{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,27]],"date-time":"2026-02-27T06:10:59Z","timestamp":1772172659319,"version":"3.50.1"},"update-to":[{"DOI":"10.1371\/journal.pcbi.1007442","type":"new_version","label":"New version","source":"publisher","updated":{"date-parts":[[2019,11,14]],"date-time":"2019-11-14T00:00:00Z","timestamp":1573689600000}}],"reference-count":74,"publisher":"Public Library of Science (PLoS)","issue":"11","license":[{"start":{"date-parts":[[2019,11,4]],"date-time":"2019-11-04T00:00:00Z","timestamp":1572825600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000266","name":"EPSRC","doi-asserted-by":"crossref","award":["EP\/L027208\/1"],"award-info":[{"award-number":["EP\/L027208\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["www.ploscompbiol.org"],"crossmark-restriction":false},"short-container-title":["PLoS Comput Biol"],"DOI":"10.1371\/journal.pcbi.1007442","type":"journal-article","created":{"date-parts":[[2019,11,4]],"date-time":"2019-11-04T13:33:59Z","timestamp":1572874439000},"page":"e1007442","update-policy":"https:\/\/doi.org\/10.1371\/journal.pcbi.corrections_policy","source":"Crossref","is-referenced-by-count":7,"title":["Neural field models for latent state inference: Application to large-scale neuronal recordings"],"prefix":"10.1371","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4196-774X","authenticated-orcid":true,"given":"Michael E.","family":"Rule","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"David","family":"Schnoerr","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7270-5817","authenticated-orcid":true,"given":"Matthias H.","family":"Hennig","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guido","family":"Sanguinetti","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"340","published-online":{"date-parts":[[2019,11,4]]},"reference":[{"issue":"1-2","key":"pcbi.1007442.ref001","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1007\/s10827-009-0179-x","article-title":"A new look at state-space models for neural data","volume":"29","author":"L Paninski","year":"2010","journal-title":"Journal of Computational Neuroscience"},{"issue":"5","key":"pcbi.1007442.ref002","doi-asserted-by":"crossref","first-page":"1293","DOI":"10.1162\/NECO_a_00953","article-title":"Variational latent gaussian process for recovering single-trial dynamics from population spike trains","volume":"29","author":"Zhao Yuan","year":"2017","journal-title":"Neural computation"},{"key":"pcbi.1007442.ref003","article-title":"Variational joint filtering","author":"Zhao Yuan","year":"2017","journal-title":"arXiv preprint arXiv:1707.09049"},{"key":"pcbi.1007442.ref004","unstructured":"Sussillo D, Jozefowicz R, Abbott L, Pandarinath C. LFADS-Latent Factor Analysis via Dynamical Systems. arXiv preprint arXiv:160806315. 2016;."},{"issue":"2","key":"pcbi.1007442.ref005","doi-asserted-by":"crossref","first-page":"272","DOI":"10.1109\/TNSRE.2015.2470527","article-title":"Inference and decoding of motor cortex low-dimensional dynamics via latent state-space models","volume":"24","author":"M Aghagolzadeh","year":"2016","journal-title":"IEEE Transactions on Neural Systems and Rehabilitation Engineering"},{"key":"pcbi.1007442.ref006","volume-title":"Computational and Systems Neuroscience (Cosyne)","author":"SW Linderman","year":"2016"},{"key":"pcbi.1007442.ref007","first-page":"163","volume-title":"Advances in Neural Information Processing Systems","author":"Y Gao","year":"2016"},{"issue":"4","key":"pcbi.1007442.ref008","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1088\/0954-898X_15_4_002","article-title":"Maximum likelihood estimation of cascade point-process neural encoding models","volume":"15","author":"L Paninski","year":"2004","journal-title":"Network: Computation in Neural Systems"},{"issue":"7207","key":"pcbi.1007442.ref009","doi-asserted-by":"crossref","first-page":"995","DOI":"10.1038\/nature07140","article-title":"Spatio-temporal correlations and visual signalling in a complete neuronal population","volume":"454","author":"JW