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, 2008 (Second Edition)

Journal Publications:

(This research has been supported by several grants from the National Science Foundation and the National Institutes of Health)

  1. B. Shtylla and J. P. Keener, A mathematical model of ParA filament-mediated chromosome movement in bacteria, J Theor Biol. 307:82-95 (2012).

  2. P. Childs and J. P. Keener, Slow Manifold Reduction of a Stochastic Chemical Reaction: Exploring Keizer's Paradox, Discrete Continuous Dynamical Systems-B, 17:1775-1794 (2012).

  3. Shu Dai and J. P . Keener, Using Noise to Determine Cardiac Restitution with Memory, Phys. Rev. E 85, 061902 (2012).

  4. Jian Du, James P. Keener, Robert D. Guy, and Aaron L. Fogelson, Low Reynolds-number Swimming in Viscous Two-Phase Fluids , Phys. Rev. E 85, 036304 (2012).

  5. J. Newby and J. P. Keener. An asymptotic analysis of the spatially-inhomogeneous velocity-jump process, SIAM Multiscsle Modeling and Simulation, 9:735-765 (2011).

  6. James P. Keener, Sarthok Sircar, and Aaron L. Fogelson Influence of the standard free energy on swelling kinetics of gels Phys. Rev. E 83, 041802 (2011).

  7. J. P. Keener, S. Sircar and A. L. Fogelson, Kinetics of swelling gels, SIAM J. Appl. Math. 71, pp. 854-875 (2011).

  8. J. Newby and J. P. Keener, Perturbation analysis of spontaneous action potential initiation by stochastic ion channels, Phys. Rev. E 84, 011918 (2011)

  9. M. Erhardt, H. M. Singer, D. H. Wee, J. P. Keener, and K. T. Hughes, An Infrequent Molecular Ruler Controls Flagellar Hook Length in Salmonella enterica, EMBO J. 2011.

  10. B. Shtylla and J. P. Keener, A mathematical model for force generation at the kinetochore-microtubule interface, SIAM J. Appl. Math. 71, pp. 1821-1848 (2011).

  11. A. L. Fogelson and J. P. Keener "Toward an understanding of fibrin branching structure" Physical Review E, Vol.81, No.5, 051922 (2010).

  12. Tania N, Keener JP, Calsequestrin mediates changes in spontaneous calcium release profiles. J. Theor. Biol. 265, 359-376 (2010).

  13. J. Lin and J. P. Keener Modeling electrical activity of myocardial cells incorporating the effects of ephaptic coupling, Proc Natl Acad Sci U S A 2010 Dec 7;107(49):20935-40.

  14. Berton Earnshaw and J. P. Keener, "Invariant Manifolds of Binomial-Like Nonautonomous Master Equations," SIADS, Volume 9, Issue 2, pp. 568-588 (2010).

  15. Berton Earnshaw and J. P. Keener, Global asymptotic stability of solutions of nonautonomous master equations, SIAM J. Appl. Dyn. Syst., 9, pp. 220-237 (2010).

  16. N.-P. Nguyen, C. Myers, H. Kuwahara, C. Winstead, and J. Keener, Design and Analysis of a Robust Genetic Muller C-element, J. Theor. Biol. ,264, Issue 2, 21 May 2010, Pages 174-187.

  17. 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. Volume 263, Issue 4, 21 April 2010, Pages 455-470

  18. Keener, JP, Exact reductions of Markovian dynamics for ion channels with a single permissive state. J Math Biol 2009

  19. J. P. Keener, 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

  20. J. P. Keener, Invariant Manifolds Reductions for Markovian Ion Channel Dynamics, Journal of Mathematical Biology, (2008)

  21. E. D. Copene and J. P. Keener, Ephaptic Coupling of Cardiac Cells Through the Junctional Electrical Potential, J. Math Biology, Volume 57, Number 2, 265-284, (2008), DOI: 10.1007/s00285-008-0157-3.

  22. Y.-S. Lee and J. P. Keener, A calcium-induced calcium release mechanism mediated by calsequestrin J. Theoretical Biology. (2008)

  23. 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.

  24. R. D. Guy, A. L. Fogelson, and J. P. Keener, Fibrin gel formation in a shear flow Math. Med. Biol.(2007)

  25. Keener, J. How Salmonella typhimurium measures the length of flagellar filaments. Bull. Math. Biol. 68(7):1761-78(2006)

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

  27. 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).

