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Volumn 5688 LNBI, Issue , 2009, Pages 173-188

Approximation of event probabilities in noisy cellular processes

Author keywords

[No Author keywords available]

Indexed keywords

ANALYSIS APPROACH; BIOLOGICAL PROCESS; CELLULAR PROCESS; CONTINUOUS TIME; DISCRETE EVENTS; EVENT PROBABILITY; MOLECULAR NOISE; REACHABILITY ANALYSIS; STATISTICAL ACCURACY; TIME INSTANCES;

EID: 70349308811     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-03845-7_12     Document Type: Conference Paper
Times cited : (10)

References (44)
  • 1
    • 0031879114 scopus 로고    scopus 로고
    • Stochastic kinetic analysis of developmental pathway bifurcation in phage λ-infected E. coli cells
    • Arkin, A., Ross, J., McAdams, H.H.: Stochastic kinetic analysis of developmental pathway bifurcation in phage λ-infected E. coli cells. Genetics 149, 1633-1648 (1998)
    • (1998) Genetics , vol.149 , pp. 1633-1648
    • Arkin, A.1    Ross, J.2    McAdams, H.H.3
  • 2
    • 0034688220 scopus 로고    scopus 로고
    • Biological rhythms: Circadian clocks limited by noise
    • Barkai, N., Leibler, S.: Biological rhythms: Circadian clocks limited by noise. Nature 403, 267-268 (2000)
    • (2000) Nature , vol.403 , pp. 267-268
    • Barkai, N.1    Leibler, S.2
  • 5
    • 35348848671 scopus 로고    scopus 로고
    • A Krylov-based finite state projection algorithm for solving the chemical master equation arising in the discrete modelling of biological systems
    • Boson Books, pp
    • Burrage, K., Hegland, M., Macnamara, F., Sidje, R.: A Krylov-based finite state projection algorithm for solving the chemical master equation arising in the discrete modelling of biological systems. In: Proc. of the Markov 150th Anniversary Conference, Boson Books, pp. 21-38 (2006)
    • (2006) Proc. of the Markov 150th Anniversary Conference , pp. 21-38
    • Burrage, K.1    Hegland, M.2    Macnamara, F.3    Sidje, R.4
  • 6
  • 7
    • 0037119578 scopus 로고    scopus 로고
    • Small numbers of big molecules
    • Fedoroff, N., Fontana, W.: Small numbers of big molecules. Science 297, 1129-1131 (2002)
    • (2002) Science , vol.297 , pp. 1129-1131
    • Fedoroff, N.1    Fontana, W.2
  • 8
    • 0023999020 scopus 로고
    • Computing Poisson probabilities
    • Fox, B.L., Glynn, P.W.: Computing Poisson probabilities. Communications of the ACM 31(4), 440-445 (1988)
    • (1988) Communications of the ACM , vol.31 , Issue.4 , pp. 440-445
    • Fox, B.L.1    Glynn, P.W.2
  • 9
    • 33645429016 scopus 로고
    • Exact stochastic simulation of coupled chemical reactions
    • Gillespie, D.T.: Exact stochastic simulation of coupled chemical reactions. J. Phys. Chem. 81(25), 2340-2361 (1977)
    • (1977) J. Phys. Chem , vol.81 , Issue.25 , pp. 2340-2361
    • Gillespie, D.T.1
  • 11
    • 0037154231 scopus 로고    scopus 로고
    • Robustness of circadian rhythms with respect to molecular noise
    • Gonze, D., Halloy, J., Goldbeter, A.: Robustness of circadian rhythms with respect to molecular noise. PNAS, USA 99(2), 673-678 (2002)
    • (2002) PNAS, USA , vol.99 , Issue.2 , pp. 673-678
    • Gonze, D.1    Halloy, J.2    Goldbeter, A.3
  • 12
    • 2542424156 scopus 로고    scopus 로고
    • Stochastic models for circadian oscillations: Emergence of a biological rhythm
    • Gonze, D., Halloy, J., Goldbeter, A.: Stochastic models for circadian oscillations: Emergence of a biological rhythm. Quantum Chemistry 98, 228-238 (2004)
    • (2004) Quantum Chemistry , vol.98 , pp. 228-238
    • Gonze, D.1    Halloy, J.2    Goldbeter, A.3
  • 13
    • 18844402156 scopus 로고    scopus 로고
    • Quasiequilibrium approximation of fast reaction kinetics in stochastic biochemical systems
    • Goutsias, J.: Quasiequilibrium approximation of fast reaction kinetics in stochastic biochemical systems. J. Chem. Phys. 122(18), 184102 (2005)
    • (2005) J. Chem. Phys , vol.122 , Issue.18 , pp. 184102
    • Goutsias, J.1
  • 14
