Detection of nonlinearity in the neural activity

Nonlinear Analysis, Theory, Methods and Applications

Volumn 30, Issue 3, 1997, Pages 1625-1632

  Chillemi, Santi ^a   Barbi, Michele ^a   Di Garbo, Angelo ^a  

^a CNR Consiglio Nazionale delle Ricerche   (Italy)

Author keywords

Biophysical models; Deterministic and stochastic phase locking; Low dimensional deterministic chaos; Neural activity; Neural networks; Nonlinear dynamics; Nonlinear forecasting methods; Sinusoidal forcing; Surrogate data

Indexed keywords

EID: 0041630574     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(96)00207-6     Document Type: Article

References (16)

1. ASCOLI C., BARBI M., CHILLEMI S. & PETRACCHI D., Phase-locked responses in the Limulus lateral eye. Theoretical and experimental investigation. Biophys. J. 19, 219-240 (1977).
2. BARBI M., CHILLEMI S., GEPPETTI L. & PETRACCHI D., Neural encoding in invertebrate neurons. Il Nuovo Cimento D 17, 725-731 (1995).
3. CARROLL T.L., Synchronization and complex dynamics in pulse-coupled circuit models of neurons. Biol. Cybern. 73, 553-559 (1995).
4. CATSIGERAS E. & BUDELLI R., Limit cycles of a bineuronal network model. Physica D 56, 235-252 (1992).
5. CHANG T., SCHIFF S.J., SAUER T., GOSSARD J. & BURKE R.E., Stochastic versus deterministic variability in simple neuronal circuits: I. Monosynaptic spinal cord reflexes. Biophys. J. 67, 671-683 (1994).
6. CHILLEMI S., BARBI M. & DI GARBO A., Dynamics of the neural discharge in snail neurons. BioSystems, in press (1996).
7. GOMEZ L. & BUDELLI R., II. Leaky integrator pacemaker models. Biol. Cybern. 74, 131-137 (1996).
8. KEENER J.P., HOPPENSTEADT F.C. & RINZEL J., Integrate-and-fire models of nerve membrane response to oscillatory input. SIAM J. Appl. Math. 41, 503-517 (1981).
9. LONGTIN A., Nonlinear forecasting of spike trains from sensory neurons. Int. J. Bifurcation and Chaos 3, 651-661 (1993a).
10. LONGTIN A., Stochastic resonance in neuron models. J. Stat. Phys. 70, 309-327 (1993b).
11. LONGTIN A., Mechanisms of stochastic phase-locking. Chaos 5, 209-215 (1995).
12. MEES A., AIHARA K., ADACHI M., JUDD K., IKEGUCHI T. & MATSUMOTO G., Deterministic prediction and chaos in squid axon response. Physics Letters A 169, 41-45 (1992).
13. SAUER T., Reconstruction of dynamical systems from interspike intervals. Phys. Rev. Lett. 72, 3811-3814 (1994).
14. SEGUNDO J. P., ALTSHULER E., STIBER M. & GARFINKEL A., Periodic inhibition of living pacemaker neurons (I) locked, intermittent, messy, and hopping behaviors. Int. J. Bifurcation and Chaos 1, 549-581 (1991).
15. SUGIHARA G. & MAY R. M., Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series. Nature 344, 734-741 (1990).
16. THEILER J., GALDRIKIAN B., LONGTIN A., EUBANK S. & FARMER J. D., Testing for nonlinearity in time series: the method of surrogate data. Physica D 58, 77-94 (1992).