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Volumn 208, Issue 1, 2005, Pages 253-265

Monte Carlo simulation of diffusion in a spatially nonhomogeneous medium: A biased random walk on an asymmetrical lattice

Author keywords

Diffusion; Monte Carlo; Random walk; Stochastic modelling

Indexed keywords

INTELLIGENT SYSTEMS; MONTE CARLO METHODS; RANDOM PROCESSES; STOCHASTIC MODELS; STOCHASTIC SYSTEMS;

EID: 19044377285     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2005.02.013     Document Type: Article
Times cited : (13)

References (19)
  • 1
    • 0025780592 scopus 로고
    • Monte Carlo simulation of miniature endplate current generation in the vertebrate neuromuscular junction
    • T.M. Bartol Jr. B.R. Land E.E. Salpeter M.M. Salpeter Monte Carlo simulation of miniature endplate current generation in the vertebrate neuromuscular junction Biophys. J. 59 1991 1290-1307
    • (1991) Biophys. J. , vol.59 , pp. 1290-1307
    • Bartol Jr., T.M.1    Land, B.R.2    Salpeter, E.E.3    Salpeter, M.M.4
  • 2
    • 0030032220 scopus 로고    scopus 로고
    • Quantal transmitter release at somatic motor-nerve terminals: Stochastic analysis of the subunit hypothesis
    • M.R. Bennett L. Farnell W.G. Gibson Quantal transmitter release at somatic motor-nerve terminals: Stochastic analysis of the subunit hypothesis Biophys. J. 70 1996 654-668
    • (1996) Biophys. J. , vol.70 , pp. 654-668
    • Bennett, M.R.1    Farnell, L.2    Gibson, W.G.3
  • 3
    • 0030597345 scopus 로고    scopus 로고
    • Quantal transmitter release onto different patterns of receptor distributions at somatic neuromuscular junctions
    • M.R. Bennett L. Farnell W.G. Gibson Quantal transmitter release onto different patterns of receptor distributions at somatic neuromuscular junctions J. Theor. Biol. 183 1996 231-236
    • (1996) J. Theor. Biol. , vol.183 , pp. 231-236
    • Bennett, M.R.1    Farnell, L.2    Gibson, W.G.3
  • 4
    • 0030938884 scopus 로고    scopus 로고
    • Synaptic transmission at visualized sympathetic boutons: Stochastic interaction between acetylcholine and its receptors
    • M.R. Bennett L. Farnell W.G. Gibson N.A. Lavidis Synaptic transmission at visualized sympathetic boutons: Stochastic interaction between acetylcholine and its receptors Biophys. J. 72 1997 1595-1606
    • (1997) Biophys. J. , vol.72 , pp. 1595-1606
    • Bennett, M.R.1    Farnell, L.2    Gibson, W.G.3    Lavidis, N.A.4
  • 5
    • 0034068150 scopus 로고    scopus 로고
    • The probability of quantal secretion near a single calcium channel of an active zone
    • M.R. Bennett L. Farnell W.G. Gibson The probability of quantal secretion near a single calcium channel of an active zone Biophys. J. 78 2002 2201-2221
    • (2002) Biophys. J. , vol.78 , pp. 2201-2221
    • Bennett, M.R.1    Farnell, L.2    Gibson, W.G.3
  • 6
    • 0034023710 scopus 로고    scopus 로고
    • The probability of quantal secretion within an array of calcium channels of an active zone
    • M.R. Bennett L. Farnell W.G. Gibson The probability of quantal secretion within an array of calcium channels of an active zone Biophys. J. 78 2002 2222-2240
    • (2002) Biophys. J. , vol.78 , pp. 2222-2240
    • Bennett, M.R.1    Farnell, L.2    Gibson, W.G.3
  • 8
    • 0027053351 scopus 로고
    • Intrinsic quantal variability due to stochastic properties of receptor-transmitter interactions
    • D.S. Faber W.S. Young P. Legendre H. Korn Intrinsic quantal variability due to stochastic properties of receptor-transmitter interactions Science 258 1992 1494-1498
    • (1992) Science , vol.258 , pp. 1494-1498
    • Faber, D.S.1    Young, W.S.2    Legendre, P.3    Korn, H.4
  • 9
    • 3042772788 scopus 로고    scopus 로고
    • Monte Carlo simulation of diffusion in a spatially nonhomogeneous medium: Correction to the Gaussian steplength
