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Volumn 85, Issue 4, 2012, Pages

Reaction-diffusion master equation in the microscopic limit

Author keywords

[No Author keywords available]

Indexed keywords

BIOCHEMICAL REACTION NETWORK; COARSE TO FINE; LATTICE SPACING; MASTER EQUATIONS; MESH SIZE; MICRO-SCALES; REACTION DIFFUSION; REACTION-DIFFUSION KINETICS; STOCHASTIC MODELING; THREE DIMENSIONS; VOXEL SIZE;

EID: 84859526042     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.042901     Document Type: Article
Times cited : (63)

References (27)
  • 1
    • 0037119587 scopus 로고    scopus 로고
    • Stochastic gene expression in a single cell
    • DOI 10.1126/science.1070919
    • M. B. Elowitz, A. J. Levine, E. D. Siggia, and P. S. Swain, Science SCIEAS 0036-8075 10.1126/science.1070919 297, 1183 (2002). (Pubitemid 36193353)
    • (2002) Science , vol.297 , Issue.5584 , pp. 1183-1186
    • Elowitz, M.B.1    Levine, A.J.2    Siggia, E.D.3    Swain, P.S.4
  • 2
    • 33745591124 scopus 로고    scopus 로고
    • Noise-induced min phenotypes in E. coli
    • DOI 10.1371/journal.pcbi.0020080
    • D. Fange and J. Elf, PLoS Comput. Biol. 1553-734X 10.1371/journal.pcbi. 0020080 2, e80 (2006). (Pubitemid 43990679)
    • (2006) PLoS Computational Biology , vol.2 , Issue.6 , pp. 0637-0648
    • Fange, D.1    Elf, J.2
  • 6
    • 0017030517 scopus 로고
    • A general method for numerically simulating the stochastic time evolution of coupled chemical reactions
    • DOI 10.1016/0021-9991(76)90041-3
    • D. T. Gillespie, J. Comput. Phys. JCTPAH 0021-9991 10.1016/0021-9991(76) 90041-3 22, 403 (1976). (Pubitemid 8008311)
    • (1976) Journal of Computational Physics , vol.22 , Issue.4 , pp. 403-434
    • Gillepsie, D.T.1
  • 8
    • 70450285537 scopus 로고    scopus 로고
    • 1478-3967 10.1088/1478-3975/6/4/046015
    • S. S. Andrews, Phys. Biol. 1478-3967 10.1088/1478-3975/6/4/046015 6, 046015 (2009).
    • (2009) Phys. Biol. , vol.6 , pp. 046015
    • Andrews, S.S.1
  • 10
    • 33748520215 scopus 로고    scopus 로고
    • Stochastic simulation of chemical reactions with spatial resolution and single molecule detail
    • DOI 10.1088/1478-3967/1/3/001, PII S1478396704832492, 001
    • S. S. Andrews and D. Bray, Phys. Biol. 1478-3967 10.1088/1478-3967/1/3/ 001 1, 137 (2004). (Pubitemid 44362291)
    • (2004) Physical Biology , vol.1 , Issue.3 , pp. 137-151
    • Andrews, S.S.1    Bray, D.2
  • 11
    • 84859548887 scopus 로고    scopus 로고
    • Technical Report No. 2010-003, Department of Information Technology, Uppsala University
    • B. Drawert, S. Engblom, and A. Hellander, Technical Report No. 2010-003, Department of Information Technology, Uppsala University, 2010 (unpublished).
    • (2010)
    • Drawert, B.1    Engblom, S.2    Hellander, A.3
  • 12
    • 20844432892 scopus 로고    scopus 로고
    • Stochastic reaction-diffusion simulation with MesoRD
    • DOI 10.1093/bioinformatics/bti431
    • J. Hattne, D. Fange, and J. Elf, Bioinformatics BOINFP 1367-4803 10.1093/bioinformatics/bti431 21, 2923 (2005). (Pubitemid 40862297)
    • (2005) Bioinformatics , vol.21 , Issue.12 , pp. 2923-2924
    • Hattne, J.1    Fange, D.2    Elf, J.3
  • 13
    • 29244454300 scopus 로고    scopus 로고
    • Green's-function reaction dynamics: A particle-based approach for simulating biochemical networks in time and space
    • DOI 10.1063/1.2137716, 234910
    • J. S. van Zon and P. R. ten Wolde, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2137716 123, 234910 (2005). (Pubitemid 41829008)
