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Volumn 83, Issue 6, 2011, Pages

Exact time-dependent solutions for a self-regulating gene

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL SOLUTIONS; COMPLEX FUNCTIONS; CONTROL OF GENE EXPRESSION; GENERATING FUNCTION TECHNIQUES; MASTER EQUATIONS; MICROSCOPIC MODELS; STOCHASTIC EQUATIONS; TIME-DEPENDENT SOLUTIONS;

EID: 79961052335     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.062902     Document Type: Article
Times cited : (41)

References (30)
  • 2
    • 67749106610 scopus 로고    scopus 로고
    • SCIEAS 0036-8075 10.1126/science.1173976
    • A. N. Boettiger and M. Levine, Science SCIEAS 0036-8075 10.1126/science.1173976 325, 471 (2009).
    • (2009) Science , vol.325 , pp. 471
    • Boettiger, A.N.1    Levine, M.2
  • 3
    • 0000296912 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.1750549
    • M. Delbrück, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1750549 8, 120 (1940).
    • (1940) J. Chem. Phys. , vol.8 , pp. 120
    • Delbrück, M.1
  • 4
    • 25444468618 scopus 로고    scopus 로고
    • Molecular biology - Noise in gene expression: Origins, consequences, and control
    • DOI 10.1126/science.1105891
    • J. M. Raser and E. K. O'Shea, Science SCIEAS 0036-8075 10.1126/science.1105891 309, 2010 (2005). (Pubitemid 41362308)
    • (2005) Science , vol.309 , Issue.5743 , pp. 2010-2013
    • Raser, J.M.1    O'Shea, E.K.2
  • 7
    • 4243911221 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.88.048101
    • E. Aurell and K. Sneppen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.048101 88, 048101 (2002).
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 048101
    • Aurell, E.1    Sneppen, K.2
  • 8
    • 1542335822 scopus 로고    scopus 로고
    • BIOJAU 0006-3495 10.1016/S0006-3495(04)74202-2
    • M. Santillán and M. C. Mackey, Biophys. J. BIOJAU 0006-3495 10.1016/S0006-3495(04)74202-2 86, 1282 (2004).
    • (2004) Biophys. J. , vol.86 , pp. 1282
    • Santillán, M.1    MacKey, M.C.2
  • 9
    • 0000111447 scopus 로고
    • TLPBAQ 0040-5809 10.1006/tpbi.1995.1027
    • J. Peccoud and B. Ycart, Theor. Popul. Biol. TLPBAQ 0040-5809 10.1006/tpbi.1995.1027 48, 222 (1995).
    • (1995) Theor. Popul. Biol. , vol.48 , pp. 222
    • Peccoud, J.1    Ycart, B.2
  • 10
    • 0035193294 scopus 로고    scopus 로고
    • BIOJAU 0006-3495 10.1016/S0006-3495(01)75949-8
    • T. B. Kepler and T. C. Elston, Biophys. J. BIOJAU 0006-3495 10.1016/S0006-3495(01)75949-8 81, 3116 (2001).
    • (2001) Biophys. J. , vol.81 , pp. 3116
    • Kepler, T.B.1    Elston, T.C.2
  • 13
    • 20344389483 scopus 로고    scopus 로고
    • Models of stochastic gene expression
    • DOI 10.1016/j.plrev.2005.03.003, PII S1571064505000138
    • J. Paulsson, Phys. Life Rev. PNASA6 1571-0645 10.1016/j.plrev.2005.03.003 2, 157 (2005). (Pubitemid 40792434)
    • (2005) Physics of Life Reviews , vol.2 , Issue.2 , pp. 157-175
    • Paulsson, J.1
  • 16
    • 57149091743 scopus 로고    scopus 로고
    • PNASA6 1553-734X 10.1371/journal.pcbi.1000235
    • R. Guantes and J. F. Poyatos, PLoS Comput. Biol. PNASA6 1553-734X 10.1371/journal.pcbi.1000235 4, e1000235 (2008).
    • (2008) PLoS Comput. Biol. , vol.4 , pp. 1000235
    • Guantes, R.1    Poyatos, J.F.2
  • 18
    • 34548095952 scopus 로고    scopus 로고
    • Modeling stochastic gene expression under repression
    • DOI 10.1007/s00285-007-0090-x
    • G. C. Innocentini and J. E. Hornos, J. Math. Biol. JMBLAJ 0303-6812 10.1007/s00285-007-0090-x 55, 413 (2007). (Pubitemid 47293367)
