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Volumn 71, Issue 4, 2011, Pages 1531-1556

A stochastic compartmental model for fast axonal transport

Author keywords

Axonal transport; Compartmental model; Homogeneity; Molecular motor; Stochastic process

Indexed keywords

AXONAL TRANSPORT; COMPARTMENTAL MODEL; HOMOGENEITY; MOLECULAR MOTORS; STOCHASTIC PROCESS;

EID: 80052742184     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/090775385     Document Type: Article
Times cited : (20)

References (45)
  • 2
    • 0021952113 scopus 로고
    • Gliding movement of and bidirectional transport along single native microtubules from squid axoplasm: Evidence for an active role of microtubules in cytoplasmic transport
    • DOI 10.1083/jcb.100.5.1736
    • R. D. ALLEN, D. G. WEISS, J. H. HAYDEN, D. T. BROWN, H. FIJIWAKI, and M. SIMPSON, Gliding movement and bidirectional transport along single native microtubules from squid axoplasm: Evidence for an active role for microtubules in cytoplasmic transport, J. Cell Biol., 100(1985), pp. 1736-1752. (Pubitemid 15099296)
    • (1985) Journal of Cell Biology , vol.100 , Issue.5 , pp. 1736-1752
    • Allen, R.D.1    Weiss, D.G.2    Hayden, J.H.3
  • 3
    • 0022378380 scopus 로고
    • A model for fast axonal transport
    • J. J. BLUM and M. C. REED, A model for fast axonal transport, Cell Motility, 5(1985), pp. 507-527. (Pubitemid 16172784)
    • (1985) Cell Motility , vol.5 , Issue.6 , pp. 507-527
    • Blum, J.J.1    Reed, M.C.2
  • 4
    • 33749023589 scopus 로고    scopus 로고
    • Stochastic model of protein receptor trafficking prior to synaptogenesis
    • P. C. BRESSLOFF, Stochastic model of protein receptor trafficking prior to synaptogenesis, Phys. Rev. E, 74(2006), 031910.
    • (2006) Phys. Rev. E , vol.74 , pp. 031910
    • Bressloff, P.C.1
  • 5
    • 0033249374 scopus 로고    scopus 로고
    • Probabilistic methods for a linear reaction-hyperbolic system with constant coefficients
    • E. A. BROOKS, Probabilistic methods for a linear reaction-hyperbolic system with constant coefficients, Ann. Appl. Probab., 9(1999), pp. 719-731.
    • (1999) Ann. Appl. Probab. , vol.9 , pp. 719-731
    • Brooks, E.A.1
  • 6
    • 0034328871 scopus 로고    scopus 로고
    • Slow axonal transport: Stop and go traffic in the axon
    • A. BROWN, Slow axonal transport: Stop and go traffic in the axon, Nat. Rev. Cell Mol. Biol., 1(2000), pp. 153-156.
    • (2000) Nat. Rev. Cell Mol. Biol. , vol.1 , pp. 153-156
    • Brown, A.1
  • 7
    • 19644377414 scopus 로고    scopus 로고
    • Mechanics of the kinesin step
    • DOI 10.1038/nature03528
    • N. J. CARTER and R. A. CROSS, Mechanics of the kinesin step, Nature, 435(2005), pp. 308-312. (Pubitemid 40745535)
    • (2005) Nature , vol.435 , Issue.7040 , pp. 308-312
    • Carter, N.J.1    Cross, R.A.2
  • 8
    • 55549088583 scopus 로고    scopus 로고
    • Regular gaits and optimal velocities for motor proteins
    • R. L. DEVILLE and E. VANDEN-EIJNDEN, Regular gaits and optimal velocities for motor proteins, Biophys. J., 95(2008), pp. 2681-2691.
    • (2008) Biophys. J. , vol.95 , pp. 2681-2691
    • Deville, R.L.1    Vanden-Eijnden, E.2
  • 9
    • 39749165656 scopus 로고    scopus 로고
    • Differential regulation of dynein and kinesin motor proteins by tau
    • DOI 10.1126/science.1152993
    • R. DIXIT, J. L. ROSS, Y. E. GOLDMAN, and E. L. F. HOLZBAUR, Differential regulation of dynein and kinesin motor proteins by tau, Science, 319(2008), pp. 1086-1089. (Pubitemid 351300789)
    • (2008) Science , vol.319 , Issue.5866 , pp. 1086-1089
    • Dixit, R.1    Ross, J.L.2    Goldman, Y.E.3    Holzbaur, E.L.F.4
  • 11
    • 0028261701 scopus 로고
