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Volumn , Issue , 2007, Pages 1-12

Systems biology and control - A tutorial

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EID: 62749175837     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2007.4435054     Document Type: Conference Paper
Times cited : (4)

References (156)
  • 1
    • 0001049576 scopus 로고
    • J. Bishop Science, vol. 267, p. 1617, 1995.
    • (1995) Science , vol.267 , pp. 1617
    • Bishop, J.1
  • 2
    • 0030797355 scopus 로고    scopus 로고
    • Robustness in simple biochemical networks
    • N. Barkai and S. Leibler, "Robustness in simple biochemical networks," Nature, vol. 387, no. 6636, pp. 913-917, 1997.
    • (1997) Nature , vol.387 , Issue.6636 , pp. 913-917
    • Barkai, N.1    Leibler, S.2
  • 3
    • 0030878161 scopus 로고    scopus 로고
    • Theoretical biology. A robust view of biochemical pathways
    • L. Hartwell, "Theoretical biology. A robust view of biochemical pathways," Nature, vol. 387, no. 6636, pp. 855, 857, 1997.
    • (1997) Nature , vol.387 , Issue.6636
    • Hartwell, L.1
  • 4
    • 0034712843 scopus 로고    scopus 로고
    • Robust perfect adaptation in bacterial Chemotaxis through integral feedback control
    • T. M. Yi, Y. Huang, M. I. Simon, and J. Doyle, "Robust perfect adaptation in bacterial Chemotaxis through integral feedback control," Proc. Natl Acad. Sci. USA, vol. 97, no. 9, pp. 4649-4653, 2000.
    • (2000) Proc. Natl Acad. Sci. USA , vol.97 , Issue.9 , pp. 4649-4653
    • Yi, T.M.1    Huang, Y.2    Simon, M.I.3    Doyle, J.4
  • 5
    • 0037119587 scopus 로고    scopus 로고
    • Stochastic gene expression in a single cell
    • M. Elowitz, A. Levine, E. Siggia, and P. Swain, "Stochastic gene expression in a single cell," Nature, vol. 297, no. 5584, pp. 1183-1186, 2002.
    • (2002) Nature , vol.297 , Issue.5584 , pp. 1183-1186
    • Elowitz, M.1    Levine, A.2    Siggia, E.3    Swain, P.4
  • 6
    • 0036790975 scopus 로고    scopus 로고
    • Intrinsic and extrinsic contributions to stochasticity in gene expression
    • P. Swain, M. Elowitz, and E. Siggia, "Intrinsic and extrinsic contributions to stochasticity in gene expression," Proc. Natl Acad. Sci. USA, vol. 99, no. 20, pp. 12795-12800, 2002.
    • (2002) Proc. Natl Acad. Sci. USA , vol.99 , Issue.20 , pp. 12795-12800
    • Swain, P.1    Elowitz, M.2    Siggia, E.3
  • 7
    • 0034688174 scopus 로고    scopus 로고
    • Construction of a genetic toggle switch in Escherichia coli
    • T. Gardner, C. Cantor, and J. Collins, "Construction of a genetic toggle switch in Escherichia coli," Nature, vol. 403, pp. 339-342, 2000.
    • (2000) Nature , vol.403 , pp. 339-342
    • Gardner, T.1    Cantor, C.2    Collins, J.3
  • 8
    • 0031029852 scopus 로고    scopus 로고
    • Stochastic mechanisms in geneexpression
    • H. McAdams and A. Arkin, "Stochastic mechanisms in geneexpression," Proc. Natl Acad. Sci. USA, vol. 94, no. 3, pp. 814-819, 1997.
    • (1997) Proc. Natl Acad. Sci. USA , vol.94 , Issue.3 , pp. 814-819
    • McAdams, H.1    Arkin, A.2
  • 9
    • 0033083733 scopus 로고    scopus 로고
    • It's a noisy business! genetic regulation at the nanomolar scale
    • H. H. McAdams and A. Arkin, "It's a noisy business! genetic regulation at the nanomolar scale," Trends in Genetics, vol. 15, no. 2, pp. 65-69, 1999.
    • (1999) Trends in Genetics , vol.15 , Issue.2 , pp. 65-69
    • McAdams, H.H.1    Arkin, A.2
  • 11
    • 0037079012 scopus 로고    scopus 로고
    • Engineered gene circuits
    • J. Hasty, D. McMillen, and J. Collins, "Engineered gene circuits," Nature, vol. 420, no. 6912, pp. 224-230, 2002.
    • (2002) Nature , vol.420 , Issue.6912 , pp. 224-230
    • Hasty, J.1    McMillen, D.2    Collins, J.3
  • 12
    • 0034688173 scopus 로고    scopus 로고
    • A synthetic oscillatory network of transcriptional regulators
    • M. Elowitz and S. Leibler, "A synthetic oscillatory network of transcriptional regulators," Nature, vol. 403, pp. 335-338, 2000.
    • (2000) Nature , vol.403 , pp. 335-338
    • Elowitz, M.1    Leibler, S.2
  • 13
    • 34047130839 scopus 로고    scopus 로고
    • Roles of noise in single and coupled multiple genetic oscillators
    • M. Yoda, T. Ushikubo, W. Inoue, and M. Sasai, "Roles of noise in single and coupled multiple genetic oscillators," J. Chem. Phys., vol. 126, p. 115101, 2007.
    • (2007) J. Chem. Phys , vol.126 , pp. 115101
    • Yoda, M.1    Ushikubo, T.2    Inoue, W.3    Sasai, M.4
  • 14
    • 0037197850 scopus 로고    scopus 로고
    • Mechanisms of noise-resistance in genetic oscillators
    • J. M. G. Vilar, H. Y. Kueh, N. Barkai, and S. Leibler, "Mechanisms of noise-resistance in genetic oscillators," Proc. Natl. Acad. Sci., vol. 99, pp. 5988-15992, 2002.
    • (2002) Proc. Natl. Acad. Sci , vol.99 , pp. 5988-15992
    • Vilar, J.M.G.1    Kueh, H.Y.2    Barkai, N.3    Leibler, S.4
  • 15
    • 39649116055 scopus 로고    scopus 로고
    • Coherence resonance: A mechanism for noise induced stable oscillations in gene regulatory networks
    • H. El-Samad and M. Khammash, "Coherence resonance: A mechanism for noise induced stable oscillations in gene regulatory networks," in Proc. of the 45th Conf. Decision and Contr., 2006.
    • (2006) Proc. of the 45th Conf. Decision and Contr
    • El-Samad, H.1    Khammash, M.2
  • 16
    • 0034691214 scopus 로고    scopus 로고
    • Stochastic focusing: Fluctuation-enhanced sensitivity of intracellular regulation
    • J. Paulsson, O. Berg, and M. Ehrenberg, "Stochastic focusing: Fluctuation-enhanced sensitivity of intracellular regulation," Proc. Natl Acad. Sci. USA, vol. 97, pp. 7148-7153, 2000.
    • (2000) Proc. Natl Acad. Sci. USA , vol.97 , pp. 7148-7153
    • Paulsson, J.1    Berg, O.2    Ehrenberg, M.3
  • 17
    • 0035902599 scopus 로고    scopus 로고
    • Intrinsic noise in gene regulatory networks
    • M. Thattai and A. V. Oudenaarden, "Intrinsic noise in gene regulatory networks," Proc. Natl Acad. Sci. USA, vol. 98, pp. 8614-8619, 2001.
    • (2001) Proc. Natl Acad. Sci. USA , vol.98 , pp. 8614-8619
    • Thattai, M.1    Oudenaarden, A.V.2
  • 18
    • 0036111831 scopus 로고    scopus 로고
    • Attenuation of noise in ultrasensitive signaling cascades
    • M. Thattai and A. V. Oudenaarden, "Attenuation of noise in ultrasensitive signaling cascades," Biophys. J., vol. 82, pp. 2943-2950, 2002.
    • (2002) Biophys. J , vol.82 , pp. 2943-2950
    • Thattai, M.1    Oudenaarden, A.V.2
  • 19
    • 0036428761 scopus 로고    scopus 로고
    • Negative autoregulation speeds the response times of transcription networks
    • N. Rosenfeld, M. Elowitz, and U. Alon, "Negative autoregulation speeds the response times of transcription networks," J. Mol. Biol., vol. 323, pp. 785-793, 2002.
