# zbMATH — the first resource for mathematics

## Biological Cybernetics

 Short Title: Biol. Cybern. Publisher: Springer, Berlin/Heidelberg ISSN: 0340-1200; 1432-0770/e Online: http://link.springer.com/journal/volumesAndIssues/422 Predecessor: Kybernetik
 Documents Indexed: 2,118 Publications (since 1975) References Indexed: 1,526 Publications with 54,041 References.
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#### Latest Issues

 115, No. 4 (2021) 115, No. 3 (2021) 115, No. 2 (2021) 115, No. 1 (2021) 114, No. 6 (2020) 114, No. 4-5 (2020) 114, No. 3 (2020) 114, No. 2 (2020) 114, No. 1 (2020) 113, No. 5-6 (2019) 113, No. 4 (2019) 113, No. 3 (2019) 113, No. 1-2 (2019) 112, No. 6 (2018) 112, No. 5 (2018) 112, No. 4 (2018) 112, No. 3 (2018) 112, No. 1-2 (2018) 111, No. 5-6 (2017) 111, No. 3-4 (2017) 111, No. 2 (2017) 111, No. 1 (2017) 110, No. 6 (2016) 110, No. 4-5 (2016) 110, No. 2-3 (2016) 110, No. 1 (2016) 109, No. 6 (2015) 109, No. 4-5 (2015) 109, No. 3 (2015) 109, No. 2 (2015) 109, No. 1 (2015) 108, No. 6 (2014) 108, No. 5 (2014) 108, No. 4 (2014) 108, No. 3 (2014) 108, No. 2 (2014) 108, No. 1 (2014) 107, No. 6 (2013) 107, No. 4 (2013) 107, No. 3 (2013) 107, No. 2 (2013) 107, No. 1 (2013) 106, No. 11-12 (2012) 106, No. 10 (2012) 106, No. 8-9 (2012) 106, No. 6-7 (2012) 106, No. 4-5 (2012) 106, No. 3 (2012) 106, No. 2 (2012) 106, No. 1 (2012) 105, No. 5-6 (2011) 105, No. 3-4 (2011) 105, No. 2 (2011) 105, No. 1 (2011) 104, No. 6 (2011) 104, No. 4-5 (2011) 104, No. 3 (2011) 104, No. 1-2 (2011) 103, No. 6 (2010) 103, No. 5 (2010) 103, No. 4 (2010) 103, No. 3 (2010) 103, No. 2 (2010) 103, No. 1 (2010) 102, No. 6 (2010) 102, No. 5 (2010) 102, No. 4 (2010) 102, No. 2 (2010) 102, No. 1 (2010) 101, No. 5-6 (2009) 101, No. 4 (2009) 101, No. 3 (2009) 101, No. 2 (2009) 101, No. 1 (2009) 100, No. 6 (2009) 100, No. 5 (2009) 100, No. 4 (2009) 100, No. 3 (2009) 100, No. 2 (2009) 100, No. 1 (2009) 99, No. 6 (2008) 99, No. 4-5 (2008) 99, No. 3 (2008) 99, No. 2 (2008) 99, No. 1 (2008) 98, No. 6 (2008) 98, No. 5 (2008) 98, No. 4 (2008) 98, No. 3 (2008) 98, No. 2 (2008) 98, No. 1 (2008) 97, No. 5-6 (2007) 97, No. 4 (2007) 97, No. 3 (2007) 97, No. 2 (2007) 97, No. 1 (2007) 96, No. 6 (2007) 96, No. 5 (2007) 96, No. 4 (2007) 96, No. 3 (2007) ...and 269 more Volumes
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#### Authors

 28 van Hemmen, J. Leo 19 Koenderink, Jan J. 19 Oguztöreli, Mehmet Namik 13 Arbib, Michael A. 13 Kawato, Mitsuo 13 Kelso, J. A. Scott 13 Robinson, Peter A. 12 Lánský, Petr 12 Latash, Mark L. 12 McCollum, Gin 11 Burkitt, Anthony N. 11 Gerstner, Wulfram 11 Nomura, Taishin 11 Palm, Günther 11 Sato, Shunsuke A. 11 Zatsiorsky, Vladimir M. 10 Haken, Hermann 10 Mallot, Hanspeter A. 10 Stein, Roberto B. 10 Tass, Peter Alexander 10 Wright, James J. 9 Ricciardi, Luigi Maria 8 Abarbanel, Henry D. I. 8 Beek, Peter J. 8 Cruse, Holk 8 Franaszczuk, Piotr J. 8 Fukai, Tomoki 8 Grossberg, Stephen 8 Holmes, Philip J. 8 Huerta, Ramón 8 Windhorst, Uwe 7 Anastasio, Thomas J. 7 Caelli, Terry M. 7 Doi, Shinji 7 Érdi, Péter 7 Feng, Jianfeng 7 Gilson, Matthieu 7 Ijspeert, Auke Jan 7 Inbar, Gideon F. 7 Schöner, Gregor 7 Schulten, Klaus 7 Senn, Walter 7 Suzuki, Ryoji 7 Thomas, Peter J. 7 Tuckwell, Henry C. 7 van Doorn, Andrea J. 7 Wörgötter, Florentin 6 Aihara, Kazuyuki 6 Bergey, Gregory K. 6 Borisyuk, Roman M. 6 de Weerd, J. P. C. 6 Dominey, Peter Ford 6 Droulez, Jacques 6 Foster, David H. 6 Friston, Karl J. 6 Grayden, David B. 6 Hoshino, Osamu 6 Ito, Satoshi 6 Mussa-Ivaldi, Ferdinando A. 6 Plamondon, Réjean 6 Porr, Bernd 6 Sacerdote, Laura 6 Taylor, John Gerald 6 van der Helm, Frans C. T. 5 Amari, Shun-ichi 5 Angelaki, Dora E. 5 Bedrov, Ya. A. 5 Blinowska, Katarzyna J. 5 Caianiello, Eduardo R. 5 Cerf, Roger 5 Daffertshofer, Andreas 5 Dick, O. E. 5 Ding, Mingzhou 5 Flashner, Henryk 5 Fusi, Stefano 5 Gawthrop, Peter J. 5 Günther, Michael 5 Gurney, Kevin N. 5 Hara, Ken-ichi 5 Holden, Arun V. 5 Hoppensteadt, Frank C. 5 König, Peter 5 Kurata, Koji 5 Kydd, R. R. 5 Leibovic, K. N. 5 Longtin, André 5 Loram, Ian D. 5 Meinhardt, G. 5 Moehlis, Jeff 5 Möller, Ralf 5 Mortensen, U. 5 Nagano, Takashi 5 Nakao, Mitsuyuki 5 Obermayer, Klaus 5 Poggio, Tomaso A. 5 Porta, Alberto 5 Rabinovich, Mikhail I. 5 Rinzel, John 5 Schwegler, Helmut 5 Segundo, José Pedro ...and 3,147 more Authors
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#### Fields

 1,933 Biology and other natural sciences (92-XX) 347 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 249 Computer science (68-XX) 223 Systems theory; control (93-XX) 142 Statistics (62-XX) 103 Information and communication theory, circuits (94-XX) 96 Probability theory and stochastic processes (60-XX) 75 Numerical analysis (65-XX) 71 Dynamical systems and ergodic theory (37-XX) 43 Ordinary differential equations (34-XX) 37 Mechanics of particles and systems (70-XX) 26 Operations research, mathematical programming (90-XX) 22 Partial differential equations (35-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 20 Optics, electromagnetic theory (78-XX) 16 Integral equations (45-XX) 10 History and biography (01-XX) 10 Difference and functional equations (39-XX) 10 Mechanics of deformable solids (74-XX) 9 Approximations and expansions (41-XX) 8 Fluid mechanics (76-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Differential geometry (53-XX) 5 Combinatorics (05-XX) 5 Special functions (33-XX) 4 General and overarching topics; collections (00-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Topological groups, Lie groups (22-XX) 3 Operator theory (47-XX) 2 Integral transforms, operational calculus (44-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

1,383 Publications have been cited 8,444 times in 4,902 Documents Cited by Year
“Neural” computation of decisions in optimization problems. Zbl 0572.68041
Hopfield, J. J.; Tank, D. W.
1985
Dynamics of pattern formation in lateral-inhibition type neural fields. Zbl 0367.92005
Amari, Shun-ichi
1977
Self-organized formation of topologically correct feature maps. Zbl 0466.92002
Kohonen, Teuvo
1982
The structure of images. Zbl 0537.92011
Koenderink, Jan J.
1984
Waves, bumps, and patterns in neural field theories. Zbl 1116.92012
Coombes, S.
2005
A review of the integrate-and-fire neuron model: I. Homogeneous synaptic input. Zbl 1161.92315
Burkitt, A. N.
2006
A mathematical theory of visual hallucination patterns. Zbl 0409.92008
Ermentrout, G. B.; Cowan, J. D.
1979
Partial directed coherence: a new concept in neural structure determination. Zbl 1160.92306
Baccalá, Luiz A.; Sameshima, Koichi
2001
Neocognition: A self-organizing neural network model for a mechanism of pattern recognition unaffected by shift in position. Zbl 0419.92009
Fukushima, Kunihiko
1980
The Ornstein-Uhlenbeck process as a model for neuronal activity. I. Mean and variance of the firing time. Zbl 0414.92010
Ricciardi, Luigi M.; Sacerdote, Laura
1979
The identification of nonlinear biological systems: Wiener and Hammerstein Cascade models. Zbl 0611.92002
Hunter, I. W.; Korenberg, M. J.
1986
A theoretical model of phase transitions in human hand movements. Zbl 0548.92003
Haken, H.; Kelso, J. A. S.; Bunz, H.
1985
Electroencephalogram and visual evoked potential generation in a mathematical model of coupled cortical columns. Zbl 0827.92010
Jansen, Ben H.; Rit, Vincent G.
1995
A review of the integrate-and-fire neuron model: II. Inhomogeneous synaptic input and network properties. Zbl 1161.92314
Burkitt, A. N.
2006
Networks and the best approximation property. Zbl 0714.94029
Girosi, F.; Poggio, T.
1990
On partial contraction analysis for coupled nonlinear oscillators. Zbl 1096.92001
Wang, Wei; Slotine, Jean-Jacques E.
2005
Neural theory of association and concept-formation. Zbl 0364.92016
Amari, S.-I.
1977
Maximum likelihood analysis of spike trains of interacting nerve cells. Zbl 0646.92007
Brillinger, D. R.
1988
On the stability of the travelling salesman problem algorithm of Hopfield and Tank. Zbl 0637.65062
Wilson, G. V.; Pawley, G. S.
1988
A model of desynchronizing deep brain stimulation with a demand-controlled coordinated reset of neural subpopulations. Zbl 1084.92009
Tass, Peter A.
2003
Correlated and uncorrelated fitness landscapes and how to tell the difference. Zbl 0703.92016
Weinberger, E.
1990
Self-organized control of bipedal locomotion by neural oscillators in unpredictable environment. Zbl 0734.92005
Taga, G.; Yamaguchi, Y.; Shimizu, H.
1991
Evaluating causal relations in neural systems: Granger causality, directed transfer function and statistical assessment of significance. Zbl 1160.92314
Kamiński, Maciej; Ding, Mingzhou; Truccolo, Wilson A.; Bressler, Steven L.
2001
Maximum likelihood identification of neural point process systems. Zbl 0658.92007
Chornoboy, E. S.; Schramm, L. P.; Karr, A. F.
1988
Diffusion approximation of the neuronal model with synaptic reversal potentials. Zbl 0618.92005
Lánský, P.; Lánská, V.
1987
Giant squid-hidden canard: the 3D geometry of the Hodgkin-Huxley model. Zbl 1125.92015
Rubin, Jonathan; Wechselberger, Martin
2007
A new method of the description of the information flow in the brain structures. Zbl 0734.92003
Kamiński, M. J.; Blinowska, K. J.
1991
A hierarchical neural-network model for control and learning of voluntary movement. Zbl 0624.92009
Kawato, M.; Furukawa, Kazunori; Suzuki, R.
1987
Phenomenological models of synaptic plasticity based on spike timing. Zbl 1145.92306
Morrison, Abigail; Diesmann, Markus; Gerstner, Wulfram
2008
Lotka-Volterra equation and replicator dynamics: A two-dimensional classification. Zbl 0524.92028
Bomze, Immanuel M.
1983
Representation of local geometry in the visual system. Zbl 0617.92024
Koenderink, J. J.; van Doorn, A. J.
1987
Sustained oscillations generated by mutually inhibiting neurons with adaptation. Zbl 0574.92013
Matsuoka, Kiyotoshi
1985
A review of the methods for signal estimation in stochastic diffusion leaky integrate-and-fire neuronal models. Zbl 1154.92012
Lansky, Petr; Ditlevsen, Susanne
2008
A group-theoretic approach to rings of coupled biological oscillators. Zbl 0804.92009
Collins, J. J.; Stewart, I.
1994
Adaptive pattern classification and universal recoding. I: Parallel development and coding of neural feature detectors. Zbl 0339.92004
Grossberg, S.
1976
Self-organizing maps: Ordering, convergence properties and energy functions. Zbl 0747.92006
Erwin, E.; Obermayer, K.; Schulten, K.
1992
Control of neuronal synchrony by nonlinear delayed feedback. Zbl 1169.93338
Popovych, Oleksandr V.; Hauptmann, Christian; Tass, Peter A.
2006
Local and global stability for population models. Zbl 0607.92018
Cull, P.
1986
The symplectic structure of the primary visual cortex. Zbl 1148.92012
Sarti, Alessandro; Citti, Giovanna; Petitot, Jean
2008
Hexapodal gaits and coupled nonlinear oscillator models. Zbl 0767.92015
Collins, J. J.; Stewart, Ian
1993
On the comparison of Feller and Ornstein-Uhlenbeck models for neural activity. Zbl 0831.92002
Lánský, Petr; Sacerdote, Laura; Tomassetti, Francesca
1995
Unified neurophysical model of EEG spectra and evoked potentials. Zbl 1066.92010
Rennie, C. J.; Robinson, P. A.; Wright, J. J.
2002
Adaptive pattern classification and universal recoding. II: Feedback, expectation, olfaction, illusions. Zbl 0339.92005
Grossberg, Stephen
1976
A myocybernetic control model of skeletal muscle. Zbl 0346.92011
Hatze, H.
1977
Mathematical formulations of Hebbian learning. Zbl 1105.92313
Gerstner, Wulfram; Kistler, Werner M.
2002
On associative memory. Zbl 0426.68102
Palm, G.
1980
On the parameter estimation for diffusion models of single neuron’s activities. I: Application to spontaneous activities of mesencephalic reticular formation cells in sleep and waking states. Zbl 0827.92009
Inoue, Junko; Sato, Shunsuke; Ricciardi, Luigi M.
1995
Why spikes? Hebbian learning and retrieval of time-resolved excitation patterns. Zbl 0783.92005
Gerstner, Wulfram; Ritz, Raphael; van Hemmen, J. Leo
1993
On the stationary state of Kohonen’s self-organizing sensory mapping. Zbl 0586.92004
Ritter, H.; Schulten, K.
1986
Analysis of a simple self-organizing process. Zbl 0495.93038
Kohonen, Teuvo
1982
Neural ”bubble” dynamics in two dimensions: Foundations. Zbl 0984.92009
Taylor, J. G.
1999
Solving a combinatorial problem via self-organizing process: An application of the Kohonen algorithm to the traveling salesman problem. Zbl 0641.92020
Fort, J. C.
1988
The identification of nonlinear biological systems: LNL cascade models. Zbl 0611.92001
Korenberg, M. J.; Hunter, I. W.
1986
A stochastic theory of phase transitions in human hand movement. Zbl 0587.92030
Schöner, G.; Haken, H.; Kelso, J. A. S.
1986
Selfregulation of behaviour in animal societies. I. Symmetric contests. Zbl 0465.92016
Schuster, Peter; Sigmund, Karl; Hofbauer, Josef; Wolff, Robert
1981
A mathematical criterion based on phase response curves for stability in a ring of coupled oscillators. Zbl 0912.92007
Dror, R. O.; Canavier, C. C.; Butera, R. J.; Clark, J. W.; Byrne, J. H.
1999
A combined neuronal and mechanical model of fish swimming. Zbl 0780.92007
Ekeberg, Örjan
1993
Auto-association by multilayer perceptrons and singular value decomposition. Zbl 0651.92006
Bourlard, H.; Kamp, Y.
1988
Identification of synaptic interactions. Zbl 0322.92011
Brillinger, David R.; Bryant, Hugh L. jun.; Segundo, Jose P.
1976
Homogeneous nets of neuron-like elements. Zbl 0302.92004
Amari, Shun-Ichi
1975
Hard-wired central pattern generators for quadrupedal locomotion. Zbl 0800.92086
Collins, J. J.; Richmond, S. A.
1994
Collective properties of neural networks: A statistical physics approach. Zbl 0561.92020
Peretto, P.
1984
On optimal nonlinear associative recall. Zbl 0321.94001
Poggio, T.
1975
Pattern formation, contrast control, and oscillations in the short term memory of shunting on-center off-surround networks. Zbl 0327.92001
Ellias, Samuel A.; Grossberg, Stephen
1975
Reduction of conductance-based neuron models. Zbl 0745.92006
Kepler, Thomas B.; Abbott, L. F.; Marder, Eve
1992
Sensory segmentation with coupled neural oscillators. Zbl 0746.92003
von der Malsburg, Christoph; Buhmann, Joachim
1992
Selfregulation of behaviour in animal societies. II. Games between two populations without selfinteraction. Zbl 0465.92017
Schuster, Peter; Sigmund, Karl; Hofbauer, Josef; Wolff, Robert
1981
The spectro-temporal receptive field. A functional characteristic of auditory neurons. Zbl 0466.92006
Aertsen, A. M. H. J.; Johannesma, P. I. M.
1981
Long term memory storage capacity of multiconnected neural networks. Zbl 0596.92013
Peretto, P.; Niez, J. J.
1986
The mechanics of multi-joint posture and movement control. Zbl 0599.73101
Hogan, Neville
1985
A model for neuronal oscillations in the visual cortex. I: Mean-field theory and derivation of the phase equations. Zbl 0709.92012
Schuster, H. G.; Wagner, P.
1990
Formation of topographic maps and columnar microstructures in nerve fields. Zbl 0418.92001
Takeuchi, A.; Amari, S.
1979
Firing patterns in the adaptive exponential integrate-and-fire model. Zbl 1161.92012
Naud, Richard; Marcille, Nicolas; Clopath, Claudia; Gerstner, Wulfram
2008
A first-passage-time analysis of the periodically forced noisy leaky integrate-and-fire model. Zbl 0953.92007
Shimokawa, T.; Pakdaman, K.; Takahata, T.; Tanabe, S.; Sato, S.
2000
Spike timing dependent synaptic plasticity in biological systems. Zbl 1105.92327
Roberts, Patrick D.; Bell, Curtis C.
2002
Activity dynamics and propagation of synchronous spiking in locally connected random networks. Zbl 1083.92006
Mehring, Carsten; Hehl, Ulrich; Kubo, Masayoshi; Diesmann, Markus; Aertsen, Ad
2003
Diffusion approximation and first-passage-time problem for a model neuron. III: A birth-and-death process approach. Zbl 0641.92008
Giorno, V.; Lánský, P.; Nobile, A. G.; Ricciardi, L. M.
1988
Intermittent control: a computational theory of human control. Zbl 1232.93031
Gawthrop, Peter; Loram, Ian; Lakie, Martin; Gollee, Henrik
2011
Short-window spectral analysis of cortical event-related potentials by adaptive multivariate autoregressive modeling: Data preprocessing, model validation, and variability assessment. Zbl 0966.92004
Ding, Mingzhou; Bressler, Steven L.; Yang, Weiming; Liang, Hualou
2000
Exact digital simulation of time-invariant linear systems with applications to neuronal modeling. Zbl 0958.92004
Rotter, Stefan; Diesmann, Markus
1999
On the use of size functions for shape analysis. Zbl 0789.92030
Verri, A.; Uras, C.; Frosini, P.; Ferri, M.
1993
On problem solving with Hopfield neural networks. Zbl 0687.68031
1990
Receptive field families. Zbl 0696.92009
Koenderink, J. J.; van Doorn, A. J.
1990
Linear and nonlinear causality between signals: methods, examples and neurophysiological applications. Zbl 1161.62429
Gourévitch, Boris; Le Bouquin-Jeannès, Régine; Faucon, Gérard
2006
Identification of nonlinear systems using random impulse train inputs. Zbl 0316.93035
Krausz, Howard I.
1975
A biologically motivated and analytically soluble model of collective oscillations in the cortex. I. Theory of weak locking. Zbl 0768.92003
Gerstner, Wulfram; Ritz, Raphael; van Hemmen, J. Leo
1993
Bifurcation analysis of a neural network model. Zbl 0737.92001
Borisyuk, Roman M.; Kirillov, Alexandr B.
1992
Physical principles for economies of skilled movements. Zbl 0499.92025
Nelson, W. L.
1983
An analysis of Stein’s model for stochastic neuronal excitation. Zbl 0505.92014
Wilbur, W. John; Rinzel, John
1982
A model of the neuro-musculo-skeletal system for human locomotion. II: Real-time adaptability under various constraints. Zbl 0826.92013
Taga, Gentaro
1995
Modeling neural activity using the generalized inverse Gaussian distribution. Zbl 0887.92009
Iyengar, Satish; Liao, Qiming
1997
Mechanical models for insect locomotion: Dynamics and stability in the horizontal plane. I: Theory. Zbl 1033.92005
Schmitt, John; Holmes, Philip
2000
Convergence properties of Kohonen’s topology conserving maps: Fluctuations, stability, and dimension selection. Zbl 0653.92026
Ritter, H.; Schulten, K.
1988
Hebbian learning reconsidered: Representation of static and dynamic objects in associative neural nets. Zbl 0661.92007
Herz, A.; Sulzer, B.; Kühn, R.; van Hemmen, J. L.
1989
Modeling the olfactory bulb and its neural oscillatory processings. Zbl 0675.92005
Li, Z.; Hopfield, J. J.
1989
A computational theory of visual receptive fields. Zbl 1294.92009
Lindeberg, Tony
2013
An electro-diffusion model for computing membrane potentials and ionic concentrations in branching dendrites, spines and axons. Zbl 0683.92004
Qian, Ning; Sejnowski, T. J.
1989
On the development of feature detectors in the visual cortex with applications to learning and reaction-diffusion systems. Zbl 0321.92023
Grossberg, Stephen
1976
A family of quasi-white random signals and its optimal use in biological system identification. I: Theory. Zbl 0362.92004
Marmarelis, V. Z.
1977
Dynamics and bifurcations of the adaptive exponential integrate-and-fire model. Zbl 1161.92016
Touboul, Jonathan; Brette, Romain
2008
Cortical stimulation in aphasia following ischemic stroke: toward model-guided electrical neuromodulation. Zbl 1437.92057
Beuter, Anne; Balossier, Anne; Vassal, François; Hemm, Simone; Volpert, Vitaly
2020
Simulating small neural circuits with a discrete computational model. Zbl 1451.92011
Bazenkov, Nikolay I.; Boldyshev, Boris A.; Dyakonova, Varvara; Kuznetsov, Oleg P.
2020
Information filtering by coincidence detection of synchronous population output: analytical approaches to the coherence function of a two-stage neural system. Zbl 1451.92066
Bostner, Žiga; Knoll, Gregory; Lindner, Benjamin
2020
Optimal time-varying postural control in a single-link neuromechanical model with feedback latencies. Zbl 1457.92010
Iqbal, Kamran
2020
Control for multifunctionality: bioinspired control based on feeding in Aplysia californica. Zbl 1460.92015
Webster-Wood, Victoria A.; Gill, Jeffrey P.; Thomas, Peter J.; Chiel, Hillel J.
2020
Phase reduction and phase-based optimal control for biological systems: a tutorial. Zbl 1411.92122
Monga, Bharat; Wilson, Dan; Matchen, Tim; Moehlis, Jeff
2019
Optimal phase control of biological oscillators using augmented phase reduction. Zbl 1411.92051
Monga, Bharat; Moehlis, Jeff
2019
Generalised free energy and active inference. Zbl 1425.91384
Parr, Thomas; Friston, Karl J.
2019
Parameter subset selection techniques for problems in mathematical biology. Zbl 1411.92143
Olsen, Christian Haargaard; Ottesen, Johnny T.; Smith, Ralph C.; Olufsen, Mette S.
2019
Locomotion: exploiting noise for state estimation. Zbl 1411.92016
Guckenheimer, John; Javeed, Aurya
2019
A review on animal-robot interaction: from bio-hybrid organisms to mixed societies. Zbl 1414.92045
Romano, Donato; Donati, Elisa; Benelli, Giovanni; Stefanini, Cesare
2019
NeuroSLAM: a brain-inspired SLAM system for 3D environments. Zbl 1425.93208
Yu, Fangwen; Shang, Jianga; Hu, Youjian; Milford, Michael
2019
Control theory in biology and medicine. Introduction to the special issue. Zbl 1411.00068
Thomas, Peter J.; Olufsen, Mette; Sepulchre, Rodolphe; Iglesias, Pablo A.; Ijspeert, Auke; Srinivasan, Manoj
2019
Cellular switches orchestrate rhythmic circuits. Zbl 1411.92041
Drion, Guillaume; Franci, Alessio; Sepulchre, Rodolphe
2019
An optimal control approach for blood pressure regulation during head-up tilt. Zbl 1411.92075
Williams, Nakeya D.; Mehlsen, Jesper; Tran, Hien T.; Olufsen, Mette S.
2019
Extracellular GABA assisting in organizing dynamic cell assemblies to shorten reaction time to sensory stimulation. Zbl 1414.92118
Sakamoto, Ryuta; Kameno, Rikiya; Kobayashi, Taira; Ishiyama, Asahi; Watanabe, Kazuo; Hoshino, Osamu
2019
Evaluation of connectivity estimates using spiking neuronal network models. Zbl 1414.92036
Nunes, Ronaldo V.; Reyes, Marcelo B.; de Camargo, Raphael Y.
2019
Planning and navigation as active inference. Zbl 1400.92607
Kaplan, Raphael; Friston, Karl J.
2018
Deep active inference. Zbl 1402.92028
Ueltzhöffer, Kai
2018
Colored noise and a stochastic fractional model for correlated inputs and adaptation in neuronal firing. Zbl 1400.92108
Pirozzi, Enrica
2018
Improved lower bound for the mutual information between signal and neural spike count. Zbl 1402.92122
Voronenko, Sergej O.; Lindner, Benjamin
2018
Coordinate invariance as a fundamental constraint on the form of stimulus-specific information measures. Zbl 1400.92096
Kostal, Lubomir; D&rsquo;Onofrio, Giuseppe
2018
A single retinal circuit model for multiple computations. Zbl 1402.92027
Sağlam, Murat; Hayashida, Yuki
2018
Weak-noise-induced transitions with inhibition and modulation of neural oscillations. Zbl 1402.92031
Yamakou, Marius E.; Jost, Jürgen
2018
Leveraging variable sensor spatial acuity with a homogeneous, multi-scale place recognition framework. Zbl 1400.92093
Jacobson, Adam; Chen, Zetao; Milford, Michael
2018
Bipedal robotic walking control derived from analysis of human locomotion. Zbl 1401.93144
Meng, Lin; Macleod, Catherine A.; Porr, Bernd; Gollee, Henrik
2018
The role of long-range coupling in crayfish swimmeret phase-locking. Zbl 1400.92051
Spardy, Lucy E.; Lewis, Timothy J.
2018
Modeling and analysis of a new locomotion control neural networks. Zbl 1400.92019
Liu, Q.; Wang, J. Z.
2018
A new model of the spinal locomotor networks of a salamander and its properties. Zbl 1400.92099
Liu, Qiang; Yang, Huizhen; Zhang, Jinxue; Wang, Jingzhuo
2018
K-complexes, spindles, and ERPs as impulse responses: unification via neural field theory. Zbl 1379.92008
Zobaer, M. S.; Anderson, R. M.; Kerr, C. C.; Robinson, P. A.; Wong, K. K. H.; D&rsquo;Rozario, A. L.
2017
Note on the coefficient of variations of neuronal spike trains. Zbl 1377.92016
Lengler, Johannes; Steger, Angelika
2017
Retrieving challenging vessel connections in retinal images by line co-occurrence statistics. Zbl 1377.92015
Abbasi-Sureshjani, Samaneh; Zhang, Jiong; Duits, Remco; ter Haar Romeny, Bart
2017
Conductance-based refractory density approach: comparison with experimental data and generalization to lognormal distribution of input current. Zbl 1400.92087
Chizhov, Anton V.
2017
A multi-joint model of quiet, upright stance accounts for the “uncontrolled manifold” structure of joint variance. Zbl 1400.92111
Reimann, Hendrik; Schöner, Gregor
2017
The role of neuron-glia interactions in the emergence of ultra-slow oscillations. Zbl 1400.92085
Chan, Siow-Cheng; Mok, Siew-Ying; Ng, Danny Wee-Kiat; Goh, Sing-Yau
2017
Design process and tools for dynamic neuromechanical models and robot controllers. Zbl 1385.92009
Szczecinski, Nicholas S.; Hunt, Alexander J.; Quinn, Roger D.
2017
Closed-loop firing rate regulation of two interacting excitatory and inhibitory neural populations of the basal ganglia. Zbl 1345.92040
Haidar, Ihab; Pasillas-Lépine, William; Chaillet, Antoine; Panteley, Elena; Palfi, Stéphane; Senova, Suhan
2016
The gamma renewal process as an output of the diffusion leaky integrate-and-fire neuronal model. Zbl 1344.92037
Lansky, Petr; Sacerdote, Laura; Zucca, Cristina
2016
Nonlinear statistical data assimilation for $$\mathrm{HVC}_{\mathrm{RA}}$$ neurons in the Avian song system. Zbl 1382.92015
Kadakia, Nirag; Armstrong, Eve; Breen, Daniel; Morone, Uriel; Daou, Arij; Margoliash, Daniel; Abarbanel, Henry D. I.
2016
Entrainment and synchronization in networks of Rayleigh-van der Pol oscillators with diffusive and Haken-Kelso-Bunz couplings. Zbl 1344.92108
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2016
Beyond in-phase and anti-phase coordination in a model of joint action. Zbl 1345.92093
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2016
Response functions for electrically coupled neuronal network: a method of local point matching and its applications. Zbl 1344.92045
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2016
Equivalent linear damping characterization in linear and nonlinear force-stiffness muscle models. Zbl 1345.92029
2016
Modeling neural activity with cumulative damage distributions. Zbl 1345.92042
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2015
Prediction-for-CompAction: navigation in social environments using generalized cognitive maps. Zbl 1414.91314
Villacorta-Atienza, Jose A.; Calvo, Carlos; Makarov, Valeri A.
2015
Synchrony, waves and ripple in spatially coupled Kuramoto oscillators with Mexican hat connectivity. Zbl 1344.92036
Heitmann, Stewart; Ermentrout, G. Bard
2015
Cerebellum-inspired neural network solution of the inverse kinematics problem. Zbl 1345.92011
2015
Spike-frequency adaptation of a two-compartment neuron modulated by extracellular electric fields. Zbl 1344.92044
Yi, Guosheng; Wang, Jiang; Tsang, Kai-Ming; Wei, Xile; Deng, Bin; Han, Chunxiao
2015
Stein’s neuronal model with pooled renewal input. Zbl 1344.92039
Rajdl, Kamil; Lansky, Petr
2015
Equation-free analysis of spike-timing-dependent plasticity. Zbl 1345.92041
Laing, Carlo R.; Kevrekidis, Ioannis G.
2015
A dynamic human motion: coordination analysis. Zbl 1344.92027
Pchelkin, Stepan; Shiriaev, Anton S.; Freidovich, Leonid B.; Mettin, Uwe; Gusev, Sergei V.; Kwon, Woong; Paramonov, Leonid
2015
Symmetry and order parameter dynamics of the human odometer. Zbl 1345.92022
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2015
Phase resetting for a network of oscillators via phase response curve approach. Zbl 1344.92063
Efimov, D.
2015
Integrate-and-fire neurons driven by asymmetric dichotomous noise. Zbl 1359.92018
Droste, Felix; Lindner, Benjamin
2014
Adaptive dynamic programming as a theory of sensorimotor control. Zbl 1307.49024
Jiang, Yu; Jiang, Zhong-Ping
2014
Estimating latency from inhibitory input. Zbl 1328.92020
Levakova, Marie; Ditlevsen, Susanne; Lansky, Petr
2014
Sensory uncertainty and stick balancing at the fingertip. Zbl 1294.93043
Insperger, Tamas; Milton, John
2014
Analysis of chaotic oscillations induced in two coupled Wilson-Cowan models. Zbl 1294.92010
Maruyama, Yuya; Kakimoto, Yuta; Araki, Osamu
2014
Active inference, eye movements and oculomotor delays. Zbl 1359.92022
Perrinet, Laurent U.; Adams, Rick A.; Friston, Karl J.
2014
Torque-stiffness-controlled dynamic walking with central pattern generators. Zbl 1327.70019
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2014
A computational theory of visual receptive fields. Zbl 1294.92009
Lindeberg, Tony
2013
On dependency properties of the ISIs generated by a two-compartmental neuronal model. Zbl 1267.92018
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2013
Delay-induced oscillations in Wilson and Cowan’s model: an analysis of the subthalamo-pallidal feedback loop in healthy and parkinsonian subjects. Zbl 1267.92034
Pasillas-Lépine, William
2013
Symmetric bursting behaviors in the generalized FitzHugh-Nagumo model. Zbl 1294.92005
Abbasian, A. H.; Fallah, H.; Razvan, M. R.
2013
Metabolic cost of neuronal information in an empirical stimulus-response model. Zbl 1267.92027
Kostal, Lubomir; Lansky, Petr; McDonnell, Mark D.
2013
Mechanism of suppression of sustained neuronal spiking under high-frequency stimulation. Zbl 1294.92012
Pyragas, Kestutis; Novičenko, Viktor; Tass, Peter Alexander
2013
Vector strength after Goldberg, Brown, and von Mises: biological and mathematical perspectives. Zbl 1294.92003
van Hemmen, J. Leo
2013
Human stick balancing: an intermittent control explanation. Zbl 1294.93042
Gawthrop, Peter; Lee, Kwee-Yum; Halaki, Mark; O&rsquo;Dwyer, Nicholas
2013
Spatiotemporal pattern formation in two-dimensional neural circuits: roles of refractoriness and noise. Zbl 1267.92025
Gong, Pulin; Loi, S. T. C.; Robinson, P. A.; Yang, C. Y. J.
2013
Synchronization regulation in a model of coupled neural masses. Zbl 1267.92028
Ma, Zhen; Zhou, Weidong; Geng, Shujuan; Yuan, Qi; Li, Xueli
2013
Asymmetry in neural fields: a spatiotemporal encoding mechanism. Zbl 1267.92019
Cerda, Mauricio; Girau, Bernard
2013
Spike width and frequency alter stability of phase-locking in electrically coupled neurons. Zbl 1267.92021
Dodla, Ramana; Wilson, Charles J.
2013
Resonating vector strength: what happens when we vary the “probing” frequency while keeping the spike times fixed. Zbl 1294.92016
van Hemmen, J. Leo; Vollmayr, Andreas N.
2013
The Green’s function formalism as a bridge between single- and multi-compartmental modeling. Zbl 1294.92014
Wybo, Willem A. M.; Stiefel, Klaus M.; Torben-Nielsen, Benjamin
2013
Active inference and agency: optimal control without cost functions. Zbl 1267.90167
Friston, Karl; Samothrakis, Spyridon; Montague, Read
2012
Hebbian mechanisms help explain development of multisensory integration in the superior colliculus: a neural network model. Zbl 1267.92020
Cuppini, C.; Magosso, E.; Rowland, B.; Stein, B.; Ursino, M.
2012
Shaping bursting by electrical coupling and noise. Zbl 1387.92010
Medvedev, Georgi S.; Zhuravytska, Svitlana
2012
A general linear framework for the comparison and evaluation of models of sensorimotor synchronization. Zbl 1237.91190
Jacoby, Nori; Repp, Bruno H.
2012
Modeling inter-human movement coordination: synchronization governs joint task dynamics. Zbl 1267.92004
Mörtl, Alexander; Lorenz, Tamara; Vlaskamp, Björn N. S.; Gusrialdi, Azwirman; Schubö, Anna; Hirche, Sandra
2012
Dynamical estimation of neuron and network properties. II: Path integral Monte Carlo methods. Zbl 1387.92018
Kostuk, Mark; Toth, Bryan A.; Meliza, C. Daniel; Margoliash, Daniel; Abarbanel, Henry D. I.
2012
Frequency-domain identification of the human controller. Zbl 1267.92037
Gollee, Henrik; Mamma, Adamantia; Loram, Ian D.; Gawthrop, Peter J.
2012
Neural fields with fast learning dynamic kernel. Zbl 1237.92008
Abbassian, A. H.; Fotouhi, M.; Heidari, M.
2012
The stochastic properties of input spike trains control neuronal arithmetic. Zbl 1237.92011
Bures, Zbynek
2012
Recognizing recurrent neural networks (rRNN): Bayesian inference for recurrent neural networks. Zbl 1267.92005
Bitzer, Sebastian; Kiebel, Stefan J.
2012
A variational approach to behavioral and neuroelectrical laws. Zbl 1267.92033
Noventa, Stefano; Vidotto, Giulio
2012
Bifurcation control of the Morris-Lecar neuron model via a dynamic state-feedback control. Zbl 1267.92032
Nguyen, Le Hoa; Hong, Keum-Shik; Park, Seonghun
2012
The role of feedback in morphological computation with compliant bodies. Zbl 1267.68241
Hauser, Helmut; Ijspeert, Auke J.; Füchslin, Rudolf M.; Pfeifer, Rolf; Maass, Wolfgang
2012
Human hand modelling: kinematics, dynamics, applications. Zbl 1267.92038
Gustus, Agneta; Stillfried, Georg; Visser, Judith; Jörntell, Henrik; Der Smagt, Patrick Van
2012
Intermittent control: a computational theory of human control. Zbl 1232.93031
Gawthrop, Peter; Loram, Ian; Lakie, Martin; Gollee, Henrik
2011
Action understanding and active inference. Zbl 1232.92036
Friston, Karl; Mattout, Jérémie; Kilner, James
2011
On the spectral formulation of Granger causality. Zbl 1248.92006
Chicharro, D.
2011
Analysis of a neural oscillator. Zbl 1232.34058
Matsuoka, Kiyotoshi
2011
On the role of astrocytes in synchronization of two coupled neurons: a mathematical perspective. Zbl 1248.92004
Amiri, Mahmood; Montaseri, Ghazal; Bahrami, Fariba
2011
Dynamical estimation of neuron and network properties. I: Variational methods. Zbl 1248.92015
Toth, Bryan A.; Kostuk, Mark; Meliza, C. Daniel; Margoliash, Daniel; Abarbanel, Henry D. I.
2011
Block coherence: a method for measuring the interdependence between two blocks of neurobiological time series. Zbl 1232.92039
Nedungadi, Aatira G.; Ding, Mingzhou; Rangarajan, Govindan
2011
An introductory review of information theory in the context of computational neuroscience. Zbl 1232.94010
McDonnell, Mark D.; Ikeda, Shiro; Manton, Jonathan H.
2011
Dominance of local sensory signals over inter-segmental effects in a motor system: modeling studies. Zbl 1248.92026
Daun-Gruhn, Silvia; Tóth, Tibor I.; Borgmann, Anke
2011
The mechanisms for compression and reflection of cortical waves. Zbl 1248.92009
Goulet, Julie; Ermentrout, G. Bard
2011
Towards a theoretical foundation for morphological computation with compliant bodies. Zbl 1248.70009
Hauser, Helmut; Ijspeert, Auke J.; Füchslin, Rudolf M.; Pfeifer, Rolf; Maass, Wolfgang
2011
What is the biological basis of sensorimotor integration? Zbl 1232.92035
Flanders, Martha
2011
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#### Cited by 7,947 Authors

 30 Robinson, Peter A. 29 van Hemmen, J. Leo 28 Lánský, Petr 26 Aihara, Kazuyuki 26 Amari, Shun-ichi 22 Bressloff, Paul C. 21 Coombes, Stephen 19 Gerstner, Wulfram 19 Kilpatrick, Zachary P. 19 Koenderink, Jan J. 19 Longtin, André 19 Oguztöreli, Mehmet Namik 19 Pirozzi, Enrica 19 Sacerdote, Laura 18 Friston, Karl J. 18 Laing, Carlo R. 17 Ditlevsen, Susanne 17 Günther, Michael 16 Frank, Till Daniel 16 Wang, Jiang 15 Citti, Giovanna 15 Haken, Hermann 15 Sarti, Alessandro 15 Stewart, Ian Nicholas 14 Burkitt, Anthony N. 14 Grossberg, Stephen 14 Moehlis, Jeff 14 Tass, Peter Alexander 14 Wechselberger, Martin 14 Wyller, John A. 13 Lindner, Benjamin 13 Paninski, Liam 13 Rubin, Jonathan E. 13 Wright, James J. 12 Diesmann, Markus 12 Horikawa, Yo 12 Jirsa, Viktor K. 12 Kawato, Mitsuo 12 Kurths, Jürgen 12 Lindeberg, Tony 12 Nobile, Amelia G. 12 Okada, Masato 12 Wang, Jun 11 Arbib, Michael A. 11 Buonocore, Aniello 11 Palm, Günther 11 Ricciardi, Luigi Maria 11 Thomas, Peter J. 10 beim Graben, Peter 10 Borisyuk, Roman M. 10 Duits, Remco 10 Elliott, Terry 10 Frosini, Patrizio 10 Holmes, Philip J. 10 Hutt, Axel 10 Kloeden, Peter Eris 10 Kostal, Lubomir 10 Rockenfeller, Robert 10 Rotter, Stefan 10 Schmitt, Syn 10 Stein, Roberto B. 10 Touboul, Jonathan David 10 Tuckwell, Henry C. 10 Wu, Si 9 Caputo, Luigia 9 Chen, Hanfu 9 Cowan, Jack D. 9 Deng, Bin 9 Fusi, Stefano 9 Golubitsky, Martin A. 9 Grün, Sonja 9 Hofbauer, Josef 9 Huerta, Ramón 9 Ijspeert, Auke Jan 9 Kass, Robert E. 9 Kelso, J. A. Scott 9 Makarov, Valeri A. 9 Morrison, Abigail 9 Poggio, Tomaso A. 9 Rolls, Edmund T. 9 Senn, Walter 9 Slotine, Jean-Jacques E. 9 Stadler, Peter F. 9 Wilson, Dan D. 9 Zhang, Linghai 8 Abarbanel, Henry D. I. 8 Beek, Peter J. 8 Destexhe, Alain 8 D’Onofrio, Giuseppe 8 Einevoll, Gaute T. 8 Fukushima, Kunihiko 8 Gawthrop, Peter J. 8 Gilson, Matthieu 8 Giorno, Virginia 8 Grayden, David B. 8 Jimenez, Juan Carlos 8 Johannesma, Peter I. M. 8 Josić, Krešimir 8 Kiemel, Tim 8 Löcherbach, Eva ...and 7,847 more Authors
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#### Cited in 459 Journals

 999 Biological Cybernetics 508 Neural Computation 201 Neural Networks 185 Journal of Computational Neuroscience 138 Physica D 125 Chaos 118 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 112 Journal of Theoretical Biology 95 Mathematical Biosciences 86 Journal of Mathematical Biology 71 The Journal of Mathematical Neuroscience 69 Automatica 61 Chaos, Solitons and Fractals 58 Bulletin of Mathematical Biology 54 Applied Mathematics and Computation 52 Journal of Mathematical Psychology 52 Pattern Recognition 50 Nonlinear Dynamics 48 Journal of Mathematical Imaging and Vision 45 European Journal of Operational Research 39 Journal of Statistical Physics 38 Communications in Nonlinear Science and Numerical Simulation 36 SIAM Journal on Applied Dynamical Systems 35 Computers & Mathematics with Applications 33 Mathematical and Computer Modelling 33 Mathematical Biosciences and Engineering 31 Information Sciences 31 Computers & Operations Research 27 Mathematical Problems in Engineering 27 Computational & Mathematical Methods in Medicine 26 Journal of the Franklin Institute 23 International Journal of Systems Science 23 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 19 Journal of Mathematical Analysis and Applications 19 Theoretical Computer Science 18 Stochastic Processes and their Applications 18 Computational Statistics and Data Analysis 18 Journal of Nonlinear Science 17 Artificial Intelligence 15 International Journal of Control 15 Circuits, Systems, and Signal Processing 14 Journal of Computational and Applied Mathematics 14 Mathematics and Computers in Simulation 14 Annals of Operations Research 13 Journal of Differential Equations 13 Applied Mathematical Modelling 13 International Journal of Computer Mathematics 13 SIAM Journal on Applied Mathematics 12 Discrete Applied Mathematics 12 Systems & Control Letters 11 International Journal of General Systems 11 Acta Applicandae Mathematicae 11 International Journal of Computer Vision 11 Abstract and Applied Analysis 11 Discrete and Continuous Dynamical Systems. Series B 10 International Journal of Robust and Nonlinear Control 9 Information Processing Letters 9 Nonlinear Analysis. Real World Applications 9 Journal of Applied Mathematics 9 Entropy 9 Nonlinear Analysis. Theory, Methods & Applications 8 Journal of Computational Physics 8 Physica A 8 Applied Mathematics Letters 8 The Annals of Applied Probability 8 Soft Computing 8 Journal of Statistical Mechanics: Theory and Experiment 8 The Annals of Applied Statistics 7 Computer Methods in Applied Mechanics and Engineering 7 Fuzzy Sets and Systems 7 Cybernetics and Systems 7 Machine Learning 7 Japan Journal of Industrial and Applied Mathematics 7 European Journal of Control 7 Journal of Vibration and Control 7 Journal of Machine Learning Research (JMLR) 7 Physical Review E. Third Series 7 New Mathematics and Natural Computation 7 EURASIP Journal on Advances in Signal Processing 7 SIAM Journal on Imaging Sciences 6 Journal of Computer and System Sciences 6 Kybernetes 6 Applied Numerical Mathematics 6 Probability Theory and Related Fields 6 Signal Processing 6 Journal of Dynamics and Differential Equations 6 Journal of Difference Equations and Applications 6 Differential Equations and Dynamical Systems 6 Discrete Dynamics in Nature and Society 6 Dynamical Systems 6 Natural Computing 6 Advances in Complex Systems 5 Advances in Applied Probability 5 Applicable Analysis 5 Journal of Fluid Mechanics 5 Mathematical Methods in the Applied Sciences 5 Nonlinearity 5 Psychometrika 5 Computing 5 Journal of Applied Probability ...and 359 more Journals
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#### Cited in 55 Fields

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