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Nichols EJ, Hutt A (2015) Neural field simulator: two-dimensional spatio-temporal dynamics involving finite transmission speed. Front Neuroinform 9:25 [PubMed]

   Neural Field Simulator (Nichols & Hutt 2012-2015)

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Atay FM,Hutt A (2006) Neural fields with distributed transmission speeds and long-range feedback delays SIAM J. Appl. Dyn. Syst. 5:670-698
Ball P (2015) Forging patterns and making waves from biology to geology: a commentary on Turing (1952) 'The chemical basis of morphogenesis'. Philos Trans R Soc Lond B Biol Sci [Journal] [PubMed]
beim_Graben P,Hutt A (2014) Attractor and saddle node dynamics in heterogeneous neural fields EPJ Nonlin. Biomed. Phys. 2:4
Brackley CA, Turner MS (2009) Persistent fluctuations of activity in undriven continuum neural field models with power-law connections. Phys Rev E Stat Nonlin Soft Matter Phys 79:011918 [Journal] [PubMed]
Bressloff PC (2001) Traveling fronts and wave propagation failure in an in homogeneous neural network Physica D 155:83-100
Bressloff PC (2011) Spatiotemporal dynamics of continuum neural fields J Phys A Math Theor 45(3):033001
Buckthought A, Kim J, Wilson HR (2008) Hysteresis effects in stereopsis and binocular rivalry. Vision Res 48:819-30 [Journal] [PubMed]
Buckwar (2007) Multi-step Maruyama methods for stochastic delay differential equations Stochastic Analysis and Applications 25:933-959
Buckwar E,Kuske R,Mohammed S,Shardlow T (2008) Weak convergence of the euler scheme for stochastic differential delay equations LMS J. Comput. Math. 11:60-99
Buckwar E,Winkler R (2006) Multi-step methods for sdes and their application to problems with small noise SIAM J. Num. Anal. 44:779-803
Carletti M (2006) Numerical solution of stochastic differential problems in the biosciences J. Comp. Appl. Math. 185:422-440
Coombes S (2005) Waves, bumps, and patterns in neural field theories. Biol Cybern 93:91-108 [Journal] [PubMed]
Coombes S, Owen MR (2005) Bumps, breathers, and waves in a neural network with spike frequency adaptation. Phys Rev Lett 94:148102 [Journal] [PubMed]
Coombes S, Venkov NA, Shiau L, Bojak I, Liley DT, Laing CR (2007) Modeling electrocortical activity through improved local approximations of integral neural field equations. Phys Rev E Stat Nonlin Soft Matter Phys 76:051901 [Journal] [PubMed]
Coombes S,beim_Graben P,Potthast R,Wright J (2014) Neural Fields: Theory and Applications, Coombes S:beim_Graben P:Potthast R:Wright J, ed.
