Mathematical Physiology Research Group
Recent Publications
Biochemical Processes
- J. Newby and J. P. Keener, Perturbation analysis of spontaneous action potential initiation by stochastic ion channels, Phys. Rev. E 84, 011918 (2011)
- J. Newby and J. P. Keener. An asymptotic analysis of the spatially-inhomogeneous velocity-jump process. (in press, SIAM MMS)
- 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.
- B. Shtylla and J. P. Keener, A mathematical model for force generation at the kinetochore-microtubule interface, to appear SIAM J. Appl. Math. 2011.
- Berton Earnshaw and J. P. Keener, "Invariant Manifolds of Binomial-Like Nonautonomous Master Equations," SIADS, Volume 9, Issue 2, pp. 568-588 (2010).
- 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).
- 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.
- 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
- Keener, JP, Exact reductions of Markovian dynamics for ion channels with a single permissive state. J Math Biol 2009
- 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
- J. P. Keener, Invariant Manifolds Reductions for Markovian Ion Channel Dynamics, Journal of Mathematical Biology, (2008)
- 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.
- Keener, J. How Salmonella typhimurium measures the length of flagellar filaments. Bull. Math. Biol. 68(7):1761-78(2006)
- Keener J , A model for length control of flagellar hooks of Salmonella typhimurium. J. Theor. Biol. 2005 May 21;234(2):263-75
- J. D. Dockery and J. P. Keener, A Mathematical model for quorum
sensing in Pseudomonas Aeruginosa, Bull. Math. Biol. 63, 95-116 (2001).
Abstract
Cardiac Electrophysiology
- 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.
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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.
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B. E. Peercy and J. P. Keener, Coupled cell model of border zone
arrhythmias, SIAM J. Appl. Dyn. Sys,4, 679-710 (2005)
- Keener J , The topology of defibrillation. J Theor Biol 2004 Oct 21;230(4):459-73
- Keener J , Model for the onset of fibrillation following coronary artery occlusion. J Cardiovasc Electrophysiol 2003 Nov;14(11):1225-32
- 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
- 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
- E. Cytrynbaum and J. P. Keener, Stability conditions for the Traveling Pulse -
Modifying the restitution hypothesis, Chaos, 12, 788-799 (2002).
- 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
- 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).
- 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.
- 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
- 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).
- 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).
- E. Cytrynbaum and J. P. Keener, Stability conditions for the Traveling Pulse - Modifying the restitution hypothesis, Chaos, 12, 788-799 (2002).
- 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).
- 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).
- J. P. Keener, Homogenization and propagation in the bistable equation, Physica D 136, 1-17 (2000).Abstract
- 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)
- Keener JP, Bogar , A numerical method for the solution of the bidomain equations in cardiac tissue. Chaos 1998 Mar;8(1):234-241
- Keener J , The effect of gap junctional distribution on defibrillation. Chaos 1998 Mar;8(1):175-187
- 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
- Keener JP, Panfilov A , A biophysical model for defibrillation of cardiac tissue. Biophys J 1996 Sep;71(3):1335-45Abstract
- Keener J , Direct activation and defibrillation of cardiac tissue. J Theor Biol 1996 Feb 7;178(3):313-24
- 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).
- J. P. Keener, Direct activation and defibrillation of cardiac tissue, J. Theor. Biol., 178, 313-324 (1996). Abstract
- A.V. Panfilov and J. P. Keener, Reentry in 3-Dimensional FitzHugh-Nagumo medium with rotational anisotropy, Physica D 84, 545-552 (1995).
- 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
- 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
- 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).
- A.V.Panfilov and J.P. Keener, Modeling reentry in a finite element model of the heart, J.Physiol. 467, 152P (1993).
- Panfilov AV, Keener J , Generation of reentry in anisotropic myocardium. J Cardiovasc Electrophysiol 1993 Aug;4(4):412-21
- 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.
- Keener J , An eikonal-curvature equation for action potential propagation in myocardium. J Math Biol 1991;29(7):629-51
- Keener J , The effects of discrete gap junction coupling on propagation in myocardium. J Theor Biol 1991 Jan 7;148(1):49-82
- 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
- J. P. Keener, Wave propagation in myocardium, in Theory of Heart, ed. L. Glass, P. Hunter, A. McCullock, Springer-Verlag, pp. 405-436.
- 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.
- 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.
Calcium Handling
- Tania N, Keener JP, Calsequestrin mediates changes in spontaneous calcium release profiles. J. Theor. Biol. 265, 359-376 (2010).
- Y.-S. Lee and J. P. Keener, A calcium-induced calcium release mechanism mediated by calsequestrin J. Theoretical Biology. (2008)
- Keener, J Stochastic calcium oscillations. Math Med Biol 23: 1-25(2006)
- Keener J , Diffusion induced oscillatory insulin secretion. Bull Math Biol 2001 Jul;63(4):625-41
- J. P. Keener, Propagation of Waves in an Excitable Medium with Discrete Release Sites, SIAM J. Appl. Math. 61, 317-334 (2000).Abstract
