{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,31]],"date-time":"2025-12-31T10:20:36Z","timestamp":1767176436865,"version":"build-2238731810"},"update-to":[{"DOI":"10.1371\/journal.pcbi.1006217","type":"new_version","label":"New version","source":"publisher","updated":{"date-parts":[[2018,6,8]],"date-time":"2018-06-08T00:00:00Z","timestamp":1528416000000}}],"reference-count":96,"publisher":"Public Library of Science (PLoS)","issue":"5","license":[{"start":{"date-parts":[[2018,5,29]],"date-time":"2018-05-29T00:00:00Z","timestamp":1527552000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Australian Research Council Center of Excellence for Integrative Brain Function","award":["CE140100007"],"award-info":[{"award-number":["CE140100007"]}]},{"name":"Australian Research Council Center of Excellence for Integrative Brain Function","award":["CE140100007"],"award-info":[{"award-number":["CE140100007"]}]},{"name":"Australian Research Council Laureate Fellowship","award":["FL140100025"],"award-info":[{"award-number":["FL140100025"]}]},{"name":"Australian Research Council Laureate Fellowship","award":["FL140100025"],"award-info":[{"award-number":["FL140100025"]}]}],"content-domain":{"domain":["www.ploscompbiol.org"],"crossmark-restriction":false},"short-container-title":["PLoS Comput Biol"],"DOI":"10.1371\/journal.pcbi.1006217","type":"journal-article","created":{"date-parts":[[2018,5,29]],"date-time":"2018-05-29T13:40:39Z","timestamp":1527601239000},"page":"e1006217","update-policy":"https:\/\/doi.org\/10.1371\/journal.pcbi.corrections_policy","source":"Crossref","is-referenced-by-count":17,"title":["Quantitative theory of deep brain stimulation of the subthalamic nucleus for the suppression of pathological rhythms in Parkinson\u2019s disease"],"prefix":"10.1371","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2497-0194","authenticated-orcid":true,"given":"Eli J.","family":"M\u00fcller","sequence":"first","affiliation":[]},{"given":"Peter A.","family":"Robinson","sequence":"additional","affiliation":[]}],"member":"340","published-online":{"date-parts":[[2018,5,29]]},"reference":[{"issue":"2","key":"ref1","doi-asserted-by":"crossref","first-page":"203","DOI":"10.3171\/jns.1996.84.2.0203","article-title":"Chronic electrical stimulation of the ventralis intermedius nucleus of the thalamus as a treatment of movement disorders","volume":"84","author":"AL Benabid","year":"1996","journal-title":"J Neurosurg"},{"key":"ref2","doi-asserted-by":"crossref","first-page":"706","DOI":"10.1212\/WNL.59.5.706","article-title":"The impact on Parkinson\u2019s disease of electrical parameter settings in STN stimulation","volume":"59","author":"E Moro","year":"2002","journal-title":"Neurol"},{"key":"ref3","doi-asserted-by":"crossref","first-page":"459","DOI":"10.1056\/NEJMoa042187","article-title":"Bilateral deep-brain stimulation of the globus pallidus in primary generalized dystonia","volume":"352","author":"M Vidailhet","year":"2005","journal-title":"N Engl J Med"},{"key":"ref4","doi-asserted-by":"crossref","first-page":"1551","DOI":"10.1111\/j.1528-1167.2007.01005.x","article-title":"Deep brain stimulation in patients with refractory temporal lobe epilepsy","volume":"48","author":"P Boon","year":"2007","journal-title":"Epilepsia"},{"issue":"4","key":"ref5","doi-asserted-by":"crossref","first-page":"386","DOI":"10.1038\/nn.3344","article-title":"Deep brain stimulation restores frontostriatal network activity in obsessive-compulsive disorder","volume":"16","author":"M Figee","year":"2013","journal-title":"Nat Neurosci"},{"key":"ref6","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1177\/1073858415581986","article-title":"Mechanism of deep brain stimulation: inhibition, excitation, or disruption?","volume":"22","author":"S Chiken","year":"2016","journal-title":"Neuroscientist"},{"key":"ref7","doi-asserted-by":"crossref","first-page":"477","DOI":"10.1007\/s002210050304","article-title":"Axons, but