Abstract
We investigate the hypothesis that two classes of Ca2+ currents, one quickly inactivated by Ca2+ and one slowly inactivated by voltage, contribute to bursting electrical activity in pancreatic islets. A mathematical model of these currents is fit to the experimental whole-cell current-voltage and inactivation profiles, thereby fixing the Ca2+ conductance and all activation and inactivation parameters. Incorporating these currents into a model that includes delayed rectifier K+ channels and ATP-sensitive K+ channels, we show that only abnormal bursting is obtained. Modification of activation parameters to increase Ca2+ channel open times, as suggested by experiment, yields a more robust bursting similar to that observed in intact islets. This reinforces the suggestion that in addition to ATP-sensitive K+ channels, Ca2+ channels may serve as glucose sensors in the beta cell.
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Selected References
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- Ashcroft F. M., Harrison D. E., Ashcroft S. J. Glucose induces closure of single potassium channels in isolated rat pancreatic beta-cells. 1984 Nov 29-Dec 5Nature. 312(5993):446–448. doi: 10.1038/312446a0. [DOI] [PubMed] [Google Scholar]
- Atwater I., Dawson C. M., Ribalet B., Rojas E. Potassium permeability activated by intracellular calcium ion concentration in the pancreatic beta-cell. J Physiol. 1979 Mar;288:575–588. [PMC free article] [PubMed] [Google Scholar]
- Atwater I., Dawson C. M., Scott A., Eddlestone G., Rojas E. The nature of the oscillatory behaviour in electrical activity from pancreatic beta-cell. Horm Metab Res Suppl. 1980;Suppl 10:100–107. [PubMed] [Google Scholar]
- Atwater I., Goncalves A., Herchuelz A., Lebrun P., Malaisse W. J., Rojas E., Scott A. Cooling dissociates glucose-induced insulin release from electrical activity and cation fluxes in rodent pancreatic islets. J Physiol. 1984 Mar;348:615–627. doi: 10.1113/jphysiol.1984.sp015129. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Boyd A. E., 3rd, Hill R. S., Oberwetter J. M., Berg M. Calcium dependency and free calcium concentrations during insulin secretion in a hamster beta cell line. J Clin Invest. 1986 Mar;77(3):774–781. doi: 10.1172/JCI112374. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Chay T. R. Bursting excitable cell models by a slow Ca2+ current. J Theor Biol. 1990 Feb 9;142(3):305–315. doi: 10.1016/s0022-5193(05)80555-7. [DOI] [PubMed] [Google Scholar]
- Chay T. R. Effect of compartmentalized Ca2+ ions on electrical bursting activity of pancreatic beta-cells. Am J Physiol. 1990 May;258(5 Pt 1):C955–C965. doi: 10.1152/ajpcell.1990.258.5.C955. [DOI] [PubMed] [Google Scholar]
- Chay T. R., Keizer J. Minimal model for membrane oscillations in the pancreatic beta-cell. Biophys J. 1983 May;42(2):181–190. doi: 10.1016/S0006-3495(83)84384-7. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Cook D. L., Hales C. N. Intracellular ATP directly blocks K+ channels in pancreatic B-cells. Nature. 1984 Sep 20;311(5983):271–273. doi: 10.1038/311271a0. [DOI] [PubMed] [Google Scholar]
- Dean P. M., Matthews E. K. Glucose-induced electrical activity in pancreatic islet cells. J Physiol. 1970 Sep;210(2):255–264. doi: 10.1113/jphysiol.1970.sp009207. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Falke L. C., Gillis K. D., Pressel D. M., Misler S. 'Perforated patch recording' allows long-term monitoring of metabolite-induced electrical activity and voltage-dependent Ca2+ currents in pancreatic islet B cells. FEBS Lett. 1989 Jul 17;251(1-2):167–172. doi: 10.1016/0014-5793(89)81448-6. [DOI] [PubMed] [Google Scholar]
- Hellman B., Gylfe E., Grapengiesser E., Panten U., Schwanstecher C., Heipel C. Glucose induces temperature-dependent oscillations of cytoplasmic Ca2+ in single pancreatic beta-cells related to their electrical activity. Cell Calcium. 1990 Jun-Jul;11(6):413–418. doi: 10.1016/0143-4160(90)90053-w. [DOI] [PubMed] [Google Scholar]
