James Keener
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American mathematician
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Mathematics
James Keener's Degrees
- PhD Mathematics University of California, Berkeley
- Bachelors Mathematics University of California, Berkeley
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Why Is James Keener Influential?
(Suggest an Edit or Addition)According to Wikipedia, James "Jim" Paul Keener is an American mathematician, currently Distinguished Professor at University of Utah. He is recognized as a pioneer in the field of mathematical physiology and cardiology. Biography Jim Keener received his PhD from the California Institute of Technology in 1972. Initially intending to work on bifurcation theory, he came across a paper by Otto Rossler that implied that heartbeat can be modeled using chaos theory. Looking to investigate this claim, he picked up the Textbook of Medical Physiology by Arthur Guyton to build some foundational knowledge in cardiology and discovered examples of dynamical systems that had previously been untouched by the applied mathematics community. He was invited to join the faculty at the University of Utah in 1978 by Frank Hoppensteadt to start a new group in mathematical biology. He served as editor-in-chief of the SIAM Journal on Applied Mathematics and was named a SIAM Fellow in 2012.
James Keener's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Mathematical physiology (1998) (2254)
- Singular perturbation theory of traveling waves in excitable media (a review) (1988) (660)
- Propagation and its failure in coupled systems of discrete excitable cells (1987) (586)
- Spiral waves in the Belousov-Zhabotinskii reaction (1986) (300)
- The Perron-Frobenius Theorem and the Ranking of Football Teams (1993) (292)
- INTEGRATE-AND-FIRE MODELS OF NERVE MEMBRANE RESPONSE TO OSCILLATORY INPUT. (1981) (278)
- A mathematical model for quorum sensing in Pseudomonas aeruginosa (2001) (244)
- A geometrical theory for spiral waves in excitable media (1986) (239)
- Solitons under perturbations (1977) (191)
- Chaotic behavior in piecewise continuous difference equations (1980) (190)
- The role of the biofilm matrix in structural development. (2004) (181)
- Kinetics of Swelling Gels (2011) (166)
- The effects of discrete gap junction coupling on propagation in myocardium. (1991) (164)
- Uniqueness of flow of a second-order fluid past a stretching sheet (1987) (159)
- The dynamics of three-dimensional scroll waves in excitable media (1988) (157)
- Principles of Applied Mathematics (2019) (156)
- An eikonal-curvature equation for action potential propagation in myocardium (1991) (148)
- A numerical method for the solution of the bidomain equations in cardiac tissue. (1998) (141)
- The Dynamics of Scroll Waves in Excitable Media (1992) (125)
- Waves in Excitable Media (1980) (123)
- An infrequent molecular ruler controls flagellar hook length in Salmonella enterica (2011) (123)
- Rotating Spiral Waves Created by Geometry (1994) (122)
- Sensitivity analysis and quantification of uncertainty for isotopic mixing relationships in carbon cycle research (2004) (119)
- Sodium channels in the Cx43 gap junction perinexus may constitute a cardiac ephapse: an experimental and modeling study (2015) (108)
- Positive solutions of convex nonlinear eigenvalue problems (1974) (102)
- Perturbed bifurcation theory (1973) (100)
- Activators and Inhibitors in Pattern Formation (1978) (98)
- Comprar Mathematical Physiology · I: Cellular Physiology | Keener, James | 9780387758466 | Springer (2009) (96)
- A Delay Equation Representation of Pulse Circulation on a Ring in Excitable Media (1996) (90)
- Immersed Interface Methods for Neumann and Related Problems in Two and Three Dimensions (2000) (86)
- Elimination of spiral waves in cardiac tissue by multiple electrical shocks. (2000) (84)
- Wave-Block in Excitable Media Due to Regions of Depressed Excitability (2000) (83)
- Re-entry in three-dimensional Fitzhugh-Nagumo medium with rotational anisotropy (1995) (81)
- Fibrin gel formation in a shear flow. (2007) (80)
- Dispersion of traveling waves in the Belousov-Zhabotinskii reaction (1988) (80)
- Homogenization and propagation in the bistable equation (2000) (78)
- Stability conditions for the traveling pulse: Modifying the restitution hypothesis. (2002) (77)
