{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T21:44:09Z","timestamp":1774647849523,"version":"3.50.1"},"update-to":[{"DOI":"10.1371\/journal.pcbi.1006387","type":"new_version","label":"New version","source":"publisher","updated":{"date-parts":[[2018,9,4]],"date-time":"2018-09-04T00:00:00Z","timestamp":1536019200000}}],"reference-count":104,"publisher":"Public Library of Science (PLoS)","issue":"8","license":[{"start":{"date-parts":[[2018,8,22]],"date-time":"2018-08-22T00:00:00Z","timestamp":1534896000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Australian Research Council - Laureate Fellowship","award":["FL1401000025"],"award-info":[{"award-number":["FL1401000025"]}]},{"name":"Centre of Excellence Integrative Brain Function Australian Research Council","award":["CE140100007"],"award-info":[{"award-number":["CE140100007"]}]}],"content-domain":{"domain":["www.ploscompbiol.org"],"crossmark-restriction":false},"short-container-title":["PLoS Comput Biol"],"DOI":"10.1371\/journal.pcbi.1006387","type":"journal-article","created":{"date-parts":[[2018,8,22]],"date-time":"2018-08-22T13:25:06Z","timestamp":1534944306000},"page":"e1006387","update-policy":"https:\/\/doi.org\/10.1371\/journal.pcbi.corrections_policy","source":"Crossref","is-referenced-by-count":47,"title":["NFTsim: Theory and Simulation of Multiscale Neural Field Dynamics"],"prefix":"10.1371","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1545-6380","authenticated-orcid":true,"given":"Paula","family":"Sanz-Leon","sequence":"first","affiliation":[]},{"given":"Peter A.","family":"Robinson","sequence":"additional","affiliation":[]},{"given":"Stuart A.","family":"Knock","sequence":"additional","affiliation":[]},{"given":"Peter M.","family":"Drysdale","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9618-6457","authenticated-orcid":true,"given":"Romesh G.","family":"Abeysuriya","sequence":"additional","affiliation":[]},{"given":"Felix K.","family":"Fung","sequence":"additional","affiliation":[]},{"given":"Chris J.","family":"Rennie","sequence":"additional","affiliation":[]},{"given":"Xuelong","family":"Zhao","sequence":"additional","affiliation":[]}],"member":"340","published-online":{"date-parts":[[2018,8,22]]},"reference":[{"issue":"1457","key":"ref1","doi-asserted-by":"crossref","first-page":"1043","DOI":"10.1098\/rstb.2005.1638","article-title":"Multiscale brain modelling","volume":"360","author":"PA Robinson","year":"2005","journal-title":"Phil Trans R Soc B"},{"key":"ref2","doi-asserted-by":"crossref","first-page":"826","DOI":"10.1103\/PhysRevE.56.826","article-title":"Propagation and stability of waves of electrical activity in the cortex","volume":"56","author":"PA Robinson","year":"1997","journal-title":"Phys Rev E"},{"key":"ref3","first-page":"283","article-title":"Spike, rate, field, and hybrid methods for treating neuronal dynamics and interactions","volume":"205","author":"PA Robinson","year":"2012","journal-title":"Comp Neurosci"},{"issue":"3","key":"ref4","doi-asserted-by":"crossref","first-page":"1947","DOI":"10.1016\/j.neuroimage.2012.05.054","article-title":"Quantitative theory of driven nonlinear brain dynamics","volume":"62","author":"JA Roberts","year":"2012","journal-title":"Neuroimage"},{"issue":"1","key":"ref5","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1016\/j.jtbi.2008.03.005","article-title":"Modeling absence seizure dynamics: implications for basic mechanisms and measurement of thalamocortical and corticothalamic latencies","volume":"253","author":"JA Roberts","year":"2008","journal-title":"J Theor Biol"},{"key":"ref6","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1016\/j.jtbi.2013.11.013","article-title":"Prediction and verification of nonlinear sleep spindle harmonic oscillations","volume":"344","author":"RG