Coombes S,Laing C,Schmidt H,Svanstedt N,Wyller J (2012) Waves in random neural media Disc. Cont. Dyn. Syst. A 32:2951-2970
Deco G, Jirsa VK, Robinson PA, Breakspear M, Friston K (2008) The dynamic brain: from spiking neurons to neural masses and cortical fields. PLoS Comput Biol 4:e1000092 [Journal] [PubMed]
Demeulemeester H, Vandesande F, Orban GA, Brandon C, Vanderhaeghen JJ (1988) Heterogeneity of GABAergic cells in cat visual cortex. J Neurosci 8:988-1000 [PubMed]
Elvin AJ, Laing CR, Roberts MG (2009) Transient Turing patterns in a neural field model. Phys Rev E Stat Nonlin Soft Matter Phys 79:011911 [Journal] [PubMed]
Faye G,Faugeras O (2010) Some theoretical and numerical results for delayed neural field equations Phys. D 239:561-578
Folias SE, Bressloff PC (2005) Breathers in two-dimensional neural media. Phys Rev Lett 95:208107 [Journal] [PubMed]
Friston KJ, Kahan J, Biswal B, Razi A (2014) A DCM for resting state fMRI. Neuroimage 94:396-407 [Journal] [PubMed]
Hashemi M, Hutt A, Sleigh J (2014) Anesthetic action on extra-synaptic receptors: effects in neural population models of EEG activity. Front Syst Neurosci 8:232 [Journal] [PubMed]
Hutt A (2007) Generalization of the reaction-diffusion, Swift-Hohenberg, and Kuramoto-Sivashinsky equations and effects of finite propagation speeds. Phys Rev E Stat Nonlin Soft Matter Phys 75:026214 [Journal] [PubMed]
Hutt A (2009) Oscillatory activity in excitable neural systems Contemp. Phys. 51:3-16
Hutt A, Atay FM (2006) Effects of distributed transmission speeds on propagating activity in neural populations. Phys Rev E Stat Nonlin Soft Matter Phys 73:021906 [Journal] [PubMed]
Hutt A, Bestehorn M, Wennekers T (2003) Pattern formation in intracortical neuronal fields. Network 14:351-68 [PubMed]
Hutt A, Buhry L (2014) Study of GABAergic extra-synaptic tonic inhibition in single neurons and neural populations by traversing neural scales: application to propofol-induced anaesthesia. J Comput Neurosci 37:417-37 [Journal] [PubMed]
Hutt A, Rougier N (2010) Activity spread and breathers induced by finite transmission speeds in two-dimensional neural fields. Phys Rev E Stat Nonlin Soft Matter Phys 82:055701 [Journal] [PubMed]
Hutt A, Sutherland C, Longtin A (2008) Driving neural oscillations with correlated spatial input and topographic feedback. Phys Rev E Stat Nonlin Soft Matter Phys 78:021911 [Journal] [PubMed]
Hutt A,Lefebvre J (2016) Stochastic center manifold analysis in scalar nonlinear systems involving distributed delays and additive noise Markov Process. Rel. Fields 22(3):555-572 [Journal]
Hutt A,Rougier N (2014) Numerical simulation scheme of one- and two-dimensional neural fields involving space-dependent delays Neural Field Theory, beim_Graben P:Coombes S:Potthast R:Wright J, ed. pp.175
Idiart MAP,Abbott LF (1993) Propagation of excitation in neural network models Netw. Comput. Neural Syst. 4:285-294
Jirsa VK, Haken H (1996) Field Theory of Electromagnetic Brain Activity. Phys Rev Lett 77:960-963 [Journal] [PubMed]
Jirsa VK, Jantzen KJ, Fuchs A, Kelso JA (2002) Spatiotemporal forward solution of the EEG and MEG using network modeling. IEEE Trans Med Imaging 21:493-504 [Journal] [PubMed]
Kilpatrick ZP,Bressloff PC (2010) Binocular rivalry in a competitive neural network with synaptic depression SIAM J. Appl. Dyn. Syst. 9:1303-1347
Laing C (2005) Spiral waves in nonlocal equations SIAM J. Appl. Dyn. Syst. 4:588-606
Langtangen HP (2006) Numerical computing in python Python Scripting for Computational Science, Texts in Computational Science and Engineering 3:131-181
Molaee-Ardekani B, Senhadji L, Shamsollahi MB, Vosoughi-Vahdat B, Wodey E (2007) Brain activity modeling in general anesthesia: enhancing local mean-field models using a slow adaptive firing rate. Phys Rev E Stat Nonlin Soft Matter Phys 76:041911 [Journal] [PubMed]
Nunez PL (1974) The brain wave function: A model for the EEG Math Biosci 21:279-297
Nunez PL (2000) Toward a quantitative description of large-scale neocortical dynamic function and EEG. Behav Brain Sci 23:371-98; discussion 399-437 [PubMed]
Nunez PL, Srinivasan R (2006) Electric fields of the brain: the neurophysics of EEG 2nd ed.