- Re-entry in an anatomical model of the heart (1995) (76)
- Global bifurcations of a periodically forced nonlinear oscillator (1984) (75)
- On cardiac arrythmias: AV conduction block (1981) (72)
- Phase locking of biological clocks (1982) (71)
- A biophysical model for defibrillation of cardiac tissue. (1996) (68)
- SECONDARY BIFURCATION IN NONLINEAR DIFFUSION REACTION EQUATIONS. (1976) (66)
- Direct activation and defibrillation of cardiac tissue. (1996) (65)
- Analog circuitry for the van der Pol and FitzHugh-Nagumo equations (1983) (65)
- Facilitation of intracellular H+ ion mobility by CO2/HCO3− in rabbit ventricular myocytes is regulated by carbonic anhydrase (2002) (64)
- Propagation of Waves in an Excitable Medium with Discrete Release Sites (2000) (64)
- Generation of Reentry in Anisotropic Myocardium (1993) (64)
- Modeling electrical activity of myocardial cells incorporating the effects of ephaptic coupling (2010) (64)
- Effects of high frequency stimulation on cardiac tissue with an inexcitable obstacle. (1993) (63)
- Infinite Period Bifurcation and Global Bifurcation Branches (1981) (62)
- Bacterial flagella grow through an injection-diffusion mechanism (2017) (54)
- A Green's function for a linear equation associated with solitons (1977) (53)
- Toward an understanding of fibrin branching structure. (2010) (51)
- Extracellular sodium and potassium levels modulate cardiac conduction in mice heterozygous null for the Connexin43 gene (2015) (51)
- Ephaptic Coupling in Cardiac Myocytes (2013) (50)
- Perturbation analysis of spontaneous action potential initiation by stochastic ion channels. (2011) (48)
- Diffusive effects on dispersion in excitable media (1989) (48)
- Spiral waves in a model of myocardium (1987) (47)
- Breakdown of fast-slow analysis in an excitable system with channel noise. (2013) (47)
- The Motion of Untwisted Untorted Scroll Waves in Belousov-Zhabotinsky Reagent (1988) (46)
- Comprar Mathematical Physiology · II: Systems Physiology | Keener, James | 9780387793870 | Springer (2009) (46)
- Oscillatory Coexistence in the Chemostat: A Codimension Two Unfolding (1983) (46)
- IS THERE FAILURE OF THE INVERSE FUNCTION THEOREM ? (45)
- Modelling fibrinolysis: a 3D stochastic multiscale model. (2014) (42)
- Microdomain effects on transverse cardiac propagation. (2014) (42)
- Channel Formation in Gels (2005) (41)
- Molecular and Physical Mechanisms of Fibrinolysis and Thrombolysis from Mathematical Modeling and Experiments (2017) (40)
- HOPF BIFURCATION TO REPETITIVE ACTIVITY IN NERVE (1983) (38)
- Invariant manifold reductions for Markovian ion channel dynamics (2009) (38)
- An Immersed Interface Method for Solving Anisotropic Elliptic Boundary Value Problems in Three Dimensions (2003) (37)
- Knotted vortex filaments in an ideal fluid (1990) (36)
- An Asymptotic Analysis of the Spatially Inhomogeneous Velocity-Jump Process (2011) (36)
- Potassium channels in the Cx43 gap junction perinexus modulate ephaptic coupling: an experimental and modeling study (2016) (36)
- Principles Of Applied Mathematics: Transformation And Approximation (2019) (33)
- A mathematical study of volume shifts and ionic concentration changes during ischemia and hypoxia. (2003) (33)
- The effect of divalent vs. monovalent ions on the swelling of mucin-like polyelectrolyte gels: governing equations and equilibrium analysis. (2013) (33)
- Perturbed bifurcation theory at multiple eigenvalues (1974) (32)
- Stochastic calcium oscillations. (2006) (32)
- The effect of gap junctional distribution on defibrillation. (1998) (32)
- Eisosomes are metabolically regulated storage compartments for APC-type nutrient transporters (2018) (32)
- A New Derivation of Robin Boundary Conditions through Homogenization of a Stochastically Switching Boundary (2015) (31)
- Phase singularities and termination of spiral wave reentry. (2003) (31)
- On the formation of circulating patterns of excitation in anisotropic excitable media (1988) (30)
- The core of the spiral (1992) (29)
- Multiplicity and stability of oscillatory states in a continuous stirred tank reactor with exothermic consecutive reactions A → B → C (1976) (26)
- The Design of a Genetic Muller C-Element (2007) (25)
- Binding to Any ESCRT Can Mediate Ubiquitin‐Independent Cargo Sorting (2014) (24)
