Publications


Books:


  1. J. P. Keener, Principles of Applied Mathematics; Transformation and Approximation , 2nd edition, Perseus Books, 1999.
  2. J. P. Keener and J. Sneyd, Mathematical Physiology , Springer, 1998.

Journal Articles:


  1. J. P. Keener and H. B. Keller, Perturbed Bifurcation and Buckling of Circular Plates, Conference on Ordinary and Partial Differential Equations, University of Dundee, Lecture Notes in Mathematics, #280, Springer, 286-293 (1972).

  2. J. P. Keener and H. B. Keller, Perturbed Bifurcation Theory, Arch. Rat. Mech. Anal., Vol. 50, #3, 159-175 (1973).

  3. A. D. Randolph, G. L. Beer, and J. P. Keener, Stability of the Class II Classified Product Crystallizer with Fines Removal, AIChE. Journal, Vol. 19, #6, 1140-1149 (1973).

  4. J. P. Keener and H. B. Keller, Positive Solutions of Convex Nonlinear Eigenvalue Problems, J. Diff. Eqns., Vol. 16, #1, 103-125 (1973).

  5. J. P. Keener, Imperfection Sensitivity of Buckling for Columns and Spherical Caps, Quart. Appl. Math., 173-188 (1974).

  6. J. P. Keener, Perturbed Bifurcation Theory at Multiple Eigenvalues, Arch. Rat. Mech. Anal., Vol. 56, #4, 348-366 (1974).

  7. D. S. Cohen and J. P. Keener, Oscillatory Processes in the Theory of Particulate Formation in Super-saturated Chemical Solutions, SIAM J. Appl. Math., Vol. 28, #2, 307-318 (1975).

  8. J. P. Keener and D. S. Cohen, Nonlinear Oscillations in a Reactor with Two Temperature Coefficients, Nuclear Sci. Eng., Vol. 56, 354-359 (1975).

  9. D. S. Cohen and J. P. Keener, Multiplicity and Stability of Oscillatory States in a Continuous Stirred Tank Reactor with Exothermic Consecutive Reactions A . B. C, Chem. Eng. Sci., Vol. 31, 115-122 (1976).

  10. J. P. Keener, Secondary Bifurcation in Nonlinear Diffusion-Reaction Equations, Stud. Appl. Math., 55,187-211 (1976).

  11. J. P. Keener, On the validity of the two-timing method for long times, SIAM J. Math. Anal., Vol. 8, No. 6 (1977).

  12. J. P. Keener and D. W. McLaughlin, Solitons under perturbation, Phys. Rev. A, Vol. 6, No. 2 777-790 (1977).

  13. J. P. Keener and D. W. McLaughlin, A Green's Function for a Linear Equation Associated with Solitons, J. Math. Phys., 16, 2008-2013 (1977).

  14. J. P. Keener, Activators and Inhibitors in Pattern Formation, Stud. Appl. Math., 59, 1-23 (1978).

  15. J. P. Keener, Long Range Predation in Pattern Formation, Rocky Mtn. J. Math., 9, 1, 99-114 (1979).

  16. J. P. Keener, Secondary Bifurcation and Multiple Eigenvalues, SIAM J. Appl. Math., 37, 330- 349 (1979).

  17. J. P. Keener, Chaotic Behavior in Piecewise Continuous Difference Equations, AMS Transactions, 261, 589-604 (1980).

  18. J. P. Keener, Waves in Excitable Media, SIAM J. Appl. Math., 39, 3, 528-548 (1980).

  19. J. P. Keener, Chaotic Cardiac Dynamics, Mathematical Aspects of Physiology, Lectures in Applied Mathematics, 19, 299-325 (1981).

  20. J. P. Keener, F. C. Hoppensteadt, J. Rinzel, Integrate and Fire Models of Nerve Membrane Response to Oscillatory Input , SIAM J. Appl. Math., 41, 503-517 (1981).

