Sajiya Jalil, Igor Belykh, Andrey Shilnikov. Phys Rev E Stat Nonlin Soft Matter Phys 2010
Times Cited: 23
Times Cited: 23
Times Cited
Times Co-cited
Similarity
When weak inhibition synchronizes strongly desynchronizing networks of bursting neurons.
Igor Belykh, Andrey Shilnikov. Phys Rev Lett 2008
Igor Belykh, Andrey Shilnikov. Phys Rev Lett 2008
65
When inhibition not excitation synchronizes neural firing.
C Van Vreeswijk, L F Abbott, G B Ermentrout. J Comput Neurosci 1994
C Van Vreeswijk, L F Abbott, G B Ermentrout. J Comput Neurosci 1994
47
Spikes matter for phase-locked bursting in inhibitory neurons.
Sajiya Jalil, Igor Belykh, Andrey Shilnikov. Phys Rev E Stat Nonlin Soft Matter Phys 2012
Sajiya Jalil, Igor Belykh, Andrey Shilnikov. Phys Rev E Stat Nonlin Soft Matter Phys 2012
52
34
Polyrhythmic synchronization in bursting networking motifs.
Andrey Shilnikov, René Gordon, Igor Belykh. Chaos 2008
Andrey Shilnikov, René Gordon, Igor Belykh. Chaos 2008
34
Mechanisms for oscillation and frequency control in reciprocally inhibitory model neural networks.
F K Skinner, N Kopell, E Marder. J Comput Neurosci 1994
F K Skinner, N Kopell, E Marder. J Comput Neurosci 1994
34
Synchronization of bursting neurons: what matters in the network topology.
Igor Belykh, Enno de Lange, Martin Hasler. Phys Rev Lett 2005
Igor Belykh, Enno de Lange, Martin Hasler. Phys Rev Lett 2005
30
Inhibitory synchronization of bursting in biological neurons: dependence on synaptic time constant.
Robert C Elson, Allen I Selverston, Henry D I Abarbanel, Mikhail I Rabinovich. J Neurophysiol 2002
Robert C Elson, Allen I Selverston, Henry D I Abarbanel, Mikhail I Rabinovich. J Neurophysiol 2002
30
Order parameter for bursting polyrhythms in multifunctional central pattern generators.
Jeremy Wojcik, Robert Clewley, Andrey Shilnikov. Phys Rev E Stat Nonlin Soft Matter Phys 2011
Jeremy Wojcik, Robert Clewley, Andrey Shilnikov. Phys Rev E Stat Nonlin Soft Matter Phys 2011
38
Transition between tonic spiking and bursting in a neuron model via the blue-sky catastrophe.
Andrey Shilnikov, Gennady Cymbalyuk. Phys Rev Lett 2005
Andrey Shilnikov, Gennady Cymbalyuk. Phys Rev Lett 2005
26
Geometric analysis of population rhythms in synaptically coupled neuronal networks.
J Rubin, D Terman. Neural Comput 2000
J Rubin, D Terman. Neural Comput 2000
26
Anti-phase, asymmetric and aperiodic oscillations in excitable cells--I. Coupled bursters.
A Sherman. Bull Math Biol 1994
A Sherman. Bull Math Biol 1994
21
Enhancement of neural synchrony by time delay.
Mukeshwar Dhamala, Viktor K Jirsa, Mingzhou Ding. Phys Rev Lett 2004
Mukeshwar Dhamala, Viktor K Jirsa, Mingzhou Ding. Phys Rev Lett 2004
21
Transitions to synchrony in coupled bursting neurons.
Mukeshwar Dhamala, Viktor K Jirsa, Mingzhou Ding. Phys Rev Lett 2004
Mukeshwar Dhamala, Viktor K Jirsa, Mingzhou Ding. Phys Rev Lett 2004
21
Chemical and electrical synapses perform complementary roles in the synchronization of interneuronal networks.
Nancy Kopell, Bard Ermentrout. Proc Natl Acad Sci U S A 2004
Nancy Kopell, Bard Ermentrout. Proc Natl Acad Sci U S A 2004
21
21
Homology and homoplasy of swimming behaviors and neural circuits in the Nudipleura (Mollusca, Gastropoda, Opisthobranchia).
James M Newcomb, Akira Sakurai, Joshua L Lillvis, Charuni A Gunaratne, Paul S Katz. Proc Natl Acad Sci U S A 2012
James M Newcomb, Akira Sakurai, Joshua L Lillvis, Charuni A Gunaratne, Paul S Katz. Proc Natl Acad Sci U S A 2012
21
Topological and phenomenological classification of bursting oscillations.