not cell bodies, are activated by electrical stimulation in cortical gray matter I. Evidence from chronaxie measurements","volume":"118","author":"L Nowak","year":"1998","journal-title":"Exp Brain Res"},{"key":"ref8","doi-asserted-by":"crossref","first-page":"664","DOI":"10.1109\/TBME.2014.2363494","article-title":"Relationship between neural activation and electric field distribution during deep brain stimulation","volume":"62","author":"M \u00c5str\u00f6m","year":"2015","journal-title":"IEEE Trans Biomed Eng"},{"key":"ref9","doi-asserted-by":"crossref","first-page":"1583","DOI":"10.1109\/TBME.2012.2189885","article-title":"Modeling the field distribution in deep brain stimulation: the influence of anisotropy of brain tissue","volume":"59","author":"C Schmidt","year":"2012","journal-title":"IEEE Trans Biomed Eng"},{"key":"ref10","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1152\/jn.00281.2015","article-title":"Mechanisms of deep brain stimulation","volume":"115","author":"TM Herrington","year":"2015","journal-title":"J Neurophysiol"},{"key":"ref11","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1016\/j.brs.2009.03.007","article-title":"Role of cortical cell type and morphology in subthreshold and suprathreshold uniform electric field stimulation in vitro","volume":"2","author":"T Radman","year":"2009","journal-title":"Brain Stimulat"},{"key":"ref12","doi-asserted-by":"crossref","first-page":"1224","DOI":"10.1016\/S0140-6736(05)63455-1","article-title":"Bilateral dorsolateral subthalamotomy for advanced Parkinson\u2019s disease","volume":"350","author":"P Heywood","year":"1997","journal-title":"The Lancet"},{"key":"ref13","doi-asserted-by":"crossref","first-page":"1436","DOI":"10.1126\/science.2402638","article-title":"Reversal of experimental parkinsonism by lesions of the subthalamic nucleus","volume":"249","author":"H Bergman","year":"1990","journal-title":"Science"},{"key":"ref14","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1016\/S0306-4522(00)00199-8","article-title":"Effect of high-frequency stimulation of the subthalamic nucleus on the neuronal activities of the substantia nigra pars reticulata and ventrolateral nucleus of the thalamus in the rat","volume":"99","author":"A Benazzouz","year":"2000","journal-title":"Neurosci"},{"key":"ref15","doi-asserted-by":"crossref","first-page":"2372","DOI":"10.1093\/brain\/awh616","article-title":"Subthalamic high frequency stimulation resets subthalamic firing and reduces abnormal oscillations","volume":"128","author":"W Meissner","year":"2005","journal-title":"Brain"},{"key":"ref16","doi-asserted-by":"crossref","first-page":"570","DOI":"10.1152\/jn.2000.84.1.570","article-title":"Microstimulation-induced inhibition of neuronal firing in human globus pallidus","volume":"84","author":"J Dostrovsky","year":"2000","journal-title":"J Neurophysiol"},{"key":"ref17","doi-asserted-by":"crossref","first-page":"2105","DOI":"10.1093\/brain\/124.10.2105","article-title":"Lidocaine and muscimol microinjections in subthalamic nucleus reverse Parkinsonian symptoms","volume":"124","author":"R Levy","year":"2001","journal-title":"Brain"},{"key":"ref18","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1001\/archneur.61.1.89","article-title":"Effects of high-frequency stimulation on subthalamic neuronal activity in parkinsonian patients","volume":"61","author":"ML Welter","year":"2004","journal-title":"Arch Neurol"},{"key":"ref19","doi-asserted-by":"crossref","first-page":"2268","DOI":"10.1523\/JNEUROSCI.4144-11.2013","article-title":"High-frequency pallidal stimulation disrupts information flow through the pallidum by GABAergic inhibition","volume":"33","author":"S Chiken","year":"2013","journal-title":"J Neurosci"},{"key":"ref20","doi-asserted-by":"crossref","first-page":"1150","DOI":"10.1152\/jn.00475.2002","article-title":"Effects of high-frequency stimulation in the internal globus pallidus on the