    • L. Farnell W.G. Gibson Monte Carlo simulation of diffusion in a spatially nonhomogeneous medium: Correction to the Gaussian steplength J. Comp. Phys. 198 2004 65-79
    • (2004) J. Comp. Phys. , vol.198 , pp. 65-79
    • Farnell, L.1    Gibson, W.G.2
  • 10
    • 0035383922 scopus 로고    scopus 로고
    • A Monte Carlo analysis of calcium dynamics and facilitation in nerve terminals
    • W.G. Gibson L. Farnell M.R. Bennett A Monte Carlo analysis of calcium dynamics and facilitation in nerve terminals Neurocomputing 38 2001 17-22
    • (2001) Neurocomputing , vol.38 , pp. 17-22
    • Gibson, W.G.1    Farnell, L.2    Bennett, M.R.3
  • 11
    • 0039909563 scopus 로고
    • Random walk and the theory of Brownian motion reprinted
    • reprinted in: N. Wax (Ed.) Selected Papers on Noise and Stochastic Processes Dover New York
    • M. Kac Random walk and the theory of Brownian motion reprinted in: N. Wax (Ed.) Selected Papers on Noise and Stochastic Processes 1954 Dover New York
    • (1954)
    • Kac, M.1
  • 12
    • 0025129236 scopus 로고
    • Monte Carlo simulation of extracellular diffusion in brain tissues
    • H. Lipinski Monte Carlo simulation of extracellular diffusion in brain tissues Phys. Med. Biol. 35 1990 441-447
    • (1990) Phys. Med. Biol. , vol.35 , pp. 441-447
    • Lipinski, H.1
  • 14
    • 0036708446 scopus 로고    scopus 로고
    • New and corrected simulations of synaptic facilitation
    • V. Matveev A. Sherman R.S. Zucker New and corrected simulations of synaptic facilitation Biophys. J. 83 2002 1368-1373
    • (2002) Biophys. J. , vol.83 , pp. 1368-1373
    • Matveev, V.1    Sherman, A.2    Zucker, R.S.3
  • 15
    • 0031968609 scopus 로고    scopus 로고
    • Monte Carlo analysis of obstructed diffusion in three dimensions: Application to molecular diffusion in organelles
    • B.P. Ölveczky A.S. Verkman Monte Carlo analysis of obstructed diffusion in three dimensions: Application to molecular diffusion in organelles Biophys. J. 74 1998 2722-2730
    • (1998) Biophys. J. , vol.74 , pp. 2722-2730
    • Ölveczky, B.P.1    Verkman, A.S.2
  • 16
    • 0033833331 scopus 로고    scopus 로고
    • Mean residence time of molecules diffusing in a cell bounded by a semi-permeable membrane: Monte Carlo simulations and an expression relating membrane transition probability to permeability
    • D.G. Regan P.W. Kuchel Mean residence time of molecules diffusing in a cell bounded by a semi-permeable membrane: Monte Carlo simulations and an expression relating membrane transition probability to permeability Eur. Biophys. J. 29 2000 221-227
    • (2000) Eur. Biophys. J. , vol.29 , pp. 221-227
    • Regan, D.G.1    Kuchel, P.W.2
  • 17
    • 0001827008 scopus 로고    scopus 로고
    • Synaptic variability. New insights from reconstruction and Monte Carlo simulations with MCell
    • W.M. Cowan T.C. Südhof C.F. Stevens (Eds.) Johns Hopkins University Press Baltimore
    • J.R. Stiles T.M. Bartol M.M. Salpeter E.E. Salpeter T.J. Sejnowski Synaptic variability. New insights from reconstruction and Monte Carlo simulations with MCell in: W.M. Cowan T.C. Südhof C.F. Stevens (Eds.) Synapses 2001 Johns Hopkins University Press Baltimore
    • (2001) Synapses
    • Stiles, J.R.1    Bartol, T.M.2    Salpeter, M.M.3    Salpeter, E.E.4    Sejnowski, T.J.5
  • 18
    • 0034114310 scopus 로고    scopus 로고
    • Effective diffusivities of point-like molecules in isotropic porous media by Monte Carlo simulation
    • S. Trinh P. Arce B.R. Locke Effective diffusivities of point-like molecules in isotropic porous media by Monte Carlo simulation Transp. Porous Media 38 2000 241-259
    • (2000) Transp. Porous Media , vol.38 , pp. 241-259
    • Trinh, S.1    Arce, P.2    Locke, B.R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.