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

See more from authors: Nichols EJ · Hutt A

References and models cited by this paper

Abbott LF, Idiart MAP. (1993). Propagation of excitation in neural network models Netw. Comput. Neural Syst.. 4

Ball P. (2015). Forging patterns and making waves from biology to geology: a commentary on Turing (1952) 'The chemical basis of morphogenesis'. Philosophical transactions of the Royal Society of London. Series B, Biological sciences. 370 [PubMed]

Beim_graben P, Hutt A. (2014). Attractor and saddle node dynamics in heterogeneous neural fields EPJ Nonlin. Biomed. Phys.. 2

Brackley CA, Turner MS. (2009). Persistent fluctuations of activity in undriven continuum neural field models with power-law connections. Physical review. E, Statistical, nonlinear, and soft matter physics. 79 [PubMed]

Bressloff PC. (2001). Traveling fronts and wave propagation failure in an in homogeneous neural network Physica D. 155

Bressloff PC. (2011). Spatiotemporal dynamics of continuum neural fields J Phys A Math Theor. 45(3)

Bressloff PC, Kilpatrick ZP. (2010). Binocular rivalry in a competitive neural network with synaptic depression SIAM J. Appl. Dyn. Syst.. 9

Buckthought A, Kim J, Wilson HR. (2008). Hysteresis effects in stereopsis and binocular rivalry. Vision research. 48 [PubMed]

Buckwar . (2007). Multi-step Maruyama methods for stochastic delay differential equations Stochastic Analysis and Applications. 25

Buckwar E, Winkler R. (2006). Multi-step methods for sdes and their application to problems with small noise SIAM J. Num. Anal.. 44

Carletti M. (2006). Numerical solution of stochastic differential problems in the biosciences J. Comp. Appl. Math.. 185

Coombes S. (2005). Waves, bumps, and patterns in neural field theories. Biological cybernetics. 93 [PubMed]

Coombes S, Beim_graben P, Potthast R, Wright J. (2014). Neural Fields: Theory and Applications.

Coombes S, Owen MR. (2005). Bumps, breathers, and waves in a neural network with spike frequency adaptation. Physical review letters. 94 [PubMed]

Coombes S et al. (2007). Modeling electrocortical activity through improved local approximations of integral neural field equations. Physical review. E, Statistical, nonlinear, and soft matter physics. 76 [PubMed]

Deco G, Jirsa VK, Robinson PA, Breakspear M, Friston K. (2008). The dynamic brain: from spiking neurons to neural masses and cortical fields. PLoS computational biology. 4 [PubMed]

Demeulemeester H, Vandesande F, Orban GA, Brandon C, Vanderhaeghen JJ. (1988). Heterogeneity of GABAergic cells in cat visual cortex. The Journal of neuroscience : the official journal of the Society for Neuroscience. 8 [PubMed]

Elvin AJ, Laing CR, Roberts MG. (2009). Transient Turing patterns in a neural field model. Physical review. E, Statistical, nonlinear, and soft matter physics. 79 [PubMed]

Ermentrout GB, Pinto DJ. (2001). Spatially structured activity in synaptically coupled neuronal networks. I. Traveling fronts and pulses Siam J Appl Math. 62

Faugeras O, Faye G. (2010). Some theoretical and numerical results for delayed neural field equations Phys. D. 239

Faugeras O, Veltz R. (2013). A center manifold result for delayed neural fields equations SIAM J. Math. Anal.. 45

Folias SE, Bressloff PC. (2005). Breathers in two-dimensional neural media. Physical review letters. 95 [PubMed]

Friston K, Pinotsis D. (2014). Extracting novel information from neuroimaging data using neural fields EPJ Nonlin. Biomed. Phys.. 2

Friston KJ, Kahan J, Biswal B, Razi A. (2014). A DCM for resting state fMRI. NeuroImage. 94 [PubMed]

Hashemi M, Hutt A, Sleigh J. (2014). Anesthetic action on extra-synaptic receptors: effects in neural population models of EEG activity. Frontiers in systems neuroscience. 8 [PubMed]

Hines ML, Carnevale NT. (2006). The NEURON Book.

Hutt A. (2007). Generalization of the reaction-diffusion, Swift-Hohenberg, and Kuramoto-Sivashinsky equations and effects of finite propagation speeds. Physical review. E, Statistical, nonlinear, and soft matter physics. 75 [PubMed]

Hutt A. (2009). Oscillatory activity in excitable neural systems Contemp. Phys.. 51

Hutt A, Atay FM. (2006). Neural fields with distributed transmission speeds and long-range feedback delays SIAM J. Appl. Dyn. Syst.. 5

Hutt A, Atay FM. (2006). Effects of distributed transmission speeds on propagating activity in neural populations. Physical review. E, Statistical, nonlinear, and soft matter physics. 73 [PubMed]

Hutt A, Bestehorn M, Wennekers T. (2003). Pattern formation in intracortical neuronal fields. Network (Bristol, England). 14 [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. Journal of computational neuroscience. 37 [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)

Hutt A, Rougier N. (2010). Activity spread and breathers induced by finite transmission speeds in two-dimensional neural fields. Physical review. E, Statistical, nonlinear, and soft matter physics. 82 [PubMed]

Hutt A, Rougier N. (2011). Synchronous and asynchronous evaluation of dynamic neural fields J. Diff. Equ. Appl.. 17

Hutt A, Rougier N. (2014). Numerical simulation scheme of one- and two-dimensional neural fields involving space-dependent delays Neural Field Theory.

