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Volumn 9, Issue 3, 2010, Pages 283-297

Analytical solution of reaction-diffusion equations for calcium wave propagation in a starburst amacrine cell

Author keywords

Buffer; calcium; CICR based Ca2+ waves; diffusion speed; directional selectivity; endoplasmic reticulum; fire diffuse fire model; lumen; reaction diffusion equations; retina; starburst amacrine cells

Indexed keywords

ADENOSINE TRIPHOSPHATASE (CALCIUM); BUFFER; CALCIUM BINDING PROTEIN; CALCIUM CHANNEL; CALCIUM ION;

EID: 78249278448     PISSN: 02196352     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219635210002445     Document Type: Article
Times cited : (6)

References (32)
  • 1
    • 0038032386 scopus 로고    scopus 로고
    • Intraneuronal information processing, directional selectivity and memory for spatio-temporal sequences
    • Barlow H, Intraneuronal information processing, directional selectivity and memory for spatio-temporal sequences, Network: Comput Neural Syst 7:251-259, 1996.
    • (1996) Network: Comput. Neural. Syst. , vol.7 , pp. 251-259
    • Barlow, H.1
  • 2
    • 0033065079 scopus 로고    scopus 로고
    • Fire-diffuse-fire model of dynamics of intracellular calcium waves
    • Dawson SP, Keizer J, Pearson JE, Fire-diffuse-fire model of dynamics of intracellular calcium waves, Proc Natl Acad Sci USA 96:6060-6063, 1999.
    • (1999) Proc. Natl. Acad. Sci. USA , vol.96 , pp. 6060-6063
    • Dawson, S.P.1    Keizer, J.2    Pearson, J.E.3
  • 4
    • 0037158699 scopus 로고    scopus 로고
    • Directionally selective calcium signals in dendrites of starburst amacrine cells
    • Euler T, Detwiler PB, Denk W, Directionally selective calcium signals in dendrites of starburst amacrine cells, Nature 418:845-852, 2002.
    • (2002) Nature , vol.418 , pp. 845-852
    • Euler, T.1    Detwiler, P.B.2    Denk, W.3
  • 7
    • 34547105816 scopus 로고    scopus 로고
    • A dendrite-autononous mechanism for direction selectivity in retinal starburst amacrine cells
    • Hausselt SE, Euler T, Detwiler PB, Denk W, A dendrite-autononous mechanism for direction selectivity in retinal starburst amacrine cells, PLoS Biol 5: e185, 2007.
    • (2007) PLoS Biol. , vol.5
    • Hausselt, S.E.1    Euler, T.2    Detwiler, P.B.3    Denk, W.4
  • 8
    • 0018977066 scopus 로고
    • On the theory of diffusion in media with double diffusivity II. Boundary-value problems
    • Hill JM, Aifantis EC, On the theory of diffusion in media with double diffusivity II. Boundary-value problems, Q J Mech Appl Math 33:23-41, 1980.
    • (1980) Q J. Mech. Appl. Math. , vol.33 , pp. 23-41
    • Hill, J.M.1    Aifantis, E.C.2
  • 9
    • 0011082634 scopus 로고
    • On the solution of reaction-diffusion equations
    • Hill JM, On the solution of reaction-diffusion equations, IMA J Appl Math 27:177-194, 1981.
    • (1981) IMA J. Appl. Math. , vol.27 , pp. 177-194
    • Hill, J.M.1
  • 10
    • 33745225585 scopus 로고    scopus 로고
    • Analytical solutions for nonlinear cable equations with calcium dynamics, I: Derivations
    • Iannella N, Tanaka S, Analytical solutions for nonlinear cable equations with calcium dynamics, I: Derivations, J Integr Neurosci 5:249-272, 2006.
    • (2006) J. Integr. Neurosci. , vol.5 , pp. 249-272
    • Iannella, N.1    Tanaka, S.2
  • 11
    • 0027933697 scopus 로고
    • Metabotropic glutamate receptor activation induces calcium waves within hippocampal dendrites