    • Single myosin molecule mechanics: Piconewton forces and nanometre steps
    • DOI 10.1038/368113a0
    • J. T. FINER, R. M. SIMMONS, and J. A. SPUDICH, Single myosin molecule mechanics: Pico-Newton forces and nanometre steps, Nature, 368(1994), pp. 113-119. (Pubitemid 24101520)
    • (1994) Nature , vol.368 , Issue.6467 , pp. 113-119
    • Finer, J.T.1    Simmons, R.M.2    Spudich, J.A.3
  • 13
    • 22844439969 scopus 로고    scopus 로고
    • A model of intracellular transport of particles in an axon
    • DOI 10.1007/s00285-004-0285-3
    • A. FRIEDMAN and G. CRACIUN, A model of intracellular transport of particles in an axon, J. Math. Biol., 51(2005), pp. 217-246. (Pubitemid 41040212)
    • (2005) Journal of Mathematical Biology , vol.51 , Issue.2 , pp. 217-246
    • Friedman, A.1    Craciun, G.2
  • 14
    • 34249061806 scopus 로고    scopus 로고
    • Approximate traveling waves in linear reaction-hyperbolic equations
    • DOI 10.1137/050637947
    • A. FRIEDMAN and G. CRACIUN, Approximate traveling waves in linear reaction-hyperbolic equations, SIAM J. Math. Anal., 38(2006), pp. 741-758. (Pubitemid 46796971)
    • (2006) SIAM Journal on Mathematical Analysis , vol.38 , Issue.3 , pp. 741-758
    • Friedman, A.1    Craciun, G.2
  • 15
    • 34848822564 scopus 로고    scopus 로고
    • Uniform convergence for approximate traveling waves in reactionhyperbolic systems
    • A. FRIEDMAN and B. HU, Uniform convergence for approximate traveling waves in reactionhyperbolic systems, Indiana Univ. Math. J., 56(2007), pp. 2133-2158.
    • (2007) Indiana Univ. Math. J. , vol.56 , pp. 2133-2158
    • Friedman, A.1    Hu, B.2
  • 16
    • 34848823418 scopus 로고    scopus 로고
    • Uniform convergence for approximate traveling waves in reactiondiffusion-hyperbolic systems
    • A. FRIEDMAN and B. HU, Uniform convergence for approximate traveling waves in reactiondiffusion-hyperbolic systems, Arch. Ration. Mech. Anal., 186(2007), pp. 251-274.
    • (2007) Arch. Ration. Mech. Anal. , vol.186 , pp. 251-274
    • Friedman, A.1    Hu, B.2
  • 17
    • 36249009069 scopus 로고    scopus 로고
    • Force-induced bidirectional stepping of cytoplasmic dynein
    • DOI 10.1016/j.cell.2007.10.016, PII S0092867407012871
    • A. GENNERICH, A. P. CARTER, S. L. RECK-PETERSON, and R. D. VALE, Force-induced bidirectional stepping of cytoplasmic dynein, Cell, 131(2007), pp. 952-965. (Pubitemid 350138087)
    • (2007) Cell , vol.131 , Issue.5 , pp. 952-965
    • Gennerich, A.1    Carter, A.P.2    Reck-Peterson, S.L.3    Vale, R.D.4
  • 18
    • 0009182061 scopus 로고
    • Random evolutions, Markov chains, and systems of partial differential equations
    • R. J. GRIEGO and R. HERSH, Random evolutions, Markov chains, and systems of partial differential equations, Proc. Natl. Acad. Sci. USA, 62(1969), pp. 305-308.
    • (1969) Proc. Natl. Acad. Sci. USA , vol.62 , pp. 305-308
    • Griego, R.J.1    Hersh, R.2
  • 19
    • 80052772228 scopus 로고
    • Theoretical considerations on rapid transport in low viscosity axonal regions
    • D. G. Weiss, ed., Springer-Verlag, Berlin
    • G. W. GROSS and D. G. WEISS, Theoretical considerations on rapid transport in low viscosity axonal regions, in Axoplasmic Transport, D. G. Weiss, ed., Springer-Verlag, Berlin, 1982, pp. 330-341.
    • (1982) Axoplasmic Transport , pp. 330-341
    • Gross, G.W.1    Weiss, D.G.2
  • 20
    • 80052762275 scopus 로고    scopus 로고
    • Electron microscopic Atlas of cells, tissues and organs on the internet
    • H. JASTROW, Electron Microscopic Atlas of Cells, Tissues and Organs on the Internet, Schwann cells section, http://www.uni-mainz.de/FB/Medizin/ Anatomie/workshop/EM/EMSchwannE.html.