Abeysuriya","year":"2014","journal-title":"J Theor Biol"},{"issue":"10","key":"ref7","article-title":"The Virtual Brain: A simulator of primate brain network dynamics","volume":"7","author":"P Sanz-Leon","year":"2013","journal-title":"Front Neuroinform"},{"issue":"25","key":"ref8","article-title":"Neural Field Simulator: Two-dimensional spatio-temporal dynamics involving finite transmission speed","volume":"9","author":"EJ Nichols","year":"2015","journal-title":"Front Neuroinf"},{"issue":"3","key":"ref9","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1007\/s10827-007-0038-6","article-title":"Simulation of networks of spiking neurons: A review of tools and strategies","volume":"23","author":"R Brette","year":"2007","journal-title":"J Comput Neurosci"},{"issue":"8","key":"ref10","doi-asserted-by":"crossref","first-page":"e1000092","DOI":"10.1371\/journal.pcbi.1000092","article-title":"The dynamic brain: from spiking neurons to neural masses and cortical fields","volume":"4","author":"G Deco","year":"2008","journal-title":"PLoS Comput Biol"},{"issue":"1","key":"ref11","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1007\/s10827-010-0302-z","article-title":"Firing responses of bursting neurons with delayed feedback","volume":"31","author":"H Wu","year":"2011","journal-title":"J Comput Neurosci"},{"issue":"2","key":"ref12","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1109\/10.16463","article-title":"Realistic conductivity geometry model of the human head for interpretation of neuromagnetic data","volume":"36","author":"MS H\u00e4m\u00e4l\u00e4inen","year":"1989","journal-title":"IEEE Trans Biomed Eng"},{"issue":"2","key":"ref13","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1007\/BF01129036","article-title":"Magnetoencephalography: A tool for functional brain imaging","volume":"5","author":"MS H\u00e4m\u00e4l\u00e4inen","year":"1992","journal-title":"Brain Topogr"},{"issue":"2","key":"ref14","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1103\/RevModPhys.65.413","article-title":"Magnetoencephalography-theory, instrumentation, and applications to noninvasive studies of the working human brain","volume":"65","author":"MS H\u00e4m\u00e4l\u00e4inen","year":"1993","journal-title":"Rev Mod Phys"},{"key":"ref15","article-title":"Single neurons, populations, plasticity","author":"W Gerstner","year":"2002"},{"issue":"6","key":"ref16","doi-asserted-by":"crossref","first-page":"1569","DOI":"10.1109\/TNN.2003.820440","article-title":"Simple model of spiking neurons","volume":"14","author":"EM Izhikevich","year":"2003","journal-title":"IEEE Trans Neural Netw"},{"key":"ref17","first-page":"5","article-title":"Brian: A simulator for spiking neural networks in python","volume":"2","author":"DFM Goodman","year":"2008","journal-title":"Front Neuroinform"},{"issue":"6","key":"ref18","doi-asserted-by":"crossref","first-page":"1503","DOI":"10.1162\/NECO_a_00123","article-title":"Vectorized algorithms for spiking neural network simulation","volume":"23","author":"R Brette","year":"2011","journal-title":"Neural Comput"},{"issue":"1","key":"ref19","article-title":"NEURON and Python","volume":"3","author":"ML Hines","year":"2009","journal-title":"Front Neuroinf"},{"issue":"4","key":"ref20","doi-asserted-by":"crossref","first-page":"1430","DOI":"10.4249\/scholarpedia.1430","article-title":"NEST (Neural Simulation Tool)","volume":"2","author":"M Gewaltig","year":"2007","journal-title":"Scholarpedia"},{"key":"ref21","doi-asserted-by":"crossref","first-page":"11","DOI":"10.3389\/neuro.11.011.2009","article-title":"PCSIM: A Parallel Simulation Environment for Neural Circuits Fully Integrated with Python","volume":"3","author":"D Pecevski","year":"2009","journal-title":"Front