Citation Relationships

Handy G, Taheri M, White JA, Borisyuk A (2017) Mathematical investigation of IP3-dependent calcium dynamics in astrocytes. J Comput Neurosci 42:257-273 [PubMed]

   A mathematical model of evoked calcium dynamics in astrocytes (Handy et al 2017)

References and models cited by this paper

References and models that cite this paper

Aguado F, Espinosa-Parrilla JF, Carmona MA, Soriano E (2002) Neuronal activity regulates correlated network properties of spontaneous calcium transients in astrocytes in situ. J Neurosci 22:9430-44 [PubMed]

Agulhon C, Sun MY, Murphy T, Myers T, Lauderdale K, Fiacco TA (2012) Calcium Signaling and Gliotransmission in Normal vs. Reactive Astrocytes. Front Pharmacol 3:139 [Journal] [PubMed]

Amiri M, Bahrami F, Janahmadi M (2012) Functional contributions of astrocytes in synchronization of a neuronal network model. J Theor Biol 292:60-70 [Journal] [PubMed]

Anderson CM, Swanson RA (2000) Astrocyte glutamate transport: review of properties, regulation, and physiological functions. Glia 32:1-14 [PubMed]

Bartlett PJ, Metzger W, Gaspers LD, Thomas AP (2015) Differential Regulation of Multiple Steps in Inositol 1,4,5-Trisphosphate Signaling by Protein Kinase C Shapes Hormone-stimulated Ca2+ Oscillations. J Biol Chem 290:18519-33 [Journal] [PubMed]

Bezzi P, Carmignoto G, Pasti L, Vesce S, Rossi D, Rizzini BL, Pozzan T, Volterra A (1998) Prostaglandins stimulate calcium-dependent glutamate release in astrocytes. Nature 391:281-5 [Journal] [PubMed]

Cao P, Tan X, Donovan G, Sanderson MJ, Sneyd J (2014) A deterministic model predicts the properties of stochastic calcium oscillations in airway smooth muscle cells. PLoS Comput Biol 10:e1003783 [Journal] [PubMed]

Courjaret R, Machaca K (2014) Mid-range Ca2+ signalling mediated by functional coupling between store-operated Ca2+ entry and IP3-dependent Ca2+ release. Nat Commun 5:3916 [Journal] [PubMed]

Croft W, Reusch K, Tilunaite A, Russell NA, Thul R, Bellamy TC (2016) Probabilistic encoding of stimulus strength in astrocyte global calcium signals. Glia 64:537-52 [Journal] [PubMed]

Croisier H, Tan X, Perez-Zoghbi JF, Sanderson MJ, Sneyd J, Brook BS (2013) Activation of store-operated calcium entry in airway smooth muscle cells: insight from a mathematical model. PLoS One 8:e69598 [Journal] [PubMed]

de Lanerolle NC, Lee TS, Spencer DD (2010) Astrocytes and epilepsy. Neurotherapeutics 7:424-38 [Journal] [PubMed]

De Pittà M, Brunel N (2016) Modulation of Synaptic Plasticity by Glutamatergic Gliotransmission: A Modeling Study. Neural Plast 2016:7607924 [Journal] [PubMed]

De Pittà M, Goldberg M, Volman V, Berry H, Ben-Jacob E (2009) Glutamate regulation of calcium and IP3 oscillating and pulsating dynamics in astrocytes. J Biol Phys 35:383-411 [Journal] [PubMed]

   Glutamate-evoked Ca2+ oscillations in single astrocytes (De Pitta et al. 2009) (Manninen et al 2017) [Model]

De Young GW, Keizer J (1992) A single-pool inositol 1,4,5-trisphosphate-receptor-based model for agonist-stimulated oscillations in Ca2+ concentration. Proc Natl Acad Sci U S A 89:9895-9 [PubMed]

Di Garbo A, Barbi M, Chillemi S, Alloisio S, Nobile M (2007) Calcium signalling in astrocytes and modulation of neural activity. Biosystems 89:74-83 [Journal] [PubMed]

Dupont G (2014) Modeling the intracellular organization of calcium signaling. Wiley Interdiscip Rev Syst Biol Med 6:227-37 [Journal] [PubMed]

Dupont G,Falcke M,Kirk V,Sneyd J (2016) Models Of Calcium Signalling

Falcke M (2004) Reading the patterns in living cells-the physics of Ca2+ signaling Advances In Physics 53:255-440

Fujita T, Chen MJ, Li B, Smith NA, Peng W, Sun W, Toner MJ, Kress BT, Wang L, Benraiss A, Takano T, Wang S, Nedergaard M (2014) Neuronal transgene expression in dominant-negative SNARE mice. J Neurosci 34:16594-604 [Journal] [PubMed]

