Oprisan SA. (2017). Predicting the Existence and Stability of Phase-Locked Mode in Neural Networks Using Generalized Phase-Resetting Curve. Neural computation. 29 [PubMed]

See more from authors: Oprisan SA

References and models cited by this paper

Barnes CA, Suster MS, Shen J, McNaughton BL. (1997). Multistability of cognitive maps in the hippocampus of old rats. Nature. 388 [PubMed]

Brown E, Moehlis J, Holmes P. (2004). On the phase reduction and response dynamics of neural oscillator populations. Neural computation. 16 [PubMed]

Calvo O, Chialvo DR, EguĂ­luz VM, Mirasso C, Toral R. (2004). Anticipated synchronization: a metaphorical linear view. Chaos (Woodbury, N.Y.). 14 [PubMed]

Canavier CC, Oprisan SA. (2001). Stability analysis of rings of pulse-coupled oscillators: The effect of phase-resetting in the second cycle after the pulse is important at synchrony and for long pulses Differential Equations And Dynamical Systems. 9

Canavier CC, Oprisan SA. (2003). Stability analysis of entrainment by two periodic inputs with a fixed delay Neurocomputing. 52

Canavier CC, Oprisan SA. (2005). Stability criterion for a two-neuron reciprocally coupled network based on the phase and burst resetting curves Neurocomputing, 65-66.

Ciszak M, Calvo O, Masoller C, Mirasso CR, Toral R. (2003). Anticipating the response of excitable systems driven by random forcing. Physical review letters. 90 [PubMed]

Copelli M, Mirasso CR, Carelli PV, Matias FS. (2011). Anticipated synchronization in a biologically plausible model of neuronal motifs Phys Rev E. 84

Destexhe A, Mainen ZF, Sejnowski TJ. (1994). Synthesis of models for excitable membranes, synaptic transmission and neuromodulation using a common kinetic formalism. Journal of computational neuroscience. 1 [PubMed]

Eken T, Hultborn H, Kiehn O. (1989). Possible functions of transmitter-controlled plateau potentials in alpha motoneurones. Progress in brain research. 80 [PubMed]

Ermentrout B. (1996). Type I membranes, phase resetting curves, and synchrony. Neural computation. 8 [PubMed]

Ermentrout B. (2002). Simulating, analyzing, and animating dynamical systems: a guide to XPPAUT for researchers and students.

Ermentrout GB, Glass L, Oldeman BE. (2012). The shape of phase-resetting curves in oscillators with a saddle node on an invariant circle bifurcation. Neural computation. 24 [PubMed]

Fitzhugh R. (1955). Mathematical models of threshold phenomena in the nerve membrane Bullmath Biophys. 17

Gray CM. (1994). Synchronous oscillations in neuronal systems: mechanisms and functions. Journal of computational neuroscience. 1 [PubMed]

Izhikevich EM. (2000). Neural excitability, spiking and bursting Int J Bifurcat Chaos Appl Sci Eng. 10

Kazantsev VB, Pisarchik AN, Simonov AY, Gordleeva SY. (2014). Synchronization with an arbitrary phase shift in a pair of synaptically coupled neural oscillators JETP Letters. 98(10)

Laurent G. (1996). Dynamical representation of odors by oscillating and evolving neural assemblies. Trends in neurosciences. 19 [PubMed]

Lavin A, Oprisan SA, Lynn PE, Tompa T. (2015). Low-dimensional attractor for neural activity from local field potentials in optogenetic mice Front Comput. 8

Lisman JE. (1997). Bursts as a unit of neural information: making unreliable synapses reliable. Trends in neurosciences. 20 [PubMed]

Marder E, Calabrese RL. (1996). Principles of rhythmic motor pattern generation. Physiological reviews. 76 [PubMed]

Matias FS. (2014). Anticipated synchronization in neuronal circuits Phd Thesis, Universidade Federal De Pernambuco, Universitat De Les Illes Balears.

