Software for Bursting Analysis
The computer programs below are listed according to the articles in which they appear. They run with the Matlab or XPPAUT computer software. XPPAUT is free, and runs on Unix, Linux, and Windows machines. It can be downloaded from the website of Bard Ermentrout .
  1. Fazli, Vo, and Bertram
    "Fast-Slow Analysis of a Stochastic Mechanism for Electrical Bursting", Chaos, 31:103128, doi:10.1063/5.0059338, 2021. Chaos_21.m

  2. Bertram and Rubin
    "Multi-Timescale Systems and Fast-Slow Analysis", Mathematical Biosciences, 287:105-121, 2017. MBS_17

  3. Fletcher, Bertram, Tabak
    "From Global to Local: Exploring the Relationship Between Parameters and Behaviors in Models of Electrical Excitability, Journal of Computational Neuroscience, 40:331-345, 2016. JCNS_16.ode

  4. Vo, Tabak, Bertram, Wechselberger
    "A Geometric Understanding of How Fast Activating Potassium Channels Promote Bursting in Pituitary Cells", Journal of Computational Neuroscience, 36:259-278, 2014. JCNS_14.ode

  5. Teka, Tabak, Bertram
    "The Relationship Between Two Fast/Slow Analysis Techniques for Bursting Oscillations", Chaos, 22:043117, 2012. Chaos_12.ode

  6. Teka, Tabak, Vo, Wechselberger, Bertram
    "The Dynamics Underlying Pseudo-Plateau Bursting in a Pituitary Cell Model", Journal of Mathematical Neuroscience, vol. 1, number 12, doi:10.1186/2190-8567-1-12, 2011. JMN_11

  7. Teka, Tsaneva-Atanasova, Bertram, Tabak
    "From Plateau to Pseudo-Plateau Bursting: Making the Transition", Bulletin of Mathematical Biology, vol. 73, pp. 1292-1311, 2011. BMB_11

  8. Watts, Tabak, Zimliki, Sherman, Bertram
    "Slow Variable Dominance and Phase Resetting in Phantom Bursting", Journal of Theoretical Biology, vol. 276, pp. 218-228, 2011. JTB_11

  9. Vo, Bertram, Tabak, Wechselberger
    "Mixed Mode Oscillations as a Mechanism for Pseudo-Plateau Bursting", Journal of Computational Neuroscience, vol. 28, pp. 443-458, 2010. JCNS_10.ode

  10. Toporikova, Tabak, Freeman, and Bertram
    "A-Type K+ Current Can Act as a Trigger for Bursting in the Absence of a Slow Variable", Neural Computation, vol. 20, pp. 436-451, 2008. NC_08.ode

  11. Bertram and Sherman
    "Negative Calcium Feedback: The Road From Chay-Keizer", Chapter 2 of Bursting: The Genesis of Rhythm in the Nervous System, edited by S. Coombes and P. Bressloff, World Scientific Press, pp. 19-48, 2005. burst_book

  12. Bertram, Butte, Kiemel, and Sherman
    "Topological and Phenomenological Classification of Bursting Oscillations", Bulletin of Mathematical Biology, vol. 57, pp. 413-439, 1995. BMB_95.ode