    • 0034050722 scopus 로고    scopus 로고
    • Noise-based switches and amplifiers for gene expression
    • Hasty, J., Pradines, J., Dolnik,M., Collins, J.J.: Noise-based switches and amplifiers for gene expression. PNAS, USA 97, 2075 (2000)
    • (2000) PNAS, USA , vol.97 , pp. 2075
    • Hasty, J.1    Pradines, J.2    Dolnik, M.3    Collins, J.J.4
  • 15
    • 42449098178 scopus 로고    scopus 로고
    • Efficient computation of transient solutions of the chemical master equation based on uniformization and quasi-Monte carlo
    • Hellander, A.: Efficient computation of transient solutions of the chemical master equation based on uniformization and quasi-Monte carlo. J. Chem. Phys. 128(15), 154109 (2008)
    • (2008) J. Chem. Phys , vol.128 , Issue.15 , pp. 154109
    • Hellander, A.1
  • 16
    • 70349371001 scopus 로고    scopus 로고
    • Linking systems biology models to data: A stochastic kinetic model of p53 oscillations
    • O'Hagan, A, West, M, eds, Oxford University Press, Oxford
    • Henderson, D.A., Boys, R.J., Proctor, C.J.,Wilkinson, D.J.: Linking systems biology models to data: a stochastic kinetic model of p53 oscillations. In: O'Hagan, A., West, M. (eds.) Handbook of Applied Bayesian Analysis. Oxford University Press, Oxford (2009)
    • (2009) Handbook of Applied Bayesian Analysis
    • Henderson, D.A.1    Boys, R.J.2    Proctor, C.J.3    Wilkinson, D.J.4
  • 17
    • 70350241659 scopus 로고    scopus 로고
    • Sliding window abstraction for infinite Markov chains
    • Proc. CAV, Springer, Heidelberg to appear
    • Henzinger, T., Mateescu, M., Wolf, V.: Sliding window abstraction for infinite Markov chains. In: Proc. CAV. LNCS. Springer, Heidelberg (to appear, 2009)
    • (2009) LNCS
    • Henzinger, T.1    Mateescu, M.2    Wolf, V.3
  • 19
    • 0035896577 scopus 로고    scopus 로고
    • The effect of transcription and translation initiation frequencies on the stochastic fluctuations in prokaryotic gene expression
    • Kierzek, A., Zaim, J., Zielenkiewicz, P.: The effect of transcription and translation initiation frequencies on the stochastic fluctuations in prokaryotic gene expression. Journal of Biological Chemistry 276(11), 8165-8172 (2001)
    • (2001) Journal of Biological Chemistry , vol.276 , Issue.11 , pp. 8165-8172
    • Kierzek, A.1    Zaim, J.2    Zielenkiewicz, P.3
  • 20
    • 70349347889 scopus 로고    scopus 로고
    • Law, A., Kelton, D.: SimulationModelling and Analysis.McGraw-Hill Education, New York (2000)
    • Law, A., Kelton, D.: SimulationModelling and Analysis.McGraw-Hill Education, New York (2000)
  • 21
    • 0033517148 scopus 로고    scopus 로고
    • Robustness of a gene regulatory circuit
    • Little, J.W., Shepley, D.P., Wert, D.W.: Robustness of a gene regulatory circuit. The EMBO Journal 18(15), 4299-4307 (1999)
    • (1999) The EMBO Journal , vol.18 , Issue.15 , pp. 4299-4307
    • Little, J.W.1    Shepley, D.P.2    Wert, D.W.3
  • 22
    • 41749107942 scopus 로고    scopus 로고
    • Stochasticity and Cell Fate
    • Losick, R., Desplan, C.: Stochasticity and Cell Fate. Science 320(5872), 65-68 (2008)
    • (2008) Science , vol.320 , Issue.5872 , pp. 65-68
    • Losick, R.1    Desplan, C.2
  • 23
    • 34547604468 scopus 로고    scopus 로고
    • Noise in gene expression determines cell fate in Bacillus subtilis
    • Maamar, H., Raj, A., Dubnau, D.: Noise in gene expression determines cell fate in Bacillus subtilis. Science 317(5837), 526-529 (2007)
    • (2007) Science , vol.317 , Issue.5837 , pp. 526-529
    • Maamar, H.1    Raj, A.2    Dubnau, D.3
  • 24
    • 0031029852 scopus 로고    scopus 로고
    • Stochastic mechanisms in gene expression
    • McAdams, H.H., Arkin, A.: Stochastic mechanisms in gene expression. PNAS, USA 94, 814-819 (1997)
    • (1997) PNAS, USA , vol.94 , pp. 814-819
    • McAdams, H.H.1    Arkin, A.2
  • 25
  • 26
    • 33751347484 scopus 로고    scopus 로고
    • The finite state projection algorithm for the solution of the chemical master equation
