Analyzing electrical activities of pancreatic β cells using mathematical models

Progress in Biophysics and Molecular Biology

Volumn 107, Issue 2, 2011, Pages 265-273

  Cha, Chae Young ^a   Powell, Trevor ^b   Noma, Akinori ^a  

^a RITSUMEIKAN UNIVERSITY   (Japan)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Islet; Isolated single cell; Mathematical analysis; Mathematical model; Pancreatic cells

Indexed keywords

ACTION POTENTIAL; ANIMAL; BIOLOGICAL MODEL; CYTOLOGY; ELECTROPHYSIOLOGY; HUMAN; METABOLISM; PANCREAS ISLET BETA CELL; REVIEW; SINGLE CELL ANALYSIS;

ACTION POTENTIALS; ANIMALS; ELECTROPHYSIOLOGICAL PROCESSES; HUMANS; INSULIN-SECRETING CELLS; MODELS, BIOLOGICAL; SINGLE-CELL ANALYSIS;

EID: 82455212878     PISSN: 00796107     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pbiomolbio.2011.08.001     Document Type: Review

References (35)

1. Bertram R., Butte M.J., Kiemel T., Sherman A. Topological and phenomenological classification of bursting oscillations. Bull. Math. Biol. 1995, 57:413-439.
2. Bertram R., Previte J., Sherman A., Kinard T.A., Satin L.S. The phantom burster model for pancreatic beta-cells. Biophys. J. 2000, 79:2880-2892.
3. Bertram R., Satin L., Zhang M., Smolen P., Sherman A. Calcium and glycolysis mediate multiple bursting modes in pancreatic islets. Biophys. J. 2004, 87:3074-3087.
4. Braun M., Ramracheya R., Bengtsson M., Zhang Q., Karanauskaite J., Partridge C., Johnson P.R., Rorsman P. Voltage-gated ion channels in human pancreatic beta-cells: electrophysiological characterization and role in insulin secretion. Diabetes 2008, 57:1618-1628.
5. Cha C.Y., Himeno Y., Shimayoshi T., Amano A., Noma A. A novel method to quantify contribution of channels and transporters to membrane potential dynamics. Biophys. J. 2009, 97:3086-3094.
6. 2+ dynamics underlying the glucose response of pancreatic beta cells: a simulation study. J. Gen. Physiol. 2011, 138(1):21-37.
7. Cha C.Y., Santos E., Amano A., Shimayoshi T., Noma A. Time-dependent changes in membrane excitability during glucose-induced bursting activity in pancreatic beta cells. J. Gen. Physiol. 2011, 138(1):39-47.
8. 2+ ions on electrical bursting activity of pancreatic beta-cells. Am. J. Physiol. 1990, 258:C955-C965.
9. Chay T.R., Kang H.S. Role of single-channel stochastic noise on bursting clusters of pancreatic beta-cells. Biophys. J. 1988, 54:427-435.
10. Chay T.R., Keizer J. Minimal model for membrane oscillations in the pancreatic beta-cell. Biophys. J. 1983, 42:181-190.
11. Dhein S., Mohr F.W., Delmar M. Practical Methods In Cardiovascular Research 2005.
12. Diederichs F. Mathematical simulation of membrane processes and metabolic fluxes of the pancreatic beta-cell. Bull. Math. Biol. 2006, 68:1779-1818.
13. Fall C.P., Marland E.S., Wagner J.M., Tyson J.J. Computational Cell Biology 2002, Springer-Verlag New York, Inc.
14. 2+ interactions. Am. J. Physiol. Endocrinol. Metab. 2005, 289:E839-E848.
15. 2+ flux in pancreatic beta-cells: role of the plasma membrane and intracellular stores. Am. J. Physiol. Endocrinol. Metab. 2003, 285:E138-E154.
16. 2+: experimental and theoretical studies. J. Gen. Physiol. 2002, 120:307-322.
17. Gopel S., Kanno T., Barg S., Galvanovskis J., Rorsman P. Voltage-gated and resting membrane currents recorded from B-cells in intact mouse pancreatic islets. J. Physiol. 1999, 521(Pt 3):717-728.
18. + channels contributes to rhythmic firing of action potentials in mouse pancreatic beta cells. J. Gen. Physiol. 1999, 114:759-770.
19. 2+ channels. Proc. Natl. Acad. Sci. U S A 1991, 88:3897-3901.
20. Kelly R.P., Sutton R., Ashcroft F.M. Voltage-activated calcium and potassium currents in human pancreatic beta-cells. J. Physiol. 1991, 443:175-192.
21. Kinard T.A., de Vries G., Sherman A., Satin L.S. Modulation of the bursting properties of single mouse pancreatic beta-cells by artificial conductances. Biophys. J. 1999, 76:1423-1435.
22. 2+ concentration in the pancreatic beta cell. Proc. Natl. Acad. Sci. U S A 1996, 93:5161-5165.
23. Magnus G., Keizer J. Model of beta-cell mitochondrial calcium handling and electrical activity. I. Cytoplasmic variables. Am. J. Physiol. 1998, 274:C1158-C1173.
24. Meyer-Hermann M.E. The electrophysiology of the beta-cell based on single transmembrane protein characteristics. Biophys. J. 2007, 93:2952-2968.
25. 2+ oscillation in pancreatic beta-cells. Jpn. J. Physiol. 1999, 49:353-364.
26. + currents and their suppression by phorbol ester in clonal insulin-producing RINm5F cells. Am. J. Physiol. 1986, 251:CC91912-CC91919.
27. Rorsman P., Trube G. Calcium and delayed potassium currents in mouse pancreatic beta-cells under voltage-clamp conditions. J. Physiol. 1986, 374:531-550.
28. Rudy B., Iverson L.E. Ion Channels 1997.
29. 2+]i oscillations due to bursting electrical activity in single pancreatic islets. Pflugers Arch. 1991, 418:417-422.
30. 2+ channel null mice. EMBO J. 2003, 22:3844-3854.
31. Sherman A., Rinzel J., Keizer J. Emergence of organized bursting in clusters of pancreatic beta-cells by channel sharing. Biophys. J. 1988, 54:411-425.
32. +-currents in isolated mouse pancreatic beta-cells. FEBS Lett. 1990, 261:187-190.
33. 2+ currents and bursting mechanisms for the mouse pancreatic beta-cell. J. Membr. Biol. 1992, 127:9-19.
34. Walz W., Boulton A.A., Baker G.B. Patch-Clamp Analysis: Advanced Techniques 2002, Humana Press Inc.
35. Zhang Q., Galvanovskis J., Abdulkader F., Partridge C.J., Gopel S.O., Eliasson L., Rorsman P. Cell coupling in mouse pancreatic beta-cells measured in intact islets of Langerhans. Philos. Transact A Math. Phys. Eng. Sci. 2008, 366:3503-3523.