    • Jaffe DB, Brown TH, Metabotropic glutamate receptor activation induces calcium waves within hippocampal dendrites, J Neurophysiol 72:471-474, 1994.
    • (1994) J. Neurophysiol. , vol.72 , pp. 471-474
    • Jaffe, D.B.1    Brown, T.H.2
  • 13
    • 0030983333 scopus 로고    scopus 로고
    • Analytical calculation of intracellular calcium wave characteristics
    • Kupferman R, Mitra PP, Hohenberg PC, Wang SS, Analytical calculation of intracellular calcium wave characteristics, Biophys J 72:2430-2444, 1997.
    • (1997) Biophys. J. , vol.72 , pp. 2430-2444
    • Kupferman, R.1    Mitra, P.P.2    Hohenberg, P.C.3    Wang, S.S.4
  • 14
    • 0036227708 scopus 로고    scopus 로고
    • Mechanism of generation of spontaneous miniature outward currents (SMOCs) in retinal amacrine cells
    • Mitra P, Slaughter MM, Mechanism of generation of spontaneous miniature outward currents (SMOCs) in retinal amacrine cells, J Gen Physiol 119:355-372, 2002.
    • (2002) J. Gen. Physiol. , vol.119 , pp. 355-372
    • Mitra, P.1    Slaughter, M.M.2
  • 15
    • 0001947553 scopus 로고
    • Concentration profiles of intracellular calcium in the presence of a diffusible chelator
    • Heinemann U, Klee M, Neher E, Singer W eds., Springer, Berlin
    • Neher E, Concentration profiles of intracellular calcium in the presence of a diffusible chelator, in Heinemann U, Klee M, Neher E, Singer W (eds.), Calcium Electrogenesis and Neuronal Functioning, Springer, Berlin, 1986.
    • (1986) Calcium Electrogenesis and Neuronal Functioning
    • Neher, E.1
  • 16
    • 0032435180 scopus 로고    scopus 로고
    • 2+ signals
    • 2+ signals, Cell Calcium 24:345-357, 1998.
    • (1998) Cell. Calcium , vol.24 , pp. 345-357
    • Neher, E.1
  • 17
    • 0034352133 scopus 로고    scopus 로고
    • Excitable calcium wave propagation in the presence of localized stores
    • Pencea CS, Hentschel H G E, Excitable calcium wave propagation in the presence of localized stores, Phys Rev E 62:8420-8426, 2000.
    • (2000) Phys. Rev. E , vol.62 , pp. 8420-8426
    • Pencea, C.S.1    Hentschel, H.G.E.2
  • 18
    • 0026944142 scopus 로고
    • Modelling the electrotonic structure of starburst amacrine cells in the rabbit retina: A functional interpretation of dendritic morphology
    • Poznanski RR, Modelling the electrotonic structure of starburst amacrine cells in the rabbit retina: A functional interpretation of dendritic morphology, Bull Math Biol 54:905-928, 1992.
    • (1992) Bull. Math. Biol. , vol.54 , pp. 905-928
    • Poznanski, R.R.1
  • 19
    • 33644697782 scopus 로고    scopus 로고
    • Biophysical mechanisms and essential topography of directionally selective subunits in rabbit's retina
    • Poznanski RR, Biophysical mechanisms and essential topography of directionally selective subunits in rabbit's retina, J Integr Neurosci 4:341-361, 2005.
    • (2005) J. Integr. Neurosci. , vol.4 , pp. 341-361
    • Poznanski, R.R.1
  • 20
    • 78249279348 scopus 로고    scopus 로고
    • Cellular inhibitory behavior underlying the formation of retinal direction selectivity in the starburst network
    • Poznanski RR, Cellular inhibitory behavior underlying the formation of retinal direction selectivity in the starburst network, J Integr Neurosci 9:299-335, 2010.
    • (2010) J. Integr. Neurosci. , vol.9 , pp. 299-335
    • Poznanski, R.R.1
  • 21
    • 35948960698 scopus 로고    scopus 로고
    • Local influence of mitochondrial calcium transport in retinal amacrine cells