Owen MR,Laing CR,Coombes S (2007) Bumps and rings in a two-dimensional neural field: splitting and rotational instabilities New J. Phys. 9:378
Pinotsis D,Friston K (2014) Extracting novel information from neuroimaging data using neural fields EPJ Nonlin. Biomed. Phys. 2:5
Pinotsis DA, Moran RJ, Friston KJ (2012) Dynamic causal modeling with neural fields. Neuroimage 59:1261-74 [Journal] [PubMed]
Pinotsis DA, Schwarzkopf DS, Litvak V, Rees G, Barnes G, Friston KJ (2013) Dynamic causal modelling of lateral interactions in the visual cortex. Neuroimage 66:563-76 [Journal] [PubMed]
Pinto DJ, Ermentrout GB (2001) Spatially structured activity in synaptically coupled neuronal networks. I. Traveling fronts and pulses Siam J Appl Math 62:206-225
Qubbaj MR, Jirsa VK (2007) Neural field dynamics with heterogeneous connection topology. Phys Rev Lett 98:238102 [Journal] [PubMed]
Rosenkilde CE (1979) Functional heterogeneity of the prefrontal cortex in the monkey: a review. Behav Neural Biol 25:301-45 [PubMed]
Rossant C, Harris KD (2013) Hardware-accelerated interactive data visualization for neuroscience in Python. Front Neuroinform 7:36 [Journal] [PubMed]
Rougier N,Hutt A (2011) Synchronous and asynchronous evaluation of dynamic neural fields J. Diff. Equ. Appl. 17:1119-1133
Rougier NP, Fix J (2012) DANA: distributed numerical and adaptive modelling framework. Network 23:237-53 [Journal] [PubMed]
Sanz Leon P, Knock SA, Woodman MM, Domide L, Mersmann J, McIntosh AR, Jirsa V (2013) The Virtual Brain: a simulator of primate brain network dynamics. Front Neuroinform 7:10 [Journal] [PubMed]
Sanz-Leon P, Knock SA, Spiegler A, Jirsa VK (2015) Mathematical framework for large-scale brain network modeling in The Virtual Brain. Neuroimage 111:385-430 [Journal] [PubMed]
Schmidt H,Hutt A,Schimansky-Geier L (2009) Wave fronts in inhomogeneous neural field models Phys. D 238:1101-1112
Steyn-Ross ML,Steyn-Ross DA,Wilson MT,Sleigh JW (2010) Cortical patterns and gamma genesis are modulated by reversal potentials and gap-junction diffusion Modeling Phase Transitions in the Brain, Steyn-Ross DA:Steyn-Ross M, ed. pp.271
Stimberg M, Goodman DF, Benichoux V, Brette R (2014) Equation-oriented specification of neural models for simulations. Front Neuroinform 8:6 [Journal] [PubMed]
van_Loan C (1991) , Computational Frameworks for the Fast Fourier Transform, ed.
Veltz R, Faugeras O (2011) Stability of the stationary solutions of neural field equations with propagation delays. J Math Neurosci 1:1 [Journal] [PubMed]
Veltz R,Faugeras O (2013) A center manifold result for delayed neural fields equations SIAM J. Math. Anal. 45:1527-1562
Wang XJ (2010) Neurophysiological and computational principles of cortical rhythms in cognition. Physiol Rev 90:1195-268 [Journal] [PubMed]
Wang Y, Markram H, Goodman PH, Berger TK, Ma J, Goldman-Rakic PS (2006) Heterogeneity in the pyramidal network of the medial prefrontal cortex. Nat Neurosci 9:534-42 [Journal] [PubMed]
Wertheimer M,Spillmann L,Sarris V,Sekuler R (2012) On Perceived Motion and Figural Organization
Wright J,Kydd R (1992) The electroencephalogram and cortical neural networks Network 3:341-362
Wright JJ, Liley DT (1994) A millimetric-scale simulation of electrocortical wave dynamics based on anatomical estimates of cortical synaptic density. Computation In Neural Systems 5:191-202
(66 refs)