  21. J. P. Keener, Infinite Period Bifurcation and Global Bifurcation Branches, SIAM J. Appl. Math., 41, 127-144 (1981).

  22. J. P. Keener, On Cardiac Arrhythmias: AV Conduction Block, J. Math. Biol., 12, 215-225 (1981).

  23. J. P. Keener, Infinite Period Bifurcation in Simple Chemical Reactors, in Modelling of Chemical Reaction Systems, Chemical Physics 18, Springer ed., K. H. Ebert, P. Dueflhard, and W. Jager, 1981.

  24. F. C. Hoppensteadt and J. P. Keener, Phase Locking of Biological Clocks, J. Math. Biol., 15, 339-349(1982).

  25. J. P. Keener, Chaotic Behavior in Slowly Varying Systems of Nonlinear Differential Equations, Stud. Appl. Math., 67, 25-44 (1983).

  26. K. Beck, J. P. Keener and P. Ricciardi, Influence of Infectious Disease on the Growth of a Population with Three Genotypes, Lecture Notes in Biomathematics,52, Springer, 1983.

  27. J. P. Keener, Diffusion Induced Chaos, Contemporary Mathematics,17, 293-391 (1983).

  28. J. P. Keener, Oscillatory Coexistence in the Chemostat: A Codimension Two Unfolding, SIAM J. Appl. Math., 43, 5, 1005-1018 (1983).

  29. J. P. Keener and J. Rinzel, Hopf Bifurcation to Repetitive Activity in Nerve, SIAM J. Appl. Math. 43, 907-922 (1983).

  30. J. P. Keener, Analogue Circuitry for the van der Pol and Fitzhugh Nagumo Equations, IEEE Trans. on Systems, Man, Cybernetics, 13, 5, 1010-1014 (1983).

  31. K. Beck, J. P. Keener, and P. Ricciardi, The Effect of Epidemics on Genetic Evolution, J. Math. Biol., 19, 63-77 (1984).

  32. J. P. Keener, Dynamic Patterns in Excitable Media, Lecture Notes in Biomathematics, 55, 157-169, Springer Verlag, Berlin, 1984.

  33. J. P. Keener and L. Glass, Global bifurcations of a periodically forced nonlinear oscillator, J. Math. Biol., 21, 123-136 (1984).

  34. J. P. Keener, Oscillatory Coexistence in a Food Chain Model with Competing Predators, J. Math. Biol. 22, 123-136 (1985).

  35. F. T. Krogh, J. P. Keener, and W. H. Enright, Reducing the Number of Variational Equations in the Implementation of Multiple Shooting, Progress in Scientific Computing, Vol. 5, Birkhauser Boston, (1985).

  36. J. P. Keener, Spiral Waves in Excitable Media, Lecture Notes in Biomathematics,66, Springer, 115-127, (1986).

  37. J. P. Keener and J. J. Tyson, Spiral Waves in the Belousov-Zhabotinskii Reaction, Physica D, 21, 307-324 (1986).

  38. J. P. Keener, A Sarkovskii Ordering for Stable Periodic Orbits of Maps of the Interval, SIAM J. Num. Anal., 23, 976-985 (1986).

  39. J. P. Keener, A Geometrical Theory for Spiral Waves in Excitable Media, SIAM J. Appl. Math., 46, 1039-1056 (1986).

  40. J. P. Keener, Propagation and its Failure in the Discrete Nagumo Equation, in Ordinary and Partial Differential Equations, eds. B. D. Sleeman and R. J. Jarvis, Pitman Research Notes in Mathematics Series, 157, 95-112, Longman, New York, 1987.

  41. W. C. Troy, E. A. Overman, G. B. Ermentrout and J. P. Keener, Uniqueness of a flow of a second order fluid past a stretching sheet, Quart. J. Appl. Math. 44, 753-755 (1987).

  42. J. P. Keener, Propagation and its Failure in Discrete Systems of Coupled Excitable Cells, SIAM J. Appl. Math. 47, 556-572 (1987).

  43. J. P. Keener, Causes of Propagation Failure in Excitable Media, Temporal Disorder in Human Oscillatory Systems, eds. L. Rensing, U. an der Heiden, M. C. Mackey, Springer Verlag, Berlin, 1987.