    • (2002) J. Mol. Biol , vol.323 , pp. 785-793
    • Rosenfeld, N.1    Elowitz, M.2    Alon, U.3
  • 20
    • 0038271880 scopus 로고    scopus 로고
    • Prediction and measurement of an autoregulatory genetic module
    • F. Isaacs, J. Hasty, C. Cantor, and J. Collins, "Prediction and measurement of an autoregulatory genetic module," Proc. Natl. Acad. Sci. USA, vol. 100, pp. 7714-7719, 2003.
    • (2003) Proc. Natl. Acad. Sci. USA , vol.100 , pp. 7714-7719
    • Isaacs, F.1    Hasty, J.2    Cantor, C.3    Collins, J.4
  • 21
    • 8544264562 scopus 로고    scopus 로고
    • Efficient attenuation of stochasticity in gene expression through post-transcriptional control
    • P. Swain, "Efficient attenuation of stochasticity in gene expression through post-transcriptional control," J. Mol. Biol., vol. 344, pp. 965-976, 2004.
    • (2004) J. Mol. Biol , vol.344 , pp. 965-976
    • Swain, P.1
  • 22
    • 85086527893 scopus 로고    scopus 로고
    • Stochastic stability and its applications to the study of gene regulatory networks
    • H. El-Samad and M. Khammash, "Stochastic stability and its applications to the study of gene regulatory networks," in Proc. of the 43rd Conf. Decision and Contr., 2004.
    • (2004) Proc. of the 43rd Conf. Decision and Contr
    • El-Samad, H.1    Khammash, M.2
  • 23
    • 15544388848 scopus 로고    scopus 로고
    • Noise propoagation in gene networks
    • J. M. Pedraza and A. van Oudenaarden, "Noise propoagation in gene networks," Science, vol. 307, no. 5717, pp. 1965 - 1969, 2005.
    • (2005) Science , vol.307 , Issue.5717 , pp. 1965-1969
    • Pedraza, J.M.1    van Oudenaarden, A.2
  • 24
    • 0842285841 scopus 로고    scopus 로고
    • Summing up the noise in gene networks
    • J. Paulsson, "Summing up the noise in gene networks," Nature, vol. 427, no. 6973, pp. 415-418, 2004.
    • (2004) Nature , vol.427 , Issue.6973 , pp. 415-418
    • Paulsson, J.1
  • 26
    • 33646175490 scopus 로고    scopus 로고
    • Regulated degradation is a mechanism for suppressing stochastic fluctuations in gene regulatory networks
    • H. El-Samad and M. Khammash, "Regulated degradation is a mechanism for suppressing stochastic fluctuations in gene regulatory networks," Biophys. J., vol. 90, pp. 3749-3761, 2006.
    • (2006) Biophys. J , vol.90 , pp. 3749-3761
    • El-Samad, H.1    Khammash, M.2
  • 27
    • 44049109914 scopus 로고
    • A rigorous derivation of the chemical master equation
    • D. T. Gillespie, "A rigorous derivation of the chemical master equation," Physlca A, vol. 188, pp. 404-425, 1992.
    • (1992) Physlca A , vol.188 , pp. 404-425
    • Gillespie, D.T.1
  • 28
    • 0017030517 scopus 로고
    • A general method for numerically simulating the stochastic time evolution of coupled chemical reactions
    • D. T. Gillespie, "A general method for numerically simulating the stochastic time evolution of coupled chemical reactions," J. of Computational Physics, vol. 22, pp. 403-434, 1976.
    • (1976) J. of Computational Physics , vol.22 , pp. 403-434
    • Gillespie, D.T.1
  • 29
    • 0035933994 scopus 로고    scopus 로고
    • Approximate accelerated stochastic simulation of chemically reacting systems
    • D. T. Gillespie, "Approximate accelerated stochastic simulation of chemically reacting systems," J. Chem. Phys., vol. 115, pp. 1716-1733, 2001.
    • (2001) J. Chem. Phys , vol.115 , pp. 1716-1733
    • Gillespie, D.T.1
  • 30
    • 0242425970 scopus 로고    scopus 로고
    • Improved leap-size selection for accelerated stochastic simulation
    • D. T. Gillespie and L. Petzold, "Improved leap-size selection for accelerated stochastic simulation," J. Chem. Phys., vol. 119, pp. 8229-8234, 2003.
    • (2003) J. Chem. Phys , vol.119 , pp. 8229-8234
    • Gillespie, D.T.1    Petzold, L.2
  • 31
    • 0942279178 scopus 로고    scopus 로고
    • Stiffness in stochastic chemically reacting systems: The implicit tau-leaping method
    • M. M. Rathinam, L. R. Petzold, Y. Cao, and D. T. Gillespie, "Stiffness in stochastic chemically reacting systems: The implicit tau-leaping method," J. Chem. Phys., vol. 119, pp. 12784-12794, 2003.
    • (2003) J. Chem. Phys , vol.119 , pp. 12784-12794
    • Rathinam, M.M.1    Petzold, L.R.2    Cao, Y.3    Gillespie, D.T.4
  • 33
    • 0034225547 scopus 로고    scopus 로고
    • The chemical Langevin equation
    • D. T. Gillespie, "The chemical Langevin equation," J. Chem. Phys., vol. 113, pp. 297-306, 2000.
    • (2000) J. Chem. Phys , vol.113 , pp. 297-306
    • Gillespie, D.T.1
  • 34
    • 0037162152 scopus 로고    scopus 로고
    • The chemical langevin and fokker-planck equations for the reversible isomerization reaction
    • D. T. Gillespie, "The chemical langevin and fokker-planck equations for the reversible isomerization reaction," J. Physical Chemistry, vol. 106, pp. 5063-5071, 2002.
    • (2002) J. Physical Chemistry , vol.106 , pp. 5063-5071
    • Gillespie, D.T.1
  • 35
    • 0000660738 scopus 로고
    • Strong approximation theorems for density dependent markov chains
    • T. G. Kurtz, "Strong approximation theorems for density dependent markov chains," Stochastic Processes and their Applications, vol. 6, pp. 223-240, 1978.
    • (1978) Stochastic Processes and their Applications , vol.6 , pp. 223-240
    • Kurtz, T.G.1
  • 37
    • 0242490781 scopus 로고    scopus 로고
    • Fast evaluation of fluctuations in biochemical networks with the linear noise approximation
    • J. Elf and M. Ehrenberg, "Fast evaluation of fluctuations in biochemical networks with the linear noise approximation," Genome Res., vol. 13, pp. 2475-2484, 2003.
    • (2003) Genome Res , vol.13 , pp. 2475-2484
    • Elf, J.1    Ehrenberg, M.2
  • 38
    • 3042715501 scopus 로고    scopus 로고
    • Multivariate analysis of noise in genetic regulatory networks
    • R. Tomioka, H. Kimura, T. Koboyashi, and K. Aihara, "Multivariate analysis of noise in genetic regulatory networks," J. Theor. Biol., vol. 229, no. 3, pp. 501-521, 2004.
    • (2004) J. Theor. Biol , vol.229 , Issue.3 , pp. 501-521
    • Tomioka, R.1    Kimura, H.2    Koboyashi, T.3    Aihara, K.4
  • 40
    • 33751347484 scopus 로고    scopus 로고
    • The finite state projection algorithm for the solution of the chemical master equation
    • B. Munsky and M. Khammash, "The finite state projection algorithm for the solution of the chemical master equation," J. Chem. Phys., vol. 124, p. 044104, 2006.
    • (2006) J. Chem. Phys , vol.124 , pp. 044104
    • Munsky, B.1    Khammash, M.2
  • 41
    • 33751566347 scopus 로고    scopus 로고
    • Reduction and solution of the chemical master equation using time scale separation and finite state projection
    • S. Peles, B. Munsky, and M. Khammash, "Reduction and solution of the chemical master equation using time scale separation and finite state projection," J. Chem. Phys., vol. 20, p. 204104, 2006.