Pillow","year":"2008","journal-title":"Nature"},{"issue":"2","key":"pcbi.1007442.ref010","doi-asserted-by":"crossref","first-page":"1074","DOI":"10.1152\/jn.00697.2004","article-title":"A point process framework for relating neural spiking activity to spiking history, neural ensemble, and extrinsic covariate effects","volume":"93","author":"W Truccolo","year":"2005","journal-title":"Journal of Neurophysiology"},{"issue":"4","key":"pcbi.1007442.ref011","doi-asserted-by":"crossref","first-page":"336","DOI":"10.1016\/j.jphysparis.2017.02.004","article-title":"From point process observations to collective neural dynamics: Nonlinear Hawkes process GLMs, low-dimensional dynamics and coarse graining","volume":"110","author":"W Truccolo","year":"2016","journal-title":"Journal of Physiology-Paris"},{"issue":"2","key":"pcbi.1007442.ref012","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":"Si Amari","year":"1977","journal-title":"Biological Cybernetics"},{"issue":"1","key":"pcbi.1007442.ref013","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0006-3495(72)86068-5","article-title":"Excitatory and Inhibitory Interactions in Localized Populations of Model Neurons","volume":"12","author":"HR Wilson","year":"1972","journal-title":"Biophysical Journal"},{"key":"pcbi.1007442.ref014","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1007\/978-3-642-54593-1_2","volume-title":"Neural Fields","author":"J Cowan","year":"2014"},{"issue":"3","key":"pcbi.1007442.ref015","doi-asserted-by":"crossref","first-page":"033001","DOI":"10.1088\/1751-8113\/45\/3\/033001","article-title":"Spatiotemporal dynamics of continuum neural fields","volume":"45","author":"PC Bressloff","year":"2012","journal-title":"Journal of Physics A: Mathematical and Theoretical"},{"issue":"11s","key":"pcbi.1007442.ref016","doi-asserted-by":"crossref","first-page":"1184","DOI":"10.1038\/81460","article-title":"Neurocomputational models of working memory","volume":"3","author":"D Durstewitz","year":"2000","journal-title":"Nature Neuroscience"},{"issue":"03","key":"pcbi.1007442.ref017","doi-asserted-by":"crossref","first-page":"1850041","DOI":"10.1142\/S0218127418500414","article-title":"Seizure Dynamics of Coupled Oscillators with Epileptor Field Model","volume":"28","author":"H Zhang","year":"2018","journal-title":"International Journal of Bifurcation and Chaos"},{"issue":"1","key":"pcbi.1007442.ref018","doi-asserted-by":"crossref","first-page":"1088","DOI":"10.1038\/s41467-018-02973-y","article-title":"Predicting the spatiotemporal diversity of seizure propagation and termination in human focal epilepsy","volume":"9","author":"T Proix","year":"2018","journal-title":"Nature Communications"},{"issue":"2","key":"pcbi.1007442.ref019","doi-asserted-by":"crossref","first-page":"e1004065","DOI":"10.1371\/journal.pcbi.1004065","article-title":"A biologically constrained, mathematical model of cortical wave propagation preceding seizure termination","volume":"11","author":"L Gonz\u00e1lez-Ram\u00edrez","year":"2015","journal-title":"PLoS Computational Biology"},{"key":"pcbi.1007442.ref020","doi-asserted-by":"crossref","first-page":"14896","DOI":"10.1038\/ncomms14896","article-title":"Human seizures couple across spatial scales through travelling wave dynamics","volume":"8","author":"LE Martinet","year":"2017","journal-title":"Nature Communications"},{"issue":"3","key":"pcbi.1007442.ref021","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1007\/BF00336965","article-title":"A mathematical theory of visual hallucination patterns","volume":"34","author":"GB Ermentrout","year":"1979","journal-title":"Biological Cybernetics"},{"issue":"1407","key":"pcbi.1007442.ref022","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1098\/rstb.2000.0769","article-title":"Geometric visual hallucinations, Euclidean symmetry and the functional architecture of striate cortex","volume":"356","author":"PC Bressloff","year":"2001","journal-title":"Philosophical Transactions of the Royal Society of London B: Biological Sciences"},{"issue":"9","key":"pcbi.1007442.ref023","doi-asserted-by":"crossref","first-page":"e1002","DOI":"10.1371\/journal.pcbi.1002158","article-title":"A model for the origin and properties of