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Shapiro BE (2001) Osmotic forces and gap junctions in spreading depression: a computational model. J Comput Neurosci 10:99-120 [PubMed]

References and models cited by this paper

References and models that cite this paper

Aitken PG, Borgdorff AJ, Juta AJ, Kiehart DP, Somjen GG, Wadman WJ (1998) Volume changes induced by osmotic stress in freshly isolated rat hippocampal neurons. Pflugers Arch 436:991-8 [Journal] [PubMed]

Aitken PG, Tombaugh GC, Turner DA, Somjen GG (1998) Similar propagation of SD and hypoxic SD-like depolarization in rat hippocampus recorded optically and electrically. J Neurophysiol 80:1514-21 [Journal] [PubMed]

Ashton D, Willems R, Wynants J, Van Reempts J, Marrannes R, Clincke G (1997) Altered Na(+)-channel function as an in vitro model of the ischemic penumbra: action of lubeluzole and other neuroprotective drugs. Brain Res 745:210-21 [PubMed]

Atri A (1996) Mathematical modeling and analysis of intracellular calcium dynamics: Oscillations and wave propagation

Atri A, Amundson J, Clapham D, Sneyd J (1993) A single-pool model for intracellular calcium oscillations and waves in the Xenopus laevis oocyte. Biophys J 65:1727-39 [Journal] [PubMed]

Avoli M, Nagao T, Köhling R, Lücke A, Mattia D (1996) Synchronization of rat hippocampal neurons in the absence of excitatory amino acid-mediated transmission. Brain Res 735:188-96 [PubMed]

Basarsky TA, Duffy SN, Andrew RD, MacVicar BA (1998) Imaging spreading depression and associated intracellular calcium waves in brain slices. J Neurosci 18:7189-99 [PubMed]

Bayer VE, Pickel VM (1990) Ultrastructural localization of tyrosine hydroxylase in the rat ventral tegmental area: relationship between immunolabeling density and neuronal associations. J Neurosci 10:2996-3013 [PubMed]

Belluardo N, Trovato-Salinaro A, Mudò G, Hurd YL, Condorelli DF (1999) Structure, chromosomal localization, and brain expression of human Cx36 gene. J Neurosci Res 57:740-52 [PubMed]

Berridge MJ (1993) Inositol trisphosphate and calcium signalling. Nature 361:315-25 [Journal] [PubMed]

Blatz AL, Magleby KL (1987) Calcium-activated potassium channels Trends Neurosci 10:463-467

Bozhilova-Pastirova A, Ovtscharoff W (1995) Structure of the synaptic junctions in the rat sensorimotor cortex: freeze-etching study of neuronal gap junctions. Neurosci Lett 201:265-7 [PubMed]

Bures J, Buresova O, Krivanek J (1974) The Mechanism and Applications of Leaos Spreading Depression of Electroencephalographic Activity

Burton FL, Hutter OF (1990) Sensitivity to flow of intrinsic gating in inwardly rectifying potassium channel from mammalian skeletal muscle. J Physiol 424:253-61 [PubMed]

Christie BR, Eliot LS, Ito K, Miyakawa H, Johnston D (1995) Different Ca2+ channels in soma and dendrites of hippocampal pyramidal neurons mediate spike-induced Ca2+ influx. J Neurophysiol 73:2553-7 [Journal] [PubMed]

Colbert CM, Johnston D (1996) Axonal action-potential initiation and Na+ channel densities in the soma and axon initial segment of subicular pyramidal neurons. J Neurosci 16:6676-86 [PubMed]

De Schutter E, Bower JM (1994) An active membrane model of the cerebellar Purkinje cell. I. Simulation of current clamps in slice. J Neurophysiol 71:375-400 [Journal] [PubMed]

   Cerebellar purkinje cell (De Schutter and Bower 1994) [Model]

De Schutter E, Smolen P (1998) Calcium dynamics in large neuronal models Methods In Neuronal Modeling: From Ions To Networks, Koch C:Segev I, ed. pp.211

Destexhe A, Mainen ZF, Sejnowski TJ (1998) Kinetic models of synaptic transmission Methods In Neuronal Modeling, Koch C:Segev I, ed. pp.1

   Kinetic synaptic models applicable to building networks (Destexhe et al 1998) [Model]

DiFrancesco D, Noble D (1985) A model of cardiac electrical activity incorporating ionic pumps and concentration changes. Philos Trans R Soc Lond B Biol Sci 307:353-98 [Journal] [PubMed]

   Cardiac action potentials and pacemaker activity of sinoatrial node (DiFrancesco & Noble 1985) [Model]

DiPolo R, Beaugé L (1979) Physiological role of ATP-driven calcium pump in squid axon. Nature 278:271-3 [PubMed]

Douglas R, Martin K (1998) Neocortex The Synaptic Organization Of The Brain, Shepherd GM, ed.