- Ephaptic coupling of cardiac cells through the junctional electric potential (2008) (23)
- The Effects of Gap Junctions on Propagation in Myocardium: A Modified Cable Theory a (1990) (22)
- The effect of epidemics on genetic evolution (1984) (21)
- A mathematical model and quantitative comparison of the small RNA circuit in the Vibrio harveyi and Vibrio cholerae quorum sensing systems (2013) (21)
- Buckling imperfection sensitivity of columns and spherical caps (1974) (21)
- How Salmonella typhimurium measures the length of flagellar filaments (2006) (21)
- Influence of the standard free energy on swelling kinetics of gels. (2011) (21)
- Stability of the class II classified product crystallizer with fines removal (1973) (20)
- Low-Reynolds-number swimming in viscous two-phase fluids. (2012) (20)
- Global Asymptotic Stability of Solutions of Nonautonomous Master Equations (2010) (20)
- The biphasic mystery: why a biphasic shock is more effective than a monophasic shock for defibrillation. (1999) (19)
- The topology of defibrillation. (2004) (19)
- Helical and circular scroll wave filaments (1990) (17)
- The effect of spatial scale of resistive inhomogeneity on defibrillation of cardiac tissue. (2003) (17)
- Design and analysis of a robust genetic Muller C-element. (2010) (16)
- Diffusion induced oscillatory insulin secretion (2001) (16)
- A molecular ruler mechanism for length control of extended protein structures in bacteria. (2010) (16)
- A calcium-induced calcium release mechanism mediated by calsequestrin. (2008) (16)
- A model for length control of flagellar hooks of Salmonella typhimurium. (2005) (16)
- Chaotic Behavior in Slowly Varying Systems of Nonlinear Differential Equations (1982) (15)
- A mathematical model for the vulnerable phase in myocardium (1988) (15)
- Enhanced Nucleocytoplasmic Transport due to Competition for Elastic Binding Sites. (2018) (15)
- A mechanomolecular model for the movement of chromosomes during mitosis driven by a minimal kinetochore bicyclic cascade. (2010) (15)
- Model for the Onset of Fibrillation Following Coronary Artery Occlusion (2003) (15)
- A physics-based model for maintenance of the pH gradient in the gastric mucus layer. (2017) (15)
- An immersed interface method for anisotropic elliptic problems on irregular domains in 2D (2005) (13)
- Transport Facilitated by Rapid Binding to Elastic Tethers (2018) (13)
- Twisted Scroll Waves in Heterogeneous Excitable Media (1993) (13)
- Knotted scroll wave filaments in excitable media (1989) (13)
- Frequency dependent decoupling of parallel excitable fibers (1989) (12)
- The dynamics of helical scroll waves in excitable media (1991) (12)
- Mechanisms underlying the additive and redundant Qrr phenotypes in Vibrio harveyi and Vibrio cholerae. (2014) (12)
- Modelling fibrinolysis: 1D continuum models. (2014) (11)
- A Mathematical Model for Force Generation at the Kinetochore-Microtubule Interface (2011) (11)
- Dynamics of Dissipative Structures in Reaction-Diffusion Equations (1995) (11)
- A mathematical model of ParA filament-mediated chromosome movement in Caulobacter crescentus. (2012) (10)
- Analysis of Nonprocessive Molecular Motor Transport Using Renewal Reward Theory (2017) (10)
- Secondary Bifurcation and Multiple Eigenvalues (1979) (10)
- Rebinding in biochemical reactions on membranes (2017) (10)
- A mathematical model of force generation by flexible kinetochore-microtubule attachments. (2014) (9)
- Including Rebinding Reactions in Well-Mixed Models of Distributive Biochemical Reactions. (2016) (9)
- Coupled Cell Model of Border Zone Arrhythmias (2005) (9)
- Electrodiffusion-Mediated Swelling of a Two-Phase Gel Model of Gastric Mucus (2018) (9)
- Some modified bifurcation problems with application to imperfection sensitivity in buckling (1972) (8)
- Oscillatory processes in the theory of particulate formation in supersaturated chemical solutions (1975) (8)
- Reducing the number of variational equations in the implementation of multiple shooting (1985) (8)
- Wave Propagation Myocardium (1991) (7)
- A mathematical model analyzing temperature threshold dependence in cold sensitive neurons (2020) (7)
- Arrhythmias by Dimension (7)
- An Interface-Capturing Regularization Method for Solving the Equations for Two-Fluid Mixtures (2013) (7)