  44. J. J. Tyson and J. P. Keener, Spiral Waves in a Model of Myocardium, Physica D 29, 215- 222 (1987).

  45. J. P. Keener and J. J. Tyson, The Motion of Untwisted Untorted Scroll Waves in Belousov-Zhabotinsky Reagent, Science 239, 1284-1286 (1988).

  46. J. P. Keener, On the Formation of Circulating Patterns of Excitation in Anisotropic Excitable Media, J. Math. Biology, 26, 41-57 (1988).

  47. J. D. Dockery, J. P. Keener, and J.J. Tyson, Dispersion in the Belousov-Zhabotinskii Reaction, Physica D 30, 177-191 (1988).

  48. J. P. Keener, The Dynamics of Three Dimensional Scroll Waves in Excitable Media, Physica D 31, 269-276 (1988)

  49. J. P. Keener, A Mathematical Model for the Vulnerable Phase in Myocardium, Math. Biosci. 90, 3- 18, (1988).

  50. J. P. Keener, Frequency Dependent Decoupling of Parallel Excitable Fibers, SIAM J. Appl. Math., 49, 210-230, (1989).

  51. J. J. Tyson and J. P. Keener, Singular Perturbation Theory of Spiral Waves in Excitable Media, Physica D 32, 327-361 (1989).

  52. J. D. Dockery and J. P. Keener, Diffusive Effects on Dispersion in Excitable Media, SIAM J. Appl. Math., 49, 539-566, (1989).

  53. J. P. Keener, Knotted Scroll Wave Filaments in Excitable Media, Physica D 34, 378-390, (1989).

  54. J. P. Keener and F. M. Phelps IV, Consequences of the Cellular, Anisotropic Structure of Myocardium, in Some Mathematical Questions in Biology, The Dynamics of Excitable Media, Lectures on Mathematics in the Life Sciences, Volume 21, ed H. Othmer, AMS, Providence, 1989.

  55. J. P. Keener, A Mathematical Model for the Initiation of Ventricular Tachycardia in Myocardium, in Cell-to-Cell Signalling: From Experiments to Theoretical Models, 589-608, ed. A. Goldbeter, Academic Press, 1989.

  56. J. P. Keener, Knotted vortex filaments in an ideal fluid, J. Fluid Mech. 211, 629-651 (1990).

  57. J. P. Keener, The effects of gap junctions on propagation in myocardium; A modified cable theory, in Mathematical Approaches to Cardiac Arrhythmias, Annals of the New York Academy of Sciences, volume 591, ed. J. Jalife, New York, 257-277, 1990.

  58. J. P. Keener, Wave propagation in myocardium, in Theory of Heart, ed. L. Glass, P. Hunter, A. McCullock, Springer-Verlag, pp. 405-436.

  59. J. P. Keener and J. J. Tyson, Helical and circular scroll wave filaments, Physica D, 44, 191- 202 (1990).

  60. J. P. Keener, The effects of discrete gap junction coupling on propagation in myocardium, J. Theor. Biol., 148, 49-82 (1991).

  61. J. P. Keener, An eikonal-curvature equation for action potential propagation in myocardium, J. Math. Biol., 29, 629-651 (1991).

  62. J. P. Keener and J. J. Tyson, The dynamics of helical scroll waves in excitable media, Physica D, 53, 151-161 (1991).

  63. J. P. Keener and J. J. Tyson, The Dynamics of Scroll Waves in Excitable Media, SIAM Rev., 34, 1-39 (1992).

  64. J. P. Keener, The core of the spiral, SIAM J. Appl. Math., 52, 1372-1390 (1992).

  65. J. P. Keener, Uses and Abuses of numerical analysis in cardiology, in The Dynamics of Numerics and the Numerics of Dynamics, ed. D.S. Broomhead and A. Iserles, Claredon Press, Oxford, 195-213, 1992.

  66. J. P. Keener, The Perron-Frobenius Theorem and the ranking of football teams, SIAM Rev., 35, 80-93, (1993).

  67. A. V. Panfilov and J. P. Keener, Twisted scroll waves in heterogeneous excitable media, Int. J. Bifurcation and Chaos, 3, 445-450 (1993).