Matias FS, Carelli PV, Mirasso CR, Copelli M. (2015). Self-Organized Near-Zero-Lag Synchronization Induced by Spike-Timing Dependent Plasticity in Cortical Populations. PloS one. 10 [PubMed]

Matias FS et al. (2014). Modeling positive Granger causality and negative phase lag between cortical areas. NeuroImage. 99 [PubMed]

McCormick DA, Bal T. (1997). Sleep and arousal: thalamocortical mechanisms. Annual review of neuroscience. 20 [PubMed]

Morris C, Lecar H. (1981). Voltage oscillations in the barnacle giant muscle fiber. Biophysical journal. 35 [PubMed]

Nadim F, Bose A, Prinz AA, Zhao S. (2012). A PRC description of how inhibitory feedback promotes oscillation stability Phase Response Curves In Neuroscience. 6

Nagumo J, Arimoto S, Yoshizawa S. (1962). An Active Pulse Transmission Line Simulating Nerve Axon Proceedings of the IRE. 50

Netoff TI, Acker CD, Bettencourt JC, White JA. (2005). Beyond two-cell networks: experimental measurement of neuronal responses to multiple synaptic inputs. Journal of computational neuroscience. 18 [PubMed]

Okamoto H, Fukai T. (2000). A model for neural representation of temporal duration. Bio Systems. 55 [PubMed]

Oprisan SA. (2009). Stability of synchronous oscillations in a periodic network International Journal Of Neuroscience. 4

Oprisan SA. (2010). Existence and stability criteria for phase-locked modes in ring neural networks based on the spike time resetting curve method. Journal of theoretical biology. 262 [PubMed]

Oprisan SA. (2013). All phase resetting curves are bimodal, but some are more bimodal than others ISRN Computational Biology. 2013

Oprisan SA. (2014a). Local linear approximation of the Jacobian matrix better captures phase resetting of neural limit cycle oscillators Neural Computation. 26

Oprisan SA. (2014b). Multistability of coupled neuronal oscillators Encyclopedia of computational neuroscience.

Oprisan SA, Boutan C. (2008). Prediction of entrainment and 1:1 phase-locked modes in two-neuron networks based on the phase resetting curve method International Journal Of Neuroscience. 6

Oprisan SA, Buhusi CV. (2011). Modeling pharmacological clock and memory patterns of interval timing in a striatal beat-frequency model with realistic, noisy neurons Frontiers In Integrative Neuroscience. 52

Oprisan SA, Buhusi CV. (2013). How noise contributes to time-scale invariance of interval timing. Physical review. E, Statistical, nonlinear, and soft matter physics. 87 [PubMed]

Oprisan SA, Buhusi CV. (2013). Why noise is useful in functional and neural mechanisms of interval timing? BMC neuroscience. 14 [PubMed]

Oprisan SA, Buhusi CV. (2013). Time-scale invariance as an emergent property in a perceptron with realistic, noisy neurons Behavioral Processes. 95

Oprisan SA, Buhusi CV. (2014). What is all the noise about in interval timing? Philosophical Transactions of the Royal Society B: Biological Sciences. 369

Oprisan SA, Canavier CC. (2002). The influence of limit cycle topology on the phase resetting curve. Neural computation. 14 [PubMed]

Oprisan SA, Dix S, Buhusi CV. (2014). Phase resetting and its implications for interval timing with intruders. Behavioural processes. 101 [PubMed]

Oprisan SA, Prinz AA, Canavier CC. (2004). Phase resetting and phase locking in hybrid circuits of one model and one biological neuron. Biophysical journal. 87 [PubMed]

Oprisan SA, Thirumalai V, Canavier CC. (2003). Dynamics from a time series: can we extract the phase resetting curve from a time series? Biophysical journal. 84 [PubMed]

PERKEL DH, SCHULMAN JH, BULLOCK TH, MOORE GP, SEGUNDO JP. (1964). PACEMAKER NEURONS: EFFECTS OF REGULARLY SPACED SYNAPTIC INPUT. Science (New York, N.Y.). 145 [PubMed]