- Electrodiffusive Flux Through a Stochastically Gated Ion Channel (2019) (7)
- Invariant Manifolds of Binomial-Like Nonautonomous Master Equations (2010) (7)
- Slow manifold reduction of a stochastic chemical reaction: Exploring Keizer's paradox (2012) (7)
- Mathematical modeling of bacterial track-altering motors: Track cleaving through burnt-bridge ratchets. (2015) (7)
- Differential Operators (2019) (7)
- Arrhythmias by Dimension (7)
- Oscillatory coexistence in a food chain model with competing predators (1985) (6)
- Perturbed bifurcation and buckling of circular plates (1972) (6)
- A Framework for Exploring the Post-gelation Behavior of Ziff and Stell's Polymerization Models (2015) (6)
- NONLINEAR OSCILLATIONS IN A REACTOR WITH TWO TEMPERATURE COEFFICIENTS. (1975) (5)
- Red Light and the Dormancy–Germination Decision in Arabidopsis Seeds (2021) (5)
- Using noise to determine cardiac restitution with memory. (2012) (5)
- Modelling re-entry in a finite element model of the heart (1993) (5)
- The pyrite iron cycle catalyzed by Acidithiobacillus ferrooxidans (2014) (5)
- A Mathematical Model for Inheritance of DNA Methylation Patterns in Somatic Cells (2020) (5)
- Causes of Propagation Failure in Excitable Media (1987) (5)
- Symmetric spirals in media with relaxation kinetics and two diffusing species (1994) (5)
- Exact reductions of Markovian dynamics for ion channels with a single permissive state (2010) (5)
- Influence of Infectious Disease on the Growth of a Population with Three Genotypes (1983) (5)
- Kinetic model of two-monomer polymerization. (2020) (4)
- The Diffusion Approximation for Linear Nonautonomous Reaction-Hyperbolic Equations (2013) (4)
- Eulerian-Lagrangian Treatment of Nondilute Two-Phase Gels (2016) (4)
- Bidirectionality from cargo thermal fluctuations in motor-mediated transport. (2016) (4)
- On the Validity of the Two-Timing Method for Large Times (1977) (4)
- Jump locations of jump-diffusion processes with state-dependent rates (2017) (4)
- The computation of biomarkers in pharmacokinetics with the aid of singular perturbation methods (2018) (3)
- A Theory of Rotating Scroll Waves in Excitable Media (1995) (3)
- The Sarkovskii sequence and stable periodic orbits of maps of the interval (1986) (3)
- Infinite Period Bifurcation in Simple Chemical Reactors (1981) (3)
- Modelling A Biological Membrane as a Two Phase Viscous Fluid with Curvature Elasticity (2017) (3)
- Use of mathematical modeling to study pressure regimes in normal and Fontan blood flow circulations (2018) (3)
- Consequences of the cellular, anisotropic structure of myocardium (1989) (3)
- Fast and Slow Time Scales (2002) (2)
- A mathematical model for the initiation of ventricular tachycardia in myocardium (1989) (2)
- Extracellular sodium and potassium levels modulate cardiac conduction in mice heterozygous null for the Connexin43 gene (2015) (2)
- Initiation and Entrainment of Multicellular Automaticity via Diffusion Limited Extracellular Domains. (2021) (2)
- A systematic search for switch-like behavior in type II toxin–antitoxin systems (2021) (2)
- Modeling and Simulation of the Ion-Binding-Mediated Swelling Dynamics of Mucin-like Polyelectrolyte Gels (2021) (2)
- The Gastrointestinal System (2009) (1)
- Transform and Spectral Theory (2019) (1)
- Development of Fibrin Branch Structure Before and After Gelation (2022) (1)
- Complex nearly immotile behaviour of enzymatically driven cargos. (2019) (1)
- A mathematical model of flagellar gene regulation and construction in Salmonella enterica (2020) (1)
- U.S. $35H.-O. Peitgen and P.H. Richter, The Beauty of Fractals, Springer (1986). (1987) (1)
- Enhanced Electrodiffusive Transport Across a Mucus Layer (2021) (1)
- Differential Operators and Green’s Functions (2018) (1)
- Spontaneous action potential initiation by fast and slow stochastic ion channels (2013) (1)
- Electrical Automaticity and Intercellular Synchronization via Shared Extracellular Compartments (2020) (1)
- Regular Perturbation Theory (2018) (1)
- Superresolution Microscopy Reveals Sodium Channel Localization within Intercalated Disk Microdomains: Implications for Ephaptic Coupling (2015) (1)
- The PafBC-mediated response sensitizes a bistable DNA damage response in Mycobacteria. (2020) (1)
- The Circulatory System (2009) (1)
