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Agudelo-Toro A, Neef A (2013) Computationally efficient simulation of electrical activity at cell membranes interacting with self-generated and externally imposed electric fields. J Neural Eng 10:026019 [Journal] [PubMed] Aguilella VM,Mafé S,Pellicer J (1987) On the nature of the diffusion potential derived from Nernst-Planck flux equations by using the electroneutrality assumption Electrochimica acta 32(3):483-488 [Journal] Alneas M,Blechta J,Hake J,Johansson A,Kehlet B,Logg A (2015) The FEniCS project version 1.5 Archive Of Numerical Software 3(100):9-23 Barreto E, Cressman JR (2011) Ion concentration dynamics as a mechanism for neuronal bursting. J Biol Phys 37:361-73 [Journal] [PubMed]
Bédard C, Destexhe A (2011) Generalized theory for current-source-density analysis in brain tissue. Phys Rev E Stat Nonlin Soft Matter Phys 84:041909 [Journal] [PubMed] Bédard C, Rodrigues S, Roy N, Contreras D, Destexhe A (2010) Evidence for frequency-dependent extracellular impedance from the transfer function between extracellular and intracellular potentials: intracellular-LFP transfer function. J Comput Neurosci 29:389-403 [Journal] [PubMed] Behrend O, Dickson B, Clarke E, Jin C, Carlile S (2004) Neural responses to free field and virtual acoustic stimulation in the inferior colliculus of the guinea pig. J Neurophysiol 92:3014-29 [Journal] [PubMed] Britz D,Strutwolf J (2014) Several ways to simulate time dependent liquid junction potentials by finite differences Electrochimica Acta 137:328-335 [Journal] Chen KC, Nicholson C (2000) Spatial buffering of potassium ions in brain extracellular space. Biophys J 78:2776-97 [Journal] [PubMed] Cordingley GE, Somjen GG (1978) The clearing of excess potassium from extracellular space in spinal cord and cerebral cortex. Brain Res 151:291-306 [PubMed] Cressman JR, Ullah G, Ziburkus J, Schiff SJ, Barreto E (2009) The influence of sodium and potassium dynamics on excitability, seizures, and the stability of persistent states: I. Single neuron dynamics. J Comput Neurosci 26:159-70 [Journal] [PubMed]
Dietzel I, Heinemann U, Lux HD (1989) Relations between slow extracellular potential changes, glial potassium buffering, and electrolyte and cellular volume changes during neuronal hyperactivity in cat brain. Glia 2:25-44 [Journal] [PubMed] Engelhardt JK, Morales FR, Chase MH (1998) An alternative method for the analysis of neuron passive electrical data which uses integrals of voltage transients. J Neurosci Methods 81:131-8 [PubMed] Enger R, Tang W, Vindedal GF, Jensen V, Johannes Helm P, Sprengel R, Looger LL, Nagelhus EA (2015) Dynamics of Ionic Shifts in Cortical Spreading Depression. Cereb Cortex 25:4469-76 [Journal] [PubMed] Fleidervish IA, Lasser-Ross N, Gutnick MJ, Ross WN (2010) Na+ imaging reveals little difference in action potential-evoked Na+ influx between axon and soma. Nat Neurosci 13:852-60 [Journal] [PubMed] Florence G, Dahlem MA, Almeida AC, Bassani JW, Kurths J (2009) The role of extracellular potassium dynamics in the different stages of ictal bursting and spreading depression: a computational study. J Theor Biol 258:219-28 [Journal] [PubMed] Gardner CL, Jones JR, Baer SM, Crook SM (2015) Drift-diffusion simulation of the ephaptic effect in the triad synapse of the retina. J Comput Neurosci 38:129-42 [Journal] [PubMed] Gratiy SL, Halnes G, Denman D, Hawrylycz MJ, Koch C, Einevoll GT, Anastassiou CA (2017) From Maxwell's equations to the theory of current-source density analysis. Eur J Neurosci 45:1013-1023 [Journal] [PubMed] Grodzinsky F (2011) Fields, Forces, and Flows in Biological Systems Halnes G, Mäki-Marttunen T, Keller D, Pettersen KH, Andreassen OA, Einevoll GT (2016) Effect of Ionic Diffusion on Extracellular Potentials in Neural Tissue. PLoS Comput Biol 12:e1005193 [Journal] [PubMed]
Halnes G, Mäki-Marttunen T, Pettersen KH, Andreassen OA, Einevoll GT (2017) Ion diffusion may introduce spurious current sources in current-source density (CSD) analysis. J Neurophysiol 118:114-120 [Journal] [PubMed] Halnes G, Ostby I, Pettersen KH, Omholt SW, Einevoll GT (2013) Electrodiffusive model for astrocytic and neuronal ion concentration dynamics. PLoS Comput Biol 9:e1003386 [Journal] [PubMed]
Halnes G,Ostby I,Pettersen KH,Omholt SW,Einevoll GT (2015) An Electrodiffusive Formalism for Ion Concentration Dynamics in Excitable Cells and the Extracellular Space Surrounding Them Advances in cognitive neurodynamics (IV) :353-360 Hay E, Hill S, Schürmann F, Markram H, Segev I (2011) Models of neocortical layer 5b pyramidal cells capturing a wide range of dendritic and perisomatic active properties. PLoS Comput Biol 7:e1002107 [Journal] [PubMed] Henderson P (1907) Zur Thermodynamik der Fliissigkeitsketten Z Physikal Chem 59:118-127 Herrera-Valdez MA (2014) Geometry and nonlinear dynamics underlying excitability phenotypes in biophysical models of membrane potential Phd Thesis [Journal] Herrera-Valdez MA (2018) A thermodynamic description for physiological transmembrane transport. F1000Res 7:1468 [Journal] [PubMed] Hines ML, Davison AP, Muller E (2009) NEURON and Python. Front Neuroinform 3:1 [Journal] [PubMed]
Holt GR, Koch C (1999) Electrical interactions via the extracellular potential near cell bodies. J Comput Neurosci 6:169-84 [Journal] [PubMed]
Hübel N, Dahlem MA (2014) Dynamics from seconds to hours in Hodgkin-Huxley model with time-dependent ion concentrations and buffer reservoirs. PLoS Comput Biol 10:e1003941 [Journal] [PubMed]
Kerr RA, Bartol TM, Kaminsky B, Dittrich M, Chang JC, Baden SB, Sejnowski TJ, Stiles JR (2008) FAST MONTE CARLO SIMULATION METHODS FOR BIOLOGICAL REACTION-DIFFUSION SYSTEMS IN SOLUTION AND ON SURFACES. SIAM J Sci Comput 30:3126 [Journal] [PubMed] Koch C (1998) Biophysics of Computation: Information Processing in Single Neurons Larson MG,Bengzon F (2013) The finite element method: Theory, implementation, and applications Lehmenkühler A, Syková E, Svoboda J, Zilles K, Nicholson C (1993) Extracellular space parameters in the rat neocortex and subcortical white matter during postnatal development determined by diffusion analysis. Neuroscience 55:339-51 [PubMed] Léonetti M, Dubois-Violette E, Homblé F (2004) Pattern formation of stationary transcellular ionic currents in Fucus. Proc Natl Acad Sci U S A 101:10243-8 [Journal] [PubMed] Leonetti M,Dubois-Violette E (1998) Theory of Electrodynamic Instabilities in Biological Cells Physical Review Letters 81:1977-1980 Leski S, Lindén H, Tetzlaff T, Pettersen KH, Einevoll GT (2013) Frequency dependence of signal power and spatial reach of the local field potential. PLoS Comput Biol 9:e1003137 [Journal] [PubMed] Lindén H, Hagen E, Leski S, Norheim ES, Pettersen KH, Einevoll GT (2013) LFPy: a tool for biophysical simulation of extracellular potentials generated by detailed model neurons. Front Neuroinform 7:41 [Journal] [PubMed] Logg A,Mardal KA,Wells G (2012) Automated solution of differential equations by the finite element method: The FEniCS book Lopreore CL, Bartol TM, Coggan JS, Keller DX, Sosinsky GE, Ellisman MH, Sejnowski TJ (2008) Computational modeling of three-dimensional electrodiffusion in biological systems: application to the node of Ranvier. Biophys J 95:2624-35 [Journal] [PubMed] Lu B, Zhou YC, Huber GA, Bond SD, Holst MJ, McCammon JA (2007) Electrodiffusion: a continuum modeling framework for biomolecular systems with realistic spatiotemporal resolution. J Chem Phys 127:135102 [Journal] [PubMed] McDougal RA, Hines ML, Lytton WW (2013) Reaction-diffusion in the NEURON simulator. Front Neuroinform 7:28 [Journal] [PubMed]
Mitzdorf U (1985) Current source-density method and application in cat cerebral cortex: investigation of evoked potentials and EEG phenomena. Physiol Rev 65:37-100 [Journal] [PubMed] Mori Y (2009) From Three-Dimensional Electrophysiology to the Cable Model: an Asymptotic Study arXiv:09013914 q-bio.NC:1-39 Mori Y, Fishman GI, Peskin CS (2008) Ephaptic conduction in a cardiac strand model with 3D electrodiffusion. Proc Natl Acad Sci U S A 105:6463-8 [Journal] [PubMed] Mori Y,Liu C,Eisenberg RS (2011) A Model of Electrodiffusion and Osmotic Water Flow and its Energetic Structure arXiv preprint arXiv:11015193 Mori Y,Peskin C (2009) A numerical method for cellular electrophysiology based on the electrodiffusion equations with internal boundary conditions at membranes Communications in Applied Mathematics and Computational Science 4.1:85-134 [Journal] Nanninga PM (2008) A computational neuron model based on Poisson-Nernst-Planck theory ANZIAM Journal 50:46 [Journal] Nicholson C, Phillips JM (1981) Ion diffusion modified by tortuosity and volume fraction in the extracellular microenvironment of the rat cerebellum. J Physiol 321:225-57 [PubMed] Niederer S (2013) Regulation of ion gradients across myocardial ischemic border zones: a biophysical modelling analysis. PLoS One 8:e60323 [Journal] [PubMed] Øyehaug L, Østby I, Lloyd CM, Omholt SW, Einevoll GT (2012) Dependence of spontaneous neuronal firing and depolarisation block on astroglial membrane transport mechanisms. J Comput Neurosci 32:147-65 [Journal] [PubMed]
Park EH, Durand DM (2006) Role of potassium lateral diffusion in non-synaptic epilepsy: a computational study. J Theor Biol 238:666-82 [Journal] [PubMed] Perram JW, Stiles PJ (2006) On the nature of liquid junction and membrane potentials. Phys Chem Chem Phys 8:4200-13 [Journal] [PubMed] Pettersen KH, Einevoll GT (2008) Amplitude variability and extracellular low-pass filtering of neuronal spikes. Biophys J 94:784-802 [Journal] [PubMed] Pettersen KH, Hagen E, Einevoll GT (2008) Estimation of population firing rates and current source densities from laminar electrode recordings. J Comput Neurosci 24:291-313 [Journal] [PubMed] Pods J (2017) A comparison of computational models for the extracellular potential of neurons. J Integr Neurosci 16:19-32 [Journal] [PubMed] Pods J, Schönke J, Bastian P (2013) Electrodiffusion models of neurons and extracellular space using the Poisson-Nernst-Planck equations--numerical simulation of the intra- and extracellular potential for an axon model. Biophys J 105:242-54 [Journal] [PubMed] Raimondo JV, Burman RJ, Katz AA, Akerman CJ (2015) Ion dynamics during seizures. Front Cell Neurosci 9:419 [Journal] [PubMed] Rall W (1989) Cable theory for dendritic neurons Methods In Neuronal Modeling: From Synapses To Networks, Koch C:Segev I, ed. pp.9 Reimann MW, Anastassiou CA, Perin R, Hill SL, Markram H, Koch C (2013) A biophysically detailed model of neocortical local field potentials predicts the critical role of active membrane currents. Neuron 79:375-90 [Journal] [PubMed] Spong KE, Andrew RD, Robertson RM (2016) Mechanisms of spreading depolarization in vertebrate and insect central nervous systems. J Neurophysiol 116:1117-27 [Journal] [PubMed] Syková E, Nicholson C (2008) Diffusion in brain extracellular space. Physiol Rev 88:1277-340 [Journal] [PubMed] Tveito A, Jæger KH, Lines GT, Paszkowski L, Sundnes J, Edwards AG, Maki-Marttunen T, Halnes G, Einevoll GT (2017) An Evaluation of the Accuracy of Classical Models for Computing the Membrane Potential and Extracellular Potential for Neurons. Front Comput Neurosci 11:27 [Journal] [PubMed] Ullah G, Cressman JR, Barreto E, Schiff SJ (2009) The influence of sodium and potassium dynamics on excitability, seizures, and the stability of persistent states. II. Network and glial dynamics. J Comput Neurosci 26:171-83 [Journal] [PubMed]
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