Neuroinform"},{"key":"ref22","doi-asserted-by":"crossref","first-page":"19","DOI":"10.3389\/fninf.2013.00019","article-title":"A novel CPU\/GPU simulation environment for large-scale biologically realistic neural modeling","volume":"7","author":"RV Hoang","year":"2013","journal-title":"Front Neuroinf"},{"issue":"3","key":"ref23","doi-asserted-by":"crossref","first-page":"970","DOI":"10.1016\/j.neuroimage.2009.12.027","article-title":"Whole-brain anatomical networks: does the choice of nodes matter?","volume":"5","author":"A Zalesky","year":"2010","journal-title":"Neuroimage"},{"key":"ref24","doi-asserted-by":"crossref","first-page":"704","DOI":"10.1016\/j.neuroimage.2013.06.018","article-title":"Systematic approximations of neural fields through networks of neural masses in the virtual brain","volume":"83C","author":"A Spiegler","year":"2013","journal-title":"Neuroimage"},{"issue":"3","key":"ref25","doi-asserted-by":"crossref","first-page":"340","DOI":"10.1038\/nn.4497","article-title":"Dynamic models of large-scale brain activity","volume":"20","author":"M Breakspear","year":"2017","journal-title":"Nature Rev Neurosci"},{"key":"ref26","first-page":"39","article-title":"Cortical information flow in Parkinson\u2019s disease: A composite network\/field model","volume":"7","author":"CC Kerr","year":"2013","journal-title":"Front Comput Neurosci"},{"issue":"1","key":"ref27","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1016\/j.clinph.2009.09.021","article-title":"Neurophysiological changes with age probed by inverse modeling of EEG spectra","volume":"121","author":"SJ van Albada","year":"2010","journal-title":"Clin Neurophysiol"},{"issue":"6","key":"ref28","doi-asserted-by":"crossref","first-page":"457","DOI":"10.1007\/s00422-002-0310-9","article-title":"Unified neurophysical model of EEG spectra and evoked potentials","volume":"86","author":"CJ Rennie","year":"2002","journal-title":"Biol Cybern"},{"key":"ref29","doi-asserted-by":"crossref","first-page":"041924","DOI":"10.1103\/PhysRevE.65.041924","article-title":"Dynamics of large-scale brain activity in normal arousal states and epileptic seizures","volume":"65","author":"PA Robinson","year":"2002","journal-title":"Phys Rev E"},{"issue":"10","key":"ref30","doi-asserted-by":"crossref","first-page":"2016","DOI":"10.1016\/j.clinph.2014.01.025","article-title":"Experimental observation of a theoretically predicted nonlinear sleep spindle harmonic in human EEG","volume":"125","author":"RG Abeysuriya","year":"2014","journal-title":"J Clin Neurophysiol"},{"issue":"3","key":"ref31","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1016\/j.jtbi.2004.07.004","article-title":"Estimation of neurophysiological parameters from the waking EEG using a biophysical model of brain dynamics","volume":"231","author":"DL Rowe","year":"2004","journal-title":"J Theor Biol"},{"key":"ref32","doi-asserted-by":"crossref","first-page":"3557","DOI":"10.1103\/PhysRevE.58.3557","article-title":"Steady states and global dynamics of electrical activity in the cerebral cortex","volume":"58","author":"PA Robinson","year":"1998","journal-title":"Phys Rev E"},{"issue":"1","key":"ref33","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1002\/hbm.20032","article-title":"Estimation of multiscale neurophysiologic parameters by electroencephalographic means","volume":"23","author":"PA Robinson","year":"2004","journal-title":"Hum Brain Mapp"},{"key":"ref34","doi-asserted-by":"crossref","first-page":"021922","DOI":"10.1103\/PhysRevE.68.021922","article-title":"Nonuniform corticothalamic continuum model of electroencephalographic spectra with application to split-alpha peaks","volume":"68","author":"PA Robinson","year":"2003","journal-title":"Phys Rev E"},{"key":"ref35","doi-asserted-by":"crossref","first-page":"134","DOI":"10.1016\/j.clinph.2010.05.030","article-title":"Model-based