    • (2006) J. Chem. Phys , vol.20 , pp. 204104
    • Peles, S.1    Munsky, B.2    Khammash, M.3
  • 42
    • 0001637131 scopus 로고
    • On the use of the normal approximation in the treatment of stochastic processes
    • P. Whittle, "On the use of the normal approximation in the treatment of stochastic processes," J. Royal Statist. Soc., Ser. B, vol. 19, pp. 268-281, 1957.
    • (1957) J. Royal Statist. Soc., Ser. B , vol.19 , pp. 268-281
    • Whittle, P.1
  • 43
    • 17944394670 scopus 로고    scopus 로고
    • Moment closure and the stochastic logistic model
    • I. Nasell, "Moment closure and the stochastic logistic model," Theoretical Population Biology, vol. 63, pp. 159-168, 2003.
    • (2003) Theoretical Population Biology , vol.63 , pp. 159-168
    • Nasell, I.1
  • 44
    • 85128500654 scopus 로고    scopus 로고
    • C. A. Gomez-Uribe and G. C. Verghese, Mass fluctuation kinetics: Capturing stochastic effects in systems of chemical reactions through coupled mean-variance computations, J. Chem. Phys., 126, no. 2, pp. 024109-024109-12, 2007.
    • C. A. Gomez-Uribe and G. C. Verghese, "Mass fluctuation kinetics: Capturing stochastic effects in systems of chemical reactions through coupled mean-variance computations," J. Chem. Phys., vol. 126, no. 2, pp. 024109-024109-12, 2007.
  • 45
    • 0034698011 scopus 로고    scopus 로고
    • Multiplicative moments and measures of persistence in ecology
    • M. J. Keeling, "Multiplicative moments and measures of persistence in ecology," J. Theor. Biol., vol. 205, pp. 269-281, 2000.
    • (2000) J. Theor. Biol , vol.205 , pp. 269-281
    • Keeling, M.J.1
  • 46
    • 0347506351 scopus 로고    scopus 로고
    • An extension of the moment closure method
    • I. Nasell, "An extension of the moment closure method," Theoretical Population Biology, vol. 64, pp. 233-239, 2003.
    • (2003) Theoretical Population Biology , vol.64 , pp. 233-239
    • Nasell, I.1
  • 47
    • 24344504546 scopus 로고    scopus 로고
    • J. P. Hespanha, Polynomial stochastic hybrid systems, in Hybrid Systems: Computation and Control (M. Morari and L. Thiele, eds.), no. 3414 in Lect. Notes in Comput. Science, pp. 322-338, Berlin: Springer-Verlag, 2005.
    • J. P. Hespanha, "Polynomial stochastic hybrid systems," in Hybrid Systems: Computation and Control (M. Morari and L. Thiele, eds.), no. 3414 in Lect. Notes in Comput. Science, pp. 322-338, Berlin: Springer-Verlag, 2005.
  • 48
    • 34547683508 scopus 로고    scopus 로고
    • A derivative matching approach to moment closure for the stochastic logistic model
    • A. Singh and J. P. Hespanha, "A derivative matching approach to moment closure for the stochastic logistic model," Bull Math Biol., vol. 69, no. 6, pp. 1909-1925, 2007.
    • (2007) Bull Math Biol , vol.69 , Issue.6 , pp. 1909-1925
    • Singh, A.1    Hespanha, J.P.2
  • 49
    • 46449090683 scopus 로고    scopus 로고
    • Stochastic analysis of gene regulatory networks using moment closure
    • A. Singh and J. P. Hespanha, "Stochastic analysis of gene regulatory networks using moment closure," in Amer. Contr. Conf., 2007.
    • (2007) Amer. Contr. Conf
    • Singh, A.1    Hespanha, J.P.2
  • 50
    • 34047241565 scopus 로고    scopus 로고
    • Moment closure techniques for stochastic models in population biology
    • A. Singh and J. P. Hespanha, "Moment closure techniques for stochastic models in population biology," in Amer. Contr. Conf., 2006.
    • (2006) Amer. Contr. Conf
    • Singh, A.1    Hespanha, J.P.2
  • 51
    • 39549116456 scopus 로고    scopus 로고
    • J. P. Hespanha, StochDyr.Tools - a MATLAB toolbox to compute moment dynamics for stochastic networks of bio-chemical reactions. Available at http://www.ece.ucsb.edu/~hespanha, 2006.
    • J. P. Hespanha, "StochDyr.Tools - a MATLAB toolbox to compute moment dynamics for stochastic networks of bio-chemical reactions." Available at http://www.ece.ucsb.edu/~hespanha, 2006.
  • 52
    • 0016038059 scopus 로고
    • Dynamics of open chemical systems and algebraic structure of underlying reaction network
    • M. Feinberg and F. Horn, "Dynamics of open chemical systems and algebraic structure of underlying reaction network," Chemical Engineering Science, vol. 29, pp. 775-787, 1974.
    • (1974) Chemical Engineering Science , vol.29 , pp. 775-787
    • Feinberg, M.1    Horn, F.2
  • 53
    • 0015482771 scopus 로고
    • General mass action kinetics
    • F. Horn and R. Jackson, "General mass action kinetics," Arch. Rational Mech. Anal., vol. 49, pp. 81-116, 1972.
    • (1972) Arch. Rational Mech. Anal , vol.49 , pp. 81-116
    • Horn, F.1    Jackson, R.2
  • 54
    • 0023531427 scopus 로고
    • Chemical reaction network structure and the stability of complex isothermal reactors - i. the deficiency zero and deficiency one theorems
    • M. Feinberg, "Chemical reaction network structure and the stability of complex isothermal reactors - i. the deficiency zero and deficiency one theorems," Chemical Engr. Sci., vol. 42, pp. 2229-2268, 1987.
    • (1987) Chemical Engr. Sci , vol.42 , pp. 2229-2268
    • Feinberg, M.1
  • 55
    • 0001364051 scopus 로고
    • The existence and uniqueness of steady states for a class of chemical reaction networks
    • M. Feinberg, "The existence and uniqueness of steady states for a class of chemical reaction networks," Archive for Rational Mechanics and Analysts, vol. 132, pp. 311-370, 1995.
    • (1995) Archive for Rational Mechanics and Analysts , vol.132 , pp. 311-370
    • Feinberg, M.1
  • 56
    • 0034339065 scopus 로고    scopus 로고
    • Global stability of complex balanced mechanisms
    • D. Siegel and D. MacLean, "Global stability of complex balanced mechanisms," J. Math. Chem., vol. 27, no. 22, pp. 89-110, 2000.
    • (2000) J. Math. Chem , vol.27 , Issue.22 , pp. 89-110
    • Siegel, D.1    MacLean, D.2
  • 57
    • 0035390982 scopus 로고    scopus 로고
    • Structure and stability of certain chemical networks and applications to the kinetic proofreading model of T-cell receptor signal transduction
    • E. Sontag, "Structure and stability of certain chemical networks and applications to the kinetic proofreading model of T-cell receptor signal transduction," IEEE Trans. Automat. Control, vol. 46, no. 7, pp. 1028-1047, 2001.
    • (2001) IEEE Trans. Automat. Control , vol.46 , Issue.7 , pp. 1028-1047
    • Sontag, E.1
  • 58
    • 18144416056 scopus 로고    scopus 로고
    • State-estimators for chemical reaction networks of Feinberg-Horn-Jackson zero deficiency type
    • M. Chaves and E. Sontag, "State-estimators for chemical reaction networks of Feinberg-Horn-Jackson zero deficiency type," Eur. J. Control, vol. 8, pp. 343-359, 2002.
    • (2002) Eur. J. Control , vol.8 , pp. 343-359
    • Chaves, M.1    Sontag, E.2
  • 59
    • 0141608637 scopus 로고    scopus 로고
    • Monotonicity properties of chemical reactions with a single initial bimolecular step
    • H. Kunze and D. Siegel, "Monotonicity properties of chemical reactions with a single initial bimolecular step," J. Math. Chem., vol. 31, no. 6, pp. 339-344, 2002.