- Perturbation Methods, Bifurcation Theory and Computer Algebra (Richard H. Rand and Dieter Armbruster) (1988) (0)
- Invariant Manifolds in Markovian Ion Channel Dynamics (0)
- The Retina and Vision (2009) (0)
- Number 11 / 19 A perturbation analysis of spontaneous action potential initiation by stochastic ion channels by (2011) (0)
- The complexity of microtubule-based motility (2019) (0)
- A Mechanomolecular Model for Chromosome Movement During Mitosis (2010) (0)
- Calculus of Variations (2019) (0)
- Singular perturbation theory : D.R. Smith, Cambridge University Press, New York, 1985, 500 pp., $42.50 (1987) (0)
- Singular Perturbation Theory (2019) (0)
- Ion mediated cross-shield driven mucous swelling kinetics (2013) (0)
- Asymptotic Expansions (2018) (0)
- The Mathematics of Sudden Cardiac Death (2000) (0)
- Unconventional Diffusion of Microtubule-Associated Cargos (2018) (0)
- Principles of slowed hydrogen diffusion through a mucus layer. (2021) (0)
- Cell Biology: Making Diffusion Your Friend (2016) (0)
- Stochastic switching dynamics of flagellar rotary motors (2018) (0)
- Membrane Ion Channels (2009) (0)
- $29.80 (paper), 329 ppGerhard Rayna, REDUCE Software for Algebraic Computation, Springer-Verlag, Princeton NJ (1987). (1990) (0)
- Building Effective Collaborations in Quantitative Biology (2015) (0)
- Inverse Scattering Transform (2018) (0)
- Bifurcation Analysis of a Heat-Sensitive Epigenetic Regulatory Network (2021) (0)
- Function Spaces (2019) (0)
- ANISOTROPIC CONDUCTION SLOWING DURING SODIUM CHANNEL BLOCKADE: A ROLE FOR EPHAPTIC COUPLING? (2014) (0)
- Molecular and Physical Mechanisms of Fibrinolysis and Thrombolysis from Mathematical Modeling and Experiments (2017) (0)
- Author response: Bacterial flagella grow through an injection-diffusion mechanism (2017) (0)
- The pyrite iron cycle catalyzed by Acidithiobacillus ferrooxidans (2013) (0)
- Wave Propagation in Excitable Systems (2009) (0)
- Complex Variable Theory (2018) (0)
- Stochastic Analysis of Action Potential Initiation (0)
- AN IMMERSED INTERFACE METHOD FOR THE ANISOTROPIC LAPLACIAN IN 2 (2003) (0)
- How Salmonella Typhimurium measure the length of their Flagellar Filaments (0)
- A Novel Role for Ephaptic Coupling in Cardiac Conduction: An Experimental and Modeling Study (2012) (0)
- AN IMMERSED INTERFACE METHOD FOR SOLVING ANISOTROPIC ELLIPTIC BOUNDARY VALUE PROBLEMS IN 3D ∗ (0)
- A Mathematical Model for Inheritance of DNA Methylation Patterns in Somatic Cells (2020) (0)
- Book reviews (1987) (0)
- Lumped parameter models for two-ventricle and healthy and failing extracardiac Fontan circulations. (2021) (0)
- Selective Immobilization of S4 in Domain III and IV of Rat Brain Nav1.2 Shown by Omega Currents (2015) (0)
- Passive Electrical Flow in Neurons (2009) (0)
- Decreased ephaptic coupling depresses cardiac excitability and slows conduction (2022) (0)
- The Endocrine System (2009) (0)
- List of contributors**Where a paper is by more than two authors, only the first is listed below. (1989) (0)
- Partial Differential Equations (2018) (0)
- Partial Differential Equations (2019) (0)
- The Inner Ear (2009) (0)
- Finite Dimensional Vector Spaces (2019) (0)
- Potassium channels in the Cx43 gap junction perinexus modulate ephaptic coupling: an experimental and modeling study (2016) (0)
- Calsequestrin mediates changes in spontaneous calcium release profiles. (2010) (0)
- Long range predation in pattern formation (1979) (0)
- Integral Equations (2019) (0)
- Introduction to dynamics of biological systems (2009) (0)
- Spiral Waves in Excitable Media (1986) (0)
- Dynamic Patterns im Excitable Media (1984) (0)
- Correction to: Red Light and the Dormancy–Germination Decision in Arabidopsis Seeds (2021) (0)
- Sodium channels in the Cx43 gap junction perinexus may constitute a cardiac ephapse: an experimental and modeling study (2015) (0)
- The computation of biomarkers in pharmacokinetics with the aid of singular perturbation methods (2018) (0)
- To the Editor: (2003) (0)
- Book reviews (1990) (0)
- Erratum: Solitons under perturbations (Physical Review A (1978) 17, 4) (1978) (0)
- A New Mechanism of Cellular and Tissue Automaticity (2020) (0)
- Regulation of Cell Functions (2009) (0)
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James Keener is affiliated with the following schools:
