-
1
-
-
47749115285
-
Computer modelling of epilepsy
-
Lytton WW: Computer modelling of epilepsy. Nat Rev Neurosci 2008, 9:626-637.
-
(2008)
Nat Rev Neurosci
, vol.9
, pp. 626-637
-
-
Lytton, W.W.1
-
2
-
-
0036460568
-
Epileptic fast activity can be explained by a model of impaired GABAergic dendritic inhibition
-
Wendling F, Bartolomei F, Bellanger JJ, Chauvel P: Epileptic fast activity can be explained by a model of impaired GABAergic dendritic inhibition. Eur J Neurosci 2002, 15:1499-1508.
-
(2002)
Eur J Neurosci
, vol.15
, pp. 1499-1508
-
-
Wendling, F.1
Bartolomei, F.2
Bellanger, J.J.3
Chauvel, P.4
-
3
-
-
0346992326
-
Epilepsies as dynamical diseases of brain systems: Basic models of the transition between normal and epileptic activity
-
Lopes da Silva FH, Blanes W, Kalitzin SN, Parra J, Suffczynski P, Velis DN: Epilepsies as dynamical diseases of brain systems: basic models of the transition between normal and epileptic activity. Epilepsia 2003, 44:72-83.
-
(2003)
Epilepsia
, vol.44
, pp. 72-83
-
-
da Silva, F.H.L.1
Blanes, W.2
Kalitzin, S.N.3
Parra, J.4
Suffczynski, P.5
Velis, D.N.6
-
4
-
-
84984550291
-
Emergent epileptiform activity in neural networks with weak excitatory synapses
-
van Drongelen W, Lee HC, Hereld M, Chen Z, Elsen FP, Stevens RL: Emergent epileptiform activity in neural networks with weak excitatory synapses. IEEE Trans Neural Syst Rehabil Eng 2005, 13:236-241.
-
(2005)
IEEE Trans Neural Syst Rehabil Eng
, vol.13
, pp. 236-241
-
-
van Drongelen, W.1
Lee, H.C.2
Hereld, M.3
Chen, Z.4
Elsen, F.P.5
Stevens, R.L.6
-
5
-
-
84984578808
-
Comparing epileptiform behavior of meso-scale detailed models and populations models of neocortex
-
Visser S, Lee HC, Meijer HGE, van Drongelen W, van Putten MJAM, van Gils SA: Comparing epileptiform behavior of meso-scale detailed models and populations models of neocortex. Journal of Clinical Neurophysiology 2010, 27:471-478.
-
(2010)
Journal of Clinical Neurophysiology
, vol.27
, pp. 471-478
-
-
Visser, S.1
Lee, H.C.2
Meijer, H.G.E.3
van Drongelen, W.4
van Putten, M.J.A.M.5
van Gils, S.A.6
-
7
-
-
0028517922
-
Stability and bifurcations of equilibria in a multiple-delayed differential equation
-
Bélair J, Campbell SA: Stability and bifurcations of equilibria in a multiple-delayed differential equation. SIAM J. Appl. Math. 1994, 54:1402-1424.
-
(1994)
SIAM J. Appl. Math
, vol.54
, pp. 1402-1424
-
-
Bélair, J.1
Campbell, S.A.2
-
9
-
-
26944444656
-
Equivariant Hopf bifurcation in a ring of identical cells with delayed coupling
-
Campbell SA, Yuan Y, Bungay SD: Equivariant Hopf bifurcation in a ring of identical cells with delayed coupling. Nonlinearity 2005, 18:2827-2846.
-
(2005)
Nonlinearity
, vol.18
, pp. 2827-2846
-
-
Campbell, S.A.1
Yuan, Y.2
Bungay, S.D.3
-
10
-
-
32844462800
-
Multistability and stable asynchronous periodic oscillations in a multiple-delayed neural system
-
Campbell SA, Ncube I, Wu J: Multistability and stable asynchronous periodic oscillations in a multiple-delayed neural system. Physica D: Nonlinear Phenomena 2006, 214(2):101-119.
-
(2006)
Physica D: Nonlinear Phenomena
, vol.214
, Issue.2
, pp. 101-119
-
-
Campbell, S.A.1
Ncube, I.2
Wu, J.3
-
11
-
-
0001115830
-
Minimal instability and unstable set of a phase-locked periodic orbit in a delayed neural network
-
Chen Y, Wu J: Minimal instability and unstable set of a phase-locked periodic orbit in a delayed neural network. Physica D: Nonlinear Phenomena 1999, 134(2):185-199.
-
(1999)
Physica D: Nonlinear Phenomena
, vol.134
, Issue.2
, pp. 185-199
-
-
Chen, Y.1
Wu, J.2
-
12
-
-
0034693565
-
On a planar system modelling a neuron network with memory
-
Faria T: On a planar system modelling a neuron network with memory. Journal of Differential Equations 2000, 168:129-149.
-
(2000)
Journal of Differential Equations
, vol.168
, pp. 129-149
-
-
Faria, T.1
-
13
-
-
0041511877
-
Hopf bifurcating periodic orbits in a ring of neurons with delays
-
Guo S, Huang L: Hopf bifurcating periodic orbits in a ring of neurons with delays. Physica D: Nonlinear Phenomena 2003, 183(1-2):19-44.
-
(2003)
Physica D: Nonlinear Phenomena
, vol.183
, Issue.1-2
, pp. 19-44
-
-
Guo, S.1
Huang, L.2
-
14
-
-
36849021007
-
Two-parameter bifurcations in a network of two neurons with multiple delays
-
Guo S, Chen Y, Wu J: Two-parameter bifurcations in a network of two neurons with multiple delays. Journal of Differential Equations 2008, 244(2):444-486.
-
(2008)
Journal of Differential Equations
, vol.244
, Issue.2
, pp. 444-486
-
-
Guo, S.1
Chen, Y.2
Wu, J.3
-
15
-
-
0038381865
-
Nonlinear waves in networks of neurons with delayed feedback: Pattern formation and continuation
-
Huang L, Wu J: Nonlinear waves in networks of neurons with delayed feedback: pattern formation and continuation. SIAM Journal on Mathematical Analysis 2003, 34(4):836-860.
-
(2003)
SIAM Journal On Mathematical Analysis
, vol.34
, Issue.4
, pp. 836-860
-
-
Huang, L.1
Wu, J.2
-
16
-
-
0001082564
-
Bifurcations, stability, and monotonicity properties of a delayed neural network model
-
Olien L, Bélair J: Bifurcations, stability, and monotonicity properties of a delayed neural network model. Physica D: Nonlinear Phenomena 1997, 102(3-4):349-363.
-
(1997)
Physica D: Nonlinear Phenomena
, vol.102
, Issue.3-4
, pp. 349-363
-
-
Olien, L.1
Bélair, J.2
-
17
-
-
0342936163
-
Stability, bifurcation, and multistability in a system of two coupled neurons with multiple time delays
-
Shayer LP, Campbell SA: Stability, bifurcation, and multistability in a system of two coupled neurons with multiple time delays. SIAM Journal on Applied Mathematics 2000, 61:673-700.
-
(2000)
SIAM Journal on Applied Mathematics
, vol.61
, pp. 673-700
-
-
Shayer, L.P.1
Campbell, S.A.2
-
18
-
-
0347130009
-
Stability and bifurcation in a neural network model with two delays
-
Wei J, Ruan S: Stability and bifurcation in a neural network model with two delays. Physica D: Nonlinear Phenomena 1999, 130(3-4):255-272.
-
(1999)
Physica D: Nonlinear Phenomena
, vol.130
, Issue.3-4
, pp. 255-272
-
-
Wei, J.1
Ruan, S.2
-
19
-
-
7244227815
-
Bifurcation analysis and existence of periodic solutions in a simple neural network with delays
-
Wei JJ, Velarde MG: Bifurcation analysis and existence of periodic solutions in a simple neural network with delays. Chaos: An Interdisciplinary Journal of Nonlinear Science 2004, 14(3):940-953.
-
(2004)
Chaos: An Interdisciplinary Journal of Nonlinear Science
, vol.14
, Issue.3
, pp. 940-953
-
-
Wei, J.J.1
Velarde, M.G.2
-
20
-
-
0033166162
-
Synchronization and stable phase-locking in a network of neurons with memory
-
Wu J, Faria T, Huang YS: Synchronization and stable phase-locking in a network of neurons with memory. Mathematical and Computer Modelling 1999, 30(1-2):117-138.
-
(1999)
Mathematical and Computer Modelling
, vol.30
, Issue.1-2
, pp. 117-138
-
-
Wu, J.1
Faria, T.2
Huang, Y.S.3
-
21
-
-
26944442186
-
Stability and synchronization of a ring of identical cells with delayed coupling
-
Yuan Y, Campbell SA: Stability and synchronization of a ring of identical cells with delayed coupling. Journal of Dynamics and Differential Equations 2004, 16:709-744.
-
(2004)
Journal of Dynamics and Differential Equations
, vol.16
, pp. 709-744
-
-
Yuan, Y.1
Campbell, S.A.2
-
22
-
-
33847049750
-
Dynamics in a delayed-neural network
-
Yuan Y: Dynamics in a delayed-neural network. Chaos, Solitons & Fractals 2007, 33(2):443-454.
-
(2007)
Chaos, Solitons & Fractals
, vol.33
, Issue.2
, pp. 443-454
-
-
Yuan, Y.1
-
23
-
-
64049094655
-
A review of Hopfield neural networks for solving mathematical programming problems
-
Wen UP, Lan KM, Shih HS: A review of Hopfield neural networks for solving mathematical programming problems. European Journal of Operational Research 2009, 198(3):675-687.
-
(2009)
European Journal of Operational Research
, vol.198
, Issue.3
, pp. 675-687
-
-
Wen, U.P.1
Lan, K.M.2
Shih, H.S.3
-
24
-
-
0015260274
-
Excitatory and inhibitory interactions in localized populations of model neurons
-
Wilson HR, Cowan JD: Excitatory and inhibitory interactions in localized populations of model neurons. Biophysical Journal 1972, 12:1-24.
-
(1972)
Biophysical Journal
, vol.12
, pp. 1-24
-
-
Wilson, H.R.1
Cowan, J.D.2
-
26
-
-
68949204158
-
Stability switches, oscillatory multistability, and spatio-temporal patterns of nonlinear oscillations in recurrently delay coupled neural networks
-
Song Y, Makarov VA, Velarde MG: Stability switches, oscillatory multistability, and spatio-temporal patterns of nonlinear oscillations in recurrently delay coupled neural networks. Biol. Cybern. 2009, 101:147-167.
-
(2009)
Biol. Cybern
, vol.101
, pp. 147-167
-
-
Song, Y.1
Makarov, V.A.2
Velarde, M.G.3
-
28
-
-
0003492060
-
-
Applied Mathematical Sciences, Berlin: Springer
-
Hale JK: Functional Differential Equations. Applied Mathematical Sciences, Vol. 3. Berlin: Springer; 1971.
-
(1971)
Functional Differential Equations
, vol.3
-
-
Hale, J.K.1
-
30
-
-
0003687337
-
-
Applied Mathematical Sciences, New York: Springer-Verlag
-
Diekmann O, van Gils SA, Verduyn-Lunel SM, Walther HO: Delay Equations: functional-, complex-, and nonlinear analysis. Applied Mathematical Sciences, Vol. 110. New York: Springer-Verlag; 1995.
-
(1995)
Delay Equations: Functional-, Complex-, and Nonlinear Analysis
, vol.110
-
-
Diekmann, O.1
van Gils, S.A.2
Verduyn-Lunel, S.M.3
Walther, H.O.4
-
31
-
-
0039483059
-
Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
-
Engelborghs K, Luzyanina T, Roose D: Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL. ACM Trans. Math. Softw. 2002, 28:1-21.
-
(2002)
ACM Trans. Math. Softw
, vol.28
, pp. 1-21
-
-
Engelborghs, K.1
Luzyanina, T.2
Roose, D.3
-
34
-
-
84983719395
-
Role of persistent sodium current in bursting activity of mouse neocortical networks in vitro
-
Van Drongelen W, Koch H, Elsen FP, Lee HC, Mrejeru A, Doren E, Marcuccilli CJ, Hereld M, Stevens RL, Ramirez JM: Role of persistent sodium current in bursting activity of mouse neocortical networks in vitro. J Neurophysiol 2006, 96:2564-2577.
-
(2006)
J Neurophysiol
, vol.96
, pp. 2564-2577
-
-
van Drongelen, W.1
Koch, H.2
Elsen, F.P.3
Lee, H.C.4
Mrejeru, A.5
Doren, E.6
Marcuccilli, C.J.7
Hereld, M.8
Stevens, R.L.9
Ramirez, J.M.10
-
35
-
-
0037013883
-
Chaotic attractors in delayed neural networks
-
Lu H: Chaotic attractors in delayed neural networks. Physics Letters A 2002, 298(2-3):109-116.
-
(2002)
Physics Letters A
, vol.298
, Issue.2-3
, pp. 109-116
-
-
Lu, H.1
|