; Keener, J. P.; Tyson, J. J. 15 1988 Infinite period bifurcation and global bifurcation branches. Zbl 0523.34046Keener, James P. 15 1981 Fibrin gel formation in a shear flow. Zbl 1115.92017Guy, Robert D.; Fogelson, Aaron L.; Keener, James P. 14 2007 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 Spiral waves in a model of myocardium. Zbl 0629.76140Tyson, John T.; Keener, James P. 13 1987 Global bifurcations of a periodically forced nonlinear oscillator. Zbl 0573.92005Keener, James P.; Glass, Leon 13 1984 Principles of applied mathematics: transformation and approximation. 2nd revised ed. Zbl 1052.00002Keener, James P. 12 2000 The effect of epidemics on genetic evolution. Zbl 0529.92013Beck, K.; Keener, J. P.; Ricciardi, P. 12 1984 An asymptotic analysis of the spatially inhomogeneous velocity-jump process. Zbl 1236.60079Newby, Jay M.; Keener, James P. 11 2011 The core of the spiral. Zbl 0794.35079Keener, James P. 11 1992 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 On cardiac arrythmias: AV conduction block. Zbl 0488.92010Keener, James P. 11 1981 An immersed interface method for anisotropic elliptic problems on irregular domains in 2D. Zbl 1073.65114Dumett, Miguel A.; Keener, James P. 10 2005 Re-entry in an anatomical model of the heart. Zbl 0925.92046Panfilov, A.; Keener, J. P. 10 1995 Hopf bifurcation to repetitive activity in nerve. Zbl 0534.92015Rinzel, John; Keener, James P. 10 1983 Perturbed bifurcation theory at multiple eigenvalues. Zbl 0299.35071Keener, James P. 10 1974 Re-entry in three-dimensional Fitzhugh-Nagumo medium with rotational anisotropy. Zbl 1194.35474Panfilov, Alexander V.; Keener, James P. 9 1995 On the formation of circulating patterns of excitation in anisotropic excitable media. Zbl 0631.92004Keener, James P. 9 1988 Kinetics of swelling gels. Zbl 05959895Keener, James P.; Sircar, Sarthok; Fogelson, Aaron L. 8 2011 Invariant manifold reductions for Markovian ion channel dynamics. Zbl 1153.92009Keener, James P. 7 2009 The effects of geometry and fibre orientation on propagation and extracellular potentials in myocardium. Zbl 0953.92009Keener, J. P.; Panfilov, A. V. 7 1997 Buckling imperfection sensitivity of columns and spherical caps. Zbl 0284.73029Keener, J. P. 7 1974 A new derivation of Robin boundary conditions through homogenization of a stochastically switching boundary. Zbl 1327.35463Lawley, Sean D.; Keener, James P. 6 2015 The effect of gap junctional distribution on defibrillation. Zbl 1069.92508Keener, James P. 6 1998 Helical and circular scroll wave filaments. Zbl 0717.92005Keener, James P.; Tyson, John J. 6 1990 Knotted scroll wave filaments in excitable media. Zbl 0699.35145Keener, James P. 6 1989 Secondary bifurcation and multiple eigenvalues. Zbl 0418.47044Keener, James P. 6 1979 A mathematical model for the vulnerable phase in myocardium. Zbl 0651.92003Keener, James P. 5 1988 Oscillatory processes in the theory of particulate formation in supersaturated chemical solutions. Zbl 0296.45018Cohen, Donald S.; Keener, James P. 5 1975 Global asymptotic stability of solutions of nonautonomous master equations. Zbl 1213.34069Earnshaw, Berton A.; Keener, James P. 4 2010 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 Diffusion induced chaos. Zbl 0536.58020Keener, James P. 4 1983 Chaotic behavior in slowly varying systems of nonlinear differential equations. Zbl 0513.34011Keener, James P. 4 1982 Invariant manifolds of binomial-like nonautonomous master equations. Zbl 1203.34069Earnshaw, Berton A.; Keener, James P. 3 2010 Ephaptic coupling of cardiac cells through the junctional electric potential. Zbl 