Mathematical model of pacemaker activity in bursting neurons of snail, Helix pomatia

Journal of Theoretical Biology

Volumn 183, Issue 2, 1996, Pages 207-218

  Berezetskaya, Natalia M ^a   Kharkyanen, Valery N ^a   Kononenko, Nikolai I ^b  

^a INSTITUTE OF PHYSICS   (Ukraine)

^b BOGOMOLETZ INSTITUTE OF PHYSIOLOGY   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

CALCIUM ION;

ARTICLE; CALCIUM CELL LEVEL; CALCIUM CURRENT; HELIX POMATIA; HYPERPOLARIZATION; MATHEMATICAL MODEL; NERVE CELL MEMBRANE CONDUCTANCE; NERVE CELL MEMBRANE POTENTIAL; NONHUMAN; PACEMAKER; POTASSIUM CONDUCTANCE; PRIORITY JOURNAL; SNAIL; SODIUM CONDUCTANCE;

GASTROPODA; HELIX POMATIA;

EID: 0030597335     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1006/jtbi.1996.0214     Document Type: Article

References (34)

1. ADAMS, D. J. & GAGE, P. W. (1979a). Ionic currents in response to membrane depolarization in an Aplysia neurone. J. Physiol. 289, 115-141.
2. ADAMS, D. J. & GAGE, P. W. (1979b). Characteristics of sodium and calcium conductance changes produced by membrane depolarization in an Aplysia neurone. J. Physiol. 289, 143-161.
3. ADAMS, W. B. & LEVITAN, I. B. (1985). Voltage and ion dependences of the slow currents which mediate bursting in Aplysia neuron R15. J. Physiol. 360, 69-93.
4. AHMED, Z. & CONNOR, J. A. (1988). Calcium regulation by and buffer capacity of molluscan neurones during calcium transient. Cell Calcium 9, 57-69.
5. ARVANITAKI, A. & CHALAZONITIS, N. (1967). Electrical properties and temporal organization in oscillatory neurons (Aplysia). In: Neurobiology of Invertebrates (Salanki, J., ed.) pp. 169-199. Budapest: Akademiai Kiado.
6. BARISH M. E. & THOMPSON, S. H. (1983). Calcium buffering and slow recovery kinetics of calcium-dependent outward current in molluscan neurones. J. Physiol. 337, 201-219.
7. CARNEVALE, N. T. (1973). Voltage clamp analysis of the slow oscillations in bursting neurons reveals two underlying current components. Ph.D. dissertation, Duke University, Durham, N.C.
8. 2+ oscillations in excitable cell models. Biol. Cybern. 63, 15-23.
9. ECKERT, R. & LUX, H. D. (1975). A non-inactivating inward current recorded during small depolarizing voltage steps in snail pacemaker neurons. Brain Res. 83, 486-489.
10. ECKERT, R. & LUX, H. D. (1976). A voltage-sensitive persistent calcium conductance in neuronal somata of Helix J. Physiol. 254, 129-151.
11. GAINER, H. (1972a). Effect of experimentally induced diapause on the electrophysiology and protein synthesis patterns of identified molluscan neurons. Brain Res. 39, 387-402.
12. GAINER, H. (1972b). Electrophysiological behavior of an endogenously active neurosecretory cell. Brain Res. 39, 403-418.
13. GOLA, M. (1976). Electrical properties of bursting pacemaker neurones. In: Neurobiology of Invertebrates (Salanki, J. ed.) pp. 381-423. Budapest: Akademiai Kiado.
14. GORMAN, A. L. F. & THOMAS, M. V. (1980). Intracellular calcium accumulation during depolarization in a molluscan neurone. J. Physiol. 308, 259-285.
15. GORMAN, A. L. F., HERMANN, A. & THOMAS, M. V. (1981). Intracellular calcium and the control of neuronal pacemaker activity. Federation Proc. 40, 2233-2239.
16. GORMAN, A. L. F., HERMANN, A. & THOMAS, M. V. (1982). Ionic requirements for membrane oscillations and their dependence on the calcium concentration in a molluscan pace-maker neurone. J. Physiol. 327, 185-217.
17. HAKEN, H. (1978). Synergetics. Berlin: Springer-Verlag.
18. HEYER, C. B. & LUX, H. D. (1976). Properties of a fascilitating calcium current in pace-maker neurones of the snail, Helix pomatia. J. Physiol. 262, 319-348.
19. 2 into neurons of the snail, Helix pomatia. Pflugers Arch. 391, 242-251.
20. KONONENKO, N. I. (1979). Modulation of the endogenous electrical activity of the bursting neuron in the snail Helix pomatia. Neuroscience 4, 2037-2059.
21. KONONENKO, N. I. With Appendix by Kononenko, N. I. & SAFTENKU, E. E. (1993). Mechanisms of membrane potential oscillation in bursting neurons of the snail, Helix pomatia. Comp. Biochem. Physiol. 106A, 135-147.
22. KONONENKO, N. I. (1994a). Mathematical model of pacemaker activity in bursting neurons of snail. In: Proceedings of the IMACS Symposium on Mathematical Modelling (Troch, I. & Breitenecker, F., eds) pp. 315-318. Vienna, Austria.
23. KONONENKO, N. I. (1994b). Dissection of a model for membrane potential oscillations in bursting neuron of snail, Helix pomatia. Comp. Biochem. Physiol. 107A, 323-332.
24. KONONENKO, N. I. & OSIPENKO, O. N. (1986). A study of the connection between the interneuron initiating pacemaker activity in a bursting neuron and the bursting neuron of the snail Helix pomatia. Cell. Mol. Neurobiol. 6, 177-190.
25. KOSTYUK, P. G. & KRISHTAL, O. A. (1977). Separation of sodium and calcium currents in the somatic membrane of mollusc neurones. J. Physiol., Lond. 270, 545-568.
26. KOSTYUK, P. G., KRISHTAL, O. A. & DOROSHENKO, P. A. (1975). Outward currents in isolated snail neurones. I. Inactivation kinetics. Comp. Biochem. Physiol. 51C, 259-263.
27. LEVY, S. (1992). Effect of intracellular injection of inositol trisphosphate on cytosolic calcium and membrane current in Aplysia neurons. J. Neurosci. 12, 2120-2129.
28. MIRONOV, S. L. (1983). Theoretical model of slow-wave membrane potential oscillations in molluscan neurons. Neuroscience 10, 899-905.
29. MÜLLER, T. H., PARTRIDGE, L. D. & SWANDULA, D. (1993). Calcium buffering in bursting Helix pacemaker neurons. Pflugers Arch. 425, 499-505.
30. RINZEL, J. & LEE, Y. S. (1987). Dissection of a model for neuronal parabolic bursting. J. math. Biol. 25, 653-675.
31. SMITH, T. G. JR, BARKER, J. L. & GAINER, H. (1975). Requirements for bursting pacemaker potential activity in molluscan neurones. Nature 253, 450-452.
32. STINNAKRE, J. & TAUC, L. (1973). Calcium influx in active Aplysia neurones detected by injected aequorin. Nature New biology 242, 113-115.
33. STRUMWASSER, F. (1965). The demonstration and manipulation of a circadian rhythm in a single neuron. In: Circadian Clocks (Aschoff J., ed.) pp. 442-465. Amsterdam: North-Holland.
34. WILSON, W. A. & WACHTEL, H. (1974). Negative resistance chacteristic essential for the maintenance of slow oscillations in bursting neurons. Science 186, 932-934.