activity of thalamic neurons in the awake monkey","volume":"89","author":"ME Anderson","year":"2003","journal-title":"J Neurophysiol"},{"key":"ref21","doi-asserted-by":"crossref","first-page":"1916","DOI":"10.1523\/JNEUROSCI.23-05-01916.2003","article-title":"Stimulation of the subthalamic nucleus changes the firing pattern of pallidal neurons","volume":"23","author":"T Hashimoto","year":"2003","journal-title":"J Neurosci"},{"key":"ref22","doi-asserted-by":"crossref","first-page":"9929","DOI":"10.1523\/JNEUROSCI.23-30-09929.2003","article-title":"Spontaneous and evoked activity of substantia nigra pars reticulata neurons during high-frequency stimulation of the subthalamic nucleus","volume":"23","author":"N Maurice","year":"2003","journal-title":"J Neurosci"},{"key":"ref23","doi-asserted-by":"crossref","first-page":"978","DOI":"10.1152\/jn.00420.2012","article-title":"Deep brain stimulation entrains local neuronal firing in human globus pallidus internus","volume":"109","author":"DR Cleary","year":"2013","journal-title":"J Neurophysiol"},{"key":"ref24","doi-asserted-by":"crossref","first-page":"1457","DOI":"10.1152\/jn.00989.2003","article-title":"Cellular effects of deep brain stimulation: model-based analysis of activation and inhibition","volume":"91","author":"CC McIntyre","year":"2004","journal-title":"J Neurophysiol"},{"key":"ref25","doi-asserted-by":"crossref","first-page":"2549","DOI":"10.1152\/jn.90372.2008","article-title":"Quantifying the neural elements activated and inhibited by globus pallidus deep brain stimulation","volume":"100","author":"MD Johnson","year":"2008","journal-title":"J Neurophysiol"},{"key":"ref26","doi-asserted-by":"crossref","first-page":"589","DOI":"10.1016\/j.clinph.2003.10.033","article-title":"Electric field and stimulating influence generated by deep brain stimulation of the subthalamic nucleus","volume":"115","author":"CC McIntyre","year":"2004","journal-title":"Clin Neurophysiol"},{"key":"ref27","doi-asserted-by":"crossref","first-page":"448","DOI":"10.1002\/ana.20402","article-title":"Subthalamic stimulation activates internal pallidus: evidence from cGMP microdialysis in PD patients","volume":"57","author":"A Stefani","year":"2005","journal-title":"Ann Neurol"},{"key":"ref28","doi-asserted-by":"crossref","first-page":"368","DOI":"10.1136\/jnnp.2007.131045","article-title":"Parkinson\u2019s disease: clinical features and diagnosis","volume":"79","author":"J Jankovic","year":"2008","journal-title":"J Neurol, Neurosurg & Psychiatry"},{"key":"ref29","article-title":"Mitochondrial dysfunction and <italic>\u03b1<\/italic>-synuclein synaptic pathology in Parkinson\u2019s disease: who\u2019s on first?","volume":"2015","author":"M Zaltieri","year":"2015","journal-title":"Parkinson\u2019s Dis"},{"key":"ref30","doi-asserted-by":"crossref","first-page":"1033","DOI":"10.1523\/JNEUROSCI.21-03-01033.2001","article-title":"Dopamine dependency of oscillations between subthalamic nucleus and pallidum in Parkinson\u2019s disease","volume":"21","author":"P Brown","year":"2001","journal-title":"J Neurosci"},{"key":"ref31","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1016\/j.jneumeth.2004.12.009","article-title":"Time-frequency analysis of transient neuromuscular events: Dynamic changes in activity of the subthalamic nucleus and forearm muscles related to the intermittent resting tremor","volume":"145","author":"SY Wang","year":"2005","journal-title":"J Neurosci Methods"},{"key":"ref32","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1093\/brain\/awg022","article-title":"The cerebral oscillatory network of parkinsonian resting tremor","volume":"126","author":"L Timmermann","year":"2003","journal-title":"Brain"},{"key":"ref33","doi-asserted-by":"crossref","first-page":"3248","DOI":"10.1152\/jn.00697.2006","article-title":"Beta oscillatory activity in the subthalamic nucleus and its relation to dopaminergic response in Parkinson9s disease","volume":"96","author":"M