Synchrony due to parametric averaging in neurons coupled by a shared signal

Physica D: Nonlinear Phenomena

Volumn 238, Issue 7, 2009, Pages 771-781

  Khadra, Anmar ^a  

^a HUMBOLDT UNIVERSITY   (Germany)

Author keywords

Averaged model; Common pool; GnRH neurons; Phase; Reduction; Synchrony

Indexed keywords

PROTEINS; REDUCTION;

AUTOCRINE REGULATION; AVERAGED MODELS; BIFURCATION DIAGRAM; COMMON POOL; GONADOTROPIN-RELEASING HORMONE; HETEROGENEOUS POPULATIONS; PHASE; SYNCHRONY;

NEURONS;

EID: 61749098271     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2009.01.009     Document Type: Article

References (32)

1. Krsmanovic L.Z., Mores N., Navarro C.E., Arora K.K., and Catt K.J. An agonist-induced switch in G protein coupling of the gonadotropin-releasing hormone receptor regulates pulsatile neuropeptide secretion. Proc. Natl. Acad. Sci. 100 (2003) 2969-2974
2. Knobil E. On the control of gonadotropin in the rhesus monkey. Rec. Prog. Horm. Res. 36 (1980) 53-88
3. Moenter S.M., Brand R.M., Midgley A.R., and Karsch F.J. Dynamics of gonadotropin-releasing hormone release during a pulse. Endocrinology 130 (1992) 503-510
4. Woller M.J., Nicholas E., Herdendorf T., and Tutton D. Release of luteinizing hormone releasing hormone from enzymatically disperse rat hypothalamic explants is pulsatile. Biol. Reprod. 59 (1998) 587-590
5. Terasawa E. Luteinizing hormone-releasing hormone (LHRH) neurons: Mechanism of pulsatile LHRH release. Vit. Horm. 63 (2001) 91-129
6. Richter T.A., and Terasawa E. Neural mechanisms underlying the pubertal increase in LHRH release in the rhesus monkey. Trends Endocrinol. Metab. 12 (2001) 353-359
7. Krey L.C., Butler W.R., and Knobil E. Surgical disconnection of the medial basal hypothalamus and pituitary function in the rhesus monkey. I. Gonadotropin secretion. Endocrinology 96 (1975) 1073-1087
8. Plant T.M., Nakai Y., Belchetz P., Keogh E., and Knobil E. The sites of action of estradiol and phentolamine in the inhibition of the pulsatile circhoral discharges of LH in the rhesus monkey (Macaca mulatta). Endocrinology 102 (1978) 1015-1018
9. O'Byrne K.T., Thalabard J.C., Grosser P.M., Wilson R.C., Williams C.L., Chen M.D., Ladendorf D., Hotchkiss J., and Knobil E. Radiotelemetric monitoring of hypothalamic gonadotropin-releasing hormone pulse generator activity throughout the menstrual cycle of the rhesus monkey. Endocrinology 129 (1991) 1207-1214
10. Woller M.J., Meyer S., Ada-Nguema A., and Waechter-Brulla D. Dissecting autocrine effects on pulsatile release of gonadotropin-releasing hormone in cultured rat hypothalamic tissue. Exp. Biol. Med. 229 (2003) 56-64
11. Goldsmith P.C., Lamberts R., and Brezina L.R. Gonadotropin-releasing hormone neurons and pathways in the primate hypothalamus and forebrain. In: Norman R.L. (Ed). Aspects of Reproduction (1983), Academic Press, New York 7-45
12. Martínez G., Escalera d.l., Choi A.L.H., and Weiner R.I. Generation and synchronization of gonadotropin-releasing hormone (GnRH) pulses: Intrinsic properties of the GT1-1 GnRH neuronal cell line. Proc. Natl. Acad. Sci. 89 (1992) 1852-1855
13. Terasawa E., Keen K.L., Mogi K., and Claude P. Pulsatile release of luteinizing hormone-releasing hormone (LHRH) in cultured LHRH neurons derived from the embryonic olfactory placode of the rhesus monkey. Endocrinology 140 (1999) 1432-1441