flicker-induced geometric phosphenes","volume":"7","author":"M Rule","year":"2011","journal-title":"PLoS Comput Biol"},{"key":"pcbi.1007442.ref024","doi-asserted-by":"crossref","first-page":"57","DOI":"10.3389\/fncom.2013.00057","article-title":"Neural masses and fields in dynamic causal modeling","volume":"7","author":"R Moran","year":"2013","journal-title":"Frontiers in Computational Neuroscience"},{"issue":"2","key":"pcbi.1007442.ref025","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1007\/s10548-010-0140-3","article-title":"Connecting Mean Field Models of Neural Activity to EEG and fMRI Data","volume":"23","author":"I Bojak","year":"2010","journal-title":"Brain Topography"},{"issue":"2","key":"pcbi.1007442.ref026","doi-asserted-by":"crossref","first-page":"1261","DOI":"10.1016\/j.neuroimage.2011.08.020","article-title":"Dynamic causal modeling with neural fields","volume":"59","author":"DA Pinotsis","year":"2012","journal-title":"Neuroimage"},{"issue":"7","key":"pcbi.1007442.ref027","doi-asserted-by":"crossref","first-page":"1829","DOI":"10.1109\/TBME.2011.2159115","article-title":"EMG Prediction From Motor Cortical Recordings via a Nonnegative Point-Process Filter","volume":"59","author":"K Nazarpour","year":"2012","journal-title":"IEEE Transactions on Biomedical Engineering"},{"key":"pcbi.1007442.ref028","doi-asserted-by":"crossref","first-page":"11729","DOI":"10.1038\/ncomms11729","article-title":"Cox process representation and inference for stochastic reaction-diffusion processes","volume":"7","author":"D Schnoerr","year":"2016","journal-title":"Nature Communications"},{"issue":"10","key":"pcbi.1007442.ref029","doi-asserted-by":"crossref","first-page":"2757","DOI":"10.1162\/neco_a_01121","article-title":"Autoregressive Point-Processes as Latent State-Space Models: a Moment-Closure Approach to Fluctuations and Autocorrelations","volume":"30","author":"ME Rule","year":"2018","journal-title":"Neural Computation"},{"issue":"516","key":"pcbi.1007442.ref030","doi-asserted-by":"crossref","first-page":"1746","DOI":"10.1080\/01621459.2015.1115357","article-title":"Sparse approximate inference for spatio-temporal point process models","volume":"111","author":"B Cseke","year":"2016","journal-title":"Journal of the American Statistical Association"},{"issue":"31","key":"pcbi.1007442.ref031","doi-asserted-by":"crossref","first-page":"12414","DOI":"10.1073\/pnas.1203177109","article-title":"Point process modelling of the Afghan War Diary","volume":"109","author":"A Zammit-Mangion","year":"2012","journal-title":"Proceedings of the National Academy of Sciences of the United States of America"},{"key":"pcbi.1007442.ref032","first-page":"1350","article-title":"Empirical models of spiking in neural populations","author":"JH Macke","year":"2011","journal-title":"Advances in Neural Information Processing Systems"},{"issue":"5","key":"pcbi.1007442.ref033","doi-asserted-by":"crossref","first-page":"965","DOI":"10.1162\/089976603765202622","article-title":"Estimating a state-space model from point process observations","volume":"15","author":"AC Smith","year":"2003","journal-title":"Neural Computation"},{"issue":"5","key":"pcbi.1007442.ref034","doi-asserted-by":"crossref","first-page":"1488","DOI":"10.1137\/090756971","article-title":"Stochastic neural field theory and the system-size expansion","volume":"70","author":"PC Bressloff","year":"2009","journal-title":"SIAM Journal on Applied Mathematics"},{"issue":"2","key":"pcbi.1007442.ref035","doi-asserted-by":"crossref","first-page":"377","DOI":"10.1162\/neco.2009.02-09-960","article-title":"Systematic fluctuation expansion for neural network activity equations","volume":"22","author":"MA Buice","year":"2010","journal-title":"Neural Computation"},{"issue":"3","key":"pcbi.1007442.ref036","doi-asserted-by":"crossref","first-page":"453","DOI":"10.1007\/s10827-011-0320-5","article-title":"Finite-size and correlation-induced effects in mean-field dynamics","volume":"31","author":"JD Touboul","year":"2011","journal-title":"Journal of computational neuroscience"},{"issue":"7","key":"pcbi.1007442.ref037","doi-asserted-by":"crossref","first-page":"1545","DOI":"10.1113\/jphysiol.2013.262840","article-title":"Following