analysis and quantification of age trends in auditory evoked potentials","volume":"122","author":"CC Kerr","year":"2011","journal-title":"Clin Neurophysiol"},{"issue":"9","key":"ref36","doi-asserted-by":"crossref","first-page":"1296","DOI":"10.1093\/cercor\/bhj072","article-title":"A unifying explanation of primary generalized seizures through nonlinear brain modeling and bifurcation analysis","volume":"16","author":"M Breakspear","year":"2006","journal-title":"Cereb Cortex"},{"key":"ref37","doi-asserted-by":"crossref","first-page":"72","DOI":"10.1016\/j.jtbi.2013.01.013","article-title":"Neural field theory of calcium dependent plasticity with applications to transcranial magnetic stimulation","volume":"324","author":"PK Fung","year":"2013","journal-title":"J Theor Biol"},{"issue":"7","key":"ref38","doi-asserted-by":"crossref","first-page":"164","DOI":"10.1016\/j.jtbi.2013.09.021","article-title":"Neural field theory of synaptic metaplasticity with applications to theta burst stimulation","volume":"340","author":"PK Fung","year":"2014","journal-title":"J Theor Biol"},{"key":"ref39","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1016\/j.jneumeth.2015.06.002","article-title":"Physiologically based arousal state estimation and dynamics","volume":"253","author":"RG Abeysuriya","year":"2015","journal-title":"J Neurosci Meth"},{"key":"ref40","doi-asserted-by":"crossref","first-page":"44","DOI":"10.1016\/j.jtbi.2012.09.030","article-title":"Neural field theory of large-scale synaptic plasticity in the cerebral cortex","volume":"318","author":"PK Fung","year":"2013","journal-title":"J Theor Biol"},{"key":"ref41","doi-asserted-by":"crossref","first-page":"156","DOI":"10.1016\/j.jtbi.2011.06.023","article-title":"Neural Field Theory of Synaptic Plasticity","volume":"285","author":"PA Robinson","year":"2011","journal-title":"J Theor Biol"},{"issue":"3","key":"ref42","doi-asserted-by":"crossref","first-page":"499","DOI":"10.1007\/s10827-013-0485-1","article-title":"Numerical modelling of plasticity induced by transcranial magnetic stimulation","volume":"36","author":"MT Wilson","year":"2013","journal-title":"J Comp Neurosci"},{"key":"ref43","doi-asserted-by":"crossref","first-page":"041909","DOI":"10.1103\/PhysRevE.63.041909","article-title":"Modal analysis of corticothalamic dynamics, electroencephalographic spectra, and evoked potentials","volume":"63","author":"PA Robinson","year":"2001","journal-title":"Phys Rev E"},{"issue":"1","key":"ref44","doi-asserted-by":"crossref","first-page":"012707","DOI":"10.1103\/PhysRevE.90.012707","article-title":"Determination of effective brain connectivity from functional connectivity with application to resting state connectivities","volume":"90","author":"PA Robinson","year":"2014","journal-title":"Phys Rev E"},{"key":"ref45","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1007\/BF00339367","article-title":"Homogeneous nets of neuron-like elements","volume":"17","author":"S Amari","year":"1975","journal-title":"Biol Cybern"},{"key":"ref46","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1007\/BF00337259","article-title":"Dynamics of pattern formation in lateral inhibition type neural fields","volume":"27","author":"S Amari","year":"1977","journal-title":"Biol Cybern"},{"key":"ref47","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1007\/BF00288786","article-title":"A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue","volume":"13","author":"HR Wilson","year":"1973","journal-title":"Kybernetik"},{"key":"ref48","article-title":"Mass Action in the Nervous System","author":"WJ Freeman","year":"1975"},{"key":"ref49","article-title":"Neocortical Dynamics and Human EEG Rhythms","author":"PL