Fan J, Walsh KB (1999) Mechanical stimulation regulates voltage-gated potassium currents in cardiac microvascular endothelial cells. Circ Res 84:451-7 [PubMed]

Farley J, Rudy B (1988) Multiple types of voltage-dependent Ca2+-activated K+ channels of large conductance in rat brain synaptosomal membranes. Biophys J 53:919-34 [Journal] [PubMed]

Felix JA, Woodruff ML, Dirksen ER (1996) Stretch increases inositol 1,4,5-trisphosphate concentration in airway epithelial cells. Am J Respir Cell Mol Biol 14:296-301 [Journal] [PubMed]

Fróes MM, Correia AH, Garcia-Abreu J, Spray DC, Campos de Carvalho AC, Neto MV (1999) Gap-junctional coupling between neurons and astrocytes in primary central nervous system cultures. Proc Natl Acad Sci U S A 96:7541-6 [PubMed]

Garaschuk O, Schneggenburger R, Schirra C, Tempia F, Konnerth A (1996) Fractional Ca2+ currents through somatic and dendritic glutamate receptor channels of rat hippocampal CA1 pyramidal neurones. J Physiol 491 ( Pt 3):757-72 [PubMed]

Gardner-Medwin AR (1981) Possible roles of vertebrate neuroglia in potassium dynamics, spreading depression and migraine. J Exp Biol 95:111-27 [PubMed]

Gillessen T, Alzheimer C (1997) Amplification of EPSPs by low Ni(2+)- and amiloride-sensitive Ca2+ channels in apical dendrites of rat CA1 pyramidal neurons. J Neurophysiol 77:1639-43 [Journal] [PubMed]

Gruol DL, Jacquin T, Yool AJ (1991) Single-channel K+ currents recorded from the somatic and dendritic regions of cerebellar Purkinje neurons in culture. J Neurosci 11:1002-15 [PubMed]

Hablitz JJ, Heinemann U (1989) Alterations in the microenvironment during spreading depression associated with epileptiform activity in the immature neocortex. Brain Res Dev Brain Res 46:243-52 [PubMed]

Hernándéz-Cáceres J, Macias-González R, Brozek G, Bures J (1987) Systemic ketamine blocks cortical spreading depression but does not delay the onset of terminal anoxic depolarization in rats. Brain Res 437:360-4 [PubMed]

Herreras O, Largo C, Ibarz JM, Somjen GG, Martín del Río R (1994) Role of neuronal synchronizing mechanisms in the propagation of spreading depression in the in vivo hippocampus. J Neurosci 14:7087-98 [PubMed]

Herreras O, Somjen GG (1993) Propagation of spreading depression among dendrites and somata of the same cell population. Brain Res 610:276-82 [PubMed]

Hille B (1992) Potassium channels and chloride channels Ionic Channels of Excitable Membrane, Hille B, ed. pp.115

HODGKIN AL, HUXLEY AF (1952) A quantitative description of membrane current and its application to conduction and excitation in nerve. J Physiol 117:500-44 [Journal] [PubMed]

   Squid axon (Hodgkin, Huxley 1952) (LabAXON) [Model]
   Squid axon (Hodgkin, Huxley 1952) (NEURON) [Model]
   Squid axon (Hodgkin, Huxley 1952) (SNNAP) [Model]
   Squid axon (Hodgkin, Huxley 1952) used in (Chen et al 2010) (R language) [Model]
   Squid axon (Hodgkin, Huxley 1952) (SBML, XPP, other) [Model]

Hoffman DA, Magee JC, Colbert CM, Johnston D (1997) K+ channel regulation of signal propagation in dendrites of hippocampal pyramidal neurons. Nature 387:869-75 [Journal] [PubMed]

Holmes WR (1995) Modeling the effect of glutamate diffusion and uptake on NMDA and non-NMDA receptor saturation. Biophys J 69:1734-47 [Journal] [PubMed]

Jakobsson E (1980) Interactions of cell volume, membrane potential, and membrane transport parameters. Am J Physiol 238:C196-206 [Journal] [PubMed]