R Bertram, M J Butte, T Kiemel, A Sherman. Bull Math Biol 1995
R Bertram, M J Butte, T Kiemel, A Sherman. Bull Math Biol 1995
17
Mechanism of bistability: tonic spiking and bursting in a neuron model.
Andrey Shilnikov, Ronald L Calabrese, Gennady Cymbalyuk. Phys Rev E Stat Nonlin Soft Matter Phys 2005
Andrey Shilnikov, Ronald L Calabrese, Gennady Cymbalyuk. Phys Rev E Stat Nonlin Soft Matter Phys 2005
17
Coexistence of tonic firing and bursting in cortical neurons.
Flavio Fröhlich, Maxim Bazhenov. Phys Rev E Stat Nonlin Soft Matter Phys 2006
Flavio Fröhlich, Maxim Bazhenov. Phys Rev E Stat Nonlin Soft Matter Phys 2006
17
Similar network activity from disparate circuit parameters.
Astrid A Prinz, Dirk Bucher, Eve Marder. Nat Neurosci 2004
Astrid A Prinz, Dirk Bucher, Eve Marder. Nat Neurosci 2004
17
Control of multistability in ring circuits of oscillators.
C C Canavier, D A Baxter, J W Clark, J H Byrne. Biol Cybern 1999
C C Canavier, D A Baxter, J W Clark, J H Byrne. Biol Cybern 1999
17
Parameter space analysis suggests multi-site plasticity contributes to motor pattern initiation in Tritonia.
Robert J Calin-Jageman, Mark J Tunstall, Brett D Mensh, Paul S Katz, William N Frost. J Neurophysiol 2007
Robert J Calin-Jageman, Mark J Tunstall, Brett D Mensh, Paul S Katz, William N Frost. J Neurophysiol 2007
17
Mechanisms of oscillation in dynamic clamp constructed two-cell half-center circuits.
A A Sharp, F K Skinner, E Marder. J Neurophysiol 1996
A A Sharp, F K Skinner, E Marder. J Neurophysiol 1996
17
Synaptic patterning of left-right alternation in a computational model of the rodent hindlimb central pattern generator.
William Erik Sherwood, Ronald Harris-Warrick, John Guckenheimer. J Comput Neurosci 2011
William Erik Sherwood, Ronald Harris-Warrick, John Guckenheimer. J Comput Neurosci 2011
23
17
Neuronal control of leech behavior.
William B Kristan, Ronald L Calabrese, W Otto Friesen. Prog Neurobiol 2005
William B Kristan, Ronald L Calabrese, W Otto Friesen. Prog Neurobiol 2005
17
Different roles for homologous interneurons in species exhibiting similar rhythmic behaviors.
Akira Sakurai, James M Newcomb, Joshua L Lillvis, Paul S Katz. Curr Biol 2011
Akira Sakurai, James M Newcomb, Joshua L Lillvis, Paul S Katz. Curr Biol 2011
17
A model of neuronal bursting using three coupled first order differential equations.
J L Hindmarsh, R M Rose. Proc R Soc Lond B Biol Sci 1984
J L Hindmarsh, R M Rose. Proc R Soc Lond B Biol Sci 1984
13
Phase synchronization of inhibitory bursting neurons induced by distributed time delays in chemical coupling.
Xiaoming Liang, Ming Tang, Mukeshwar Dhamala, Zonghua Liu. Phys Rev E Stat Nonlin Soft Matter Phys 2009
Xiaoming Liang, Ming Tang, Mukeshwar Dhamala, Zonghua Liu. Phys Rev E Stat Nonlin Soft Matter Phys 2009
13
Origin of bursting through homoclinic spike adding in a neuron model.
Paul Channell, Gennady Cymbalyuk, Andrey Shilnikov. Phys Rev Lett 2007
Paul Channell, Gennady Cymbalyuk, Andrey Shilnikov. Phys Rev Lett 2007
13
Differential modulation of neural network and pacemaker activity underlying eupnea and sigh-breathing activities.
Andrew K Tryba, Fernando Peña, Steven P Lieske, Jean-Charles Viemari, Muriel Thoby-Brisson, Jan-Marino Ramirez. J Neurophysiol 2008
Andrew K Tryba, Fernando Peña, Steven P Lieske, Jean-Charles Viemari, Muriel Thoby-Brisson, Jan-Marino Ramirez. J Neurophysiol 2008
13
Hindbrain interneurons and axon guidance signaling critical for breathing.
Julien Bouvier, Muriel Thoby-Brisson, Nicolas Renier, Véronique Dubreuil, Johan Ericson, Jean Champagnat, Alessandra Pierani, Alain Chédotal, Gilles Fortin. Nat Neurosci 2010
Julien Bouvier, Muriel Thoby-Brisson, Nicolas Renier, Véronique Dubreuil, Johan Ericson, Jean Champagnat, Alessandra Pierani, Alain Chédotal, Gilles Fortin. Nat Neurosci 2010
13
Alternative to hand-tuning conductance-based models: construction and analysis of databases of model neurons.
