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Volumn 9, Issue 2, 2011, Pages 793-816

The narrow escape problem in a flat cylindrical microdomain with application to diffusion in the synaptic cleft

Author keywords

Conditional probability; Cylindrical microdomain; Diffusion; Mean first passage time; Narrow escape; Synaptic transmission

Indexed keywords

CHEMICAL ACTIVATION; CYLINDERS (SHAPES); DIFFUSION;

EID: 80052197574     PISSN: 15403459     EISSN: 15403467     Source Type: Journal    
DOI: 10.1137/100807612     Document Type: Article
Times cited : (8)

References (38)
  • 1
    • 0035887734 scopus 로고    scopus 로고
    • An evaluation of synapse independence
    • B. BARBOUR, An evaluation of synapse independence, J. Neurosci., 21 (2001), pp. 7969-7984. (Pubitemid 32952754)
    • (2001) Journal of Neuroscience , vol.21 , Issue.20 , pp. 7969-7984
    • Barbour, B.1
  • 2
    • 0017664223 scopus 로고
    • Physics of chemoreception
    • H. C. BERG AND M. PURCELL, Physics of chemoreception, Biophys. J., 20 (1977), pp. 193-219. (Pubitemid 8220672)
    • (1977) Biophysical Journal , vol.20 , Issue.2 , pp. 193-219
    • Berg, H.C.1    Purcell, E.M.2
  • 3
    • 43449117577 scopus 로고    scopus 로고
    • Balancing structure and function at hippocampal dendritic spines
    • J. N. BOURNE AND K. M. HARRIS, Balancing structure and function at hippocampal dendritic spines, Annu. Rev. Neurosci., 31 (2008), pp. 47-67.
    • (2008) Annu. Rev. Neurosci. , vol.31 , pp. 47-67
    • Bourne, J.N.1    Harris, K.M.2
  • 5
    • 77951899892 scopus 로고    scopus 로고
    • An asymptotic analysis of the mean first passage time for narrow escape problems: Part II: The sphere
    • A. F. CHEVIAKOV, M. J. WARD, AND R. STRAUBE, An asymptotic analysis of the mean first passage time for narrow escape problems: Part II: The sphere, Multiscale Model. Simul., 8 (2010), pp. 836-870.
    • (2010) Multiscale Model. Simul. , vol.8 , pp. 836-870
    • Cheviakov, A.F.1    Ward, M.J.2    Straube, R.3
  • 6
    • 35948955551 scopus 로고    scopus 로고
    • First-passage times in complex scale-invariant media
    • DOI 10.1038/nature06201, PII NATURE06201
    • S. CONDAMIN, O. BÉNICHOU, V. TEJEDO, R. VOITURIEZ, AND J. KLAFTER, First-passage times in complex scale-invariant media, Nature, 450 (2007), pp. 77-80. (Pubitemid 350070561)
    • (2007) Nature , vol.450 , Issue.7166 , pp. 77-80
    • Condamin, S.1    Benichou, O.2    Tejedor, V.3    Voituriez, R.4    Klafter, J.5
  • 7
    • 34547115016 scopus 로고    scopus 로고
    • Synaptic trafficking of glutamate receptors by MAGUK scaffolding proteins
    • DOI 10.1016/j.tcb.2007.07.005, PII S0962892407001389
    • G. M. ELIAS AND R. A. NICOLL, Synaptic trafficking of glutamate receptors by maguk scaffolding proteins, Trends Cell Biol., 17 (2007), pp. 343-352. (Pubitemid 47102201)
    • (2007) Trends in Cell Biology , vol.17 , Issue.7 , pp. 343-352
    • Elias, G.M.1    Nicoll, R.A.2
  • 10
    • 34247234493 scopus 로고    scopus 로고
    • Modeling viral and dna trafficking in the cytoplasm of a cell
    • D HOLCMAN, Modeling viral and dna trafficking in the cytoplasm of a cell, J. Stat. Phys., 127 (2007), pp. 471-494.
    • (2007) J. Stat. Phys. , vol.127 , pp. 471-494
    • Holcman, D.1
  • 11
    • 80052214814 scopus 로고    scopus 로고
    • Computational challenges in synaptic transmission
    • Imaging Microstructures: Mathematical and Computational Challenges, H. Ammari and H. Kang, American Mathematical Society, Providence, RI