Weinberger","year":"2006","journal-title":"J Neurophysiol"},{"key":"ref34","doi-asserted-by":"crossref","first-page":"016009","DOI":"10.1088\/1741-2560\/7\/1\/016009","article-title":"The causal relationship between subcortical local field potential oscillations and Parkinsonian resting tremor","volume":"7","author":"P Tass","year":"2010","journal-title":"J Neural Eng"},{"key":"ref35","doi-asserted-by":"crossref","first-page":"378","DOI":"10.1093\/brain\/124.2.378","article-title":"Subthalamic nucleus, sensorimotor cortex and muscle interrelationships in Parkinson\u2019s disease","volume":"124","author":"J Marsden","year":"2001","journal-title":"Brain"},{"key":"ref36","doi-asserted-by":"crossref","first-page":"1558","DOI":"10.1093\/brain\/awf156","article-title":"Dopamine-dependent changes in the functional connectivity between basal ganglia and cerebral cortex in humans","volume":"125","author":"D Williams","year":"2002","journal-title":"Brain"},{"key":"ref37","doi-asserted-by":"crossref","first-page":"2855","DOI":"10.1523\/JNEUROSCI.22-07-02855.2002","article-title":"Synchronized neuronal discharge in the basal ganglia of parkinsonian patients is limited to oscillatory activity","volume":"22","author":"R Levy","year":"2002","journal-title":"J Neurosci"},{"key":"ref38","doi-asserted-by":"crossref","first-page":"1196","DOI":"10.1093\/brain\/awf128","article-title":"Dependence of subthalamic nucleus oscillations on movement and dopamine in Parkinson\u2019s disease","volume":"125","author":"R Levy","year":"2002","journal-title":"Brain"},{"key":"ref39","doi-asserted-by":"crossref","first-page":"212","DOI":"10.1016\/j.expneurol.2005.02.010","article-title":"The relationship between local field potential and neuronal discharge in the subthalamic nucleus of patients with Parkinson\u2019s disease","volume":"194","author":"AA K\u00fchn","year":"2005","journal-title":"Exp Neurol"},{"key":"ref40","doi-asserted-by":"crossref","first-page":"629","DOI":"10.1016\/j.conb.2006.10.002","article-title":"Basal ganglia oscillations and pathophysiology of movement disorders","volume":"16","author":"M Rivlin-Etzion","year":"2006","journal-title":"Curr Opin Neurobiol"},{"key":"ref41","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1016\/S0166-2236(97)01151-X","article-title":"Physiological aspects of information processing in the basal ganglia of normal and parkinsonian primates","volume":"21","author":"H Bergman","year":"1998","journal-title":"Trends Neurosci"},{"key":"ref42","doi-asserted-by":"crossref","first-page":"174","DOI":"10.1002\/mds.26860","article-title":"Oscillatory Beta Power Correlates With Akinesia-Rigidity in the Parkinsonian Subthalamic Nucleus","volume":"32","author":"M Beudel","year":"2017","journal-title":"Mov Disord"},{"key":"ref43","doi-asserted-by":"crossref","first-page":"1956","DOI":"10.1111\/j.1460-9568.2006.04717.x","article-title":"Reduction in subthalamic 8\u201335 Hz oscillatory activity correlates with clinical improvement in Parkinson\u2019s disease","volume":"23","author":"AA K\u00fchn","year":"2006","journal-title":"Euro J Neurosci"},{"key":"ref44","doi-asserted-by":"crossref","first-page":"569","DOI":"10.1136\/jnnp.2010.217489","article-title":"Deep brain stimulation can suppress pathological synchronisation in parkinsonian patients","volume":"82","author":"A Eusebio","year":"2011","journal-title":"J Neurol Neurosurg Psychiatry"},{"key":"ref45","doi-asserted-by":"crossref","first-page":"1470","DOI":"10.1111\/j.1460-9568.2011.07865.x","article-title":"Subthalamo-pallidal interactions underlying parkinsonian neuronal oscillations in the primate basal ganglia","volume":"34","author":"Y Tachibana","year":"2011","journal-title":"Eur J Neurosci"},{"key":"ref46","doi-asserted-by":"crossref","first-page":"e1004609","DOI":"10.1371\/journal.pcbi.1004609","article-title":"Computational models describing possible mechanisms for generation of excessive beta