    • (2002) J. Math. Chem , vol.31 , Issue.6 , pp. 339-344
    • Kunze, H.1    Siegel, D.2
  • 60
    • 33644943581 scopus 로고    scopus 로고
    • Input-to-state stability of rate-controlled biochemical networks
    • M. Chaves, "Input-to-state stability of rate-controlled biochemical networks," SIAM J. Control Optim., vol. 44, no. 2, pp. 704-727, 2005.
    • (2005) SIAM J. Control Optim , vol.44 , Issue.2 , pp. 704-727
    • Chaves, M.1
  • 61
    • 27844475135 scopus 로고    scopus 로고
    • Multiple equilibria in complex chemical reaction networks: I. the injectivity property
    • G. Craciun and M. Feinberg, "Multiple equilibria in complex chemical reaction networks: I. the injectivity property," SIAM Journal on Applied Mathematics, vol. 65, pp. 1526-1546, 2005.
    • (2005) SIAM Journal on Applied Mathematics , vol.65 , pp. 1526-1546
    • Craciun, G.1    Feinberg, M.2
  • 62
    • 33745027709 scopus 로고    scopus 로고
    • Multiple equilibria in complex chemical reaction networks: II. the species-reactions graph
    • G. Craciun and M. Feinberg, "Multiple equilibria in complex chemical reaction networks: II. the species-reactions graph," SIAM J. Applied Math., vol. 66, pp. 1321-1338, 2006.
    • (2006) SIAM J. Applied Math , vol.66 , pp. 1321-1338
    • Craciun, G.1    Feinberg, M.2
  • 63
    • 33744744785 scopus 로고    scopus 로고
    • Understanding bistability in complex enzyme-driven reaction networks
    • G. Craciun, Y. Tang, and M. Feinberg, "Understanding bistability in complex enzyme-driven reaction networks," Proc. Natl Acad Sci. USA, vol. 103, no. 23, pp. 8697-8702, 2006.
    • (2006) Proc. Natl Acad Sci. USA , vol.103 , Issue.23 , pp. 8697-8702
    • Craciun, G.1    Tang, Y.2    Feinberg, M.3
  • 64
    • 33746586245 scopus 로고    scopus 로고
    • Multiple equilibria in complex chemical reaction networks: Extensions to entrapped species models
    • Jul
    • G. Craciun and M. Feinberg, "Multiple equilibria in complex chemical reaction networks: extensions to entrapped species models," IEE Proc. Syst. Biol., vol. 153, pp. 179-186, Jul 2006.
    • (2006) IEE Proc. Syst. Biol , vol.153 , pp. 179-186
    • Craciun, G.1    Feinberg, M.2
  • 65
    • 0000491652 scopus 로고
    • A Petri net application to model metabolic processes
    • R. Hofestädt, "A Petri net application to model metabolic processes," Syst. Anal. Mod. Simul., vol. 16, pp. 113-122, 1994.
    • (1994) Syst. Anal. Mod. Simul , vol.16 , pp. 113-122
    • Hofestädt, R.1
  • 66
    • 0345602990 scopus 로고    scopus 로고
    • I. Zevedei-Oancea and S. Schuster, Topological analysis of metabolic networks based on Petri net theory, In Silico Biol., 3, p. paper 29, 2003.
    • I. Zevedei-Oancea and S. Schuster, "Topological analysis of metabolic networks based on Petri net theory," In Silico Biol., vol. 3, p. paper 29, 2003.
  • 67
    • 84896689115 scopus 로고    scopus 로고
    • Executable Petri net models for the analysis of metabolic pathways
    • H. J. Genrich, R. Küffner, and K. Voss, "Executable Petri net models for the analysis of metabolic pathways.," STTT, vol. 3, no. 4, pp. 394-404, 2001.
    • (2001) STTT , vol.3 , Issue.4 , pp. 394-404
    • Genrich, H.J.1    Küffner, R.2    Voss, K.3
  • 68
    • 33746061326 scopus 로고    scopus 로고
    • From Petri nets to differential equations - an integrative approach for biochemical network analysis
    • D. Gilbert and M. Heiner, "From Petri nets to differential equations - an integrative approach for biochemical network analysis.," in ICATPN, pp. 181-200, 2006.
    • (2006) ICATPN , pp. 181-200
    • Gilbert, D.1    Heiner, M.2
  • 69
    • 34548532883 scopus 로고    scopus 로고
    • A Petri net approach to the study of persistence in chemical reaction networks
    • Preprint: arXiv q-bio.MN/068019v2, 10 Aug
    • D. Angeli, P. de Leenheer, and E. Sontag, "A Petri net approach to the study of persistence in chemical reaction networks," Mathematical Blosclences, 2007. Preprint: arXiv q-bio.MN/068019v2, 10 Aug 2006.
    • (2006) Mathematical Blosclences
    • Angeli, D.1    de Leenheer, P.2    Sontag, E.3
  • 70
    • 30844453401 scopus 로고    scopus 로고
    • Passivity gains and the "secant condition" for stability
    • E. Sontag, "Passivity gains and the "secant condition" for stability," Syst. & Contr. Lett., vol. 55, no. 3, pp. 177-183, 2006.
    • (2006) Syst. & Contr. Lett , vol.55 , Issue.3 , pp. 177-183
    • Sontag, E.1
  • 71
    • 33746059733 scopus 로고    scopus 로고
    • Diagonal stability for a class of cyclic systems and applications
    • M. Arcak and E. Sontag, "Diagonal stability for a class of cyclic systems and applications," Automatica, vol. 42, pp. 1531-1537, 2006.
    • (2006) Automatica , vol.42 , pp. 1531-1537
    • Arcak, M.1    Sontag, E.2
  • 72
    • 39549100520 scopus 로고    scopus 로고
    • A passivity-based stability criterion for a class of interconnected systems and applications to biochemical reaction networks
    • To appear. Preprint: arxiv0705.3188v1 [q-bio, May
    • M. Arcak and E. Sontag, "A passivity-based stability criterion for a class of interconnected systems and applications to biochemical reaction networks," Mathematical Blosclences and Engineering, 2007. To appear. Preprint: arxiv0705.3188v1 [q-bio], May 2007.
    • (2007) Mathematical Blosclences and Engineering
    • Arcak, M.1    Sontag, E.2
  • 73
    • 39549115378 scopus 로고    scopus 로고
    • A passivity-based approach to stability of spatially distributed systems with a cyclic interconnection structure
    • To appear, arXiv math.OC/0701622, 22 January
    • M. Jovanović, M. Arcak, and E. Sontag, "A passivity-based approach to stability of spatially distributed systems with a cyclic interconnection structure." To appear. Preprint: also arXiv math.OC/0701622, 22 January 2007., 2008.
    • (2007) Preprint: Also
    • Jovanović, M.1    Arcak, M.2    Sontag, E.3
  • 74
    • 10444264607 scopus 로고    scopus 로고
    • Some new directions in control theory inspired by systems biology
    • E. Sontag, "Some new directions in control theory inspired by systems biology," IET Systems Biology, vol. 1, pp. 9-18, 2004.
    • (2004) IET Systems Biology , vol.1 , pp. 9-18
    • Sontag, E.1
  • 75
    • 33645379893 scopus 로고    scopus 로고
    • Molecular systems biology and control
    • E. Sontag, "Molecular systems biology and control," Eur. J. Control, vol. 11, no. 4-5, pp. 396-435, 2005.
    • (2005) Eur. J. Control , vol.11 , Issue.4-5 , pp. 396-435
    • Sontag, E.1
  • 77
    • 4444294821 scopus 로고    scopus 로고
    • Interconnections of monotone systems with steady-state characteristics
    • Optimal control, stabilization and nonsmooth analysis, of, Berlin: Springer
    • D. Angeli and E. Sontag, "Interconnections of monotone systems with steady-state characteristics," in Optimal control, stabilization and nonsmooth analysis, vol. 301 of Lecture Notes in Control and Inform. Sci., pp. 135-154, Berlin: Springer, 2004.
    • (2004) Lecture Notes in Control and Inform. Sci , vol.301 , pp. 135-154
    • Angeli, D.1    Sontag, E.2
  • 78
    • 1542358791 scopus 로고    scopus 로고
    • Steady-states of receptor-ligand dynamics: A theoretical framework
    • M. Chaves, E. Sontag, and R. J. Dinerstein, "Steady-states of receptor-ligand dynamics: A theoretical framework," J. Theor. Biol., vol. 227, no. 3, pp. 413-428, 2004.