    • (2007) Journal of Mathematical Biology , vol.55 , Issue.3 , pp. 413-431
    • Innocentini, G.C.P.1    Hornos, J.E.M.2
  • 19
    • 34548588949 scopus 로고    scopus 로고
    • Symmetry and stochastic gene regulation
    • DOI 10.1103/PhysRevLett.99.108103
    • A. F. Ramos and J. E. M. Hornos, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.108103 99, 108103 (2007). (Pubitemid 47388570)
    • (2007) Physical Review Letters , vol.99 , Issue.10 , pp. 108103
    • Ramos, A.F.1    Hornos, J.E.M.2
  • 21
    • 58149471214 scopus 로고    scopus 로고
    • PRLTAO 1539-3755 10.1103/PhysRevE.78.061920
    • D. B. Saakian, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.78.061920 78, 061920 (2008).
    • (2008) Phys. Rev. e , vol.78 , pp. 061920
    • Saakian, D.B.1
  • 22
    • 74049092279 scopus 로고    scopus 로고
    • BIOJAU 0006-3495 10.1016/j.bpj.2009.09.055
    • L. M. Bishop and H. Qian, Biophys. J. BIOJAU 0006-3495 10.1016/j.bpj.2009.09.055 98, 1 (2010).
    • (2010) Biophys. J. , vol.98 , pp. 1
    • Bishop, L.M.1    Qian, H.2
  • 23
    • 0003926049 scopus 로고
    • edited by A. Ronveaux (Oxford University Press, Oxford
    • Heun's Differential Equations, edited by, A. Ronveaux, (Oxford University Press, Oxford, 1995).
    • (1995) Heun's Differential Equations
  • 24
    • 8744309954 scopus 로고    scopus 로고
    • Susy, Gauss, Heun and physics: A magic square?
    • DOI 10.1088/0305-4470/37/43/008, PII S0305447004767025
    • A. A. Stahlhofen, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/37/43/008 37, 10129 (2004). (Pubitemid 39519389)
    • (2004) Journal of Physics A: Mathematical and General , vol.37 , Issue.43 , pp. 10129-10138
    • Stahlhofen, A.A.1
  • 25
    • 8344250865 scopus 로고    scopus 로고
    • Solutions for the general, confluent and biconfluent Heun equations and their connection with Abel equations
    • DOI 10.1088/0305-4470/37/42/007, PII S0305447004788514
    • E. S. Cheb-Terrab, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/37/42/ 007 37, 9923 (2004). (Pubitemid 39483462)
    • (2004) Journal of Physics A: Mathematical and General , vol.37 , Issue.42 , pp. 9923-9949
    • Cheb-Terrab, E.S.1
  • 26
    • 77953111062 scopus 로고    scopus 로고
    • CQGRDG 0264-9381 10.1088/0264-9381/27/13/135001
    • P. P. Fiziev, Classical and Quantum Gravity CQGRDG 0264-9381 10.1088/0264-9381/27/13/135001 27, 135001 (2010).
    • (2010) Classical and Quantum Gravity , vol.27 , pp. 135001
    • Fiziev, P.P.1
  • 27
    • 79961044317 scopus 로고    scopus 로고
    • See supplemental material at [http://link.aps.org/supplemental/10.1103/ PhysRevE.83.062902] for explicit formulas.
  • 28
    • 77649220197 scopus 로고    scopus 로고
    • SCIEAS 0036-8075 10.1126/science.1178962
    • T.-L. To and N. Maheshri, Science SCIEAS 0036-8075 10.1126/science. 1178962 327, 1142 (2010).
    • (2010) Science , vol.327 , pp. 1142
    • To, T.-L.1    Maheshri, N.2
  • 30
    • 33846452487 scopus 로고    scopus 로고
    • Single molecule dynamics and statistical fluctuations of gene regulatory networks: A repressilator
    • DOI 10.1063/1.2424933
    • K-Y. Kim, D. Lepzelter, and J. Wang, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2424933 126, 034702 (2007). (Pubitemid 46146453)
    • (2007) Journal of Chemical Physics , vol.126 , Issue.3 , pp. 034702
    • Kim, K.-Y.1    Lepzelter, D.2    Wang, J.3


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