    • (2005) Journal of Chemical Physics , vol.123 , Issue.23 , pp. 1-16
    • Van Zon, J.S.1    Ten Wolde, P.R.2
  • 14
    • 18244404300 scopus 로고    scopus 로고
    • Simulating biochemical networks at the particle level and in time and space: Green's function reaction dynamics
    • DOI 10.1103/PhysRevLett.94.128103, 128103
    • J. S. van Zon and P. R. ten Wolde, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.128103 94, 128103 (2005). (Pubitemid 40629896)
    • (2005) Physical Review Letters , vol.94 , Issue.12 , pp. 1-4
    • Van Zon, J.S.1    Rein Ten Wolde, P.2
  • 15
    • 67649365828 scopus 로고    scopus 로고
    • SMJMAP 0036-1399 10.1137/070705039
    • S. A. Isaacson, SIAM J. Appl. Math. SMJMAP 0036-1399 10.1137/070705039 70, 77 (2009).
    • (2009) SIAM J. Appl. Math. , vol.70 , pp. 77
    • Isaacson, S.A.1
  • 18
    • 70350729439 scopus 로고    scopus 로고
    • 1478-3967 10.1088/1478-3975/6/4/046001
    • R. Erban and S. J. Chapman, Phys. Biol. 1478-3967 10.1088/1478-3975/6/4/ 046001 6, 046001 (2009).
    • (2009) Phys. Biol. , vol.6 , pp. 046001
    • Erban, R.1    Chapman, S.J.2
  • 19
    • 20844455677 scopus 로고    scopus 로고
    • 1741-2471 10.1049/sb:20045021
    • J. Elf and M. Ehrenberg, Syst. Biol. 1741-2471 10.1049/sb:20045021 1, 230 (2004).
    • (2004) Syst. Biol. , vol.1 , pp. 230
    • Elf, J.1    Ehrenberg, M.2
  • 20
    • 0141902430 scopus 로고
    • JCSCA7 0095-8522 10.1016/0095-8522(49)90023-9
    • F. C. Collins and G. E. Kimball, J. Colloid Sci. JCSCA7 0095-8522 10.1016/0095-8522(49)90023-9 4, 425 (1949).
    • (1949) J. Colloid Sci. , vol.4 , pp. 425
    • Collins, F.C.1    Kimball, G.E.2
  • 21
    • 72049096926 scopus 로고    scopus 로고
    • JCPSA6 0021-9606 10.1063/1.3253798
    • D. T. Gillespie, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3253798 131, 164109 (2009).
    • (2009) J. Chem. Phys. , vol.131 , pp. 164109
    • Gillespie, D.T.1
  • 22
    • 34147128541 scopus 로고    scopus 로고
    • Reactive boundary conditions for stochastic simulations of reaction-diffusion processes
    • DOI 10.1088/1478-3975/4/1/003, PII S1478397507386342, 003
    • R. Erban and S. J. Chapman, Phys. Biol. 1478-3967 10.1088/1478-3975/4/1/ 003 4, 16 (2007). (Pubitemid 46553674)
    • (2007) Physical Biology , vol.4 , Issue.1 , pp. 16-28
    • Erban, R.1    Chapman, S.J.2
  • 23
    • 7044252203 scopus 로고
    • 0022-2488 10.1063/1.1664902
    • E. W. Montroll, J. Math. Phys. 0022-2488 10.1063/1.1664902 10, 753 (1969).
    • (1969) J. Math. Phys. , vol.10 , pp. 753
    • Montroll, E.W.1
  • 24
    • 0002567920 scopus 로고
    • JMAPAQ 0022-2488 10.1063/1.1704269
    • E. W. Montroll and G. H. Weiss, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1704269 6, 167 (1965).
    • (1965) J. Math. Phys. , vol.6 , pp. 167
    • Montroll, E.W.1    Weiss, G.H.2
  • 25
    • 73649105850 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.80.066106
    • S. A. Isaacson and D. Isaacson, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.066106 80, 066106 (2009).
    • (2009) Phys. Rev. e , vol.80 , pp. 066106
    • Isaacson, S.A.1    Isaacson, D.2
  • 26
    • 84859549143 scopus 로고    scopus 로고
    • Technical Report No. 2011-005, Department of Information Technology, Uppsala University
    • A. Hellander, S. Hellander, and P. Lötstedt, Technical Report No. 2011-005, Department of Information Technology, Uppsala University, 2011 (unpublished).
    • (2011)
    • Hellander, A.1    Hellander, S.2    Lötstedt, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.