Ji S, John SA, Lu Y, Weiss JN (1998) Mechanosensitivity of the cardiac muscarinic potassium channel. A novel property conferred by Kir3.4 subunit. J Biol Chem 273:1324-8 [PubMed]

Jing J, Aitken PG, Somjen GG (1994) Interstitial volume changes during spreading depression (SD) and SD-like hypoxic depolarization in hippocampal tissue slices. J Neurophysiol 71:2548-51 [Journal] [PubMed]

Kandler K, Katz LC (1998) Relationship between dye coupling and spontaneous activity in developing ferret visual cortex. Dev Neurosci 20:59-64 [Journal] [PubMed]

Kavalali ET, Zhuo M, Bito H, Tsien RW (1997) Dendritic Ca2+ channels characterized by recordings from isolated hippocampal dendritic segments. Neuron 18:651-63 [PubMed]

Keener J, Sneyd J (1998) Mathematical Physiology Interdisciplinary Applied Mathematics

Koch C (1999) Biophysics Of Computation: Information Processing in Single Neurons

Koroleva VI, Vinogradova LV, Bures J (1993) Reduced incidence of cortical spreading depression in the course of pentylenetetrazol kindling in rats. Brain Res 608:107-14 [PubMed]

Kostyuk PG, Verkhratsky AN (1995) Calcium Signalling In The Nervous System

Kraig RP, Nicholson C (1978) Extracellular ionic variations during spreading depression. Neuroscience 3:1045-59 [PubMed]

Lal R, Arnsdorf MF (1992) Voltage-dependent gating and single-channel conductance of adult mammalian atrial gap junctions. Circ Res 71:737-43 [PubMed]

Largo C, Cuevas P, Somjen GG, Martín del Río R, Herreras O (1996) The effect of depressing glial function in rat brain in situ on ion homeostasis, synaptic transmission, and neuron survival. J Neurosci 16:1219-29 [PubMed]

Largo C, Ibarz JM, Herreras O (1997) Effects of the gliotoxin fluorocitrate on spreading depression and glial membrane potential in rat brain in situ. J Neurophysiol 78:295-307 [Journal] [PubMed]

Largo C, Tombaugh GC, Aitken PG, Herreras O, Somjen GG (1997) Heptanol but not fluoroacetate prevents the propagation of spreading depression in rat hippocampal slices. J Neurophysiol 77:9-16 [Journal] [PubMed]

Lauritzen M, Hansen AJ (1992) The effect of glutamate receptor blockade on anoxic depolarization and cortical spreading depression. J Cereb Blood Flow Metab 12:223-9 [Journal] [PubMed]

Lauritzen M, Rice ME, Okada Y, Nicholson C (1988) Quisqualate, kainate and NMDA can initiate spreading depression in the turtle cerebellum. Brain Res 475:317-27 [PubMed]

Leao AAP (1944) Pial circulation and spreading depression of activity in cerebral cortex J Neurophysiol 7:391-396 [Journal]

Leao AAP (1944) Spreading depression of activity in the cerebral cortex Ph.D. Thesis

Leao AAP (1944) Spreading depression of activity in the cerebral cortex J Neurophysiol 7:359-390 [Journal]

Lemieux DR, Roberge FA, Joly D (1992) Modeling the dynamic features of the electrogenic Na,K pump of cardiac cells. J Theor Biol 154:335-58 [PubMed]

Magee JC, Johnston D (1995) Synaptic activation of voltage-gated channels in the dendrites of hippocampal pyramidal neurons. Science 268:301-4 [PubMed]

Magee JC, Johnston D (1995) Characterization of single voltage-gated Na+ and Ca2+ channels in apical dendrites of rat CA1 pyramidal neurons. J Physiol 487:67-90 [PubMed]

Mainen ZF, Sejnowski TJ (1998) Chapter 5 Modeling Active Dendritic Processes in Pyramidal Cells Methods in Neuronal Modeling: From Ions to Networks :171-210

Marrannes R, Willems R, De Prins E, Wauquier A (1988) Evidence for a role of the N-methyl-D-aspartate (NMDA) receptor in cortical spreading depression in the rat. Brain Res 457:226-40 [PubMed]

Martins-Ferreira H, Ribeiro LJ (1995) Biphasic effects of gap junctional uncoupling agents on the propagation of retinal spreading depression. Braz J Med Biol Res 28:991-4 [PubMed]

Mayer ML, Westbrook GL (1987) Permeation and block of N-methyl-D-aspartic acid receptor channels by divalent cations in mouse cultured central neurones. J Physiol 394:501-27 [PubMed]