    • Sen M, McMains E, Gleason E, Local influence of mitochondrial calcium transport in retinal amacrine cells, Vis Neurosci 24:1-16, 2007.
    • (2007) Vis. Neurosci. , vol.24 , pp. 1-16
    • Sen, M.1    McMains, E.2    Gleason, E.3
  • 23
    • 77950939355 scopus 로고    scopus 로고
    • Pull-wave transition on an inhomogenous model for calcium signals
    • Shuai JW, Huang YO, Rudiger S, Pull-wave transition on an inhomogenous model for calcium signals, Phys Rev E 81:041904, 2010.
    • (2010) Phys. Rev. E , vol.81 , pp. 041904
    • Shuai, J.W.1    Huang, Y.O.2    Rudiger, S.3
  • 24
    • 19344374649 scopus 로고    scopus 로고
    • Modeling intracellular calcium waves and sparks
    • Fall C, Marland E, Wagner J, Tyson J eds., Springer, New York
    • Smith G, Pearson J, Keizer J, Modeling intracellular calcium waves and sparks, in Fall C, Marland E, Wagner J, Tyson J (eds.), Computational Cell Biology, Springer, New York, 2002.
    • (2002) Computational Cell. Biology
    • Smith, G.1    Pearson, J.2    Keizer, J.3
  • 26
    • 0345413315 scopus 로고    scopus 로고
    • Saltatory and continuous calcium waves and the rapid buffering approximation
    • Strier DE, Ventura AC, Dawson SP, Saltatory and continuous calcium waves and the rapid buffering approximation, Biophys J 85:3575-3586, 2003.
    • (2003) Biophys. J. , vol.85 , pp. 3575-3586
    • Strier, D.E.1    Ventura, A.C.2    Dawson, S.P.3
  • 27
    • 38149002303 scopus 로고    scopus 로고
    • A bidomain threshold model of propagating calcium waves
    • Thul R, Smith GD, Coombes S, A bidomain threshold model of propagating calcium waves, J Math Biol 56:435-463, 2008.
    • (2008) J. Math. Biol. , vol.56 , pp. 435-463
    • Thul, R.1    Smith, G.D.2    Coombes, S.3
  • 29
    • 0034057217 scopus 로고    scopus 로고
    • Computation of motion direction by quail retinal ganglion cells that have a nonconcentric receptive field
    • Uchiyama H, Kanaya T, Sonohata S, Computation of motion direction by quail retinal ganglion cells that have a nonconcentric receptive field, Vis Neurosci 17:263-271, 2000.
    • (2000) Vis. Neurosci. , vol.17 , pp. 263-271
    • Uchiyama, H.1    Kanaya, T.2    Sonohata, S.3
  • 30
    • 28144454431 scopus 로고    scopus 로고
    • Calcium from internal stores triggers release from retinal amacrine cells
    • Warrier A, Borges S, Dalcino D, Walters C, Wilson M, Calcium from internal stores triggers release from retinal amacrine cells, J Neurophysiol 94:4196-4208, 2005.
    • (2005) J. Neurophysiol. , vol.94 , pp. 4196-4208
    • Warrier, A.1    Borges, S.2    Dalcino, D.3    Walters, C.4    Wilson, M.5
  • 31
    • 0028877003 scopus 로고
    • Local positive feedback by calcium in the propagation of intracellular calcium waves
    • Wang SS-H, Thompson SH, Local positive feedback by calcium in the propagation of intracellular calcium waves, Biophys J 69:1683-1697, 1995.
    • (1995) Biophys. J. , vol.69 , pp. 1683-1697
    • Wang S.S.-.H1    Thompson, S.H.2
  • 32
    • 0016722486 scopus 로고
    • Directionally sensitive ganglion cells in the rabbit retina: Specificity for stimulus direction, size, and speed
    • Wyatt H, Daw N, Directionally sensitive ganglion cells in the rabbit retina: Specificity for stimulus direction, size, and speed, J Neurophysiol 38:613-626, 1975.
    • (1975) J. Neurophysiol. , vol.38 , pp. 613-626
    • Wyatt, H.1    Daw, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.