Pervouchine DD et al. (2006). Low-dimensional maps encoding dynamics in entorhinal cortex and hippocampus. Neural computation. 18 [PubMed]

Plant RE, Kim M. (1976). Mathematical description of a bursting pacemaker neuron by a modification of the Hodgkin-Huxley equations. Biophysical journal. 16 [PubMed]

Prinz AA, Oprisan SA. (2012a). Existence and stability criteria for phase-locked modes in ring networks using phase-resetting curves and spike time resetting curves Phase Response Curves In Neuroscience. 6

Prinz AA, Oprisan SA. (2012b). A geometric approach to phase resetting estimation based on mapping temporal to geometric phase Phase Response Curves In Neuroscience. 6

Refinetti R. (2005). Circadian physiology.

Romei V, Gross J, Thut G. (2012). Sounds reset rhythms of visual cortex and corresponding human visual perception. Current biology : CB. 22 [PubMed]

Sakurai A, Gunaratne CA, Katz PS. (2014). Two interconnected kernels of reciprocally inhibitory interneurons underlie alternating left-right swim motor pattern generation in the mollusk Melibe leonina. Journal of neurophysiology. 112 [PubMed]

Sausedo-Solorio JM, Pisarchik AN. (2014). Synchronization of map-based neurons with memory and synaptic delay Physics Letters A. 378

Selverston AI. (1985). Model Neural Networks and Behavior.

Shilnikov A, Alacam D. (2015). Making a swim central pattern generator out of latent parabolic bursters Int J Bifurcation Chaos. 25

Shilnikov A, Gordon R, Belykh I. (2008). Polyrhythmic synchronization in bursting networking motifs. Chaos (Woodbury, N.Y.). 18 [PubMed]

Shilnikov AL, Schwabedal JTC, Knapper DE. (2016). Qualitative and quantitative stability analysis of penta-rhythmic circuits Nonlinearity. 29

Skinner FK, Bazzazi H, Campbell SA. (2005). Two-cell to N-cell heterogeneous, inhibitory networks: precise linking of multistable and coherent properties. Journal of computational neuroscience. 18 [PubMed]

Somers D, Kopell N. (1993). Rapid synchronization through fast threshold modulation. Biological cybernetics. 68 [PubMed]

Stepp N, Turvey MT. (2010). On Strong Anticipation. Cognitive systems research. 11 [PubMed]

Strogatz SH, Mirollo RE. (1990). Synchronization of pulse-coupled biological oscillators. Siam J Appl Math. 6

Vetter G, Haynes JD, Pfaff S. (2000). Evidence for multistability in the visual perception of pigeons. Vision research. 40 [PubMed]

Vollmer MK, Vanderweyen CD, Tuck DR, Oprison SA. (2015). Predicting phase resetting due to multiple stimuli Journal Of The South Carolina Academy Of Science. 13(5)

Voss HU. (2000). Anticipating chaotic synchronization Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 61 [PubMed]

Winfree AT. (1989). Electrical instability in cardiac muscle: phase singularities and rotors. Journal of theoretical biology. 138 [PubMed]

Woodward DJ, Kirillov AB, Myre CD. (1993). Bistability, switches and working memory in a two-neuron inhibitory-feedback model Biol Cybern. 68

Zilles K, Stephan KE, Kotter R. (2000). Coordinate-independent mapping of structural and functional data by objective relational transformation (ORT) Philos Trans R Soc Lond B Biol Sci. 355

de la Casa MA, de la Rubia FJ, Ivanov PCh. (2007). Patterns of spiral wave attenuation by low-frequency periodic planar fronts. Chaos (Woodbury, N.Y.). 17 [PubMed]

References and models that cite this paper
This website requires cookies and limited processing of your personal data in order to function. By continuing to browse or otherwise use this site, you are agreeing to this use. See our Privacy policy and how to cite and terms of use.