- Hopkins W. F., Satin L. S., Cook D. L. Inactivation kinetics and pharmacology distinguish two calcium currents in mouse pancreatic B-cells. J Membr Biol. 1991 Feb;119(3):229–239. doi: 10.1007/BF01868728. [DOI] [PubMed] [Google Scholar]
- Keahey H. H., Rajan A. S., Boyd A. E., 3rd, Kunze D. L. Characterization of voltage-dependent Ca2+ channels in beta-cell line. Diabetes. 1989 Feb;38(2):188–193. doi: 10.2337/diab.38.2.188. [DOI] [PubMed] [Google Scholar]
- Keizer J., Magnus G. ATP-sensitive potassium channel and bursting in the pancreatic beta cell. A theoretical study. Biophys J. 1989 Aug;56(2):229–242. doi: 10.1016/S0006-3495(89)82669-4. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Kukuljan M., Goncalves A. A., Atwater I. Charybdotoxin-sensitive K(Ca) channel is not involved in glucose-induced electrical activity in pancreatic beta-cells. J Membr Biol. 1991 Jan;119(2):187–195. doi: 10.1007/BF01871418. [DOI] [PubMed] [Google Scholar]
- Meissner H. P., Atwater I. J. The kinetics of electrical activity of beta cells in response to a "square wave" stimulation with glucose or glibenclamide. Horm Metab Res. 1976 Jan;8(1):11–16. doi: 10.1055/s-0028-1093685. [DOI] [PubMed] [Google Scholar]
- Meissner H. P. Electrical characteristics of the beta-cells in pancreatic islets. J Physiol (Paris) 1976 Nov;72(6):757–767. [PubMed] [Google Scholar]
- Misler S., Falke L. C., Gillis K., McDaniel M. L. A metabolite-regulated potassium channel in rat pancreatic B cells. Proc Natl Acad Sci U S A. 1986 Sep;83(18):7119–7123. doi: 10.1073/pnas.83.18.7119. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Plant T. D. Properties and calcium-dependent inactivation of calcium currents in cultured mouse pancreatic B-cells. J Physiol. 1988 Oct;404:731–747. doi: 10.1113/jphysiol.1988.sp017316. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Ribalet B., Beigelman P. M. Effects of divalent cations on beta-cell electrical activity. Am J Physiol. 1981 Jul;241(1):C59–C67. doi: 10.1152/ajpcell.1981.241.1.C59. [DOI] [PubMed] [Google Scholar]
- Rojas E., Hidalgo J., Carroll P. B., Li M. X., Atwater I. A new class of calcium channels activated by glucose in human pancreatic beta-cells. FEBS Lett. 1990 Feb 26;261(2):265–270. doi: 10.1016/0014-5793(90)80568-4. [DOI] [PubMed] [Google Scholar]
- Rorsman P., Trube G. Calcium and delayed potassium currents in mouse pancreatic beta-cells under voltage-clamp conditions. J Physiol. 1986 May;374:531–550. doi: 10.1113/jphysiol.1986.sp016096. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Satin L. S., Cook D. L. Calcium current inactivation in insulin-secreting cells is mediated by calcium influx and membrane depolarization. Pflugers Arch. 1989 May;414(1):1–10. doi: 10.1007/BF00585619. [DOI] [PubMed] [Google Scholar]
- Satin L. S., Cook D. L. Evidence for two calcium currents in insulin-secreting cells. Pflugers Arch. 1988 Apr;411(4):401–409. doi: 10.1007/BF00587719. [DOI] [PubMed] [Google Scholar]
- Sherman A., Keizer J., Rinzel J. Domain model for Ca2(+)-inactivation of Ca2+ channels at low channel density. Biophys J. 1990 Oct;58(4):985–995. doi: 10.1016/S0006-3495(90)82443-7. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Sherman A., Rinzel J., Keizer J. Emergence of organized bursting in clusters of pancreatic beta-cells by channel sharing. Biophys J. 1988 Sep;54(3):411–425. doi: 10.1016/S0006-3495(88)82975-8. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Smith P. A., Ashcroft F. M., Rorsman P. Simultaneous recordings of glucose dependent electrical activity and ATP-regulated K(+)-currents in isolated mouse pancreatic beta-cells. FEBS Lett. 1990 Feb 12;261(1):187–190. doi: 10.1016/0014-5793(90)80667-8. [DOI] [PubMed] [Google Scholar]
- Valdeolmillos M., Santos R. M., Contreras D., Soria B., Rosario L. M. Glucose-induced oscillations of intracellular Ca2+ concentration resembling bursting electrical activity in single mouse islets of Langerhans. FEBS Lett. 1989 Dec 18;259(1):19–23. doi: 10.1016/0014-5793(89)81484-x. [DOI] [PubMed] [Google Scholar]