oscillations in Parkinson\u2019s disease","volume":"11","author":"A Pavlides","year":"2015","journal-title":"PLoS Comput Biol"},{"key":"ref47","doi-asserted-by":"crossref","DOI":"10.3389\/fnana.2017.00021","article-title":"Computational model of recurrent subthalamo-pallidal circuit for generation of parkinsonian oscillations","volume":"11","author":"O Shouno","year":"2017","journal-title":"Front Neuroanat"},{"key":"ref48","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":"ref49","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1109\/TBME.1974.324336","article-title":"Wave-like properties of the alpha rhythm","volume":"21","author":"PL Nunez","year":"1974","journal-title":"IEEE Trans Biomed Eng"},{"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":"J Wright","year":"1996","journal-title":"Behav Brain Sci"},{"key":"ref51","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":"ref52","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 cerebral cortex","volume":"56","author":"PA Robinson","year":"1997","journal-title":"Phys Rev E"},{"key":"ref53","doi-asserted-by":"crossref","first-page":"3351","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"},{"key":"ref54","doi-asserted-by":"crossref","first-page":"021903","DOI":"10.1103\/PhysRevE.63.021903","article-title":"Prediction of electroencephalographic spectra from neurophysiology","volume":"63","author":"PA Robinson","year":"2001","journal-title":"Phys Rev E"},{"key":"ref55","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"},{"key":"ref56","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":"ref57","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":"ref58","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1371\/journal.pcbi.1000092","article-title":"The dynamic brain: from spiking neurons to neural mass and cortical fields","volume":"4","author":"G Deco","year":"2008","journal-title":"PLoS Comput Biol"},{"key":"ref59","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1016\/j.pbiomolbio.2004.02.001","article-title":"Modelling general anaesthesia as a first-order phase transition in the cortex","volume":"85","author":"ML Steyn-Ross","year":"2004","journal-title":"Progress in biophysics and molecular biology"},{"key":"ref60","first-page":"300","article-title":"Understanding the transition to seizure by modeling the epileptiform activity of general anesthetic agents","volume":"22","author":"D Liley","year":"2005","journal-title":"J Clin Neurophysiol"},{"key":"ref61","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":"ref62","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":"ref63","doi-asserted-by":"crossref","first-page":"642","DOI":"10.1016\/j.jtbi.2008.12.018","article-title":"Mean-field modeling of the basal ganglia-thalamocortical system. I. Firing rates in healthy and parkinsonian states","volume":"257","author":"SJ van Albada","year":"2009","journal-title":"J Theor Biol"},{"key":"ref64","doi-asserted-by":"crossref","first-page":"664","DOI":"10.1016\/j.jtbi.2008.12.013","article-title":"Mean-field modeling of the basal ganglia-thalamocortical system. II. Dynamics of Parkinsonian oscillations","volume":"257","author":"SJ van Albada","year":"2009","journal-title":"J Theor Biol"},{"key":"ref65","article-title":"Unified neural field theory of brain dynamics underlying oscillations in Parkinson\u2019s disease and generalized epilepsies","author":"E M\u00fcller","year":"2017","journal-title":"J Theor Biol"},{"key":"ref66","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":"Biophys J"},{"key":"ref67","article-title":"Mass action in the nervous system","author":"WJ Freeman","year":"1975"},{"key":"ref68","doi-asserted-by":"crossref","first-page":"156","DOI":"10.1113\/jphysiol.1951.sp004517","article-title":"Some properties of isolated cerebral cortex in the unanaesthetized cat","volume":"112","author":"BD Burns","year":"1951","journal-title":"J