Jump-diffusion processes as models for neuronal activity

BioSystems

Volumn 40, Issue 1-2, 1997, Pages 75-82

  Giraudo, Maria Teresa ^a   Sacerdote, Laura ^a  

^a UNIVERSITY OF TURIN   (Italy)

Author keywords

First passage time; Moments; Neuronal modelling

Indexed keywords

CELL ACTIVITY; CONFERENCE PAPER; DIFFUSION; NERVE CELL; NERVE CELL MEMBRANE POTENTIAL; SPIKE; STATISTICAL MODEL; TIME;

EID: 0031060126     PISSN: 03032647     EISSN: None     Source Type: Journal    
DOI: 10.1016/0303-2647(96)01632-2     Document Type: Conference Paper

References (9)

1. Giorno, V, Lánský, P., Nobile, A.G. and Ricciardi, L.M., 1988, Diffusion approximation and first-passage-time problem for a model neuron. III. A birth-and-death process approach. Biol. Cybern. 58, 387-404.
2. Giraudo, M.T. and Sacerdote, L., 1996, Some remarks on first-passage-time for jump-diffusion processes. Cybernetics and Systems '96. R. Trappl, ed. pp. 518-523.
3. Hanson, F.B. and Tuckwell, H.C., 1983, Diffusion approximation for neuronal activity including synaptic reversal potential. J. Theor. Neurobiol. 2, 127-153.
4. Lánský, P., Sacerdote, L. and Tomassetti, F., 1995, On the comparison of Feller and Ornstein-Uhlenbeck models for neural activity. Biol. Cybern. 73, 457-465
5. Musila, M. and Lánský, P., 1991, Generalized Stein's model for anatomically complex neurons. BioSystems 25, 179-191.
6. Pribram, K.H. (ed.), 1994, Origins: Brain and self-organization (Lawrence Erlbaum, Hillsdale).
7. Stein, R.B., 1965, A theoretical analysis of neuronal variability. Biophys. J. 5, 173-193.
8. Tuckwell, H.C., 1976, On the first-exit time problem for temporally homogeneous Markov processes. J. Appl. Prob. 13, 39-48.
9. Tuckwell, H.C., Wan, F.Y.M. and Wong, Y.S., 1984, The interspike interval of a cable model neuron with white noise input. Biol. Cybern. 49, 155-167.