McCown TJ, Breese GR (1990) Effects of apamin and nicotinic acetylcholine receptor antagonists on inferior collicular seizures. Eur J Pharmacol 187:49-58 [PubMed]

McLachlan RS (1992) Suppression of spreading depression of Leão in neocortex by an N-methyl-D-aspartate receptor antagonist. Can J Neurol Sci 19:487-91 [PubMed]

Mienville J, Barker JL, Lange GD (1996) Mechanosensitive properties of BK channels from embryonic rat neuroepithelium. J Membr Biol 153:211-6 [PubMed]

Morton KW, Mayers KF (1994) Numerical Solution of Partial Differential Equations: An Introduction

Müller M, Somjen GG (1998) Inhibition of major cationic inward currents prevents spreading depression-like hypoxic depolarization in rat hippocampal tissue slices. Brain Res 812:1-13 [PubMed]

Nadarajah B, Parnavelas JG (1999) Gap junction-mediated communication in the developing and adult cerebral cortex. Novartis Found Symp 219:157-70; discussion 170-4 [PubMed]

Nedergaard M, Cooper AJ, Goldman SA (1995) Gap junctions are required for the propagation of spreading depression. J Neurobiol 28:433-44 [Journal] [PubMed]

Nellgård B, Wieloch T (1992) NMDA-receptor blockers but not NBQX, an AMPA-receptor antagonist, inhibit spreading depression in the rat brain. Acta Physiol Scand 146:497-503 [Journal] [PubMed]

Nicholson C, Syková E (1998) Extracellular space structure revealed by diffusion analysis. Trends Neurosci 21:207-15 [PubMed]

Noma A, Tsuboi N (1987) Dependence of junctional conductance on proton, calcium and magnesium ions in cardiac paired cells of guinea-pig. J Physiol 382:193-211 [PubMed]

Peinado A, Yuste R, Katz LC (1993) Gap junctional communication and the development of local circuits in neocortex. Cereb Cortex 3:488-98 [PubMed]

Pleumsamran A, Kim D (1995) Membrane stretch augments the cardiac muscarinic K+ channel activity. J Membr Biol 148:287-97 [PubMed]

Psarropoulou C, Avoli M (1993) 4-Aminopyridine-induced spreading depression episodes in immature hippocampus: developmental and pharmacological characteristics. Neuroscience 55:57-68 [PubMed]

Qian N, Sejnowski TJ (1989) An electro-diffusion model for computing membrane potentials and ionic concentrations in branching dendrites, spines and axons. Biol Cybern 62:1-15

Reggia JA, Montgomery D (1996) A computational model of visual hallucinations in migraine. Comput Biol Med 26:133-41 [PubMed]

Reinhart PH, Chung S, Levitan IB (1989) A family of calcium-dependent potassium channels from rat brain. Neuron 2:1031-41 [PubMed]

Revett K, Ruppin E, Goodall S, Reggia JA (1998) Spreading depression in focal ischemia: a computational study. J Cereb Blood Flow Metab 18:998-1007 [Journal] [PubMed]

Rörig B, Klausa G, Sutor B (1995) Dye coupling between pyramidal neurons in developing rat prefrontal and frontal cortex is reduced by protein kinase A activation and dopamine. J Neurosci 15:7386-400 [PubMed]

Rusakov DA, Kullmann DM (1998) Geometric and viscous components of the tortuosity of the extracellular space in the brain. Proc Natl Acad Sci U S A 95:8975-80 [PubMed]

Sah P (1996) Ca(2+)-activated K+ currents in neurones: types, physiological roles and modulation. Trends Neurosci 19:150-4 [PubMed]

Sasaki N, Mitsuiye T, Noma A (1992) Effects of mechanical stretch on membrane currents of single ventricular myocytes of guinea pig hearts Jap J Physiol 42:957-970

Scheller D, Tegtmeier F, Schlue WR (1998) Dose-dependent effects of tetraethylammonium on circling spreading depressions in chicken retina. J Neurosci Res 51:85-9 [Journal] [PubMed]

Schneggenburger R (1996) Simultaneous measurement of Ca2+ influx and reversal potentials in recombinant N-methyl-D-aspartate receptor channels. Biophys J 70:2165-74 [Journal] [PubMed]

Shapiro BE (2000) An electrophysiological model of gap-junction mediated cortical spreading depression including osmotic volume changes Ph. D. Dissertation