1141.92010Copene, Elizabeth D.; Keener, James P. 3 2008 Diffusion induced oscillatory insulin secretion. Zbl 1323.92010Keener, James P. 3 2001 Frequency dependent decoupling of parallel excitable fibers. Zbl 0691.35015Keener, James P. 3 1989 Oscillatory coexistence in a food chain model with competing predators. Zbl 0566.92021Keener, James P. 3 1985 Analysis of nonprocessive molecular motor transport using renewal reward theory. Zbl 1397.92038Miles, Christopher E.; Lawley, Sean D.; Keener, James P. 2 2018 Slow manifold reduction of a stochastic chemical reaction: exploring Keizer’s paradox. Zbl 1271.92044Childs, Parker; Keener, James P. 2 2012 Coupled cell model of border zone arrhythmias. Zbl 1087.92044Peercy, Bradford E.; Keener, James P. 2 2005 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 Influence of infectious disease on the growth of a population with three genotypes. Zbl 0529.92015Beck, K.; Keener, J. P.; Ricciardi, P. 2 1983 Chaotic cardiac dynamics. Zbl 0491.92008Keener, James P. 2 1981 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 Electrodiffusive flux through a stochastically gated ion channel. Zbl 1411.92047Lawley, Sean D.; Keener, James P. 1 2019 Bidirectionality from cargo thermal fluctuations in motor-mediated transport. Zbl 1381.92007Miles, Christopher E.; Keener, James P. 1 2017 Modelling a biological membrane as a two phase viscous fluid with curvature elasticity. Zbl 1354.74154Magi, R. E.; Keener, J. P. 1 2017 Eulerian-Lagrangian treatment of nondilute two-phase gels. Zbl 1337.35116Camacho, Victor; Fogelson, Aaron; Keener, James 1 2016 The diffusion approximation for linear nonautonomous reaction-hyperbolic equations. Zbl 1276.35014Friedman, Avner; Hu, Bei; Keener, James P. 1 2013 A mathematical model of ParA filament-mediated chromosome movement in Caulobacter crescentus. Zbl 1337.92069Shtylla, Blerta; Keener, James P. 1 2012 A mathematical model for force generation at the kinetochore-microtubule interface. Zbl 1230.92009Shtylla, Blerta; Keener, James P. 1 2011 Exact reductions of Markovian dynamics for ion channels with a single permissive state. Zbl 1311.92091Keener, James P. 1 2010 A calcium-induced calcium release mechanism mediated by calsequestrin. Zbl 1398.92075Lee, Young-Seon; Keener, James P. 1 2008 How Salmonella Typhimurium measures the length of flagellar filaments. Zbl 1334.92031Keener, J. P. 1 2006 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 Twisted scroll waves in heterogeneous excitable media. Zbl 0879.92002Panfilov, Alexander V.; Keener, James P. 1 1993 Causes of propagation failure in excitable media. Zbl 0624.92005Keener, J. P. 1 1987 Electrodiffusive flux through a stochastically gated ion channel. Zbl 1411.92047Lawley, Sean D.; Keener, James P. 1 2019 Analysis of nonprocessive molecular motor transport using renewal reward theory. Zbl 1397.92038Miles, Christopher E.; Lawley, Sean D.; Keener, James P. 2 2018 Bidirectionality from cargo thermal fluctuations in motor-mediated transport. Zbl 1381.92007Miles, Christopher E.; Keener, James P. 1 2017 Modelling a biological membrane as a two phase viscous fluid with curvature elasticity. Zbl 1354.74154Magi, R. E.; Keener, J. 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. 6 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. 11 2011 Kinetics of swelling gels. Zbl 05959895Keener, James P.; Sircar, Sarthok; Fogelson, Aaron L. 8 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 119 2009 Mathematical physiology. II: Systems physiology. 2nd ed. Zbl 1273.92018Keener, James; Sneyd, James 57 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. 