the ontogeny of retinal waves: pan-retinal recordings of population dynamics in the neonatal mouse","volume":"592","author":"A Maccione","year":"2014","journal-title":"The Journal of physiology"},{"issue":"5008","key":"pcbi.1007442.ref038","doi-asserted-by":"crossref","first-page":"939","DOI":"10.1126\/science.2035024","article-title":"Synchronous bursts of action potentials in ganglion cells of the developing mammalian retina","volume":"252","author":"M Meister","year":"1991","journal-title":"Science"},{"issue":"4","key":"pcbi.1007442.ref039","doi-asserted-by":"crossref","first-page":"1077","DOI":"10.1523\/JNEUROSCI.4880-08.2009","article-title":"Early-stage waves in the retinal network emerge close to a critical state transition between local and global functional connectivity","volume":"29","author":"MH Hennig","year":"2009","journal-title":"Journal of Neuroscience"},{"issue":"12","key":"pcbi.1007442.ref040","doi-asserted-by":"crossref","first-page":"e1003953","DOI":"10.1371\/journal.pcbi.1003953","article-title":"A Reaction-Diffusion Model of Cholinergic Retinal Waves","volume":"10","author":"B Lansdell","year":"2014","journal-title":"PLOS Computational Biology"},{"issue":"1","key":"pcbi.1007442.ref041","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0006-3495(72)86068-5","article-title":"Excitatory and inhibitory interactions in localized populations of model neurons","volume":"12","author":"HR Wilson","year":"1972","journal-title":"Biophysical journal"},{"issue":"2","key":"pcbi.1007442.ref042","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"},{"issue":"4","key":"pcbi.1007442.ref043","doi-asserted-by":"crossref","DOI":"10.1523\/JNEUROSCI.4880-08.2009","article-title":"Early-Stage Waves in the Retinal Network Emerge Close to a Critical State Transition between Local and Global Functional Connectivity","volume":"29","author":"MH Hennig","year":"2009","journal-title":"Journal of Neuroscience"},{"issue":"5","key":"pcbi.1007442.ref044","doi-asserted-by":"crossref","first-page":"051919","DOI":"10.1103\/PhysRevE.75.051919","article-title":"Field-theoretic approach to fluctuation effects in neural networks","volume":"75","author":"MA Buice","year":"2007","journal-title":"Physical Review E"},{"issue":"2-3","key":"pcbi.1007442.ref045","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1016\/j.pbiomolbio.2009.07.003","article-title":"Statistical mechanics of the neocortex","volume":"99","author":"MA Buice","year":"2009","journal-title":"Progress in Biophysics and Molecular Biology"},{"issue":"3","key":"pcbi.1007442.ref046","doi-asserted-by":"crossref","first-page":"2259","DOI":"10.1103\/PhysRevE.48.2259","article-title":"Master-equation approach to stochastic neurodynamics","volume":"48","author":"T Ohira","year":"1993","journal-title":"Physical Review E"},{"issue":"2","key":"pcbi.1007442.ref047","doi-asserted-by":"crossref","first-page":"212","DOI":"10.2307\/3001852","article-title":"Population growth of the sexes","volume":"9","author":"LA Goodman","year":"1953","journal-title":"Biometrics"},{"issue":"2","key":"pcbi.1007442.ref048","doi-asserted-by":"crossref","first-page":"268","DOI":"10.1111\/j.2517-6161.1957.tb00263.x","article-title":"On the use of the normal approximation in the treatment of stochastic processes","volume":"19","author":"P Whittle","year":"1957","journal-title":"Journal of the Royal Statistical Society: Series B (Methodological)"},{"issue":"2","key":"pcbi.1007442.ref049","doi-asserted-by":"crossref","first-page":"024109","DOI":"10.1063\/1.2408422","article-title":"Mass fluctuation kinetics: Capturing stochastic effects in systems of chemical reactions through coupled mean-variance computations","volume":"126","author":"CA Gomez-Uribe","year":"2007","journal-title":"The Journal of chemical physics"},{"issue":"9","key":"pcbi.1007442.ref050","doi-asserted-by":"crossref","first-page":"093001","DOI":"10.1088\/1751-8121\/aa54d9","article-title":"Approximation and inference methods for stochastic biochemical kinetics\u2014a tutorial review","volume":"50","author":"D