Simbürger E, Stang A, Kremer M, Dermietzel R (1997) Expression of connexin43 mRNA in adult rodent brain. Histochem Cell Biol 107:127-37 [PubMed]

Sloper JJ, Powell TP (1978) Gap junctions between dendrites and somata of neurons in the primate sensori-motor cortex. Proc R Soc Lond B Biol Sci 203:39-47 [Journal] [PubMed]

Somjen GG, Aitken PG, Czéh GL, Herreras O, Jing J, Young JN (1992) Mechanism of spreading depression: a review of recent findings and a hypothesis. Can J Physiol Pharmacol 70 Suppl:S248-54 [PubMed]

Stuart GJ, Sakmann B (1994) Active propagation of somatic action potentials into neocortical pyramidal cell dendrites. Nature 367:69-72 [Journal] [PubMed]

Tas PW, Massa PT, Koschel K (1986) Preliminary characterization of an Na+,K+,Cl- co-transport activity in cultured human astrocytes. Neurosci Lett 70:369-73 [PubMed]

Tas PW, Massa PT, Kress HG, Koschel K (1987) Characterization of an Na+/K+/Cl- co-transport in primary cultures of rat astrocytes. Biochim Biophys Acta 903:411-6 [PubMed]

Traub RD, Jefferys JG, Miles R, Whittington MA, Tóth K (1994) A branching dendritic model of a rodent CA3 pyramidal neurone. J Physiol 481 ( Pt 1):79-95 [PubMed]

Tuckwell HC (1980) Predictions and properties of a model of potassium and calcium ion movements during spreading cortical depression. Int J Neurosci 10:145-64 [PubMed]

Tuckwell HC (1981) Simplified reaction-diffusion equations for potassium and calcium ion concentrations during spreading cortical depression. Int J Neurosci 12:95-107 [PubMed]

Tuckwell HC, Hermansen CL (1981) Ion and transmitter movements during spreading cortical depression. Int J Neurosci 12:109-35 [PubMed]

Tuckwell HC, Miura RM (1978) A mathematical model for spreading cortical depression. Biophys J 23:257-76 [Journal] [PubMed]

Tuttle R, Masuko S, Nakajima Y (1986) Freeze-fracture study of the large myelinated club ending synapse on the goldfish Mauthner cell: special reference to the quantitative analysis of gap junctions. J Comp Neurol 246:202-11 [Journal] [PubMed]

van der Want JJ, Gramsbergen A, Ijkema-Paassen J, de Weerd H, Liem RS (1998) Dendro-dendritic connections between motoneurons in the rat spinal cord: an electron microscopic investigation. Brain Res 779:342-5 [PubMed]

Van Harreveld A (1984) The nature of the chick's magnesium-sensitive retinal spreading depression. J Neurobiol 15:333-43 [Journal] [PubMed]

Vergara C, Latorre R, Marrion NV, Adelman JP (1998) Calcium-activated potassium channels. Curr Opin Neurobiol 8:321-9 [PubMed]

Vogel R, Weingart R (1998) Mathematical model of vertebrate gap junctions derived from electrical measurements on homotypic and heterotypic channels. J Physiol 510 ( Pt 1):177-89 [PubMed]

Yamada WM, Koch C, Adams PR (1998) Multiple channels and calcium dynamics. Methods In Neuronal Modeling: From Synapses To Networks, Koch C:Segev I, ed. pp.137

Conte C, Lee R, Sarkar M, Terman D (2018) A mathematical model of recurrent spreading depolarizations. J Comput Neurosci 44:203-217 [Journal] [PubMed]

   A model for recurrent spreading depolarizations (Conte et al. 2017) [Model]

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]

   Hodgkin-Huxley with dynamic ion concentrations (Hubel and Dahlem, 2014) [Model]

Hübel N, Hosseini-Zare MS, Žiburkus J, Ullah G (2017) The role of glutamate in neuronal ion homeostasis: A case study of spreading depolarization. PLoS Comput Biol 13:e1005804 [Journal] [PubMed]

   The role of glutamate in neuronal ion homeostasis: spreading depolarization (Hubel et al 2017) [Model]

Kager H, Wadman WJ, Somjen GG (2002) Conditions for the triggering of spreading depression studied with computer simulations. J Neurophysiol 88:2700-12 [Journal] [PubMed]

Somjen GG (2001) Mechanisms of spreading depression and hypoxic spreading depression-like depolarization. Physiol Rev 81:1065-96 [Journal] [PubMed]

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