14 2007 How Salmonella Typhimurium measures the length of flagellar filaments. Zbl 1334.92031Keener, J. P. 1 2006 Stochastic calcium oscillations. Zbl 1110.92008Keener, James 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. 29 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. 16 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. 38 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. 15 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. 12 2000 Mathematical physiology. Zbl 0913.92009Keener, James; Sneyd, James 389 1998 A numerical method for the solution of the bidomain equations in cardiac tissue. Zbl 1069.92507Keener, J. P.; Bogar, K. 30 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. 10 1995 Re-entry in three-dimensional Fitzhugh-Nagumo medium with rotational anisotropy. Zbl 1194.35474Panfilov, Alexander V.; Keener, James P. 9 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. 24 1993 Twisted scroll waves in heterogeneous excitable media. Zbl 0879.92002Panfilov, Alexander V.; Keener, James P. 1 1993 The dynamics of scroll waves in excitable media. Zbl 0773.35030Keener, James P.; Tyson, John J. 21 1992 The core of the spiral. Zbl 0794.35079Keener, James P. 11 1992 An eikonal-curvature equation for action potential propagation in myocardium. Zbl 0744.92015Keener, James P. 25 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. 3 1989 Singular perturbation theory of traveling waves in excitable media (A review). Zbl 0656.76018Tyson, John J.; Keener, James P. 104 1988 The dynamics of three-dimensional scroll waves in excitable media. Zbl 0645.76052Keener, James P. 35 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. 16 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. 199 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. 13 1987 Causes of propagation failure in excitable media. Zbl 0624.92005Keener, J. P. 1 1987 A geometrical theory for spiral waves in excitable media. Zbl 0655.35046Keener, James P. 57 1986 Spiral waves in the Belousov-Zhabotinskii reaction. Zbl 0611.35041Keener, James P.; Tyson, John J. 56 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 13 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. 17 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 0491.92009Keener, J. P.; Hoppensteadt, F. C.; Rinzel, J. 25 1981 Integrate-and-fire models of nerve membrane response to oscillatory input. Zbl 0476.92010Keener, J. P.; Hoppensteadt, F. C.; Rinzel, J. 24 1981 Infinite period bifurcation and global bifurcation branches. Zbl 0523.34046Keener, James P. 15 1981 On cardiac arrythmias: AV conduction block. Zbl 0488.92010Keener, James P. 11 1981 Chaotic cardiac dynamics. Zbl 0491.92008Keener, James P. 2 1981 Chaotic behavior in piecewise continuous difference equations. Zbl 0458.58016Keener, James P. 53 1980 Waves in excitable media. Zbl 0457.35082Keener, J. P. 27 1980 Secondary bifurcation and multiple eigenvalues. Zbl 0418.47044Keener, James P. 6 1979 Activators and inhibitors in pattern formation. Zbl 0407.92023Keener, James P. 37 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. 42 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. 