    • D HOLCMAN, Computational challenges in synaptic transmission, in Imaging Microstructures: Mathematical and Computational Challenges, Contemp. Math. 494, H. Ammari and H. Kang, American Mathematical Society, Providence, RI, 2009, pp. 1-26.
    • (2009) Contemp. Math. , vol.494 , pp. 1-26
    • Holcman, D.1
  • 12
    • 1942423124 scopus 로고    scopus 로고
    • Longitudinal Diffusion in Retinal Rod and Cone Outer Segment Cytoplasm: The Consequence of Cell Structure
    • D. HOLCMAN AND J. I. KORENBROT, Longitudinal diffusion in retinal rod and cone outer segment cytoplasm: The consequence of the cell structure, Biophys. J., 86 (2004), pp. 2566-2582. (Pubitemid 38524443)
    • (2004) Biophysical Journal , vol.86 , Issue.4 , pp. 2566-2582
    • Holcman, D.1    Korenbrot, J.I.2
  • 13
    • 10344243553 scopus 로고    scopus 로고
    • Escape through a small opening: Receptor trafficking in a synaptic membrane
    • DOI 10.1007/s10955-004-5712-8
    • D. HOLCMAN AND Z. SCHUSS, Escape through a small opening: Receptor trafficking in a synaptic membrane, J. Stat. Phys., 117 (2004), pp. 975-1014. (Pubitemid 39631182)
    • (2004) Journal of Statistical Physics , vol.117 , Issue.5-6 , pp. 975-1014
    • Holcman, D.1    Schuss, Z.2
  • 14
    • 42749097812 scopus 로고    scopus 로고
    • Diffusion through a cluster of small windows and flux regulation in microdomains
    • D. HOLCMAN AND Z. SCHUSS, Diffusion through a cluster of small windows and flux regulation in microdomains, Phys. Lett. A, 372 (2008), pp. 3768-3772.
    • (2008) Phys. Lett. A , vol.372 , pp. 3768-3772
    • Holcman, D.1    Schuss, Z.2
  • 17
    • 68049139402 scopus 로고    scopus 로고
    • Physical principles and models describing intracellular virus particle dynamics
    • T. LAGACHE, E. DAUTY, AND D. HOLCMAN, Physical principles and models describing intracellular virus particle dynamics, Curr. Opin. Microbiol., 12 (2009), pp. 439-445.
    • (2009) Curr. Opin. Microbiol. , vol.12 , pp. 439-445
    • Lagache, T.1    Dauty, E.2    Holcman, D.3
  • 18
    • 41549107660 scopus 로고    scopus 로고
    • Quantifying intermittent transport in cell cytoplasm
    • T. LAGACHE AND D. HOLCMAN, Quantifying intermittent transport in cell cytoplasm, Phys. Rev., 77 (2008), 030901.
    • (2008) Phys. Rev. , vol.77 , pp. 030901
    • Lagache, T.1    Holcman, D.2
  • 19
    • 43449102784 scopus 로고    scopus 로고
    • Glutamate Receptor Dynamics in Dendritic Microdomains
    • DOI 10.1016/j.neuron.2008.04.030, PII S089662730800408X
    • T. M. NEWPHER AND M. D. EHLERS, Glutamate receptor dynamics in dendritic microdomains, Neuron, 58 (2008), pp. 472-497. (Pubitemid 351672359)
    • (2008) Neuron , vol.58 , Issue.4 , pp. 472-497
    • Newpher, T.M.1    Ehlers, M.D.2
  • 20
    • 77951907993 scopus 로고    scopus 로고
    • An asymptotic analysis of the mean first passage time for narrow escape problems: Part I: Two-dimensional domains
    • S. PILLAY, M. J.WARD, A.PEIRCE, AND T. KOLOKOLNIKOV, An asymptotic analysis of the mean first passage time for narrow escape problems: Part I: Two-dimensional domains, Multiscale Model. Simul., 8 (2010), pp. 803-835.
    • (2010) Multiscale Model. Simul. , vol.8 , pp. 803-835
    • Pillay, S.1    Ward, M.J.2    Peirce, A.3    Kolokolnikov, T.4
  • 21
    • 4644325469 scopus 로고    scopus 로고
    • Properties of quantal transmission at CA1 synapses
    • DOI 10.1152/jn.00258.2004
    • S. RAGHAVACHARI AND J. E. LISMAN, Properties of quantal transmission at ca1 synapses, J. Neurophysiol., 92 (2004), pp. 2456-2467. (Pubitemid 39298696)
