Software for the pancreatic beta-cell
The computer programs below are listed according to the articles in which they appear. They run with the 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. Bruce, Wei, Leng, Oh, Chiu, Roper, and Bertram
    "Coordination of Pancreatic Islet Rhythmic Activity by Delayed Negative Feedback", American Journal of Physiology, 323:E492-E502, 2022. AJP

  2. Fletcher, Marinelli, Bertram, Satin, Sherman
    "Pulsatile Basal Insulin Secretion is Driven by Glycolytic Oscillations", Physiology, 37,, July 2022. Physiology

  3. Marinelli, Thompson, Parekh, Fletcher, Gerardo-Giorda, Sherman, Satin, Bertram
    "Oscillations in K(ATP) Conductance Drive Slow Calcium Oscillations in Pancreatic β-Cells", Biophysical Journal, 121:1449-1464, 2022. BJ

  4. Marinelli, Parekh, Fletcher, Thompson, Ren, Tang, Saunders, Ha, Sherman, Bertram, Satin
    "Slow Oscilations Persist in Pancreatic Beta Cells Lacking Phosphofructokinase M", Biophysical Journal, 121:692-704, 2022. BJ

  5. Marinelli, Fletcher, Sherman, Satin, Bertram
    "Symbiosis of Electrial and Metabolic Oscillations in Pancreatic Beta-Cells", Frontiers in Physiology, 12:781581, 2021. Frontiers

  6. Fazli, Vo, Bertram
    "Phantom Bursting May Underlie Electrical Bursting in Single Pancreatic β-Cells", Journal of Theoretical Biology, 501:110346, 2020. JTB

  7. Law, Marinelli, Bertram, Corbin, Schildmeyer, Nunemaker
    "Chronic Stimulation Induces Adaptive Potassium Channel Activity That Restores Calcium Oscillations in Pancreatic Islets in Vitro", American Journal of Physiology, 318:E554-E563, 2020. AJP_20.ode

  8. McKenna, Bertram
    "Fast-Slow Analysis of the Integrated Oscillator Model for Pancreatic β-Cells", Journal of Theoretical Biology, 457:152-162, 2018. JTB_18b.ode

  9. Marinelli, Vo, Gerardo-Giorda, Bertram
    "Transitions Between Bursting Modes in the Integrated Oscillator Model", Journal of Theoretical Biology, 454:310-319, 2018. JTB_18a.ode

  10. Yildirim, Vadrevu, Thompson, Satin, Bertram
    "Upregulation of an Inward Rectifying Potassium Channel Can Rescue Slow Calcium Oscillations in K(ATP) Channel Deficient Pancreatic Islets", PLoS Computational Biology, 13(7):e1005686, 2017. PLoS_17

  11. Yildirim, Bertram
    "Calcium Oscillation Frequency-Sensitive Gene Regulation and Homeostatic Compensation in Pancreatic β-Cells", Bulletin of Mathematical Biology, 79:1295-1324, 2017. BMB_17

  12. McKenna, Dhumpa, Mukhitov, Roper, Bertram
    "Glucose Oscillations Can Activate an Endogenous Oscillator in Pancreatic Islets", PLoS Computational Biology, 12(10):e1005143, doi:10.1371/journal.pcbi.1005143, 2016. PLoS_16

  13. McKenna, Ha, Merrins, Satin, Sherman, Bertram
    "Calcium Effects on ATP Production and Consumption Have Regulatory Roles on Oscillatory Islet Activity", Biophysical Journal, vol. 110, pp. 733-742, 2016. BJ_16

  14. Peercy, Sherman, Bertram
    "Modeling of Glucose-Induced cAMP Oscillations in Pancreatic beta Cells: cAMP Rocks when Metabolism Rolls", Biophysical Journal, vol. 109, pp. 439-449, 2015. BJ_15.ode

  15. Watts, Fendler, Merrins, Satin, Bertram, Sherman
    "Calcium and Metabolic Oscillations in Pancreatic Islets: Who's Driving the Bus?", SIAM Journal on Applied Dynamical Systems, vol. 13, pp. 683-703, 2014. SIADS_14

  16. Ren, Sherman, Bertram, Goforth, Nunemaker, Waters, Satin
    "Slow Oscillations in K(ATP) Conductance in Mouse Pancreatic Islets Provide Support for Electrical Bursting Driven by Metabolic Oscillations", American Journal of Physiology, vol. 305, pp. E805-E817, 2013. AJP_13

  17. Merrins, Bertram, Sherman, Satin
    "Phosphofructo-2-kinase/Fructose-2,6-bisphosphatase Modulates Oscillations of Pancreatic Islet Metabolism", PLoS One, 7(4):e34036, doi:10.1371/journal.pone.0034036, 2012. PLOS_12

  18. Zhang, Daou, Truong, Bertram, Roper
    "Synchronization of Mouse Islets of Langerhans by Glucose Waveforms", American Journal of Physicology, vol. 301, pp. E742-E747, 2011. AJP_11b