    • (2004) J. Theor. Biol , vol.227 , Issue.3 , pp. 413-428
    • Chaves, M.1    Sontag, E.2    Dinerstein, R.J.3
  • 79
    • 33947610151 scopus 로고    scopus 로고
    • Monotone chemical reaction networks
    • P. de Leenheer, D. Angeli, and E. Sontag, "Monotone chemical reaction networks," J. Math Chem., vol. 41, pp. 295-314, 2007.
    • (2007) J. Math Chem , vol.41 , pp. 295-314
    • de Leenheer, P.1    Angeli, D.2    Sontag, E.3
  • 80
    • 1242274449 scopus 로고    scopus 로고
    • Detection of multistability, bifurcations, and hysteresis in a large class of biological positivefeedback systems
    • February
    • D. Angeli, J. E. Ferrell, and E. Sontag, "Detection of multistability, bifurcations, and hysteresis in a large class of biological positivefeedback systems.," Proc. Natl Acad. Sci. USA, vol. 101, pp. 1822-1827, February 2004.
    • (2004) Proc. Natl Acad. Sci. USA , vol.101 , pp. 1822-1827
    • Angeli, D.1    Ferrell, J.E.2    Sontag, E.3
  • 81
    • 0242334021 scopus 로고    scopus 로고
    • Monotone control systems
    • D. Angeli and E. Sontag, "Monotone control systems," IEEE Trans. Automat. Control, vol. 48, no. 10, pp. 1684-1698, 2003.
    • (2003) IEEE Trans. Automat. Control , vol.48 , Issue.10 , pp. 1684-1698
    • Angeli, D.1    Sontag, E.2
  • 82
    • 3042853428 scopus 로고    scopus 로고
    • A small-gain theorem for almost global convergence of monotone systems
    • D. Angeli, P. de Leenheer, and E. Sontag, "A small-gain theorem for almost global convergence of monotone systems," Syst. & Contr. Lett., vol. 52, no. 5, pp. 407-414, 2004.
    • (2004) Syst. & Contr. Lett , vol.52 , Issue.5 , pp. 407-414
    • Angeli, D.1    de Leenheer, P.2    Sontag, E.3
  • 83
    • 33244478675 scopus 로고    scopus 로고
    • On predator-prey systems and small-gain theorems
    • P. de Leenheer, D. Angeli, and E. Sontag, "On predator-prey systems and small-gain theorems," Math. Btosci. Eng., vol. 2, no. 1, pp. 25-42, 2005.
    • (2005) Math. Btosci. Eng , vol.2 , Issue.1 , pp. 25-42
    • de Leenheer, P.1    Angeli, D.2    Sontag, E.3
  • 84
    • 11144226518 scopus 로고    scopus 로고
    • On the stability of a model of testosterone dynamics
    • G. Enciso and E. Sontag, "On the stability of a model of testosterone dynamics," J. Math. Biol., vol. 49, no. 6, pp. 627-634, 2004.
    • (2004) J. Math. Biol , vol.49 , Issue.6 , pp. 627-634
    • Enciso, G.1    Sontag, E.2
  • 85
    • 33644537705 scopus 로고    scopus 로고
    • Global attractivity, I/O monotone smallgain theorems, and biological delay systems
    • G. Enciso and E. Sontag, "Global attractivity, I/O monotone smallgain theorems, and biological delay systems," Discrete Contin. Dyn. Syst., vol. 14, no. 3, pp. 549-578, 2006.
    • (2006) Discrete Contin. Dyn. Syst , vol.14 , Issue.3 , pp. 549-578
    • Enciso, G.1    Sontag, E.2
  • 86
    • 33645940926 scopus 로고    scopus 로고
    • Non-monotone systems decomposable into monotone systems with negative feedback
    • G. Enciso, H. Smith, and E. Sontag, "Non-monotone systems decomposable into monotone systems with negative feedback," J. Diff. Equations, vol. 224, pp. 205-227, 2006.
    • (2006) J. Diff. Equations , vol.224 , pp. 205-227
    • Enciso, G.1    Smith, H.2    Sontag, E.3
  • 87
    • 34447125063 scopus 로고    scopus 로고
    • Algorithmic and complexity aspects of decompositions of biological networks into monotone subsystems
    • B. DasGupta, G. Enciso, E. Sontag, and Y. Zhang, "Algorithmic and complexity aspects of decompositions of biological networks into monotone subsystems," BioSystems, vol. 90, pp. 161-178, 2007.
    • (2007) BioSystems , vol.90 , pp. 161-178
    • DasGupta, B.1    Enciso, G.2    Sontag, E.3    Zhang, Y.4
  • 88
    • 1042288931 scopus 로고    scopus 로고
    • Multi-stability in monotone input/output systems
    • D. Angeli and E. Sontag, "Multi-stability in monotone input/output systems," Syst. & Contr. Lett., vol. 51, no. 3-4, pp. 185-202, 2004.
    • (2004) Syst. & Contr. Lett , vol.51 , Issue.3-4 , pp. 185-202
    • Angeli, D.1    Sontag, E.2
  • 89
    • 10444225481 scopus 로고    scopus 로고
    • Monotone systems under positive feedback: Multistability and a reduction theorem
    • G. Enciso and E. Sontag, "Monotone systems under positive feedback: multistability and a reduction theorem," Syst. & Contr. Lett., vol. 54, no. 2, pp. 159-168, 2005.
    • (2005) Syst. & Contr. Lett , vol.54 , Issue.2 , pp. 159-168
    • Enciso, G.1    Sontag, E.2
  • 91
    • 39549089862 scopus 로고    scopus 로고
    • Translation-invariant monotone systems, and a global convergence result for enzymatic futile cycles
    • To appear
    • D. Angeli and E. Sontag, "Translation-invariant monotone systems, and a global convergence result for enzymatic futile cycles," Nonlinear Analysis Series B: Real World Applications, 2007. To appear.
    • (2007) Nonlinear Analysis Series B: Real World Applications
    • Angeli, D.1    Sontag, E.2
  • 92
    • 34447288530 scopus 로고    scopus 로고
    • Oscillations in multi-stable monotone systems with slowly varying feedback
    • T. Gedeon and E. Sontag, "Oscillations in multi-stable monotone systems with slowly varying feedback," J. Diff. Equations, vol. 239, pp. 273-295, 2007.
    • (2007) J. Diff. Equations , vol.239 , pp. 273-295
    • Gedeon, T.1    Sontag, E.2
  • 93
    • 0036219106 scopus 로고    scopus 로고
    • Models of eukaryotic gradient sensing: Application to Chemotaxis of amoebae and neutrophils
    • A. Levchenko and P. A. Iglesias, "Models of eukaryotic gradient sensing: application to Chemotaxis of amoebae and neutrophils," Biophys. J., vol. 82, no. 1, pp. 50-63, 2002.
    • (2002) Biophys. J , vol.82 , Issue.1 , pp. 50-63
    • Levchenko, A.1    Iglesias, P.A.2
  • 94
    • 0037015118 scopus 로고    scopus 로고
    • Modeling the cell's guidance system
    • P. A. Iglesias and A. Levchenko, "Modeling the cell's guidance system," Sci STKE, vol. 2002, no. 148, p. RE12, 2002.
    • (2002) Sci STKE , vol.2002 , Issue.148
    • Iglesias, P.A.1    Levchenko, A.2
  • 95
    • 0037266984 scopus 로고    scopus 로고
    • Analysis of the signal transduction properties of a module of spatial sensing in eukaryotic Chemotaxis
    • Jan
    • J. Krishnan and P. A. Iglesias, "Analysis of the signal transduction properties of a module of spatial sensing in eukaryotic Chemotaxis," Bull. Math. Biol., vol. 65, pp. 95-128, Jan 2003.