  68. M. Courtemanche, L. Glass and J. P. Keener, Instabilities of a propagating pulse in a ring of excitable media, Phys. Rev. Letts., 70, 2182-2185 (1993).

  69. A.V.Panfilov and J.P. Keener, Modeling reentry in a finite element model of the heart, J.Physiol. 467, 152P (1993).

  70. A. V. Panfilov and J. P. Keener, Generation of reentry in anisotropic myocardium, J. Card. Electrophys. 4, 412-421 (1993).

  71. A. V. Panfilov and J. P. Keener, Effects of high frequency stimulation on cardiac tissue with an inexcitable obstacle, J. Theor. Biol. 163, 439-448 (1993).

  72. J. P. Keener, Symmetric Spirals in Media with Relaxation Kinetics and Two Diffusing species, Physica D 70, 61-73 (1994).

  73. K. Agladze, J. P. Keener, S. C. Müller, and A. V. Panfilov, Rotating spiral waves created by geometry, Science 264, 1746-1748 (1994). Abstract

  74. J. J. Tyson and J. P. Keener, A theory of rotating scroll waves in excitable media, in Chemical Waves (R. Kapral and K. Showalter, eds.) 93-118, Kluwer, Dordrecht, 1994.

  75. J. P. Keener and A. V. Panfilov, Three dimensional propagation in the heart: The effects of geometry and fiber orientation on propagation in myocardium, in Cardiac Electrophysiology, eds. D. P. Zipes and J. Jalife, W. B. Saunders Company, 335-348, 1995.
    Abstract

  76. A. V. Panfilov and J. P. Keener, Dynamics of dissipative structures in excitable media, SIAM J. Appl. Math. 55, 205-219 (1995).

  77. A. V. Panfilov and J. P. Keener, Re-entry in an anatomical model of the heart, Chaos, Solitons, and Fractals, 5, 681-689 (1995).Abstract

  78. A.V. Panfilov and J. P. Keener, Reentry in 3-Dimensional FitzHugh-Nagumo medium with rotational anisotropy, Physica D 84, 545-552 (1995).

  79. J. P. Keener, Direct activation and defibrillation of cardiac tissue, J. Theor. Biol., 178, 313-324 (1996). Abstract

  80. M. Courtemanche, J. P. Keener, and L. Glass, A delay equation representation of pulse circulation on a ring in excitable media, SIAM J. Appl. Math., 56, 119-142, (1996).

  81. J. P. Keener and A. V. Panfilov, A biophysical model for defibrillation of cardiac tissue, Biophys J. 71, 1335-1345 (1996). Abstract

  82. J. P. Keener and A. V. Panfilov, The effects of geometry and fiber orientation on propagation and extracellular potentials in myocardium, in Computational Biology of the Heart, eds. A. V. Holden and A. V. Panfilov, Wiley, 1997.
    Abstract

  83. J. P. Keener, The effect of gap junctional distribution on defibrillation, Chaos, 8, 175-187 (1998).

  84. J. P. Keener and K. Bogar, A numerical method for the solution of the bidomain equations in cardiac tissue, Chaos, 8, 234-241 (1998).Abstract

  85. J. P. Keener and T. J. Lewis, The biphasic mystery: Why a biphasic shock is more effective than a monophasic shock for defibrillation, J. Theor. Biol., 200, 1-17 (1999).Abstract (Nice pictures)

  86. J. P. Keener, Homogenization and propagation in the bistable equation, Physica D 136, 1-17 (2000).Abstract
  87. A. V. Panfilov, S. C. Muller, V. S. Zykov and J. P. Keener, Defibrillation of cardiac tissue by multiple subthreshold shocks, Phys. Rev. E, 61, 4644-4647 (2000).

  88. J. P. Keener, Propagation of Waves in an Excitable Medium with Discrete Release Sites, SIAM J. Appl. Math. 61, 317-334 (2000).Abstract

  89. T. J. Lewis and J. P. Keener, Wave-Blocking in excitable media due to regions of depressed excitability, SIAM J. Appl. Math., 61, 293-316 (2000).