Gatto C, Milanick MA (1993) Inhibition of the red blood cell calcium pump by eosin and other fluorescein analogues. Am J Physiol 264:C1577-86 [Journal] [PubMed]

Haydon PG (2001) GLIA: listening and talking to the synapse. Nat Rev Neurosci 2:185-93 [Journal] [PubMed]

Haydon PG, Nedergaard M (2014) How do astrocytes participate in neural plasticity? Cold Spring Harb Perspect Biol 7:a020438 [Journal] [PubMed]

Hines ML, Morse T, Migliore M, Carnevale NT, Shepherd GM (2004) ModelDB: A Database to Support Computational Neuroscience. J Comput Neurosci 17:7-11 [Journal] [PubMed]

Höfer T, Venance L, Giaume C (2002) Control and plasticity of intercellular calcium waves in astrocytes: a modeling approach. J Neurosci 22:4850-9 [PubMed]

Jousset H, Frieden M, Demaurex N (2007) STIM1 knockdown reveals that store-operated Ca2+ channels located close to sarco/endoplasmic Ca2+ ATPases (SERCA) pumps silently refill the endoplasmic reticulum. J Biol Chem 282:11456-64 [Journal] [PubMed]

Kantevari S,Gordon G,MacVicar B,Ellis-Davies GCR (2011) A practical guide to the synthesis and use of membranepermeant acetoxymethyl esters of caged inositol polyphosphates Nature Protocols 6:327-337

Keener J, Sneyd J (2009) Mathematical Physiology I: Cellular Physiology

Larsen BR, Assentoft M, Cotrina ML, Hua SZ, Nedergaard M, Kaila K, Voipio J, MacAulay N (2014) Contributions of the Na?/K?-ATPase, NKCC1, and Kir4.1 to hippocampal K? clearance and volume responses. Glia 62:608-22 [Journal] [PubMed]

Lavrentovich M, Hemkin S (2008) A mathematical model of spontaneous calcium(II) oscillations in astrocytes. J Theor Biol 251:553-60 [Journal] [PubMed]

   Spontaneous calcium oscillations in astrocytes (Lavrentovich and Hemkin 2008) [Model]
   Ca2+ oscillations in single astrocytes (Lavrentovich and Hemkin 2008) (python) (Manninen et al 2017) [Model]

Li YX, Rinzel J (1994) Equations for InsP3 receptor-mediated [Ca2+]i oscillations derived from a detailed kinetic model: a Hodgkin-Huxley like formalism. J Theor Biol 166:461-73 [Journal] [PubMed]

Liu QS, Xu Q, Kang J, Nedergaard M (2004) Astrocyte activation of presynaptic metabotropic glutamate receptors modulates hippocampal inhibitory synaptic transmission. Neuron Glia Biol 1:307-16 [Journal] [PubMed]

Liu W, Tang F, Chen J (2010) Designing dynamical output feedback controllers for store-operated Ca²+ entry. Math Biosci 228:110-8 [Journal] [PubMed]

Malarkey EB, Ni Y, Parpura V (2008) Ca2+ entry through TRPC1 channels contributes to intracellular Ca2+ dynamics and consequent glutamate release from rat astrocytes. Glia 56:821-35 [Journal] [PubMed]

Mckay MD, Beckman RJ, Conover WJ (1979) Comparison of three methods for selecting values of input variables in the analysis of output from a computer code Technometrics 21:239-245

Nedergaard M, Ransom B, Goldman SA (2003) New roles for astrocytes: redefining the functional architecture of the brain. Trends Neurosci 26:523-30 [Journal] [PubMed]

Nedergaard M, Verkhratsky A (2012) Artifact versus reality--how astrocytes contribute to synaptic events. Glia 60:1013-23 [Journal] [PubMed]

Nezu A, Tanimura A, Morita T, Tojyo Y (2010) Visualization of Ins(1,4,5)P3 dynamics in living cells: two distinct pathways for Ins(1,4,5)P3 generation following mechanical stimulation of HSY-EA1 cells. J Cell Sci 123:2292-8 [Journal] [PubMed]

Pasti L, Pozzan T, Carmignoto G (1995) Long-lasting changes of calcium oscillations in astrocytes. A new form of glutamate-mediated plasticity. J Biol Chem 270:15203-10 [PubMed]

Plenge-Tellechea F, Soler F, Fernandez-Belda F (1997) On the inhibition mechanism of sarcoplasmic or endoplasmic reticulum Ca2+-ATPases by cyclopiazonic acid. J Biol Chem 272:2794-800 [PubMed]

Reato D, Cammarota M, Parra LC, Carmignoto G (2012) Computational model of neuron-astrocyte interactions during focal seizure generation. Front Comput Neurosci 6:81 [Journal] [PubMed]