    • (2003) Bull. Math. Biol , vol.65 , pp. 95-128
    • Krishnan, J.1    Iglesias, P.A.2
  • 96
    • 2642574089 scopus 로고    scopus 로고
    • A modeling framework describing the enzyme regulation of membrane lipids underlying gradient perception in Dictyostelium cells
    • Jul
    • J. Krishnan and P. A. Iglesias, "A modeling framework describing the enzyme regulation of membrane lipids underlying gradient perception in Dictyostelium cells," J. Theor. Biol., vol. 229, pp. 85-99, Jul 2004.
    • (2004) J. Theor. Biol , vol.229 , pp. 85-99
    • Krishnan, J.1    Iglesias, P.A.2
  • 97
    • 20344366927 scopus 로고    scopus 로고
    • Uncovering directional sensing: Where are we headed?
    • Jun
    • J. Krishnan and P. A. Iglesias, "Uncovering directional sensing: where are we headed?," IEE Syst. Biol., vol. 1, pp. 54-61, Jun 2004.
    • (2004) IEE Syst. Biol , vol.1 , pp. 54-61
    • Krishnan, J.1    Iglesias, P.A.2
  • 98
    • 20344369302 scopus 로고    scopus 로고
    • A modelling framework describing the enzyme regulation of membrane lipids underlying gradient perception in Dictyostelium cells II: Input-output analysis
    • Aug
    • J. Krishnan and P. A. Iglesias, "A modelling framework describing the enzyme regulation of membrane lipids underlying gradient perception in Dictyostelium cells II: input-output analysis," J. Theor. Biol., vol. 235, pp. 504-520, Aug 2005.
    • (2005) J. Theor. Biol , vol.235 , pp. 504-520
    • Krishnan, J.1    Iglesias, P.A.2
  • 99
    • 12344296412 scopus 로고    scopus 로고
    • Mathematical modeling of planar cell polarity to understand domineering nonautonomy
    • K. Amonlirdviman, N. A. Khare, D. R. P. Tree, W.-S. Chen, J. D. Axelrod, and C. J. Tomlin, "Mathematical modeling of planar cell polarity to understand domineering nonautonomy," Science, vol. 307, no. 5708, pp. 423-426, 2005.
    • (2005) Science , vol.307 , Issue.5708 , pp. 423-426
    • Amonlirdviman, K.1    Khare, N.A.2    Tree, D.R.P.3    Chen, W.-S.4    Axelrod, J.D.5    Tomlin, C.J.6
  • 100
    • 33750619877 scopus 로고    scopus 로고
    • Potential for control of signaling pathways via cell size and shape
    • J. Meyers, J. Craig, and D. J. Odde, "Potential for control of signaling pathways via cell size and shape," Curr Biol., vol. 16, no. 17, pp. 1685-1693, 2006.
    • (2006) Curr Biol , vol.16 , Issue.17 , pp. 1685-1693
    • Meyers, J.1    Craig, J.2    Odde, D.J.3
  • 101
    • 33846300352 scopus 로고    scopus 로고
    • Morpheus unbound: Reimagining the morphogen gradient
    • A. D. Lander, "Morpheus unbound: reimagining the morphogen gradient," Cell, vol. 128, no. 2, pp. 245-256, 2007.
    • (2007) Cell , vol.128 , Issue.2 , pp. 245-256
    • Lander, A.D.1
  • 102
    • 33846815127 scopus 로고    scopus 로고
    • Receptor-mediated and intrinsic polarization and their interaction in chemotaxing cells
    • Feb
    • J. Krishnan and P. A. Iglesias, "Receptor-mediated and intrinsic polarization and their interaction in chemotaxing cells," Biophys. J., vol. 92, pp. 816-830, Feb 2007.
    • (2007) Biophys. J , vol.92 , pp. 816-830
    • Krishnan, J.1    Iglesias, P.A.2
  • 104
    • 0242268448 scopus 로고    scopus 로고
    • Dynamic structures in Escherichia coli: Spontaneous formation of MinE rings and MinD polar zones
    • K. C. Huang, Y. Meir, and N. S. Wingreen, "Dynamic structures in Escherichia coli: spontaneous formation of MinE rings and MinD polar zones," Proc. Natl Acad. Sci. USA, vol. 100, no. 22, pp. 12724-12728, 2003.
    • (2003) Proc. Natl Acad. Sci. USA , vol.100 , Issue.22 , pp. 12724-12728
    • Huang, K.C.1    Meir, Y.2    Wingreen, N.S.3
  • 105
    • 20844455677 scopus 로고    scopus 로고
    • Spontaneous separation of bi-stable biochemical systems into spatial domains of opposite phases
    • J. Elf and M. Ehrenberg, "Spontaneous separation of bi-stable biochemical systems into spatial domains of opposite phases," Syst Biol (Stevenage), vol. 1, no. 2, pp. 230-236, 2004.
    • (2004) Syst Biol (Stevenage) , vol.1 , Issue.2 , pp. 230-236
    • Elf, J.1    Ehrenberg, M.2
  • 106
    • 33745591124 scopus 로고    scopus 로고
    • Noise-induced Min phenotypes in E. coli
    • D. Fange and J. Elf, "Noise-induced Min phenotypes in E. coli," PLoS Comput Biol., vol. 2, no. 6, p. e80, 2006.
    • (2006) PLoS Comput Biol , vol.2 , Issue.6
    • Fange, D.1    Elf, J.2
  • 107
    • 33344473476 scopus 로고    scopus 로고
    • Min-protein oscillations in Escherichia coltmth spontaneous formation of two-stranded fil-aments in a three-dimensional stochastic reaction-diffusion model
    • N. Pavin, H. C. Paljetak, and V. Krstic, "Min-protein oscillations in Escherichia coltmth spontaneous formation of two-stranded fil-aments in a three-dimensional stochastic reaction-diffusion model," Phys Rev E Stat Nonlin Soft Matter Phys, vol. 73, no. 2 R 1, p. 021904, 2006.
    • (2006) Phys Rev E Stat Nonlin Soft Matter Phys , vol.73 R 1 , Issue.2 , pp. 021904
    • Pavin, N.1    Paljetak, H.C.2    Krstic, V.3
  • 108
    • 33646243208 scopus 로고    scopus 로고
    • Changing cellular location of CheZ predicted by molecular simulations
    • K. Lipkow, "Changing cellular location of CheZ predicted by molecular simulations," PLoS Comput Biol., vol. 2, no. 4, p. e39, 2006.
    • (2006) PLoS Comput Biol , vol.2 , Issue.4
    • Lipkow, K.1
  • 109
    • 35448980907 scopus 로고    scopus 로고
    • Kinetics in spatially extended systems
    • Z. Szallasi, J. Stelling, and V. Periwal, eds, ch. 9, pp, Cambridge, MA: MIT Press
    • K. Kruse and J. Elf, "Kinetics in spatially extended systems," in System Modeling In Cellular Biology: From Concepts to Nuts and Bolts (Z. Szallasi, J. Stelling, and V. Periwal, eds.), ch. 9, pp. 177-198, Cambridge, MA: MIT Press, 2006.
    • (2006) System Modeling In Cellular Biology: From Concepts to Nuts and Bolts , pp. 177-198
    • Kruse, K.1    Elf, J.2
  • 110
    • 1342306067 scopus 로고    scopus 로고
    • Morphogens, their identification and regulation
    • T. Tabata and Y. Takei, "Morphogens, their identification and regulation," Development, vol. 131, no. 4, pp. 703-712, 2004.
    • (2004) Development , vol.131 , Issue.4 , pp. 703-712
    • Tabata, T.1    Takei, Y.2
  • 111
    • 34247236577 scopus 로고    scopus 로고
    • Biology by numbers: Mathematical modelling in developmental biology
    • C.J. Tomlin and J. D. Axelrod, "Biology by numbers: mathematical modelling in developmental biology," Nat Rev Genet, vol. 8, no. 5, pp. 331-340, 2007.
    • (2007) Nat Rev Genet , vol.8 , Issue.5 , pp. 331-340
    • Tomlin, C.J.1    Axelrod, J.D.2
  • 112
    • 34548232343 scopus 로고    scopus 로고
    • Coordination of chromosome alignment and mitotic progression by the chromosome-based Ran signal
    • H. Y. Li, W. P. Ng, C. H. Wong, P. A. Iglesias, and Y. Zheng, "Coordination of chromosome alignment and mitotic progression by the chromosome-based Ran signal," Cell Cycle, vol. 6, no. 15, pp. 1886-1895, 2007.