Astrid A Prinz, Cyrus P Billimoria, Eve Marder. J Neurophysiol 2003
Astrid A Prinz, Cyrus P Billimoria, Eve Marder. J Neurophysiol 2003
13
Reconfiguration of the neural network controlling multiple breathing patterns: eupnea, sighs and gasps [see comment].
S P Lieske, M Thoby-Brisson, P Telgkamp, J M Ramirez. Nat Neurosci 2000
S P Lieske, M Thoby-Brisson, P Telgkamp, J M Ramirez. Nat Neurosci 2000
13
Developmental origin of preBötzinger complex respiratory neurons.
Paul A Gray, John A Hayes, Guang Y Ling, Isabel Llona, Srinivasan Tupal, Maria Cristina D Picardo, Sarah E Ross, Tsutomu Hirata, Joshua G Corbin, Jaime Eugenín,[...]. J Neurosci 2010
Paul A Gray, John A Hayes, Guang Y Ling, Isabel Llona, Srinivasan Tupal, Maria Cristina D Picardo, Sarah E Ross, Tsutomu Hirata, Joshua G Corbin, Jaime Eugenín,[...]. J Neurosci 2010
13
Pacemaker neurons and neuronal networks: an integrative view.
Jan-Marino Ramirez, Andrew K Tryba, Fernando Peña. Curr Opin Neurobiol 2004
Jan-Marino Ramirez, Andrew K Tryba, Fernando Peña. Curr Opin Neurobiol 2004
13
Persistent sodium current, membrane properties and bursting behavior of pre-bötzinger complex inspiratory neurons in vitro.
Christopher A Del Negro, Naohiro Koshiya, Robert J Butera, Jeffrey C Smith. J Neurophysiol 2002
Christopher A Del Negro, Naohiro Koshiya, Robert J Butera, Jeffrey C Smith. J Neurophysiol 2002
13
Spindle rhythmicity in the reticularis thalami nucleus: synchronization among mutually inhibitory neurons.
X J Wang, J Rinzel. Neuroscience 1993
X J Wang, J Rinzel. Neuroscience 1993
13
Mechanisms of frequency and pattern control in the neural rhythm generators.
K Matsuoka. Biol Cybern 1987
K Matsuoka. Biol Cybern 1987
13
Bursting in inhibitory interneuronal networks: A role for gap-junctional coupling.
F K Skinner, L Zhang, J L Velazquez, P L Carlen. J Neurophysiol 1999
F K Skinner, L Zhang, J L Velazquez, P L Carlen. J Neurophysiol 1999
13
Mesoscale and clusters of synchrony in networks of bursting neurons.
Igor Belykh, Martin Hasler. Chaos 2011
Igor Belykh, Martin Hasler. Chaos 2011
13
Network motifs: simple building blocks of complex networks.
R Milo, S Shen-Orr, S Itzkovitz, N Kashtan, D Chklovskii, U Alon. Science 2002
R Milo, S Shen-Orr, S Itzkovitz, N Kashtan, D Chklovskii, U Alon. Science 2002
13
Key bifurcations of bursting polyrhythms in 3-cell central pattern generators.
Jeremy Wojcik, Justus Schwabedal, Robert Clewley, Andrey L Shilnikov. PLoS One 2014
Jeremy Wojcik, Justus Schwabedal, Robert Clewley, Andrey L Shilnikov. PLoS One 2014
17
The Hindmarsh-Rose neuron model: bifurcation analysis and piecewise-linear approximations.
Marco Storace, Daniele Linaro, Enno de Lange. Chaos 2008
Marco Storace, Daniele Linaro, Enno de Lange. Chaos 2008
8
Origin of coherent structures in a discrete chaotic medium.
M I Rabinovich, J J Torres, P Varona, R Huerta, P Weidman. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1999
M I Rabinovich, J J Torres, P Varona, R Huerta, P Weidman. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1999
33
Coexistence of tonic spiking oscillations in a leech neuron model.
Gennady Cymbalyuk, Andrey Shilnikov. J Comput Neurosci 2005
Gennady Cymbalyuk, Andrey Shilnikov. J Comput Neurosci 2005
8
Co-cited is the co-citation frequency, indicating how many articles cite the article together with the query article. Similarity is the co-citation as percentage of the times cited of the query article or the article in the search results, whichever is the lowest. These numbers are calculated for the last 100 citations when articles are cited more than 100 times.