    • (2004) Journal of Neurophysiology , vol.92 , Issue.4 , pp. 2456-2467
    • Raghavachari, S.1    Lisman, J.E.2
  • 22
    • 54949101225 scopus 로고    scopus 로고
    • Estimating the rate of cgmp hydrolysis by phosphodiesterase in photoreceptors
    • J. REINGRUBER AND D HOLCMAN, Estimating the rate of cgmp hydrolysis by phosphodiesterase in photoreceptors, J. Chem. Phys., 129 (2008), 145192.
    • (2008) J. Chem. Phys. , vol.129 , pp. 145192
    • Reingruber, J.1    Holcman, D.2
  • 23
    • 64549148902 scopus 로고    scopus 로고
    • Diffusion in narrow domains and application to phototransduction
    • J. REINGRUBER AND D HOLCMAN, Diffusion in narrow domains and application to phototransduction, Phys. Rev., 79 (2009), 030904.
    • (2009) Phys. Rev. , vol.79 , pp. 030904
    • Reingruber, J.1    Holcman, D.2
  • 24
    • 0032368252 scopus 로고    scopus 로고
    • Single photon detection by rod cells of the retina
    • F. RIEKE AND D. BAYLOR, Single photon detection by rod cells of the retina, Rev. Modern Phys., 70 (1998), pp. 1027-1036.
    • (1998) Rev. Modern Phys. , vol.70 , pp. 1027-1036
    • Rieke, F.1    Baylor, D.2
  • 27
    • 33746814016 scopus 로고    scopus 로고
    • Activation through a narrow opening
    • A. SINGER AND Z. SCHUSS, Activation through a narrow opening, Phys. Rev., 74 (2006), 020103.
    • (2006) Phys. Rev. , vol.74 , pp. 020103
    • Singer, A.1    Schuss, Z.2
  • 29
    • 57049089336 scopus 로고    scopus 로고
    • Narrow escape and leakage of Brownian particles
    • A. SINGER, Z. SCHUSS, AND D. HOLCMAN, Narrow escape and leakage of Brownian particles, Phys. Rev., 78 (2008), 051111.
    • (2008) Phys. Rev. , vol.78 , pp. 051111
    • Singer, A.1    Schuss, Z.2    Holcman, D.3
  • 34
    • 34547369831 scopus 로고    scopus 로고
    • Dwell time of a Brownian molecule in a microdomain with traps and a small hole on the boundary
    • A. TAFLIA AND D. HOLCMAN, Dwell time of a Brownian molecule in a microdomain with traps and a small hole on the boundary, J. Chem. Phys., 126 (2007), pp. 234107.
    • (2007) J. Chem. Phys. , vol.126 , pp. 234107
    • Taflia, A.1    Holcman, D.2
  • 35
    • 0027608991 scopus 로고
    • Strong localized perturbations of eigenvalue problems
    • M. J. WARD AND J. B. KELLER, Strong localized perturbations of eigenvalue problems, SIAM J. Appl. Math., 53 (1993), pp. 770-798.
    • (1993) SIAM J. Appl. Math. , vol.53 , pp. 770-798
    • Ward, M.J.1    Keller, J.B.2
  • 36
    • 0026624618 scopus 로고
    • The onset of thermal runaway in partially insulated or cooled reactors
    • M. J.WARD AND E. VAN DE VELDE, The onset of thermal runaway in partially insulated or cooled reactors, IMA J. Appl. Math., 48 (1992), pp. 53-83.
    • (1992) IMA J. Appl. Math. , vol.48 , pp. 53-83
    • Ward, M.J.1    Van De Velde, E.2
  • 37
    • 36849110418 scopus 로고
    • General theory of diffusion-controlled reactions
    • G.WILEMSKI AND M. FIXMAN, General theory of diffusion-controlled reactions, J. Chem. Phys., 58 (1973), 4009.
    • (1973) J. Chem. Phys. , vol.58 , pp. 4009
    • Wilemski, G.1    Fixman, M.2
  • 38
    • 0025299421 scopus 로고
    • Diffusion-controlled ligand binding to spheres partially covered by receptors: An effective medium treatment
    • R. ZWANZIG, Diffusion-controlled ligand binding to spheres partially covered by receptors: An effective medium treatment, Proc. Natl. Acad. Sci. USA, 87 (1990), pp. 5856-5857.
    • (1990) Proc. Natl. Acad. Sci. USA , vol.87 , pp. 5856-5857
    • Zwanzig, R.1


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