  28. Keener J , A model for length control of flagellar hooks of Salmonella typhimurium. J. Theor. Biol. 2005 May 21;234(2):263-75

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

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

  31. 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.

  32. Keener J , The topology of defibrillation. J Theor Biol 2004 Oct 21;230(4):459-73

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

  34. J. P. Keener, Model for the onset of fibrillation following coronary artery occlusion. J Cardiovasc Electrophysiol 2003 Nov;14(11):1225-32

  35. J. P. Keener and E. Cytrynbaum , The effect of spatial scale of resistive inhomogeneity on defibrillation of cardiac tissue. J Theor Biol 2003 Jul 21;223(2):233-48

  36. Yi CS, Fogelson AL, Keener JP, Peskin C , A mathematical study of volume shifts and ionic concentration changes during ischemia and hypoxia. J Theor Biol 2003 Jan 7;220(1):83-106

  37. 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).

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

  39. Spitzer KW, Skolnick RL, Peercy BE, Keener JP, Vaughan-Jones R , Facilitation of intracellular H(+) ion mobility by CO(2)/HCO(3)(-) in rabbit ventricular myocytes is regulated by carbonic anhydrase. J Physiol 2002 May 15;541(Pt 1):159-67

  40. 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).

  41. 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.

  42. 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

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

  44. Keener J , Diffusion induced oscillatory insulin secretion. Bull Math Biol 2001 Jul;63(4):625-41

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

  46. A. V. Panfilov, S. C. M\"{u}ller, V. S. Zykov and J. P. Keener, Defibrillation of cardiac tissue by multiple subthreshold shocks, Phys. Rev. E, 61, 4644-4647 (2000).

  47. 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).

  48. 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).

  49. 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).

  50. J. P. Keener, Homogenization and propagation in the bistable equation, Physica D 136, 1-17 (2000).Abstract

  51. Keener JP, Lewis T , The biphasic mystery: why a biphasic shock is more effective than a monophasic shock for defibrillation. J Theor Biol 1999 Sep 7;200(1):1-17Abstract (Nice pictures)

  52. Keener JP, Bogar , A numerical method for the solution of the bidomain equations in cardiac tissue. Chaos 1998 Mar;8(1):234-241

  53. Keener J , The effect of gap junctional distribution on defibrillation. Chaos 1998 Mar;8(1):175-187

  54. 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

  55. Keener JP, Panfilov A , A biophysical model for defibrillation of cardiac tissue. Biophys J 1996 Sep;71(3):1335-45Abstract

  56. Keener J , Direct activation and defibrillation of cardiac tissue. J Theor Biol 1996 Feb 7;178(3):313-24

    Abstract

  57. 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).

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

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

  60. 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

  61. 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

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

  63. 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.

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

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

  66. 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).

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

  68. Panfilov AV, Keener J , Generation of reentry in anisotropic myocardium. J Cardiovasc Electrophysiol 1993 Aug;4(4):412-21

  69. 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).

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

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

  72. 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.

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

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

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

  76. Keener J , An eikonal-curvature equation for action potential propagation in myocardium. J Math Biol 1991;29(7):629-51

  77. Keener J , The effects of discrete gap junction coupling on propagation in myocardium. J Theor Biol 1991 Jan 7;148(1):49-82

  78. Keener J , The effects of gap junctions on propagation in myocardium: a modified cable theory. in Mathematical Approaches to Cardiac Arrhythmias, Ann N Y Acad Sci 1990;591():257-277

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

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

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

  82. 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.

  83. 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.

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

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

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

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

  88. Keener J , On the formation of circulating patterns of excitation in anisotropic excitable media. J Math Biol 1988;26(1):41-56

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

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

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

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

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

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

  95. 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.

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

  97. 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).

  98. 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.

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

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

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

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

  103. 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).

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

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

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

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

  108. 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).

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

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

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

  112. 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.

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

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

  115. 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.

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

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

  118. 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).

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

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

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

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

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

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

  125. 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).

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

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

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

  129. 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).

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

  131. 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).

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

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

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

  135. 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).

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

  137. 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).


Jim Keener 2012-5-01