Nunez","year":"1995"},{"key":"ref50","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1017\/S0140525X00042679","article-title":"Dynamics of the brain at global and microscopic scales: Neural networks and the EEG","volume":"19","author":"JJ Wright","year":"1996","journal-title":"Behav Brain Sci"},{"key":"ref51","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1007\/BF00270757","article-title":"Model of brain rhythmic activity. The alpha-rhythm of the thalamus","volume":"15","author":"FH Lopes da Silva","year":"1974","journal-title":"Kybernetik"},{"issue":"4","key":"ref52","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1088\/0034-4885\/61\/4\/002","article-title":"Neural networks as spatio-temporal pattern-forming systems","volume":"61","author":"B Ermentrout","year":"1998","journal-title":"Rep Prog Phys"},{"key":"ref53","doi-asserted-by":"crossref","first-page":"960","DOI":"10.1103\/PhysRevLett.77.960","article-title":"Field Theory of Electromagnetic Brain Activity","volume":"77","author":"VK Jirsa","year":"1996","journal-title":"Phys Rev Lett"},{"key":"ref54","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1016\/j.neuroimage.2015.01.002","article-title":"Mathematical framework for large-scale brain network modeling in The Virtual Brain","volume":"111","author":"P Sanz-Leon","year":"2015","journal-title":"Neuroimage"},{"key":"ref55","article-title":"Handbook for the Brain Dynamics Toolbox","author":"S Heitmann","year":"2017"},{"key":"ref56","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1016\/j.jtbi.2017.06.016","article-title":"Unified neural field theory of brain dynamics underlying oscillations in Parkinson\u2019s disease and generalized epilepsies","volume":"428","author":"EJ M\u00fcller","year":"2017","journal-title":"J Theor Biol"},{"issue":"4","key":"ref57","doi-asserted-by":"crossref","first-page":"042410","DOI":"10.1103\/PhysRevE.95.042410","article-title":"Critical dynamics of Hopf bifurcations in the corticothalamic system: Transitions from normal arousal states to epileptic seizures","volume":"95","author":"DP Yang","year":"2017","journal-title":"Phys Rev E"},{"issue":"2","key":"ref58","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1007\/s10827-015-0571-7","article-title":"Generalized seizures in a neural field model with bursting dynamics","volume":"39","author":"X Zhao","year":"2015","journal-title":"J Comput Neurosci"},{"issue":"1","key":"ref59","doi-asserted-by":"crossref","first-page":"e1000653","DOI":"10.1371\/journal.pcbi.1000653","article-title":"Axonal velocity distributions in neural field equations","volume":"6","author":"I Bojak","year":"2010","journal-title":"PLoS Comput Biol"},{"key":"ref60","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1002\/hbm.20032","article-title":"Estimation of multiscale neurophysiologic parameters by electroencephalographic means","volume":"23","author":"PA Robinson","year":"2004","journal-title":"Hum Brain Mapp"},{"issue":"6","key":"ref61","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1103\/PhysRevE.66.061905","article-title":"Wave-number spectrum of electroencephalographic signals","volume":"66","author":"SC O\u2019Connor","year":"2002","journal-title":"Phys Rev E"},{"issue":"6-1","key":"ref62","doi-asserted-by":"crossref","first-page":"062719","DOI":"10.1103\/PhysRevE.91.062719","article-title":"Neural field theory of nonlinear wave-wave and wave-neuron processes","volume":"91","author":"PA Robinson","year":"2015","journal-title":"Phys Rev E"},{"key":"ref63","doi-asserted-by":"crossref","first-page":"051901","DOI":"10.1103\/PhysRevE.78.051901","article-title":"Modeling distributed axonal delays in mean-field brain dynamics","volume":"78","author":"JA Roberts","year":"2008","journal-title":"Phys Rev E"},{"key":"ref64","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1109\/TBME.1974.324336","article-title":"Wavelike