Papers and Manuscripts

Below are links to some postscript or pdf files for papers in print, about to appear or have been submitted. Note that the postscript files are not identical to the published versions.

  1. The Sherman-Rinzel_Keizer Model for Bursting Electrical Activity in the Pancreatic beta-cell, Differential Equation Models in Biology, Epidemiology and Ecology, S. Busenburg and M. Martelli (Eds.), Springer Lecture Notes in Biomathematics, Vol 92, 1991, pp. 34-53.
    1. PDF-file
  2. Parameter Studies for an Analog Model of Bursting Electrical Activity, G. de Vries, R.M. Miura, and M. Pernarowski, in Differential Equations and Applications to Biology and Industry, edited by M. Martelli, K. Cooke, E. Cumberbatch, B. Tang, and H. Thieme, World Scientific, Singapore, 1996, pp. 385-392.
    1. Download Postscript File (1408K)
    2. Download PDF File
  3. Correlations of insulin release rate of islets and plateau fractions of beta-cells, R.M. Miura, M. Pernarowski, Bull. Math. Biol. Vol. 57, pp. 229-246, 1995.
    1. Download Postscript File (448K)
    2. Download PDF File
  4. Fast and slow susbsystems for a continuum model of bursting activity in the pancreatic islet, M. Pernarowski. SIAM J. Appl. Math., 58:1667-1687, 1998.
    1. Download Postscript File (1976K)
    2. Download PDF File
  5. The evolution of slow dispersal rates: a reaction diffusion model, J. Dockery, V. Hutson, K. Mischaikow, M. Pernarowski. J. Math. Biol., 37:61-83, 1998.
    1. Download Postscript File (680K)
    2. Download PDF File
  6. Homoclinic bifurcations in a diffusively coupled excitable system, Y. Morita, M. Pernarowski, J. Dockery. Fields Institute Comm. Vol. 21: pp 397-407, 1999. on International Conference on Differential Equations with Applications to Biology, Halifax, CA.
    1. Download Postscript File (512K)
    2. Download PDF File
  7. Glucose diffusion in pancreatic islets of Langerhans, R. Bertram, M. Pernarowski. Biophys. J., 74, pp 1722-1731, 1998.
    1. Download Postscript File (312K)
    2. Download PDF File
  8. Symmetry breaking homoclinic bifurcations in diffusively coupled equations, Y. Morita, J. Dockery, M. Pernarowski, J. Dynamics and Diff. Eqns. (2001) 13:613-649
    1. Download Postscript File
    2. Download PDF File
  9. Fast subsystem bifurcations in strongly coupled heterogeneous collections of excitable cells, M. Pernarowski. Bull. Math. Biol. (2000) 62, 101-120. 
    1. Download Postscript File (936K)
    2. Download PDF File
  10. Controllability of excitable systems, M. Pernarowski, Bull. Math. Biol. (2001) 63:167-184.
    1. Download Postscript File (456K) (similar version)
    2. Download PDF File
  11. Attractor reconstruction from interspike spike intervals is incomplete. M. Holzer, M. Pernarowski, T. Gedeon. Physica D. (2003) 178: 149-172.
    1. Download PDF File (1112K)
  12. Travelling wave solutions of a reaction diffusion model for competing pioneer and climax species. with S. Brown, J. Dockery. Math. Biosc.(2005) 194(1):21-36 
    1. Download PDF File
  13. Return Map Characterizations for a model of bursting with two slow variables. R. Griffiths, M. Pernarowski. SIAM J. Appl. Math. (2006) 66:1917-1948.
    1. Download PDF File 
  14. Multiscale and sensisvity computations arising in models of electron capture. M. Larkin, M. Pernarowski, L. Stanley (In progress)
  15. A phenomenological model for On and Off responses of cells in the visual system. J. Latulipp, M. Pernarowski (In Progress)
More to come.....


Below are links to postscript files for presentations made at the indicated conferences or workshops.

  1. IMA Workshop presentation Feb 13, 1998 (1024K) A mathematical caricature of multiple slow calcium processes in a model exhibiting bursting
  2. Gordon Research Conference on Theroetical Biology 1998 (2512K) Glucose diffusion in pancreatic islets of Langerhans - with Richard Bertram.
  3. IMA Workshop presentation Feb 16, 1999 (1160K) Controllablity of excitable systems- with applications to the pancreatic beta-cell problem
  4. University of Montana, Missoula. Colloquium April 30, 1999 (784K) Controllablity of excitable cell models. Includes a discussion on quasilinearization procedures not given in IMA workshop talk above.
  5. PIMS Thematic Workshop Tutorial, U.B.C, Vancouver, B.C., June 1999. (4114K) PDE Models for coupled Bursters.
  6. Ryukoku and Hiroshima Universities, Oct. 2000. (6192K) Synchronous behavior in strongly coupled heterogenous collections of excitable cells.

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Updated on: 08/3/10.