  90. J. D. Dockery and J. P. Keener, A Mathematical model for quorum sensing in Pseudomonas Aeruginosa, Bull. Math. Biol. 63, 95-116 (2001). Abstract

  91. A. Fogelson and J. P. Keener, Immersed interface methods for Neumann and related problems in two and three dimensions, Siam J. for Scientific Computing, 22, 1630-1654 (2001).Abstract

  92. J. P. Keener, Diffusion Induced Oscillatory Insulin Secretion, Bull. Math. Biol, 63, 625-641 (2001). Abstract

  93. R. D. Vaughan-Jones, B. E. Peercy, J. P. Keener, and K. W. Spitzer, Intrinsic H$^+$ ion mobility in the mammalian ventricular myocyte, J. Physiology,541.1, 139-158 (2002).

  94. K. W. Spitzer, R. L. Skolnick, B. Peercy, J. Keener, and R. D. Vaughan-Jones, Facilitation of intracellular H$^+$ ion mobility by CO$_2$/HCO$_3^-$ in ventricular myocytes is regulated by carbonic anhydrase, J. Physiology,541.1, 159-167 (2002).

  95. J. P. Keener, Arrhythmias by Dimension, in An Introduction to Mathematical Modeling in Physiology, Cell Biology, and Immunology, Proc. Symp. Applied Math., AMS, 59, ed. J. Sneyd, 2002.

  96. E. Cytrynbaum and J. P. Keener, Stability conditions for the Traveling Pulse - Modifying the restitution hypothesis, Chaos, 12, 788-799 (2002).

  97. J. P. Keener and E. Cytrynbaum, The Effect of Spatial Scale of Resistive Inhomogeneity on Defibrillation of Cardiac Tissue, J. Theoretical Biology 223, 233 - 248 (2003).

  98. C. S. Yi, A. Fogelson, J. P. Keener and C. Peskin, A Mathematical Study of Volume Shifts and Ionic Concentration Changes during Ischemia and Hypoxia, J. Theor. Biol. 220:83-106 (2003).

  99. J. P. Keener, Model for the Onset of Fibrillation following a Coronary Occlusion, J. Cardiovasc. Electrophys. 14, 1225-1232 (2003).

  100. M. Dumett and J. P. Keener, A Numerical Method for Solving Anisotropic Elliptic Boundary Value Problems in 3D, SIAM J. Sci. Comp. 25, 348-367 (2003)

  101. N. Cogan and J. P. Keener, The role of the biofilm matrix in structural development, Mathematical Medicine and Biology, 21, 147-166 (2004).

  102. J. P. Keener, The Topology of Defibrillation, J. Theor. Biol. 230, 459-473 (2004)

  103. M. Dumett and J. P. Keener, An immersed interface method for Anisotropic Elliptic Problems on Irregular Domains in 2D, Num. Methods Partial Differetnial Eqs. 21:397-420, 2005.

  104. N. Cogan and J. P. Keener, Channel Formation in Gels, SIAM J. Appl. Math. , 65, 1839-1854 (2005).

  105. J. P. Keener, A model for length control of flagella of Salmonella typhimurium, J. Theoretical Biology, 234, 263-275 (2005).

  106. B. E. Peercy and J. P. Keener, Coupled cell model of border zone arrhythmias, SIAM J. Appl. Dyn. Sys,4, 679-710 (2005)

  107. J. P. Keener, How Salmonella Typhimurium measure the length of their flagellar filaments, Bulletin of Mathemtical Biology, 68(7):1761-78(2006)

  108. J. M. Zobitz, J. P. Keener, H. Schnyder and D. R. Bowling, Sensitivity analysis and quantification of uncertainty for isotopic mixing relationships in carbon cycle research, Agricultural and Forest Meteorology, 136, 56-75 (2006).

  109. J. P. Keener, Stochastic calcium oscillations, Math Med Biol.23: 1-25(2006)

  110. R.D. Guy, A.L. Fogelson, and J.P. Keener, "Fibrin formation in a shear flow", Math. Med. Biol., Vol. 24, 111-130 (2007).