7 1974 Perturbed bifurcation theory. Zbl 0254.47080Keener, James P.; Keller, Herbert B. 40 1973 Perturbed bifurcation and buckling of circular plates. Zbl 0254.73044Keener, J. P.; Keller, H. B. 2 1972 all cited Publications top 5 cited Publications all top 5 Cited by 2,749 Authors 39 Keener, James P. 17 Sneyd, James 15 King, John Robert 13 Hupkes, Hermen Jan 13 Tveito, Aslak 12 Biktashev, Vadim N. 12 Bressloff, Paul C. 12 Hsu, Cheng-Hsiung 12 Tyson, John J. 12 Zhao, Caidi 11 Holden, Arun V. 10 Glass, Leon 10 Guo, Jong-Shenq 10 Moehlis, Jeff 10 Wang, Bixiang 9 Gardini, Laura 9 Lawley, Sean D. 9 Vajravelu, Kuppalapalle 9 Wei, Guowei 9 Whiteley, Jonathan P. 8 Ariel, P. Donald 8 Bendahmane, Mostafa 8 Kirk, Vivien 8 Lines, Glenn Terje 8 Panfilov, Alexander V. 8 Selgrade, James F. 8 Shen, Wenxian 8 Sushko, Iryna 8 Tsai, Je-Chiang 8 Wei, Juncheng 8 Zhou, Shengfan 7 Colli Franzone, Piero 7 Ermentrout, George Bard 7 Jalife, José 7 Kevrekidis, Ioannis George 7 Tramontana, Fabio 7 Van Vleck, Erik S. 6 Avrutin, Viktor 6 Bär, Markus 6 Bobrowski, Adam 6 Bourgault, Yves 6 Ermentrout, Bard G. 6 Göktepe, Serdar 6 Gomatam, Jagannathan 6 Ham, YoonMee 6 Kalita, Piotr 6 Kuhl, Ellen 6 Maini, Philip Kumar 6 Mori, Yoichiro 6 Pertsov, Arkady M. 6 Sacco, Riccardo 6 Sontag, Eduardo D. 6 Stehlík, Petr 6 van Gorder, Robert Ashton 6 Walcher, Sebastian 6 Winter, Matthias 5 Abdallah, Ahmed Y. 5 Alford, John G. 5 Bilbault, Jean-Marie 5 Coudière, Yves 5 De Angelis, Monica 5 Enciso, Germán Andrés 5 Fenton, Flavio H. 5 Fogelson, Aaron L. 5 Gavaghan, David J. 5 Griffith, Boyce E. 5 Guerri, Luciano 5 Han, Xiaoying 5 Holmes, Philip J. 5 Jha, Brajesh Kumar 5 Kaper, Tasso J. 5 Karlsen, Kenneth Hvistendahl 5 Kunisch, Karl 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 Shearer, Michael 5 Simpson, David John Warwick 5 Volpert, Vitaly A. 5 Wake, Graeme Charles 5 Wang, Qi 5 Waters, Sarah Louise 5 Winfree, Arthur Taylor 5 Yang, Suh-Yuh 5 Zou, Xingfu 4 Abel, M. Subhas 4 Alonso, Sergio 4 Ban, Jungchao 4 Bielecki, Andrzej 4 Binczak, Stéphane 4 Bishop, Martin J. 4 Caraballo Garrido, Tomás 4 Carpio, Ana ...and 2,649 more Authors all top 5 Cited in 285 Serials 130 Physica D 93 Journal of Mathematical Biology 88 Chaos 71 Mathematical Biosciences 71 Bulletin of Mathematical Biology 66 Journal of Theoretical Biology 52 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 51 Journal of Mathematical Analysis and Applications 50 Journal of Differential Equations 40 Journal of Computational Physics 38 Chaos, Solitons and Fractals 37 Applied Mathematics and Computation 24 Communications in Nonlinear Science and Numerical Simulation 20 Computer Methods in Applied Mechanics and Engineering 20 Journal of Computational and Applied Mathematics 20 SIAM Journal on Applied Dynamical Systems 19 Journal of Dynamics and Differential Equations 18 Biological Cybernetics 17 Nonlinear Analysis. Real World Applications 16 Discrete and Continuous Dynamical Systems. Series B 12 Archive for Rational Mechanics and Analysis 12 Journal of Mathematical Physics 12 SIAM Journal on Applied Mathematics 12 Abstract and Applied Analysis 12 Nonlinear Analysis. Theory, Methods & Applications 11 Mathematical and Computer Modelling 10 Computers & Mathematics with Applications 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Journal of Mathematical Chemistry 9 Applied Numerical Mathematics 9 Japan Journal of Industrial and Applied Mathematics 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 Journal of Nonlinear Science 9 Discrete and Continuous Dynamical Systems 9 Mathematical Problems in Engineering 8 Journal of Fluid Mechanics 8 Journal of Scientific Computing 8 Neural Computation 8 Journal of Computational Neuroscience 7 Acta Mechanica 7 Applied Mathematics and Mechanics. (English Edition) 7 Numerical Methods for Partial Differential Equations 7 Applied Mathematics Letters 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 Journal of Difference Equations and Applications 7 Mathematical Modelling of Natural Phenomena 6 International Journal of Engineering Science 6 Journal of Engineering Mathematics 