Physiol"},{"key":"ref69","doi-asserted-by":"crossref","first-page":"1695","DOI":"10.1152\/jn.1988.60.5.1695","article-title":"Periodicity and directionality in the propagation of epileptiform discharges across neocortex","volume":"60","author":"R Chervin","year":"1988","journal-title":"J Neurophysiol"},{"key":"ref70","doi-asserted-by":"crossref","first-page":"1199","DOI":"10.1152\/jn.1997.78.3.1199","article-title":"Propagating neuronal discharges in neocortical slices: computational and experimental study","volume":"78","author":"D Golomb","year":"1997","journal-title":"J Neurophysiol"},{"key":"ref71","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":"Philos Trans R Soc Lond, B, Biol Sci"},{"key":"ref72","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1016\/S0167-2789(01)00266-4","article-title":"Traveling fronts and wave propagation failure in an inhomogeneous neural network","volume":"155","author":"PC Bressloff","year":"2001","journal-title":"Physica D"},{"key":"ref73","doi-asserted-by":"crossref","first-page":"178101","DOI":"10.1103\/PhysRevLett.91.178101","article-title":"Oscillatory waves in inhomogeneous neural media","volume":"91","author":"PC Bressloff","year":"2003","journal-title":"Phys Rev Lett"},{"key":"ref74","doi-asserted-by":"crossref","first-page":"503","DOI":"10.1016\/S0167-2789(96)00166-2","article-title":"A derivation of a macroscopic field theory of the brain from the quasimicroscopic neural dynamics","volume":"99","author":"VK Jirsa","year":"1997","journal-title":"Physica D"},{"key":"ref75","article-title":"Neocortical Dynamics and Human EEG Rhythms","author":"PL Nunez","year":"1995"},{"key":"ref76","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":"ref77","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":"ref78","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-03733-1","article-title":"Cortex: Statistics and Geometry of Neuronal Connectivity","author":"V Braitenberg","year":"1998"},{"key":"ref79","article-title":"NFTsim: Theory and Simulation of Multiscale Neural Field Dynamics","author":"P Sanz-Leon","year":"2018","journal-title":"bioRxiv"},{"key":"ref80","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1016\/0006-8993(75)90364-9","article-title":"Which elements are excited in electrical stimulation of mammalian central nervous system: a review","volume":"98","author":"JB Ranck","year":"1975","journal-title":"Brain Res"},{"key":"ref81","doi-asserted-by":"crossref","first-page":"4573","DOI":"10.1111\/j.1460-9568.2000.01306.x","article-title":"Identification of the target neuronal elements in electrical deep brain stimulation","volume":"12","author":"J Holsheimer","year":"2000","journal-title":"Eur J Neurosci"},{"key":"ref82","doi-asserted-by":"crossref","first-page":"399","DOI":"10.1016\/j.neuroscience.2010.07.032","article-title":"Which elements of the mammalian central nervous system are excited by low current stimulation with microelectrodes?","volume":"170","author":"F Rattay","year":"2010","journal-title":"Neurosci"},{"key":"ref83","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":"2014","journal-title":"J Comp Neurosci"},{"key":"ref84","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1007\/s10827-016-0607-7","article-title":"Calcium dependent plasticity applied to repetitive transcranial magnetic stimulation with a neural field model","volume":"41","author":"M Wilson","year":"2016","journal-title":"J Comp Neurosci"},{"key":"ref85","doi-asserted-by":"crossref","first-page":"806","DOI":"10.1016\/S1388-2457(00)00248-0","article-title":"Tremor-correlated cortical activity detected by electroencephalography","volume":"111","author":"B Hellwig","year":"2000","journal-title":"Clin Neurophysiol"},{"key":"ref86","doi-asserted-by":"crossref","first-page":"2029","DOI":"10.1016\/j.clinph.2017.07.419","article-title":"Parkinsonian rest tremor can be detected accurately based on neuronal oscillations recorded from the subthalamic