Schnoerr","year":"2017","journal-title":"Journal of Physics A: Mathematical and Theoretical"},{"issue":"1","key":"pcbi.1007442.ref051","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1038\/nn.2455","article-title":"Collective dynamics in human and monkey sensorimotor cortex: predicting single neuron spikes","volume":"13","author":"W Truccolo","year":"2010","journal-title":"Nature Neuroscience"},{"issue":"20","key":"pcbi.1007442.ref052","doi-asserted-by":"crossref","first-page":"7621","DOI":"10.1523\/JNEUROSCI.23-20-07621.2003","article-title":"Developmental modulation of retinal wave dynamics: shedding light on the GABA saga","volume":"23","author":"E Sernagor","year":"2003","journal-title":"Journal of Neuroscience"},{"issue":"2","key":"pcbi.1007442.ref053","doi-asserted-by":"crossref","first-page":"230","DOI":"10.1016\/j.neuron.2009.03.015","article-title":"Synaptic and extrasynaptic factors governing glutamatergic retinal waves","volume":"62","author":"AG Blankenship","year":"2009","journal-title":"Neuron"},{"issue":"17","key":"pcbi.1007442.ref054","doi-asserted-by":"crossref","first-page":"6570","DOI":"10.1523\/JNEUROSCI.20-17-06570.2000","article-title":"Coordinated transitions in neurotransmitter systems for the initiation and propagation of spontaneous retinal waves","volume":"20","author":"ZJ Zhou","year":"2000","journal-title":"Journal of Neuroscience"},{"issue":"5265","key":"pcbi.1007442.ref055","doi-asserted-by":"crossref","first-page":"1182","DOI":"10.1126\/science.272.5265.1182","article-title":"Requirement for cholinergic synaptic transmission in the propagation of spontaneous retinal waves","volume":"272","author":"MB Feller","year":"1996","journal-title":"Science"},{"issue":"20","key":"pcbi.1007442.ref056","doi-asserted-by":"crossref","first-page":"7672","DOI":"10.1523\/JNEUROSCI.20-20-07672.2000","article-title":"Mice lacking specific nicotinic acetylcholine receptor subunits exhibit dramatically altered spontaneous activity patterns and reveal a limited role for retinal waves in forming ON and OFF circuits in the inner retina","volume":"20","author":"A Bansal","year":"2000","journal-title":"Journal of Neuroscience"},{"issue":"3","key":"pcbi.1007442.ref057","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1038\/nn1644","article-title":"A transient network of intrinsically bursting starburst cells underlies the generation of retinal waves","volume":"9","author":"J Zheng","year":"2006","journal-title":"Nature Neuroscience"},{"issue":"21","key":"pcbi.1007442.ref058","doi-asserted-by":"crossref","first-page":"8936","DOI":"10.1523\/JNEUROSCI.18-21-08936.1998","article-title":"The major cell populations of the mouse retina","volume":"18","author":"CJ Jeon","year":"1998","journal-title":"Journal of Neuroscience"},{"issue":"1","key":"pcbi.1007442.ref059","doi-asserted-by":"crossref","first-page":"07B201_1","DOI":"10.1063\/1.4923066","article-title":"Perspective: Sloppiness and emergent theories in physics, biology, and beyond","volume":"143","author":"MK Transtrum","year":"2015","journal-title":"The Journal of Chemical Physics"},{"issue":"22","key":"pcbi.1007442.ref060","doi-asserted-by":"crossref","first-page":"8480","DOI":"10.1523\/JNEUROSCI.4421-14.2015","article-title":"Sloppiness in spontaneously active neuronal networks","volume":"35","author":"D Panas","year":"2015","journal-title":"Journal of Neuroscience"},{"issue":"34","key":"pcbi.1007442.ref061","doi-asserted-by":"crossref","first-page":"12159","DOI":"10.1523\/JNEUROSCI.3112-11.2011","article-title":"Age-dependent homeostatic plasticity of GABAergic signaling in developing retinal networks","volume":"31","author":"MH Hennig","year":"2011","journal-title":"Journal of Neuroscience"},{"key":"pcbi.1007442.ref062","unstructured":"Pascanu R, Mikolov T, Bengio Y. On the difficulty of training recurrent neural networks. In: International Conference on Machine Learning; 2013. p. 1310\u20131318."