Ridet JL, Malhotra SK, Privat A, Gage FH (1997) Reactive astrocytes: cellular and molecular cues to biological function. Trends Neurosci 20:570-7 [PubMed]

Roos J, DiGregorio PJ, Yeromin AV, Ohlsen K, Lioudyno M, Zhang S, Safrina O, Kozak JA, Wagner SL, Cahalan MD, Veliçelebi G, Stauderman KA (2005) STIM1, an essential and conserved component of store-operated Ca2+ channel function. J Cell Biol 169:435-45 [Journal] [PubMed]

Shigetomi E, Tong X, Kwan KY, Corey DP, Khakh BS (2011) TRPA1 channels regulate astrocyte resting calcium and inhibitory synapse efficacy through GAT-3. Nat Neurosci 15:70-80 [Journal] [PubMed]

Singh P, Mhaka AM, Christensen SB, Gray JJ, Denmeade SR, Isaacs JT (2005) Applying linear interaction energy method for rational design of noncompetitive allosteric inhibitors of the sarco- and endoplasmic reticulum calcium-ATPase. J Med Chem 48:3005-14 [Journal] [PubMed]

Sneyd J, Tsaneva-Atanasova K, Reznikov V, Bai Y, Sanderson MJ, Yule DI (2006) A method for determining the dependence of calcium oscillations on inositol trisphosphate oscillations. Proc Natl Acad Sci U S A 103:1675-80 [Journal] [PubMed]

Sneyd J, Tsaneva-Atanasova K, Yule DI, Thompson JL, Shuttleworth TJ (2004) Control of calcium oscillations by membrane fluxes. Proc Natl Acad Sci U S A 101:1392-6 [Journal] [PubMed]

Takahashi DK, Vargas JR, Wilcox KS (2010) Increased coupling and altered glutamate transport currents in astrocytes following kainic-acid-induced status epilepticus. Neurobiol Dis 40:573-85 [Journal] [PubMed]

Tanimura A, Morita T, Nezu A, Shitara A, Hashimoto N, Tojyo Y (2009) Use of Fluorescence Resonance Energy Transfer-based Biosensors for the Quantitative Analysis of Inositol 1,4,5-Trisphosphate Dynamics in Calcium Oscillations. J Biol Chem 284:8910-7 [Journal] [PubMed]

Toivari E, Manninen T, Nahata AK, Jalonen TO, Linne ML (2011) Effects of transmitters and amyloid-beta peptide on calcium signals in rat cortical astrocytes: Fura-2AM measurements and stochastic model simulations. PLoS One 6:e17914 [Journal] [PubMed]

Tower DB, Young OM (1973) The activities of butyrylcholinesterase and carbonic anhydrase, the rate of anaerobic glycolysis, and the question of a constant density of glial cells in cerebral cortices of various mammalian species from mouse to whale. J Neurochem 20:269-78 [PubMed]

Ullah G, Jung P, Cornell-Bell AH (2006) Anti-phase calcium oscillations in astrocytes via inositol (1, 4, 5)-trisphosphate regeneration. Cell Calcium 39:197-208 [Journal] [PubMed]

Verkhratsky A, Rodríguez JJ, Parpura V (2012) Calcium signalling in astroglia. Mol Cell Endocrinol 353:45-56 [Journal] [PubMed]

Verkhratsky A, Sofroniew MV, Messing A, deLanerolle NC, Rempe D, Rodríguez JJ, Nedergaard M (2012) Neurological diseases as primary gliopathies: a reassessment of neurocentrism. ASN Neuro [Journal] [PubMed]

Wade JJ, McDaid LJ, Harkin J, Crunelli V, Kelso JA (2011) Bidirectional coupling between astrocytes and neurons mediates learning and dynamic coordination in the brain: a multiple modeling approach. PLoS One 6:e29445 [Journal] [PubMed]

Wallraff A, Köhling R, Heinemann U, Theis M, Willecke K, Steinhäuser C (2006) The impact of astrocytic gap junctional coupling on potassium buffering in the hippocampus. J Neurosci 26:5438-47 [Journal] [PubMed]

Wang F, Smith NA, Xu Q, Fujita T, Baba A, Matsuda T, Takano T, Bekar L, Nedergaard M (2012) Astrocytes modulate neural network activity by Ca²+-dependent uptake of extracellular K+. Sci Signal 5:ra26 [Journal] [PubMed]

Wang F, Smith NA, Xu Q, Goldman S, Peng W, Huang JH, Takano T, Nedergaard M (2013) Photolysis of caged Ca2+ but not receptor-mediated Ca2+ signaling triggers astrocytic glutamate release. J Neurosci 33:17404-12 [Journal] [PubMed]

Zhou Y, Danbolt NC (2013) GABA and Glutamate Transporters in Brain. Front Endocrinol (Lausanne) 4:165 [Journal] [PubMed]

(58 refs)