14. Krsmanovic L.Z., Martinez-Fuentes A.J., Arora K.K., Mores N., Navarro C.E., Chen H.C., Stojilković S.S., and Catt K.J. Autocrine regulation of gonadotropin-releasing hormone secretion in cultured hypothalamic neurons. Endocrinology 140 (1999) 1423-1431
15. Krsmanovic L.Z., Stojilković S.S., Mertz L.M., Tomic M., and Catt K.J. Expression of gonadotropin-releasing hormone receptors and autocrine regulation of neuropeptide release in immortalized hypothalamic neurons. Proc. Natl. Acad. Sci. 90 (1993) 3908-3912
16. Xu C., Xu X.Z., Nunemaker C.S., and Moenter S.M. Dose-dependent switch in response of gonadotropin-releasing hormone (GnRH) neurons to GnRH mediated through the type I GnRH receptor. Endocrinology 145 (2004) 728-735
17. Hyyppa M., Motta M., and Martini L. 'Ultrashort' feedback control of follicle-stimulating hormone-releasing factor secretion. Neuroendoc. 7 (1971) 227-235
18. Depaolo L.V., King R.A., and Carrillo A.J. In vivo and in vitro examination of an autoregulatory mechanism for luteinizing hormone releasing hormone. Endocrinology 120 (1987) 272-279
19. Valenca M.M., Johnston C.A., Ching M., and Negro-Villar A. Evidence for a negative ultrashort loop feedback mechanism operating on the luteinizing hormone releasing hormone neuronal system. Endocrinology 121 (1987) 2256-2259
20. Khadra A., and Li Y.X. A model for the pulsatile secretion of gonadotropin-releasing hormone from synchronized hypothalamic neurons. Biophys. J. 91 (2006) 74-83
21. Li Y.X., and Khadra A. Robust synchrony and rhythmogenesis in endocrine neurons via autocrine regulations in vitro and in vivo. Bull. Math. Biol. 70 (2008) 2103-2125
22. Kuramoto Y. Chemical Oscillations Waves and Turbulence (1984), Springer-Verlag, Berlin
23. Strogatz S.H. From kuramoto to crawford: Exploring the onset of synchronization in populations of coupled oscillators. Physica D 143 (2000) 1-20
24. Wagemakers A., Buldú J.M., García-Ojalvo J., and Sanjuán M.A.F. Synchronization of electronic genetic networks. Chaos 16 (2006) 013127 1-8
25. Kopell N., Ermentrout G.B., Whittington M.A., and Traub R.D. Gamma rhythms and beta rhythms have different synchronization properties. Proc. Natl. Acad. Sci. 97 (2000) 1867-1872
26. Li Y.X. Clustering in neural networks with heterogeneous and asymmetrical coupling strengths. Physica D 180 (2003) 210-234
27. Longtin A., and St-Hilaire M. Encoding carrier amplitude modulations via stochastic phase synchronization. Int. J. Bifurcation Chaos 10 (2000) 1-16
28. Rosenblum M.G., Pikovsky A.S., and Kurths J. Phase synchronization of chaotic oscillators. Phys. Rev. Lett. 76 (1996) 1804-1807
29. Pandey J.N. The Hilbert Transform of Schwartz Distributions and Applications (1996), John Wiley & Sons, New York
30. Li Y.X., Halloy J., Martiel J.L., and Goldbeter A. Suppression of chaos and other dynamical transitions induced by intercellular coupling in a model for cyclic AMP signaling in dictyostelium cells. Chaos 2 (1992) 501-512
31. Manor Y., Rinzel J., Segev I., and Yarom Y. Low amplitude oscillations in the inferior olive: A model based on electrical coupling of neurons with heterogeneous channel density. J. Neurophys. 77 (1997) 2736-2752
32. Cartwright J.H.E. Emergent global oscillations in heterogeneous excitable media: The example of pancreatic β cells. Phys. Rev. E 62 (2000) 1149-1154