6 Physics Letters. A 6 International Journal for Numerical Methods in Engineering 6 Studies in Applied Mathematics 6 Transactions of the American Mathematical Society 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Journal of Statistical Physics 5 Mathematical Methods in the Applied Sciences 5 Physica A 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Automatica 5 Fuzzy Sets and Systems 5 Numerische Mathematik 5 Quarterly of Applied Mathematics 5 Acta Mathematicae Applicatae Sinica. English Series 5 SIAM Review 5 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 Multiscale Modeling & Simulation 4 Communications on Pure and Applied Mathematics 4 Journal of the Franklin Institute 4 Journal of the Mechanics and Physics of Solids 4 Mathematics and Computers in Simulation 4 Systems & Control Letters 4 Acta Applicandae Mathematicae 4 Computational Mechanics 4 Journal of Economic Dynamics & Control 4 European Journal of Applied Mathematics 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 SIAM Journal on Mathematical Analysis 4 Nonlinear Dynamics 4 Discrete Dynamics in Nature and Society 4 Journal of Biological Dynamics 4 The Journal of Mathematical Neuroscience 3 Applicable Analysis 3 International Journal of Heat and Mass Transfer 3 International Journal for Numerical Methods in Fluids 3 International Journal of Systems Science 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Nonlinearity 3 Wave Motion 3 Mathematics of Computation 3 Numerical Functional Analysis and Optimization 3 SIAM Journal on Control and Optimization 3 Japan Journal of Applied Mathematics 3 Numerical Algorithms 3 Archive of Applied Mechanics 3 Continuum Mechanics and Thermodynamics 3 SIAM Journal on Scientific Computing 3 Calculus of Variations and Partial Differential Equations 3 Computational and Applied Mathematics 3 European Journal of Mechanics. A. Solids 3 Journal of Biological Systems 3 Physical Review E. Third Series ...and 185 more Serials all top 5 Cited in 49 Fields 857 Biology and other natural sciences (92-XX) 611 Partial differential equations (35-XX) 343 Ordinary differential equations (34-XX) 319 Dynamical systems and ergodic theory (37-XX) 249 Numerical analysis (65-XX) 148 Fluid mechanics (76-XX) 90 Mechanics of deformable solids (74-XX) 85 Systems theory; control (93-XX) 80 Probability theory and stochastic processes (60-XX) 36 Operator theory (47-XX) 34 Classical thermodynamics, heat transfer (80-XX) 34 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 32 Difference and functional equations (39-XX) 32 Optics, electromagnetic theory (78-XX) 32 Statistical mechanics, structure of matter (82-XX) 30 Computer science (68-XX) 21 Global analysis, analysis on manifolds (58-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 16 Integral equations (45-XX) 16 Information and communication theory, circuits (94-XX) 15 Statistics (62-XX) 13 Mechanics of particles and systems (70-XX) 11 Combinatorics (05-XX) 11 Real functions (26-XX) 11 Differential geometry (53-XX) 11 Operations research, mathematical programming (90-XX) 9 Quantum theory (81-XX) 8 Functional analysis (46-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 General and overarching topics; collections (00-XX) 4 Integral transforms, operational calculus (44-XX) 4 Mathematics education (97-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Algebraic topology (55-XX) 3 Manifolds and cell complexes (57-XX) 3 Geophysics (86-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Measure and integration (28-XX) 2 General topology (54-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) Citations by Year