• Mathematical Physiology Home
• People
• Publications
• Meeting Schedule
• Journal Watch

Related Websites

• Research Groups
• • Biofluids and Biogels
  • Biophysics and Stochastics
  • Ecology, Immunology, and Epidemiology
  • Neuroscience
  • Physiology
  • Theoretical and Applied Ecology
• Mathematical Biology
• Department of Mathematics
• College of Science

Math Biology Seminar

Mathematical Physiology Research Group

Recent Publications

Biochemical Processes

• S. D. Lawley and J. P. Keener, A New Derivation of Robin Boundary Conditions through Homogenization of a Stochastically Switching Boundary, SIAM J. Appl. Dyn. Sys. 14, pp. 1845-1867(2015).
• Shtylla B, Keener JP, Mathematical modeling of bacterial track-altering motors: Track cleaving through burnt-bridge ratchets, Phys Rev E Stat Nonlin Soft Matter Phys 2015 Apr;91(4):042711
• Miguel A. Dumett and J. P. Keener, The Pyrite Iron Cycle Catalyzed by \textit{Acidithiobacillus Ferroxidans}, J Math. Biol. 69, 449-67 (2014).
• J. P. Keener and B. Shtylla, A mathematical model of force generation by flexible kinetochore-microtubule attachments, Biophysical J. 106, Pages 999--1007 (2014).
• Hunter GA, Keener JP, Mechanisms underlying the additive and redundant Qrr phenotypes in Vibrio harveyi and Vibrio cholerae. J Theor Biol 2014 Jan 7;340:38-49
• Mageswaran SK, Dixon MG, Curtiss M, Keener JP, Babst M, Binding to Any ESCRT Can Mediate Ubiquitin-Independent Cargo Sorting. Traffic 15(2):212-29 (2014).
• Hunter GA, Vasquez FG, Keener JP, A mathematical model and quantitative comparison of the small RNA circuit in the Vibrio harveyi and Vibrio cholerae quorum sensing systems. Phys Biol 2013 Aug;10(4):046007
• J. M. Newby, P. C. Bressloff, and J. P. Keener, Breakdown of fast-slow analysis in an excitable system with channel noise, Phys. Rev. Lett. 111, 128101 (2013)
• B. Shtylla and J. P. Keener, A mathematical model of ParA filament-mediated chromosome movement in bacteria, J Theor Biol. 307:82-95 (2012).
• 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).
• 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. SIAM Multiscale Modeling and Simulation, 9:735-765 (2011)
• 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. (2010) 60: 473. doi:10.1007/s00285-009-0271-x
• 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, J. Math. Biol.: 58, 447 (2009)
• 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

• R. Veeraraghavan, J. Lin, J. P. Keener, R. Gourdie,S. Poelzing, Potassium Channels in the Cx43 Gap Junction Perinexus Modulate Ephaptic Coupling: An Experimental and Modeling Study, Pflugers Archiv - European Journal of Physiology, 2016 Oct;468(10):1651-61.
• S. George, K. J. Sciuto, J. Lin Ph.D, M. Salama Ph.D, J. P. Keener Ph.D, R. Gourdie Ph.D, S. Poelzing Ph.D, Extracellular sodium and potassium levels modulate cardiac conduction in mice heterozygous null for the Connexin43 gene. Pflugers Arch. 2015 Nov;467(11):2287-97. doi: 10.1007/s00424-015-1698-0. Epub 2015 Mar 14.
• S. George, K. J. Sciuto, J. Lin Ph.D, M. Salama Ph.D, J. P. Keener Ph.D, R. Gourdie Ph.D, S. Poelzing Ph.D, Effects of Extracellular Sodium and Potassium on Cardiac Conduction in Mice with Reduced Gap Junctional Coupling, Pflugers Archiv - European J. Physiology (2015) Oct;467(10):2093-105. doi: 10.1007/s00424-014-1675-z. Epub 2015 Jan 13.
• R. Veeraraghavan, J. Lin, J. P. Keener, R. Gourdie and S. Poelzing, Sodium Channels in the Cx43 Gap Junction Perinexus May Constitute a Cardiac Ephapse: An Experimental and Modeling Study, Pflugers Archiv - European Journal of Physiology. (2015).
• Lin J, Keener JP, Ephaptic coupling in cardiac myocytes. IEEE Trans Biomed Eng 2013 Feb;60(2):576-82
• Rengasayee Veeraraghavan, Joyce Lin, James P Keener, Steven Poelzing, A Novel Role for Ephaptic Coupling in Cardiac Conduction: An Experimental and Modeling Study Biophysical Journal 102, 35a-36a (2012).
• Shu Dai and J. P . Keener, Using Noise to Determine Cardiac Restitution with Memory, Phys. Rev. E 85, 061902 (2012).
• 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.
• 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.
  
• B. E. Peercy and J. P. Keener, Coupled cell model of border zone arrhythmias, SIAM J. Appl. Dyn. Sys,4, 679-710 (2005) Abstract
• 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). Abstract
• 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). Abstract
• 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. Abstract
• 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):1-17AbstractAbstract (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