Hutt A, Sutherland C, Longtin A. (2008). Driving neural oscillations with correlated spatial input and topographic feedback. Physical review. E, Statistical, nonlinear, and soft matter physics. 78 [PubMed]

Jirsa VK, Haken H. (1996). Field Theory of Electromagnetic Brain Activity. Physical review letters. 77 [PubMed]

Jirsa VK, Jantzen KJ, Fuchs A, Kelso JA. (2002). Spatiotemporal forward solution of the EEG and MEG using network modeling. IEEE transactions on medical imaging. 21 [PubMed]

Kuske R, Shardlow T, Buckwar E, Mohammed S. (2008). Weak convergence of the euler scheme for stochastic differential delay equations LMS J. Comput. Math.. 11

Laing C. (2005). Spiral waves in nonlocal equations SIAM J. Appl. Dyn. Syst.. 4

Laing CR, Coombes S, Owen MR. (2007). Bumps and rings in a two-dimensional neural field: splitting and rotational instabilities New J. Phys.. 9

Langtangen HP. (2006). Numerical computing in python Python Scripting for Computational Science, Texts in Computational Science and Engineering. 3

Liley DT, Wright JJ. (1994). A millimetric-scale simulation of electrocortical wave dynamics based on anatomical estimates of cortical synaptic density. Computation In Neural Systems. 5

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. Physical review. E, Statistical, nonlinear, and soft matter physics. 76 [PubMed]

Nunez PL. (1974). The brain wave function: A model for the EEG Math Biosci. 21

Nunez PL. (2000). Toward a quantitative description of large-scale neocortical dynamic function and EEG. The Behavioral and brain sciences. 23 [PubMed]

Nunez PL, Srinivasan R. (2006). Electric fields of the brain: the neurophysics of EEG 2nd ed..

Pinotsis DA, Moran RJ, Friston KJ. (2012). Dynamic causal modeling with neural fields. NeuroImage. 59 [PubMed]

Pinotsis DA et al. (2013). Dynamic causal modelling of lateral interactions in the visual cortex. NeuroImage. 66 [PubMed]

Qubbaj MR, Jirsa VK. (2007). Neural field dynamics with heterogeneous connection topology. Physical review letters. 98 [PubMed]

Rosenkilde CE. (1979). Functional heterogeneity of the prefrontal cortex in the monkey: a review. Behavioral and neural biology. 25 [PubMed]

Rossant C, Harris KD. (2013). Hardware-accelerated interactive data visualization for neuroscience in Python. Frontiers in neuroinformatics. 7 [PubMed]

Rougier NP, Fix J. (2012). DANA: distributed numerical and adaptive modelling framework. Network (Bristol, England). 23 [PubMed]

Sanz Leon P et al. (2013). The Virtual Brain: a simulator of primate brain network dynamics. Frontiers in neuroinformatics. 7 [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 [PubMed]

Schmidt H, Laing C, Coombes S, Wyller J, Svanstedt N. (2012). Waves in random neural media Disc. Cont. Dyn. Syst. A. 32

Schmidt H, Schimansky-geier L, Hutt A. (2009). Wave fronts in inhomogeneous neural field models Phys. D. 238

Sekuler R, Spillmann L, Wertheimer M, Sarris V. (2012). On Perceived Motion and Figural Organization.

Steyn-Ross ML, Steyn-Ross DA, Sleigh JW, Wilson MT. (2010). Cortical patterns and gamma genesis are modulated by reversal potentials and gap-junction diffusion Modeling Phase Transitions in the Brain. 4

Stimberg M, Goodman DF, Benichoux V, Brette R. (2014). Equation-oriented specification of neural models for simulations. Frontiers in neuroinformatics. 8 [PubMed]

Van_loan C. (1991). .

Veltz R, Faugeras O. (2011). Stability of the stationary solutions of neural field equations with propagation delays. Journal of mathematical neuroscience. 1 [PubMed]

Wang XJ. (2010). Neurophysiological and computational principles of cortical rhythms in cognition. Physiological reviews. 90 [PubMed]

Wang Y et al. (2006). Heterogeneity in the pyramidal network of the medial prefrontal cortex. Nature neuroscience. 9 [PubMed]

Wright J, Kydd R. (1992). The electroencephalogram and cortical neural networks Network. 3

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.