  19. 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

  20. 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

  21. Merrins, Fendler, Zhang, Sherman, Bertram, Satin
    "Metabolic Oscillations in Pancreatic Islets Depend on the Intracellular Calcium Level but Not Calcium Oscillations", Biophysical Journal, vol. 99, pp. 76-84, 2010. BJ_10

  22. Bertram, Budu-Grajdeanu, Jafri
    "Using Phase Relations to Identify Potential Mechanisms for Metabolic Oscillations in Isolated Beta-Cell Mitochondria", Islets, vol. 1, pp. 87-94, 2009. Islets_09

  23. Fendler, Zhang, Satin, and Bertram
    "Synchronization of Pancreatic Islet Oscillations by Intrapancreatic Ganglia: A Modeling Study", Biophysical Journal, vol. 97, pp. 722-729, 2009. BJ_09

  24. Zhang, Fendler, Peercy, Goel, Bertram, Sherman, and Satin
    "Long Lasting Synchronization of Calcium Oscillations by Cholinergic Stimulation in Isolated Pancreatic Islets", Biophysical Journal, vol. 95, pp. 4676-4688, 2008. synch_08.ode

  25. Bertram and Arceo
    "A Mathematical Study of the Differential Effects of Two SERCA Isoforms on Calcium Oscillations in Pancreatic Islets", Bulletin of Mathematical Biology, vol. 70, pp. 1251-1271, 2008. BMB_08

  26. Bertram, Satin, Pedersen, Luciani, Sherman
    "Interaction of Glycolysis and Mitochondrial Respiration in Metabolic Oscillations of Pancreatic Islets", Biophysical Journal, vol. 92, pp. 1544-1555, 2007. BJ_07

  27. Bertram, Pedersen, Luciani, and Sherman
    "A Simplified Model for Mitochondrial ATP Production", Journal of Theoretical Biology, vol. 243, pp. 575-586, 2006. JTB_06.ode

  28. Pedersen, Bertram, and Sherman
    "Intra- and Inter-Islet Synchronization of Metabolically Driven Insulin Secretion", Biophysical Journal, vol. 89, pp. 107-119, 2005. BJ_05

  29. Sherman and Bertram
    "Integrative Modeling of the Pancreatic Beta-Cell", in Wiley Interscience Encyclopedia of Genetics, Genomics, Proteomics, and Bioinformatics, Part 3 Proteomics, M. Dunn (ed.), Section 3.8, Systems Biology, R. L. Winslow (ed.), John Wiley & Sons, Ltd., 2005. Wiley_05

  30. Wierschem and Bertram
    "Complex Bursting in Pancreatic Islets: A Potential Glycolytic Mechanism", Journal of Theoretical Biology, vol. 228, pp. 513-521, 2004. JTB_04.ode

  31. Bertram and Sherman
    "Filtering of Calcium Transients by the Endoplasmic Reticulum in Pancreatic Beta-Cells", Biophysical Journal, vol. 87, pp. 3775-3785, 2004. BJ_04b

  32. Bertram, Satin, Zhang, Smolen, and Sherman
    "Calcium and Glycolysis Mediate Multiple Bursting Modes in Pancreatic Islets", Biophysical Journal, vol. 87, pp. 3074-3087, 2004.

  33. Bertram and Sherman
    "A Calcium-Based Phantom Bursting Model for Pancreatic Islets", Bulletin of Mathematical Biology, vol. 66, pp. 1313-1344, 2004. BMB_04

  34. Zhang, Goforth, Bertram, Sherman, and Satin
    "The Ca2+ Dynamics of Isolated Mouse Beta-Cells and Islets: Implications for Mathematical Models", Biophysical Journal, vol. 84, pp. 2852-2870, 2003. BJ_03

  35. Goforth, Bertram, Khan, Zhang, Sherman, and Satin
    "Calcium-Activated K+ Channels of Mouse Beta-Cells are Controlled by Both Store and Cytoplasmic Ca2+: Experimental and Theoretical Studies", Journal of General Physiology, vol. 120, pp. 307-322, 2002. BJ_02

  36. Bertram, Previte, Sherman, Kinard, and Satin
    "The Phantom Burster Model for Pancreatic Beta-Cells", Biophysical Journal, vol. 79, pp. 2880-2892, 2000. BJ_00

  37. Mears, Sheppard, Atwater, Rojas, Bertram, and Sherman
    "Evidence that Calcium Release-activated Current Mediates the Biphasic Electrical Activity of Mouse Pancreatic Beta-Cells", Journal of Membrane Biology, vol. 155, pp. 47-59, 1997. JMB_97.ode

  38. Bertram, Smolen, Sherman, Mears, Atwater, Martin, and Soria
    "A role for Calcium Release-Activated Current (CRAC) in Cholinergic Modulation of Electrical Activity in Pancreatic Beta-Cells", Biophysical Journal, vol. 68, pp. 2323-2332, 1995. BJ_95.ode