properties of the alpha rhythm","volume":"21","author":"PL Nunez","year":"1974","journal-title":"IEEE Trans Biomed Eng"},{"key":"ref65","doi-asserted-by":"crossref","first-page":"7299","DOI":"10.1103\/PhysRevE.60.7299","article-title":"Theoretical electroencephalogram stationary spectrum for a white-noise-driven cortex: Evidence for a general anesthetic-induced phase transition","volume":"60","author":"ML Steyn-Ross","year":"1999","journal-title":"Phys Rev E"},{"key":"ref66","article-title":"Principles of Neural Science","author":"ER Kandel","year":"2000"},{"key":"ref67","doi-asserted-by":"crossref","first-page":"1549","DOI":"10.1038\/nn1802","article-title":"Propagating waves mediate information transfer in the motor cortex","volume":"9","author":"D Rubino","year":"2006","journal-title":"Nat Neurosci"},{"key":"ref68","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1016\/j.neuron.2007.06.016","article-title":"Compression and reflection of visually evoked cortical waves","volume":"55","author":"W Xu","year":"2007","journal-title":"Neuron"},{"key":"ref69","doi-asserted-by":"crossref","first-page":"178102","DOI":"10.1103\/PhysRevLett.98.178102","article-title":"Dynamical evolution of spatiotemporal patterns in mammalian middle cortex","volume":"98","author":"SJ Schiff","year":"2007","journal-title":"Phys Rev Lett"},{"key":"ref70","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1098\/rstb.1956.0012","article-title":"Properties of a Mass of Cells Capable of Regenerating Pulses","volume":"240","author":"RL Beurle","year":"1956","journal-title":"Phil Trans R Soc B"},{"key":"ref71","doi-asserted-by":"crossref","first-page":"011904-1","DOI":"10.1103\/PhysRevE.72.011904","article-title":"Propagator theory of brain dynamics","volume":"72","author":"PA Robinson","year":"2005","journal-title":"Phys Rev E"},{"key":"ref72","article-title":"ISO International Standard 8601\u2014Date and time format","year":"2004"},{"key":"ref73","article-title":"International Standard ISO\/IEC 14882:2011\u2014Information Technology\u2014Programming Languages\u2014C++","year":"2011"},{"key":"ref74","article-title":"Overview of the new C++ (C++11\/14)","author":"S Meyers","year":"2015"},{"key":"ref75","article-title":"Numerical Recipes in C: The Art of Scientific Computing","author":"WH Press","year":"1992"},{"key":"ref76","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1016\/j.jtbi.2017.07.015","article-title":"Multistability in the corticothalamic system","volume":"432","author":"P Sanz-Leon","year":"2017","journal-title":"J Theor Biol"},{"key":"ref77","doi-asserted-by":"crossref","first-page":"110","DOI":"10.1103\/PhysRevE.70.011911","article-title":"Spatially uniform and nonuniform analyses of electroencephalographic dynamics, with application to the topography of the alpha rhythm","volume":"70","author":"SC O\u2019Connor","year":"2004","journal-title":"Phys Rev E"},{"key":"ref78","first-page":"386","article-title":"Unifying and interpreting the spectral wavenumber content of EEGs, ECoGs, and ERPs","volume":"231","author":"SC O\u2019Connor","year":"2004","journal-title":"J Theor Biol"},{"issue":"1","key":"ref79","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1371\/journal.pcbi.1005265","article-title":"Ten Simple Rules for Developing Usable Software in Computational Biology","volume":"13","author":"M List","year":"2017","journal-title":"PLoS Comput Biol"},{"issue":"2","key":"ref80","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1147\/rd.112.0215","article-title":"On the Partial Difference Equations of Mathematical Physics","volume":"11","author":"R Courant","year":"1967","journal-title":"IBM J Res Dev"},{"key":"ref81","unstructured":"Rennie C. Modeling the large-scale electrical activity of the brain. Ph.D. Thesis. The University of Sydney. 