    • Munsky, B., Khammash, M.: The finite state projection algorithm for the solution of the chemical master equation. J. Chem. Phys. 124, 044144 (2006)
    • (2006) J. Chem. Phys , vol.124 , pp. 044144
    • Munsky, B.1    Khammash, M.2
  • 29
    • 0842285841 scopus 로고    scopus 로고
    • Summing up the noise in gene networks
    • Paulsson, J.: Summing up the noise in gene networks. Nature 427(6973), 415-418 (2004)
    • (2004) Nature , vol.427 , Issue.6973 , pp. 415-418
    • Paulsson, J.1
  • 30
    • 0037078982 scopus 로고    scopus 로고
    • Control, exploitation and tolerance of intracellular noise
    • Rao, C., Wolf, D., Arkin, A.: Control, exploitation and tolerance of intracellular noise. Nature 420(6912), 231-237 (2002)
    • (2002) Nature , vol.420 , Issue.6912 , pp. 231-237
    • Rao, C.1    Wolf, D.2    Arkin, A.3
  • 32
    • 70349352585 scopus 로고    scopus 로고
    • On the statistical accuracy of stochastic simulation algorithms implemented in Dizzy
    • Sandmann, W., Maier, C.: On the statistical accuracy of stochastic simulation algorithms implemented in Dizzy. In: Proc. WCSB, pp. 153-156 (2008)
    • (2008) Proc. WCSB , pp. 153-156
    • Sandmann, W.1    Maier, C.2
  • 34
    • 47149085662 scopus 로고    scopus 로고
    • Sandmann, W., Wolf, V.: Computational probability for systems biology. In: Fisher, J. (ed.) FMSB 2008. LNCS (LNBI), 5054, pp. 33-47. Springer, Heidelberg (2008)
    • Sandmann, W., Wolf, V.: Computational probability for systems biology. In: Fisher, J. (ed.) FMSB 2008. LNCS (LNBI), vol. 5054, pp. 33-47. Springer, Heidelberg (2008)
  • 35
    • 55549104055 scopus 로고    scopus 로고
    • Inexact uniformization method for computing transient distributions of Markov chains
    • Sidje, R., Burrage, K., MacNamara, S.: Inexact uniformization method for computing transient distributions of Markov chains. SIAM J. Sci. Comput. 29(6), 2562-2580 (2007)
    • (2007) SIAM J. Sci. Comput , vol.29 , Issue.6 , pp. 2562-2580
    • Sidje, R.1    Burrage, K.2    MacNamara, S.3
  • 36
    • 0036400749 scopus 로고    scopus 로고
    • Stochastic vs. deterministic modeling of intracellular viral kinetics
    • Srivastava, R., You, L., Summers, J., Yin, J.: Stochastic vs. deterministic modeling of intracellular viral kinetics. Journal of Theoretical Biology 218, 309-321 (2002)
    • (2002) Journal of Theoretical Biology , vol.218 , pp. 309-321
    • Srivastava, R.1    You, L.2    Summers, J.3    Yin, J.4
  • 38
    • 0036790975 scopus 로고    scopus 로고
    • Intrinsic and extrinsic contributions to stochasticity in gene expression
    • Swain, P.S., Elowitz,M.B., Siggia, E.D.: Intrinsic and extrinsic contributions to stochasticity in gene expression. PNAS, USA 99(20), 12795-12800 (2002)
    • (2002) PNAS, USA , vol.99 , Issue.20 , pp. 12795-12800
    • Swain, P.S.1    Elowitz, M.B.2    Siggia, E.D.3
  • 39
    • 0035902599 scopus 로고    scopus 로고
    • Intrinsic noise in gene regulatory networks
    • Thattai, M., van Oudenaarden, A.: Intrinsic noise in gene regulatory networks. PNAS, USA 98(15), 8614-8619 (2001)
    • (2001) PNAS, USA , vol.98 , Issue.15 , pp. 8614-8619
    • Thattai, M.1    van Oudenaarden, A.2
  • 42
    • 56249093501 scopus 로고    scopus 로고
    • Signatures of combinatorial regulation in intrinsic biological noise
    • Warmflash, A., Dinner, A.: Signatures of combinatorial regulation in intrinsic biological noise. PNAS 105(45), 17262-17267 (2008)
    • (2008) PNAS , vol.105 , Issue.45 , pp. 17262-17267
    • Warmflash, A.1    Dinner, A.2
  • 44
    • 70349357482 scopus 로고    scopus 로고
    • Zhang, J., Watson, L.T., Cao, Y.: A modified uniformization method for the solution of the chemical master equation. TR-07-31, Computer Science, Virginia Tech. (2007)
    • Zhang, J., Watson, L.T., Cao, Y.: A modified uniformization method for the solution of the chemical master equation. TR-07-31, Computer Science, Virginia Tech. (2007)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.