    • Schwann Cells Section
    • Jastrow, H.1
  • 22
    • 0001761643 scopus 로고
    • On stochastic processes defined by differential equations with a small parameter
    • R. Z. KHAS'MINSKII, On stochastic processes defined by differential equations with a small parameter, Theory Probab. Appl., 11(1966), pp. 211-228.
    • (1966) Theory Probab. Appl. , vol.11 , pp. 211-228
    • Khas'Minskii, R.Z.1
  • 23
    • 0001761644 scopus 로고
    • A limit theorem for the solutions of differential equations with random right-hand sides
    • R. Z. KHAS'MINSKII, A limit theorem for the solutions of differential equations with random right-hand sides, Theory Probab. Appl., 11(1966), pp. 390-406.
    • (1966) Theory Probab. Appl. , vol.11 , pp. 390-406
    • Khas'Minskii, R.Z.1
  • 24
    • 0003842084 scopus 로고
    • Wiley Series in Probability and Mathematical Statistics, John Wiley & Sons, Chichester, UK
    • F. R. KELLY, Reversibility and Stochastic Networks, Wiley Series in Probability and Mathematical Statistics, John Wiley & Sons, Chichester, UK, 1979.
    • (1979) Reversibility and Stochastic Networks
    • Kelly, F.R.1
  • 26
    • 0000077040 scopus 로고
    • The structural hypothesis of axonal transport: Two classes of moving elements
    • G. Weiss, ed., Springer-Verlag, Berlin
    • R. J. LASEK and S. T. BRADY, The structural hypothesis of axonal transport: Two classes of moving elements, in Axoplasmic Transport, G. Weiss, ed., Springer-Verlag, Berlin, 1982, pp. 397-405.
    • (1982) Axoplasmic Transport , pp. 397-405
    • Lasek, R.J.1    Brady, S.T.2
  • 28
    • 0022398557 scopus 로고
    • Cross-bridges mediate anterograde and retrograde vesicle transport along microtubules in squid axoplasm
    • DOI 10.1083/jcb.101.6.2181
    • R. MILLER and R. J. LASEK, Crossbridges mediate anterograde and retrograde vesicle transport along microtubules in squid axoplasm, J. Cell Biol., 101(1985), pp. 2181-2193. (Pubitemid 16169948)
    • (1985) Journal of Cell Biology , vol.101 , Issue.6 , pp. 2181-2193
    • Miller, R.H.1    Lasek, R.J.2
  • 30
    • 63049131305 scopus 로고    scopus 로고
    • Directed intermittent search for hidden targets
    • J. M. NEWBY and P. C. BRESSLOFF, Directed intermittent search for hidden targets, New J. Phys., 11(2009), 023033.
    • (2009) New J. Phys. , vol.11 , pp. 023033
    • Newby, J.M.1    Bressloff, P.C.2
  • 31
    • 77957375678 scopus 로고    scopus 로고
    • Quasi-steady state reduction of molecular motor-based models of directed intermittent search
    • J. M. NEWBY and P. C. BRESSLOFF, Quasi-steady state reduction of molecular motor-based models of directed intermittent search, Bull. Math. Biol., 72(2010), pp. 1840-1866.
    • (2010) Bull. Math. Biol. , vol.72 , pp. 1840-1866
    • Newby, J.M.1    Bressloff, P.C.2
  • 32
    • 0015463069 scopus 로고
    • Rate of fast axoplasmic transport in mammalian nerve fibers
    • S. OCHS, Rate of fast axoplasmic transport in mammalian nerve fibers, J. Physiol., 227(1972), pp. 627-645.
    • (1972) J. Physiol. , vol.227 , pp. 627-645
    • Ochs, S.1
  • 33
    • 0022913160 scopus 로고
    • Theoretical analysis of radioactivity profiles during fast axonal transport: Effects of deposition and turnover
    • M. C. REED and J. J. BLUM, Theoretical analysis of radioactivity profiles during fast axonal transport: Effects of deposition and turnover, Cell Motility and the Cytoskeleton, 6(1986), pp. 620-627. (Pubitemid 17222601)
    • (1986) Cell Motility and the Cytoskeleton , vol.6 , Issue.6 , pp. 620-627
    • Reed, M.C.1    Blum, J.J.2
  • 34
    • 80055098240 scopus 로고
    • Mathematical questions in axonal transport, in cell biology: 1992 symposium on some mathematical questions in biology
