Bursting synchronization dynamics of pancreatic β-cells with electrical and chemical coupling

Cognitive Neurodynamics

Volumn 7, Issue 3, 2013, Pages 197-212

  Meng, Pan ^a   Wang, Qingyun ^b   Lu, Qishao ^b  

^a GUANGDONG PHARMACEUTICAL UNIVERSITY   (China)

^b BEIHANG UNIVERSITY   (China)

Author keywords

Bifurcation; Bursting; Continuous spiking; Coupled cells; Fast slow dynamics analysis

Indexed keywords

ARTICLE; CELL COUNT; CELL FUNCTION; CELL SYNCHRONIZATION; GAP JUNCTION; HYSTERESIS; OSCILLATION; PANCREAS ISLET BETA CELL; STEADY STATE;

EID: 84878105744     PISSN: 18714080     EISSN: 18714099     Source Type: Journal    
DOI: 10.1007/s11571-012-9226-9     Document Type: Article

References (37)

1. Arenas A, Diaz-Guilera A, Kurths J, Moreno Y, Zhou CS (2008) Synchronization in complex networks. Phys Rep 469(3):93-153
2. Ashcroft FM, Rorsman P (1989) Electrophysiology of the pancreatic β-cell. Prog Biophys Mol Biol 54:87-143
3. Bergsten P (2000) Pathophysiology of impaired pulsatile in insulin release. Diabetes Metab Res Rev 16:179-191
4. Calabrese A, Bosco D, Soria B, Wollheim CB, Herrera PL, Meda P (2000) Junctional communication of pancreatic β-cells contributes to the control of insulin secretion and glucose tolerance. J Clin Invest 106:235-243
5. Cunningham BA, Deeney JT, Bliss CR, Corkey BE, Tornheim K (1996) Glucose-induced oscillatory insulin secretion in perifused rat pancreatic and clonal β-cells (HIT). Am J Physiol 271:702-710
6. De Vries G, Sherman A (1998) Diffusively coupled bursters: effects of cell heterogeneity. Bull Math Biol 60:1167-1199
7. De Vries G, Sherman A (2000) Channel sharing in pancreatic β-cells revisited: enhancement of emergent bursting by noise. J Theor Biol 207:513-530
8. Dean PM, Mathews EK (1970) Glucose induced-electrical activity in pancreatic islet cells. J Physiol 210(2):255-264
9. Eddlestone GT, Goncalves A, Bangham JA, Rojas E (1984) Electrical coupling between cells in islets of Langerhans from mouse. J Memb Biol 77:1-14
10. Gomez-Gardenes J, Moreno Y, Arenas A (2007) Paths to synchronization on complex networks. Phys Rev Lett 98:034101
11. Izhikevich EM (2000) Neural excitability, spiking and bursting. Int J Bifurcat Chaos 10:1171-1266
12. Kennedy RT, Kauri LM, Dahlgren GM, Jung SK (2002) Metabolic oscillations in β-cells. Diabetes 51(Suppl 1):52-61
13. Krasimira TA, Zimliki CharlesL, Bertram R, Sherman A (2006) Diffusion of calcium and metabolites in pancreatic islets: killing oscillations with a pitchfork. J Biophys 90:3434-3446
14. Marek M, Stuchl I (1975) Synchronization in two interacting oscillatory systems. Biophys Chem 3(3):241-248
15. Meissner HP (1976) Electrophysiological evidence for coupling between β-cells of pancreatic islets. Nature 262:502-504
16. Orci L, Malaisse-Lagae F, Amherdt M, Ravazzola M, Weisswange A, Dobbs R, Perrelet A, Unger R (1975) Cell contacts in human islets of Langerhans. J Clin Endocrinol Metab 41:841-844
17. Perc M, Marhl M (2003) Different types of bursting calcium oscillations in non-excitable cells. Chaos Solitons Fractals 18:759-773
18. Perc M, Marhl M (2004a) Local dissipation and coupling properties of cellular oscillators: a case study on calcium oscillations. Bioelectrochemistry 62:1-10
19. Perc M, Marhl M (2004b) Synchronization of regular and chaotic oscillations: the role of local divergence and the slow passage effect. Int J Bifurcat Chaos 14:2735-2751
20. 2+ or metabolism in normal mouse islets. Diabetes 48(12):2374-2382
21. Rinzel J (1987) A formal classification of bursting mechanisms in excitable systems. In: Teramot E, Yamaguti M (eds) Mathematical topics in population biology, morphogenesis and neurosciences, vol 71. Lecture Notes in Biomathematics. Springer, Berlin, pp 267-281
22. Rorsman P, Berggren PO, Bokvist K, Ericson H, Mohler H, Ostenson CG, Smith PA (1989) Glucose-inhibition of glucagon secretion involves activation of GABAA-receptor chloride channels. Nature 341:233-236
23. Rubin J, Terman D (2002) Geometric singular perturbation analysis of neuronal dynamics. In: Fiedler B (ed) Handbook of dynamical systems, vol 2. Elsevier, pp 93-146
24. Salehi A, Qader SS, Grapengiesser E, Hellman B (2005) Inhibition of purinoceptors amplifies glucose-stimulated insulin release with removal of its pulsatility. Diabetes 54:2126-2131
25. Sherman A (1994) Anti-phase, asymmetric and aperiodic oscillations in excitable cells - I. Coupled bursters. Bull Math Biol 56:811-835
26. Sherman A, Rinzel J (1991) Model for synchronization of pancreatic beta-cells by gap junctions. J Biophys 59:547-559
27. Sherman A, Rinzel J (1992) Rhythmogenic effects of weak electrotonic coupling in neuronal models. Proc Natl Acad Sci USA 89:2471-2474
28. Sherman A, Rinzel J, Keizer J (1988) Emergence of organized bursting in clusters of pancreatic β-cells by channel sharing. J Biophys 54:411-425
29. Sun XJ, Lei JZ, Perc M, Kurths J, Chen GR (2011) Burst synchronization transitions in a neuronal network of subnetworks. Chaos 21:016110
30. Terman D (1992) The transition from bursting to continuous spiking in excitable models. J Nonlinear Sci 2:135-182
31. Valdeolmillos M, Gomis A, Sanchez-Andres JV (1996) In vivo synchronous membrane potential oscillations in mouse pancreatic β-cells: lack of co-ordination between islets. J Physiol 493:9-18
32. Volman V, Perc M, Bazhenov M (2011) Gap junctions and epileptic seizures - two sides of the same coin? PLoS One 6:e20572
33. Wang R, Jiao X (2006) A stochastic nonlinear evolution model and neural coding on neuronal population possessing variable coupling intensity in spontaneous behavior. Neurocomputing 69(7-9):778-785
34. Wang R, Zhang Z (2003) Nonlinear stochastic models of neurons activities. Neurocomputing 51:401-411
35. Wang QY, Chen GR, Perc M (2011) Synchronous bursts on scale-free neuronal networks with attractive and repulsive coupling. PLoS One 6(1):e15851
36. Zhang Q, Galvanovskis J, Abdulkader F, Partridge CJ, Göpel S, Eliasson L, Rorsman P (2008) Cell coupling in mouse pancreatic β-cells measured in intact islets of Langerhans. Phil Trans R Soc A 366:3503-3523
37. Zhang X, Wang R, Zhang Z, Qu J, Cao J, Jiao X (2010) Dynamic phase synchronization characteristics of variable high-order coupled neuronal oscillator population. Neurocomputing 73:2665-2670