Impulse pattern in bi-directionally coupled model neurons of different dynamics

BioSystems

Volumn 89, Issue 1-3, 2007, Pages 135-142

  Postnova, S ^a   Wollweber, B ^a   Voigt, K ^a   Braun, H ^a  

^a PHILIPPS UNIVERSITY MARBURG   (Germany)

Author keywords

Bifurcation; Neuronal model; Tonic to bursting transition

Indexed keywords

CHAOTIC DYNAMICS; MODEL; NERVOUS SYSTEM; SYNCHRONY;

ARTICLE; CELL CYCLE; EXPERIMENTAL MODEL; EXPERIMENTAL STUDY; GAP JUNCTION; NERVE CELL; NERVE CONDUCTION; NERVE EXCITABILITY; NERVE STIMULATION; SIMULATION;

EID: 34247634677     PISSN: 03032647     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.biosystems.2006.06.011     Document Type: Article

References (18)

1. Bahar S. Burst-enhanced synchronization in an array of noisy coupled neurons. FNL 4 1 (2004) 87-L96
2. Bahar S., and Moss F. Stochastic phase synchronization in the crayfish mechanoreceptor/photoreceptor system. Chaos 13 1 (2003) 138-144
3. Braun W., Eckhardt B., Braun H.A., and Huber M. Phase-space structure of a thermoreceptor. Phys. Rev. E 62 (2000) 6352-6360
4. Braun H.A., Huber M.T., Anthes N., Voigt K., Neiman A., Pei X., and Moss F. Noise-induced impulse pattern modifications at different dynamical period-one situations in a computer model of temperature encoding. Biosystems 62 (2001) 99-112
5. Braun H.A., Voigt K., and Huber M.T. Oscillations, resonances and noise: basis of flexible neuronal pattern generation. Biosystems 71 (2003) 39-50
6. Cazalis M., Dayanithi G., and Nordmann J.J. The role of patterned burst and interburst interval on the excitation-coupling mechanism in the isolated rat neural lobe. J. Physiol. 369 (1985) 45-60
7. 2 + oscillations in excitable cell models. Biol. Cybern. 63 (1990) 15-23
8. Chay T.R., and Lee Y.S. Bursting, beating, and chaos by two functionally distinct inward current inactivations in excitable cells. Ann. N.Y. Acad. Sci. 591 (1990) 328-350
9. Dewald M., Braun H.A., Huber M.T., Zwingmann D., Roth J., and Voigt K. Interactions of temperature and angiotensin II in paraventricular neurons of rats in vitro. Pflugers Arch. 444 (2002) 117-125
10. Dutton A., and Dyball R.E. Phasic firing enhances vasopressin release from the rat neurohypophysis. J. Physiol. 290 (1979) 433-440
11. Feudel U., Neiman A., Pei X., Wojtenek W., Braun H., Huber M., and Moss F. Homoclinic bifurcation in a Hodgkin-Huxley model of thermally sensitive neurons. Chaos 10 (2000) 231-239
12. Gray C.M., and Singer W. Stimulus-specific neuronal oscillations in orientation columns of cat visual cortex. Proc. Natl. Acad. Sci. U.S.A. 86 (1989) 1698-1702
13. Hodgkin A.L., and Huxley A.F. A quantitative description of membrane current and its application to conduction and excitation in nerve. J. Physiol. 117 (1952) 500-544
14. Huber M.T., Krieg J.C., Dewald M., Voigt K., and Braun H.A. Stimulus sensitivity and neuromodulatory properties of noisy intrinsic neuronal oscillators. Biosystems 48 (1998) 95-104
15. Krahe R., and Gabbiani F. Burst firing in sensory systems. Nat. Rev. Neurosci. 5 (2004) 13-23
16. McCormick D.A. Are thalamocortical rhythms the Rosetta stone of a subset of neurological disorders?. Nat. Med. 5 (1999) 1349-1351
17. Shilnikov A., Calabrese R.L., and Cymbalyuk G. Mechanism of bistability: tonic spiking and bursting in a neuron model. Phys. Rev. E: Stat. Nonlin. Soft Matter Phys. 71 (2005) 056214
18. Sosnovtseva O.V., Postnova S.D., Mosekilde E., and Braun H.A. Inter-pattern transitions in a noisy bursting cell. FNL 4 3 (2004) L521-L533