    • AMS, Providence
    • M. C. REED and J. BLUM, Mathematical questions in axonal transport, in Cell Biology: 1992 Symposium on Some Mathematical Questions in Biology, Lectures in Mathematics in the Life Sciences 24, AMS, Providence, 1994, p. 1.
    • (1994) Lectures in Mathematics in the Life Sciences , vol.24 , pp. 1
    • Reed, M.C.1    Blum, J.2
  • 36
    • 33746132537 scopus 로고    scopus 로고
    • An elastically tethered viscous load imposes a regular gait on the motion of myosin-V. Simulation of the effect of transient force relaxation on a stochastic process
    • DOI 10.1098/rsif.2005.0098
    • M. J. SCHILSTRA and S. R. MARTIN, An elastically tethered viscous load imposes a regular gait on the motion of myosin-V. Simulation of the effect of transient force relaxation on a stochastic process, J. R. Soc. Interface, 3(2006), pp. 153-165. (Pubitemid 46682214)
    • (2006) Journal of the Royal Society Interface , vol.3 , Issue.6 , pp. 153-165
    • Schilstra, M.J.1    Martin, S.R.2
  • 37
  • 38
    • 80052756380 scopus 로고
    • A chromatographic model of axoplasmic transport
    • G. Weiss, ed., Springer-Verlag, Berlin
    • G. H. STEWART, B. HORWITZ, and G. W. GROSS, A chromatographic model of axoplasmic transport, in Axoplasmic Transport, G. Weiss, ed., Springer-Verlag, Berlin, 1982, pp. 414-422.
    • (1982) Axoplasmic Transport , pp. 414-422
    • Stewart, G.H.1    Horwitz, B.2    Gross, G.W.3
  • 39
    • 0027453868 scopus 로고
    • Direct observation of kinesin stepping by optical trapping interferometry
    • K. SVOBODA, C. SCHMIDT, and B. SCHNAPP, Direct observation of kinesin stepping by optical trapping interferometry, Nature, 365(1985), pp. 721-727.
    • (1985) Nature , vol.365 , pp. 721-727
    • Svoboda, K.1    Schmidt, C.2    Schnapp, B.3
  • 40
    • 0021275551 scopus 로고
    • Simulation of axoplasmic transport
    • T. TAKENAKA and H. GOTOH, Simulation of axoplasmic transport, J. Theoret. Biol., 107(1984), pp. 579-601. (Pubitemid 14106959)
    • (1984) Journal of Theoretical Biology , vol.107 , Issue.4 , pp. 579-601
    • Takenaka, T.1    Gotoh, H.2
  • 41
    • 65149104812 scopus 로고    scopus 로고
    • Ribosomes in axons-scrounging from the neighbors
    • J. L. TWISS and M. FAINZILBER, Ribosomes in axons-scrounging from the neighbors, Trends in Cell Biology, 19(2009), pp. 236-243.
    • (2009) Trends in Cell Biology , vol.19 , pp. 236-243
    • Twiss, J.L.1    Fainzilber, M.2
  • 42
    • 0022385727 scopus 로고
    • Identification of a novel force-generating protein, kinesin, involved in microtubule-based motility
    • R. D. VALE, T. S. REESE, and M. P. SHEETZ, Identification of a novel force-generating protein, kinesin, involved in microtubule-based motility, Cell, 42(1985), pp. 39-50. (Pubitemid 16237554)
    • (1985) Cell , vol.42 , Issue.1 , pp. 39-50
    • Vale, R.D.1    Reese, T.S.2    Sheetz, M.P.3
  • 43
    • 0033536183 scopus 로고    scopus 로고
    • Single kinesin molecules studied with a molecular force clamp
    • DOI 10.1038/22146
    • K. VISSCHER, M. J. SCHNITZER, and S. M. BLOCK, Single kinesin molecules studied with a molecular force clamp, Nature, 400(1999), pp. 184-189. (Pubitemid 29327550)
    • (1999) Nature , vol.400 , Issue.6740 , pp. 184-189
    • Visscher, K.1    Schnltzer, M.J.2    Block, S.M.3
  • 44
    • 57849091145 scopus 로고    scopus 로고
    • Molecular motors: A traffic cop within?
    • M. A. WELTE and S. P. GROSS, Molecular motors: A traffic cop within?, HFSP J., 2(2008), pp. 178-182.
    • (2008) HFSP J. , vol.2 , pp. 178-182
    • Welte, M.A.1    Gross, S.P.2


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