nucleus","volume":"128","author":"J Hirschmann","year":"2017","journal-title":"Clin Neurophysiol"},{"key":"ref87","doi-asserted-by":"crossref","first-page":"e41598","DOI":"10.1371\/journal.pone.0041598","article-title":"On the origin of tremor in Parkinson\u2019s disease","volume":"7","author":"A Dovzhenok","year":"2012","journal-title":"PloS one"},{"key":"ref88","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1016\/j.neulet.2005.02.050","article-title":"Frequency dependent effects of subthalamic nucleus stimulation in Parkinson\u2019s disease","volume":"382","author":"N Fogelson","year":"2005","journal-title":"Neurosci Lett"},{"key":"ref89","doi-asserted-by":"crossref","first-page":"214","DOI":"10.1016\/j.expneurol.2007.01.027","article-title":"Excessive synchronization of basal ganglia neurons at 20 Hz slows movement in Parkinson\u2019s disease","volume":"205","author":"CC Chen","year":"2007","journal-title":"Exp Neurol"},{"key":"ref90","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1016\/j.brs.2014.10.011","article-title":"Low-frequency versus high-frequency subthalamic nucleus deep brain stimulation on postural control and gait in Parkinson\u2019s disease: a quantitative study","volume":"8","author":"S Vallabhajosula","year":"2015","journal-title":"Brain Stim"},{"key":"ref91","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":"J Roberts","year":"2012","journal-title":"Neuroimage"},{"key":"ref92","doi-asserted-by":"crossref","first-page":"346","DOI":"10.1007\/s002210100682","article-title":"Human EEG responses to 1\u2013100 Hz flicker: resonance phenomena in visual cortex and their potential correlation to cognitive phenomena","volume":"137","author":"CS Herrmann","year":"2001","journal-title":"Exp Brain Res"},{"key":"ref93","doi-asserted-by":"crossref","first-page":"2306","DOI":"10.1007\/s00415-013-6983-2","article-title":"Low-frequency subthalamic nucleus deep brain stimulation for axial symptoms in advanced Parkinson\u2019s disease","volume":"260","author":"C Sidiropoulos","year":"2013","journal-title":"J Neurol"},{"key":"ref94","doi-asserted-by":"crossref","first-page":"449","DOI":"10.1002\/ana.23951","article-title":"Adaptive deep brain stimulation in advanced Parkinson disease","volume":"74","author":"S Little","year":"2013","journal-title":"Ann Neurol"},{"key":"ref95","doi-asserted-by":"crossref","first-page":"3525","DOI":"10.1152\/jn.00808.2007","article-title":"Resonant antidromic cortical circuit activation as a consequence of high-frequency subthalamic deep-brain stimulation","volume":"98","author":"S Li","year":"2007","journal-title":"J Neurophysiol"},{"key":"ref96","doi-asserted-by":"crossref","first-page":"1569","DOI":"10.1152\/jn.00305.2006","article-title":"Computational analysis of subthalamic nucleus and lenticular fasciculus activation during therapeutic deep brain stimulation","volume":"96","author":"S Miocinovic","year":"2006","journal-title":"J Neurophysiol"}],"updated-by":[{"DOI":"10.1371\/journal.pcbi.1006217","type":"new_version","label":"New version","source":"publisher","updated":{"date-parts":[[2018,6,8]],"date-time":"2018-06-08T00:00:00Z","timestamp":1528416000000}}],"container-title":["PLOS Computational Biology"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/dx.plos.org\/10.1371\/journal.pcbi.1006217","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,6]],"date-time":"2024-07-06T23:57:26Z","timestamp":1720310246000},"score":1,"resource":{"primary":{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pcbi.1006217"}},"subtitle":[],"editor":[{"given":"Saad","family":"Jbabdi","sequence":"first","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2018,5,29]]},"references-count":96,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2018,5,29]]}},"URL":"https:\/\/doi.org\/10.1371\/journal.pcbi.1006217","relation":{},"ISSN":["1553-7358"],"issn-type":[{"value":"1553-7358","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,5,29]]}}}