    • (2007) Cell Cycle , vol.6 , Issue.15 , pp. 1886-1895
    • Li, H.Y.1    Ng, W.P.2    Wong, C.H.3    Iglesias, P.A.4    Zheng, Y.5
  • 113
    • 33645452992 scopus 로고    scopus 로고
    • Analysis of a RanGTP-regulated gradient in mitotic somatic cells
    • P. Kalab, A. Pralle, E. Y. Isacoff, R. Heald, and K. Weis, "Analysis of a RanGTP-regulated gradient in mitotic somatic cells," Nature, vol. 440, no. 7084, pp. 697-701, 2006.
    • (2006) Nature , vol.440 , Issue.7084 , pp. 697-701
    • Kalab, P.1    Pralle, A.2    Isacoff, E.Y.3    Heald, R.4    Weis, K.5
  • 114
    • 25444517781 scopus 로고    scopus 로고
    • Ran-GTP regulates kinetochore attachment in somatic cells
    • A. Arnaoutov and M. Dasso, "Ran-GTP regulates kinetochore attachment in somatic cells," Cell Cycle, vol. 4, no. 9, pp. 1161-1165, 2005.
    • (2005) Cell Cycle , vol.4 , Issue.9 , pp. 1161-1165
    • Arnaoutov, A.1    Dasso, M.2
  • 115
    • 13944279881 scopus 로고    scopus 로고
    • The production and localization of GTPbound Ran in mitotic mammalian tissue culture cells
    • H.-Y. Li and Y. Zheng, "The production and localization of GTPbound Ran in mitotic mammalian tissue culture cells," Cell Cycle, vol. 3, no. 8, pp. 993-995, 2004.
    • (2004) Cell Cycle , vol.3 , Issue.8 , pp. 993-995
    • Li, H.-Y.1    Zheng, Y.2
  • 116
    • 2942687012 scopus 로고    scopus 로고
    • Chemoattractant-induced phosphatidylinositol 3,4,5-trisphosphate accumulation is spatially amplified and adapts, independent of the actin cytoskeleton
    • C. Janetopoulos, L. Ma, P. N. Devreotes, and P. A. Iglesias, "Chemoattractant-induced phosphatidylinositol 3,4,5-trisphosphate accumulation is spatially amplified and adapts, independent of the actin cytoskeleton," Proc. Natl Acad. Sci. USA, vol. 101, no. 24, pp. 8951-8956, 2004.
    • (2004) Proc. Natl Acad. Sci. USA , vol.101 , Issue.24 , pp. 8951-8956
    • Janetopoulos, C.1    Ma, L.2    Devreotes, P.N.3    Iglesias, P.A.4
  • 117
    • 10044250005 scopus 로고    scopus 로고
    • L. Ma, C. Janetopoulos, L. Yang, P. N. Devreotes, and P. A. Iglesias, Two complementary, local excitation, global inhibition mechanisms acting in parallel can explain the chemoattractantinduced regulation of PI(3,4,5)P3 response in Dictyostelium cells, Biophys. J., 87, no. 6, pp. 3764-3774, 2004.
    • L. Ma, C. Janetopoulos, L. Yang, P. N. Devreotes, and P. A. Iglesias, "Two complementary, local excitation, global inhibition mechanisms acting in parallel can explain the chemoattractantinduced regulation of PI(3,4,5)P3 response in Dictyostelium cells," Biophys. J., vol. 87, no. 6, pp. 3764-3774, 2004.
  • 119
    • 0037416225 scopus 로고    scopus 로고
    • Characterization of Ran-driven cargo transport and the RanGTPase system by kinetic measurements and computer simulation
    • D. Gorlich, M. J. Seewald, and K. Ribbeck, "Characterization of Ran-driven cargo transport and the RanGTPase system by kinetic measurements and computer simulation," EMBO J., vol. 22, no. 5, pp. 1088-1100, 2003.
    • (2003) EMBO J , vol.22 , Issue.5 , pp. 1088-1100
    • Gorlich, D.1    Seewald, M.J.2    Ribbeck, K.3
  • 120
    • 23944436962 scopus 로고    scopus 로고
    • Spatial coordination of spindle assembly by chromosome-mediated signaling gradients
    • M. Caudron, G. Bunt, P. Bastiaens, and E. Karsenti, "Spatial coordination of spindle assembly by chromosome-mediated signaling gradients," Science, vol. 309, no. 5739, pp. 1373-1376, 2005.
    • (2005) Science , vol.309 , Issue.5739 , pp. 1373-1376
    • Caudron, M.1    Bunt, G.2    Bastiaens, P.3    Karsenti, E.4
  • 121
    • 33644818405 scopus 로고    scopus 로고
    • Gradients in the self-organization of the mitotic spindle
    • P. Bastiaens, M. Caudron, P. Niethammer, and E. Karsenti, "Gradients in the self-organization of the mitotic spindle," Trends Cell Biol., vol. 16, no. 3, pp. 125-134, 2006.
    • (2006) Trends Cell Biol , vol.16 , Issue.3 , pp. 125-134
    • Bastiaens, P.1    Caudron, M.2    Niethammer, P.3    Karsenti, E.4
  • 122
    • 0032864252 scopus 로고    scopus 로고
    • Spatial gradients of cellular phospho-proteins
    • G. C. Brown and B. N. Kholodenko, "Spatial gradients of cellular phospho-proteins," FEBS Lett., vol. 457, no. 3, pp. 452-454, 1999.
    • (1999) FEBS Lett , vol.457 , Issue.3 , pp. 452-454
    • Brown, G.C.1    Kholodenko, B.N.2
  • 123
    • 33644524741 scopus 로고    scopus 로고
    • Cell-signalling dynamics in time and space
    • B. N. Kholodenko, "Cell-signalling dynamics in time and space," Nat Rev Mol. Cell Biol., vol. 7, no. 3, pp. 165-176, 2006.
    • (2006) Nat Rev Mol. Cell Biol , vol.7 , Issue.3 , pp. 165-176
    • Kholodenko, B.N.1
  • 124
    • 0034866573 scopus 로고    scopus 로고
    • A diffusion-translocation model for gradient sensing by chemotactic cells
    • M. Postma and P. J. Van Haastert, "A diffusion-translocation model for gradient sensing by chemotactic cells," Biophys. J., vol. 81, no. 3, pp. 1314-1323, 2001.
    • (2001) Biophys. J , vol.81 , Issue.3 , pp. 1314-1323
    • Postma, M.1    Van Haastert, P.J.2
  • 125
    • 0025069090 scopus 로고
    • The chemical basis of morphogenesis
    • A. M. Turing, "The chemical basis of morphogenesis.," Bull Math Biol., vol. 52, no. 1-2, pp. 153-197, 1990.
    • (1990) Bull Math Biol , vol.52 , Issue.1-2 , pp. 153-197
    • Turing, A.M.1
  • 126
    • 0015454185 scopus 로고
    • A theory of biological pattern formation
    • A. Gierer and H. Meinhardt, "A theory of biological pattern formation," Kybernetik, vol. 12, no. 1, pp. 30-39, 1972.
    • (1972) Kybernetik , vol.12 , Issue.1 , pp. 30-39
    • Gierer, A.1    Meinhardt, H.2
  • 130
    • 0033545988 scopus 로고    scopus 로고
    • Stripe formation in juvenile Pomacanthus explained by a generalized Turing mechanism with Chemotaxis
    • K. J. Painter, P. K. Maini, and H. G. Othmer, "Stripe formation in juvenile Pomacanthus explained by a generalized Turing mechanism with Chemotaxis," Proc. Natl Acad. Sci. USA, vol. 96, no. 10, pp. 5549-5554, 1999.