2001. Available from: <ext-link xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" ext-link-type=\"uri\" xlink:href=\"http:\/\/www.brain-dynamics.net\/~chris_rennie\/thesis\/thesis.pdf\" xlink:type=\"simple\">http:\/\/www.brain-dynamics.net\/~chris_rennie\/thesis\/thesis.pdf<\/ext-link>."},{"key":"ref82","unstructured":"Hamilton B, Bilbao S. On finite difference schemes for the 3D wave equation using non-cartesian grids. In: Proceedings of Stockholm Musical Acoustics Conference\/Sound and Music Computing Conference; 2013. pp.592\u2013599."},{"key":"ref83","doi-asserted-by":"crossref","first-page":"524","DOI":"10.1016\/j.jtbi.2010.05.026","article-title":"Spatiotemporal BOLD dynamics from a poroelastic hemodynamic model","volume":"265","author":"PM Drysdale","year":"2010","journal-title":"J Theor Biol"},{"issue":"3","key":"ref84","doi-asserted-by":"crossref","first-page":"e1002435","DOI":"10.1371\/journal.pcbi.1002435","article-title":"Hemodynamic traveling waves in human visual cortex","volume":"8","author":"KM Aquino","year":"2012","journal-title":"PLoS Comput Biol"},{"issue":"2","key":"ref85","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1007\/s00422-007-0201-1","article-title":"Physiology-based modeling of cortical auditory evoked potentials","volume":"98","author":"CC Kerr","year":"2008","journal-title":"Biol Cybern"},{"key":"ref86","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1006\/jtbi.2000.2040","article-title":"Mechanisms of cortical electrical activity and emergence of gamma rhythm","volume":"205","author":"CJ Rennie","year":"2000","journal-title":"J Theor Biol"},{"key":"ref87","doi-asserted-by":"crossref","first-page":"3320","DOI":"10.1103\/PhysRevE.59.3320","article-title":"Effects of local feedback on dispersion of electrical waves in the cerebral cortex","volume":"59","author":"CJ Rennie","year":"1999","journal-title":"Phys Rev E"},{"key":"ref88","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1016\/j.jtbi.2008.08.010","article-title":"Mean field model of acetylcholine mediated dynamics in the thalamocortical system","volume":"255","author":"JM Clearwater","year":"2008","journal-title":"J Theor Biol"},{"issue":"7","key":"ref89","doi-asserted-by":"crossref","first-page":"814","DOI":"10.1109\/10.686789","article-title":"Spatial Filtering and Neocortical Dynamics: Estimates of EEG coherence","volume":"45","author":"R Srinivasan","year":"1998","journal-title":"IEEE Trans Biomed Eng"},{"issue":"1","key":"ref90","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1002\/mrm.1910160103","article-title":"Magnetic resonance imaging of blood vessels at high fields: in vivo and in vitro measurements and image simulation","volume":"16","author":"S Ogawa","year":"1990","journal-title":"Magn Reson Med"},{"issue":"11","key":"ref91","doi-asserted-by":"crossref","first-page":"874","DOI":"10.1038\/nrn1536","article-title":"VSDI: A new era in functional imaging of cortical dynamics","volume":"5","author":"A Grinvald","year":"2004","journal-title":"Nat Rev Neurosci"},{"issue":"2","key":"ref92","doi-asserted-by":"crossref","first-page":"420","DOI":"10.1016\/j.neuroimage.2010.06.026","article-title":"A biophysical cortical column model to study the multi-component origin of the VSDI signal","volume":"53","author":"S Chemla","year":"2010","journal-title":"NeuroImage"},{"issue":"4","key":"ref93","doi-asserted-by":"crossref","first-page":"4160","DOI":"10.1016\/j.neuroimage.2011.11.088","article-title":"StimTB, a simulation toolbox for fMRI data under a model of spatiotemporal separability","volume":"59","author":"EB Erhardt","year":"2010","journal-title":"NeuroImage"},{"issue":"10","key":"ref94","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1371\/journal.pcbi.1005821","article-title":"Neural