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Volumn 5147 LNCS, Issue , 2008, Pages 56-64

Applying a rigorous quasi-steady state approximation method for proving the absence of oscillations in models of genetic circuits

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); BOOLEAN ALGEBRA; CHEMICAL REACTIONS; HOPF BIFURCATION; MATRIX ALGEBRA; MOTION ESTIMATION; POLYMERS; POLYNOMIAL APPROXIMATION; SIGNAL FILTERING AND PREDICTION;

EID: 52949124116     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-85101-1_5     Document Type: Conference Paper
Times cited : (19)

References (24)
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    • Boulier, F., Lefranc, M., Lemaire. F., Morant, P.E., Ürgü plü, A.: On proving the absence of oscillations in models of genetic circuits. In: Anai, H., Horimoto, K., Kutsia, T. (eds.) Ab 2007. LNCS, 4545, pp. 66-80. Springer, Heidelberg (2007), http://hal.archives-ouvertes.fr/ hal-00139667
    • Boulier, F., Lefranc, M., Lemaire. F., Morant, P.E., Ürgü plü, A.: On proving the absence of oscillations in models of genetic circuits. In: Anai, H., Horimoto, K., Kutsia, T. (eds.) Ab 2007. LNCS, vol. 4545, pp. 66-80. Springer, Heidelberg (2007), http://hal.archives-ouvertes.fr/ hal-00139667
  • 5
    • 0014319313 scopus 로고
    • Mathematics of Cellular Control Processes. I. Negative Feedback to One Gene
    • Griffith, J.S.: Mathematics of Cellular Control Processes. I. Negative Feedback to One Gene. Journal of Theoretical Biology 20, 202-208 (1968)
    • (1968) Journal of Theoretical Biology , vol.20 , pp. 202-208
    • Griffith, J.S.1
  • 7
    • 0011924251 scopus 로고    scopus 로고
    • Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students
    • SIAM, Philadelphia
    • Ermentrout, B.: Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students. Software, Environments, and Tools, vol. 14. SIAM, Philadelphia (2002)
    • (2002) Software, Environments, and Tools , vol.14
    • Ermentrout, B.1
  • 8
    • 52949112270 scopus 로고    scopus 로고
    • Modeling Molecular Interaction Networks with Nonlinear Differential Equations
    • Szallasi, Z, Stelling, J, Periwal, V, eds, The MIT Press, Cambridge
    • Conrad. E.D., Tyson, J.J.: Modeling Molecular Interaction Networks with Nonlinear Differential Equations. In: Szallasi, Z., Stelling, J., Periwal, V. (eds.) System Modeling in Cell Biology: From Concepts to Nuts and Bolts, pp. 97-124. The MIT Press, Cambridge (2006)
    • (2006) System Modeling in Cell Biology: From Concepts to Nuts and Bolts , pp. 97-124
    • Conrad, E.D.1    Tyson, J.J.2
  • 9
    • 0026364973 scopus 로고
    • Reduced order dynamical modelling of reaction systems: A singular perturbation approach
    • Brighton, England, pp, December
    • Van Breusegem, V., Bastin, G.: Reduced order dynamical modelling of reaction systems: a singular perturbation approach. In: Proceedings of the 30th IEEE Conference on Decision and Control, Brighton, England, pp. 1049-1054 (December 1991)
    • (1991) Proceedings of the 30th IEEE Conference on Decision and Control , pp. 1049-1054
    • Van Breusegem, V.1    Bastin, G.2
  • 10
    • 0032025439 scopus 로고    scopus 로고
    • Simplification of Mathematical Models of Chemical Reaction Systems
    • Okino, M.S., Mavrovouniotis, M.L.: Simplification of Mathematical Models of Chemical Reaction Systems. Chemical Reviews 98(2), 391-408 (1998)
    • (1998) Chemical Reviews , vol.98 , Issue.2 , pp. 391-408
    • Okino, M.S.1    Mavrovouniotis, M.L.2
  • 11
    • 0005541614 scopus 로고    scopus 로고
    • Nonlinear model reduction of chemical reaction systems
    • Vora, N., Daoutidis, P.: Nonlinear model reduction of chemical reaction systems. AIChE Journal 47(10), 2320-2332 (2001)
    • (2001) AIChE Journal , vol.47 , Issue.10 , pp. 2320-2332
    • Vora, N.1    Daoutidis, P.2
  • 14
    • 0004119251 scopus 로고
    • Dover Publications Inc. New York , online.bks/coll33
    • Ritt, J.F.: Differential Algebra. Dover Publications Inc. New York (1950). http://www.ams.org/online.bks/coll33
    • (1950) Differential Algebra
    • Ritt, J.F.1
  • 19
    • 52949119919 scopus 로고    scopus 로고
    • Lemaire, F., Moreno Maza, M., Xie, Y.: The RegularChains library in MAPLE 10. In: Kotsireas, I.S. (ed.) The MAPLE conference, pp. 355-368 (2005)
    • Lemaire, F., Moreno Maza, M., Xie, Y.: The RegularChains library in MAPLE 10. In: Kotsireas, I.S. (ed.) The MAPLE conference, pp. 355-368 (2005)
  • 23
    • 52949148959 scopus 로고    scopus 로고
    • Boulier, F., Lazard, D., Ollivier, F., Petitot, M.: Computing representations for radicals of finitely generated differential ideals. Technical report, Université Lille I, LIFL, 59655, Villeneuve d'Ascq, France (1997): Ref. IT306. December 1998 version published in the HDR memoir of Michel Petitot, http://hal.archives-ouvertes.fr/hal-00139061
    • Boulier, F., Lazard, D., Ollivier, F., Petitot, M.: Computing representations for radicals of finitely generated differential ideals. Technical report, Université Lille I, LIFL, 59655, Villeneuve d'Ascq, France (1997): Ref. IT306. December 1998 version published in the HDR memoir of Michel Petitot, http://hal.archives-ouvertes.fr/hal-00139061
  • 24
    • 33845459947 scopus 로고    scopus 로고
    • Qualitative Approaches to the Analysis of Genetic Regulatory Networks
    • Szallasi, Z, Stelling, J, Periwal, V, eds, The MIT Press, Cambridge
    • de Jong, H., Ropers, D.: Qualitative Approaches to the Analysis of Genetic Regulatory Networks. In: Szallasi, Z., Stelling, J., Periwal, V. (eds.) System Modeling in Cell Biology: From Concepts to Nuts and Bolts, pp. 125-147. The MIT Press, Cambridge (2006)
    • (2006) System Modeling in Cell Biology: From Concepts to Nuts and Bolts , pp. 125-147
    • de Jong, H.1    Ropers, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.