    • (1999) Proc. Natl Acad. Sci. USA , vol.96 , Issue.10 , pp. 5549-5554
    • Painter, K.J.1    Maini, P.K.2    Othmer, H.G.3
  • 131
    • 33646764616 scopus 로고    scopus 로고
    • Spontaneous polarization in eukaryotic gradient sensing: A mathematical model based on mutual inhibition of frontness and backness pathways
    • A. Narang, "Spontaneous polarization in eukaryotic gradient sensing: a mathematical model based on mutual inhibition of frontness and backness pathways," J. Theor. Biol., vol. 240, no. 4, pp. 538-553, 2006.
    • (2006) J. Theor. Biol , vol.240 , Issue.4 , pp. 538-553
    • Narang, A.1
  • 132
    • 0024980309 scopus 로고
    • Drosophila development: Making stripes inelegantly
    • M. Akam, "Drosophila development: making stripes inelegantly," Nature, vol. 341, no. 6240, pp. 282-283, 1989.
    • (1989) Nature , vol.341 , Issue.6240 , pp. 282-283
    • Akam, M.1
  • 133
    • 33845301220 scopus 로고    scopus 로고
    • WNT and DKK determine hair follicle spacing through a reaction-diffusion mechanism
    • S. Sick, S. Reinker, J. Timmer, and T. Schlake, "WNT and DKK determine hair follicle spacing through a reaction-diffusion mechanism," Science, vol. 314, no. 5804, pp. 1447-1450, 2006.
    • (2006) Science , vol.314 , Issue.5804 , pp. 1447-1450
    • Sick, S.1    Reinker, S.2    Timmer, J.3    Schlake, T.4
  • 134
    • 33845326442 scopus 로고    scopus 로고
    • Developmental biology. The Turing model comes of molecular age
    • P. K. Maini, R. E. Baker, and C.-M. Chuong, "Developmental biology. The Turing model comes of molecular age," Science, vol. 314, no. 5804, pp. 1397-1398, 2006.
    • (2006) Science , vol.314 , Issue.5804 , pp. 1397-1398
    • Maini, P.K.1    Baker, R.E.2    Chuong, C.-M.3
  • 135
    • 33745454125 scopus 로고    scopus 로고
    • Synthetic biology: New engineering rules for an emerging discipline
    • E. Andrianantoandro, S. Basu, D. K. Karig, and R. Weiss, "Synthetic biology: New engineering rules for an emerging discipline," Mol Syst. Biol., vol. 2, pp. 1-14, 2006.
    • (2006) Mol Syst. Biol , vol.2 , pp. 1-14
    • Andrianantoandro, E.1    Basu, S.2    Karig, D.K.3    Weiss, R.4
  • 137
    • 28544451327 scopus 로고    scopus 로고
    • Foundations for engineering biology
    • D. Endy, "Foundations for engineering biology," Nature, vol. 438, pp. 449-453, 2005.
    • (2005) Nature , vol.438 , pp. 449-453
    • Endy, D.1
  • 138
    • 0034212551 scopus 로고    scopus 로고
    • Engineering stability in gene networks by autoregulation
    • A. Becskei and L. Serrano, "Engineering stability in gene networks by autoregulation," Nature, vol. 405, pp. 590-593, 2000.
    • (2000) Nature , vol.405 , pp. 590-593
    • Becskei, A.1    Serrano, L.2
  • 139
    • 0038241770 scopus 로고    scopus 로고
    • Development of genetic circuitry exhibiting toggle switch or os-cillatory behavior in Escherichia coli
    • M. R. Atkinson, M. A. Savageau, J. T. Meyers, and A. J. Ninfa, "Development of genetic circuitry exhibiting toggle switch or os-cillatory behavior in Escherichia coli," Cell, vol. 113, pp. 597-607, 2003.
    • (2003) Cell , vol.113 , pp. 597-607
    • Atkinson, M.R.1    Savageau, M.A.2    Meyers, J.T.3    Ninfa, A.J.4
  • 141
    • 1542326219 scopus 로고    scopus 로고
    • Behaviors, latent variables, and interconnections
    • J. Willems, "Behaviors, latent variables, and interconnections, " Systems, Control and Information, vol. 43, pp. 453-464, 1999.
    • (1999) Systems, Control and Information , vol.43 , pp. 453-464
    • Willems, J.1
  • 142
    • 15744394108 scopus 로고    scopus 로고
    • Dissecting the puzzle of life: Modularization of signal transduction networks
    • J. Saez-Rodriguez, A. Kremling, and E. D. Gilles, "Dissecting the puzzle of life: modularization of signal transduction networks," Computers and Chemical Engineering, vol. 29, p. 619629, 2005.
    • (2005) Computers and Chemical Engineering , vol.29 , pp. 619629
    • Saez-Rodriguez, J.1    Kremling, A.2    Gilles, E.D.3
  • 144
    • 0032002347 scopus 로고    scopus 로고
    • Network theory for chemical processes
    • E. D. Gilles, "Network theory for chemical processes," Chemical Engineering & Technology, vol. 21, pp. 121-132, 1999.
    • (1999) Chemical Engineering & Technology , vol.21 , pp. 121-132
    • Gilles, E.D.1
  • 145
    • 73049167504 scopus 로고
    • Teleonomic mechanisms in cellular metabolism, growth, and differentiation
    • J. Monod and F. Jacob, "Teleonomic mechanisms in cellular metabolism, growth, and differentiation," in Cold Spring Harb. Symp. Quant. Biol 26, pp. 389-401, 1961.
    • (1961) Cold Spring Harb. Symp. Quant. Biol , vol.26 , pp. 389-401
    • Monod, J.1    Jacob, F.2
  • 149
    • 39849091914 scopus 로고    scopus 로고
    • Design and analysis of an activator-repressor clock in E. coli
    • D. Del Vecchio, "Design and analysis of an activator-repressor clock in E. coli',' in Amer. Contr. Conf, pp. 1589-1594, 2007.
    • (2007) Amer. Contr. Conf , pp. 1589-1594
    • Del Vecchio, D.1
  • 151
    • 0002703577 scopus 로고
    • Existence of periodic solutions for negative feedback cellular systems
    • S. Hastings, J. Tyson, and D. Webster, "Existence of periodic solutions for negative feedback cellular systems," J. of Differential Equations, vol. 25, pp. 39-64, 1977.
    • (1977) J. of Differential Equations , vol.25 , pp. 39-64
    • Hastings, S.1    Tyson, J.2    Webster, D.3
  • 152
    • 0001051330 scopus 로고
    • The Poincaré-Bendixson theorem for monotone cyclic feedback systems
    • J. Mallet-Paret and H. Smith, "The Poincaré-Bendixson theorem for monotone cyclic feedback systems," J. Dynamics and Diff. Equations., vol. 2, pp. 367-421, 1990.
    • (1990) J. Dynamics and Diff. Equations , vol.2 , pp. 367-421
    • Mallet-Paret, J.1    Smith, H.2
  • 153
    • 23944496193 scopus 로고    scopus 로고
    • Repressilators and promotilators: Loop dynamics in synthetic gene networks
    • H. El Samad, D. Del Vecchio, and M. Khammash, "Repressilators and promotilators: Loop dynamics in synthetic gene networks," in Amer. Contr. Conf, pp. 4405-4410, 2005.
    • (2005) Amer. Contr. Conf , pp. 4405-4410
    • El Samad, H.1    Del Vecchio, D.2    Khammash, M.3
  • 154
    • 39549123165 scopus 로고    scopus 로고
    • Modules and retroactivity: Theoretical framework, analysis, and design
    • Long Beach
    • D. Del Vecchio, A. J. Ninfa, and E. D. Sontag, "Modules and retroactivity: Theoretical framework, analysis, and design," in Intl Conf. Syst. Biol., (Long Beach), 2007.
    • (2007) Intl Conf. Syst. Biol
    • Del Vecchio, D.1    Ninfa, A.J.2    Sontag, E.D.3
  • 156
    • 3042810110 scopus 로고    scopus 로고
    • A genetic circuit amplifier: Design and simulation
    • G. D. Rubertis and S. W. Davies, "A genetic circuit amplifier: Design and simulation," IEEE Trans. on Nanoblosclence, vol. 2, pp. 239-246, 2003.
    • (2003) IEEE Trans. on Nanoblosclence , vol.2 , pp. 239-246
    • Rubertis, G.D.1    Davies, S.W.2


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