field model to reconcile structure with function in primary visual cortex","volume":"13","author":"J Rankin","year":"2017","journal-title":"PLoS Comput Biol"},{"issue":"4","key":"ref95","doi-asserted-by":"crossref","first-page":"466","DOI":"10.1006\/nimg.2000.0630","article-title":"Nonlinear responses in fMRI: The Balloon model, Volterra kernels, and other hemodynamics","volume":"12","author":"KJ Friston","year":"2000","journal-title":"NeuroImage"},{"key":"ref96","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1007\/978-1-4615-3254-5_21","article-title":"Rallpacks: A set of benchmarks for neuronal simulators","author":"US Bhalla","year":"1993","journal-title":"Computation and Neural Systems"},{"issue":"1","key":"ref97","doi-asserted-by":"crossref","first-page":"e1003376","DOI":"10.1371\/journal.pcbi.1003376","article-title":"Current practice in software development for computational neuroscience and how to improve it","volume":"10","author":"MO Gewaltig","year":"2014","journal-title":"PLoS Comput Biol"},{"key":"ref98","unstructured":"van Heesch, Dimitri. Doxygen Qt-interest Archive. 1997. Available from: <ext-link xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" ext-link-type=\"uri\" xlink:href=\"http:\/\/www.stack.nl\/~dimitri\/doxygen\/\" xlink:type=\"simple\">http:\/\/www.stack.nl\/~dimitri\/doxygen\/<\/ext-link>."},{"key":"ref99","article-title":"Springer, Berlin, Heidelberg Cortex: Statistics and Geometry of Neuronal Connectivity","author":"V Braitenberg","year":"1998"},{"key":"ref100","article-title":"Spectral signatures of local neural feedback in the corticothalamic system","author":"N Roy","year":"2017","journal-title":"Phys Rev E"},{"key":"ref101","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1137\/120877106","article-title":"Wandering bumps in stochastic neural fields","volume":"12","author":"ZP Kilpatrick","year":"2013","journal-title":"SIAM J Appl Dyn Syst"},{"key":"ref102","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1007\/s00285-014-0807-6","article-title":"Stochastic neural field equations: a rigorous footing","volume":"71","author":"O Faugeras","year":"2015","journal-title":"J Math Biol"},{"issue":"1","key":"ref103","doi-asserted-by":"crossref","DOI":"10.1186\/s13408-016-0035-z","article-title":"Neural Field Models with Threshold Noise","volume":"6","author":"R Thul","year":"2016","journal-title":"J Math Neurosci"},{"issue":"2","key":"ref104","doi-asserted-by":"crossref","first-page":"708","DOI":"10.1137\/110851031","article-title":"Front propagation in stochastic neural fields","volume":"11","author":"PC Bressloff","year":"2012","journal-title":"SIAM J Appl Dyn Syst"}],"updated-by":[{"DOI":"10.1371\/journal.pcbi.1006387","type":"new_version","label":"New version","source":"publisher","updated":{"date-parts":[[2018,9,4]],"date-time":"2018-09-04T00:00:00Z","timestamp":1536019200000}}],"container-title":["PLOS Computational Biology"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/dx.plos.org\/10.1371\/journal.pcbi.1006387","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,9]],"date-time":"2020-05-09T12:45:42Z","timestamp":1589028342000},"score":1,"resource":{"primary":{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pcbi.1006387"}},"subtitle":[],"editor":[{"given":"Dina","family":"Schneidman","sequence":"first","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2018,8,22]]},"references-count":104,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2018,8,22]]}},"URL":"https:\/\/doi.org\/10.1371\/journal.pcbi.1006387","relation":{"has-preprint":[{"id-type":"doi","id":"10.1101\/237032","asserted-by":"object"}]},"ISSN":["1553-7358"],"issn-type":[{"value":"1553-7358","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,8,22]]}}}