  111. N.-P. D. Nguyen, H. Kuwahara, C. J. Myers, and J. P. Keener, The Design of a Genetic Muller C-Element, In The 13th IEEE International Symposium on Asynchronous Circuits and Systems, 2007 (ASYNC 07) Best Paper Award.

  112. L. Copene and J. P. Keener, Ephaptic coupling of cardiac cells through the junctional electrical potential, J Math Biol, 57, 668--679 (2008).
  113. Young-Seon Lee and J. P. Keener , "A Calcium-induced calcium release mechanism mediated by Calsequestrin", J. Theor. Biol. 253, 668--679 (2008).

  114. J. P. Keener, Invariant Manifolds Reductions for Markovian Ion Channel Dynamics", Journal of Mathematical Biology: 58, 447 (2009)

  115. J. P. Keener, Exact Reductions of Markovian Dynamics for Ion Channels with a Single Permissive State , to appear J. Math. Biol. 2009.

  116. Berton A. Earnshaw and J. P. Keener, Global Asymptotic Stability for Nonautonomous Master Equations, to appear in SIAM J. Applied Dynamical Systems, 2010.

  117. Blerta Shtylla and J. P. Keener, A mechano-molecular model for the movement of chromosomes during mitosis driven by a minimal kinetochore bicyclic cascade J. Theor. Biol.

  118. Keener,J.P. ,A molecular ruler mechanism for length control of extended protein structures in bacteria. J. Theor. Biol.(2009),doi:10.1016/j.jtbi.2009.12.015

  119. N.-P. Nguyen, C. Myers, H. Kuwahara, C. Winstead, and J. Keener, Design and Analysis of a Robust Genetic Muller C-element, to appear J. Theor. Biol. (2010).
Poster Presentations:


  1. Chung Seon Yi, A. Fogelson and J. P. Keener, ``An Exploration of the Tri-Phasic Rise of Extracellular Potassium'', International Conference on Mathematics in Biology Annual Meeting of the Society for Mathematical Biology August 3-5, 2000, Salt Lake City, Utah.

  2. YS Lee and J. P. Keener, ``Wave Front Solutions of Fertilization Ca2+ Wave'', International Conference on Mathematics in Biology Annual Meeting of the Society for Mathematical Biology August 3-5, 2000, Salt Lake City, Utah.

  3. M. Dumett and J. P. Keener, `` A numerical method for solving anisotropic elliptic BVP on irregular domains in 2D and 3D'', Preservation of Stability under Discretization, Colorado State University, Fort Collins, June 2001.

  4. M. Dumett and J. P. Keener, ``A numerical method for the Bidomain equations in the heart'', International Conference on Mathematics in Biology Annual Meeting of the Society for Mathematical Biology August 3-5, 2000, Salt Lake City, Utah.

  5. E. Cytrynbaum and J. P. Keener , "Understanding Mechanisms of Cardiac Defibrillation", International Conference on Mathematics in Biology Annual Meeting of the Society for Mathematical Biology August 3-5, 2000, Salt Lake City, Utah.

  6. E. Cytrynbaum and J. P. Keener , "Understanding Mechanisms of Cardiac Defibrillation", Gordon Conference on Theoretical Biology, Concord, NH, June 2000.

  7. M. Dumett and J. P. Keener, ``A numerical method for the Bidomain equations in the heart'', Gordon Conference on Theoretical Biology, Concord, NH, June 2000.

  8. B. Peercy and J. P. Keener, ``A Model of Border Zone Arrhythmias'', SMB Annual Meeting, Hawaii, July 2001.

  9. B. Peercy and J. P. Keener, ``A Model of Border Zone Arrhythmias'', SIAM Life Sciences Meeting, Boston, March 2002.

  10. N. Cogan and J. P. Keener, ``A Model of Biofilm Behavior'', SIAM Life Sciences Meeting, Boston, March 2002.

  11. J. P. Keener and A. Chagovetz, Kinetic Models and quantification algorithms for multiplex real-time PCR, ASBMB Annual Meeting, June 2004.


Jim Keener 2003-02-24