},{"issue":"2","key":"pcbi.1007442.ref063","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1109\/72.279181","article-title":"Learning long-term dependencies with gradient descent is difficult","volume":"5","author":"Y Bengio","year":"1994","journal-title":"IEEE Transactions on Neural Networks"},{"key":"pcbi.1007442.ref064","volume-title":"A field guide to dynamical recurrent neural networks","author":"S Hochreiter","year":"2001"},{"issue":"2","key":"pcbi.1007442.ref065","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1016\/S0896-6273(00)80940-X","article-title":"Dynamic processes shape spatiotemporal properties of retinal waves","volume":"19","author":"MB Feller","year":"1997","journal-title":"Neuron"},{"issue":"11","key":"pcbi.1007442.ref066","doi-asserted-by":"crossref","first-page":"e245","DOI":"10.1371\/journal.pcbi.0030245","article-title":"Retinal wave behavior through activity-dependent refractory periods","volume":"3","author":"KB Godfrey","year":"2007","journal-title":"PLoS Computational Biology"},{"key":"pcbi.1007442.ref067","volume-title":"Stochastic processes in physics and chemistry","author":"NG Van Kampen","year":"1992"},{"issue":"17","key":"pcbi.1007442.ref068","doi-asserted-by":"crossref","first-page":"174101","DOI":"10.1063\/1.4802475","article-title":"A general moment expansion method for stochastic kinetic models","volume":"138","author":"A Ale","year":"2013","journal-title":"The Journal of Chemical Physics"},{"issue":"1","key":"pcbi.1007442.ref069","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1162\/neco.2009.02-08-710","article-title":"A master equation formalism for macroscopic modeling of asynchronous irregular activity states","volume":"21","author":"S El Boustani","year":"2009","journal-title":"Neural computation"},{"issue":"8","key":"pcbi.1007442.ref070","doi-asserted-by":"crossref","first-page":"2032","DOI":"10.1162\/neco.2007.19.8.2032","article-title":"Critical analysis of dimension reduction by a moment closure method in a population density approach to neural network modeling","volume":"19","author":"C Ly","year":"2007","journal-title":"Neural computation"},{"issue":"1","key":"pcbi.1007442.ref071","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1186\/2190-8567-3-1","article-title":"Laws of large numbers and langevin approximations for stochastic neural field equations","volume":"3","author":"MG Riedler","year":"2013","journal-title":"The Journal of Mathematical Neuroscience"},{"issue":"2","key":"pcbi.1007442.ref072","doi-asserted-by":"crossref","first-page":"07B606_1","DOI":"10.1063\/1.4885345","article-title":"The complex chemical Langevin equation","volume":"141","author":"D Schnoerr","year":"2014","journal-title":"The Journal of Chemical Physics"},{"issue":"2","key":"pcbi.1007442.ref073","first-page":"102","article-title":"Contributions to the theory of optimal control","volume":"5","author":"RE Kalman","year":"1960","journal-title":"Bolet\u00edn de la Sociedad Matem\u00e1tica Mexicana"},{"issue":"1","key":"pcbi.1007442.ref074","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1115\/1.3658902","article-title":"New results in linear filtering and prediction theory","volume":"83","author":"RE Kalman","year":"1961","journal-title":"Journal of Basic Engineering"}],"updated-by":[{"DOI":"10.1371\/journal.pcbi.1007442","type":"new_version","label":"New version","source":"publisher","updated":{"date-parts":[[2019,11,14]],"date-time":"2019-11-14T00:00:00Z","timestamp":1573689600000}}],"container-title":["PLOS Computational Biology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pcbi.1007442","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,26]],"date-time":"2024-07-26T03:04:07Z","timestamp":1721963047000},"score":1,"resource":{"primary":{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pcbi.1007442"}},"subtitle":[],"editor":[{"given":"Jonathan David","family":"Touboul","sequence":"first","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2019,11,4]]},"references-count":74,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2019,11,4]]}},"URL":"https:\/\/doi.org\/10.1371\/journal.pcbi.1007442","relation":{"has-preprint":[{"id-type":"doi","id":"10.1101\/543769","asserted-by":"object"}]},"ISSN":["1553-7358"],"issn-type":[{"value":"1553-7358","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,11,4]]}}}