메뉴 건너뛰기




Volumn 44, Issue 1 PART 1, 2011, Pages 14869-14875

Abstraction of biochemical reaction systems on polytopes

Author keywords

Abstraction; Affine system; Multi affine system; Piecewise affine hybrid system; Polytope

Indexed keywords

ABSTRACTING; HYBRID SYSTEMS; ROBOTS;

EID: 84866764685     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20110828-6-IT-1002.03317     Document Type: Conference Paper
Times cited : (13)

References (31)
  • 1
    • 84974731232 scopus 로고    scopus 로고
    • Approximate reachability analysis of piecewise-linear dynamical systems
    • vol 1790 of Lecture Notes in Computer Science. Springer-Verlag, Berlin
    • E. Asarin, O. Bournez, T. Dang, and O. Maler. Approximate reachability analysis of piecewise-linear dynamical systems. In Hybrid Systems: Computation and Control, vol. 1790 of Lecture Notes in Computer Science, pages 20-31. Springer-Verlag, Berlin, 2000.
    • (2000) Hybrid Systems: Computation and Control , pp. 20-31
    • Asarin, E.1    Bournez, O.2    Dang, T.3    Maler, O.4
  • 5
    • 77953876554 scopus 로고    scopus 로고
    • High-performance analysis of biological systems dynamics with the DiVinE model checker
    • J. Barnat, L. Brim and D. Šafránek. High-Performance Analysis of Biological Systems Dynamics with the DiVinE Model Checker. Briefings in Bioinformatics 11(3):301-312, 2010.
    • (2010) Briefings in Bioinformatics , vol.11 , Issue.3 , pp. 301-312
    • Barnat, J.1    Brim, L.2    Šafránek, D.3
  • 6
    • 79951798740 scopus 로고    scopus 로고
    • Parameter scanning by parallel model checking with applications in systems biology
    • IEEE Computer Society
    • J. Barnat, L. Brim, D. Šafránek, and M. Vejnar. Parameter Scanning by Parallel Model Checking with Applications in Systems Biology. In Proc. PDMC/HIBI 2010, pages 95-104, IEEE Computer Society, 2010.
    • (2010) Proc. PDMC/HIBI 2010 , pp. 95-104
    • Barnat, J.1    Brim, L.2    Šafránek, D.3    Vejnar, M.4
  • 7
    • 34548747486 scopus 로고    scopus 로고
    • Robustness analysis and tuning of synthetic gene networks
    • G. Batt, B. Yordanov, R. Weiss, and C. Belta. Robustness analysis and tuning of synthetic gene networks. Bioinformatics 23:2415-2422, 2007.
    • (2007) Bioinformatics , vol.23 , pp. 2415-2422
    • Batt, G.1    Yordanov, B.2    Weiss, R.3    Belta, C.4
  • 9
    • 14344257460 scopus 로고    scopus 로고
    • Constructing decidable hybrid systems with velocity bounds
    • New York, IEEE Press
    • C. Belta and L.C.G.J.M. Habets. Constructing decidable hybrid systems with velocity bounds. In Proc. 43th IEEE Conf. on Decision and Control, pages 467-472, New York, 2004. IEEE Press.
    • (2004) Proc. 43th IEEE Conf. on Decision and Control , pp. 467-472
    • Belta, C.1    Habets, L.C.G.J.M.2
  • 10
    • 37149035291 scopus 로고    scopus 로고
    • Controlling a class of nonlinear systems on rectangles
    • C. Belta and L.C.G.J.M. Habets. Controlling a class of nonlinear systems on rectangles. IEEE Trans. Automatic Control, 51:1749-1759, 2006.
    • (2006) IEEE Trans. Automatic Control , vol.51 , pp. 1749-1759
    • Belta, C.1    Habets, L.C.G.J.M.2
  • 11
    • 0036990669 scopus 로고    scopus 로고
    • Control of multi-affine systems on rectangles with applications to hybrid biomolecular networks
    • New York, IEEE Press
    • C. Belta, L.C.G.J.M. Habets, and V. Kumar. Control of multi-affine systems on rectangles with applications to hybrid biomolecular networks. In Proc. 41th IEEE Conf. on Decision and Control, pages 534-539, New York, 2002. IEEE Press.
    • (2002) Proc. 41th IEEE Conf. on Decision and Control , pp. 534-539
    • Belta, C.1    Habets, L.C.G.J.M.2    Kumar, V.3
  • 13
    • 33747877324 scopus 로고    scopus 로고
    • BIOCHAM: An environment for modeling biological systems and formalizing experimental knowledge
    • L. Calzone, F. Fages, and S. Soliman. BIOCHAM: an environment for modeling biological systems and formalizing experimental knowledge. Bioinformatics, 22:1805-1807, 2006.
    • (2006) Bioinformatics , vol.22 , pp. 1805-1807
    • Calzone, L.1    Fages, F.2    Soliman, S.3
  • 15
    • 0007059370 scopus 로고    scopus 로고
    • Asymptotic behavior of dynamical and control systems under perturbation and discretization
    • Springer-Verlag, Berlin
    • L. Grüne. Asymptotic behavior of dynamical and control systems under perturbation and discretization. Lecture Notes in Mathematics, vol. 1783, Springer-Verlag, Berlin, 2002.
    • (2002) Lecture Notes in Mathematics , vol.1783
    • Grüne, L.1
  • 16
    • 0242523712 scopus 로고    scopus 로고
    • A control problem for affine dynamical systems on a full-dimensional polytope
    • L.C.G.J.M. Habets and J.H. van Schuppen. A control problem for affine dynamical systems on a full-dimensional polytope. Automatica, 40:21-35, 2004.
    • (2004) Automatica , vol.40 , pp. 21-35
    • Habets, L.C.G.J.M.1    Van Schuppen, J.H.2
  • 17
    • 33745700843 scopus 로고    scopus 로고
    • Reachability and control synthesis for piecewise-affine hybrid systems on simplices
    • L.C.G.J.M. Habets, P.J. Collins, and J.H. van Schuppen. Reachability and control synthesis for piecewise-affine hybrid systems on simplices. IEEE Trans. Automatic Control, 51:938-948, 2006a.
    • (2006) IEEE Trans. Automatic Control , vol.51 , pp. 938-948
    • Habets, L.C.G.J.M.1    Collins, P.J.2    Van Schuppen, J.H.3
  • 20
    • 0345269975 scopus 로고    scopus 로고
    • Genetic network analyzer: Qualitative simulation of genetic regulatory networks
    • H. De Jong, J. Geiselmann, C. Hernandez, and M. Page. Genetic network analyzer: Qualitative simulation of genetic regulatory networks. Bioinformatics, 19:336-344, 2003.
    • (2003) Bioinformatics , vol.19 , pp. 336-344
    • De Jong, H.1    Geiselmann, J.2    Hernandez, C.3    Page, M.4
  • 21
    • 1242345225 scopus 로고    scopus 로고
    • Qualitative simulation of the initiation of sporulation in bacillus subtilis
    • H. De Jong, J. Geiselmann, G. Batt, C. Hernandez, and M. Page. Qualitative simulation of the initiation of sporulation in bacillus subtilis. Bull. Math. Biology, 66:261-300, 2004a.
    • (2004) Bull. Math. Biology , vol.66 , pp. 261-300
    • De Jong, H.1    Geiselmann, J.2    Batt, G.3    Hernandez, C.4    Page, M.5
  • 23
    • 78149251525 scopus 로고    scopus 로고
    • A fully automated framework for control of linear systems from temporal logic specifications
    • M. Kloetzer and C. Belta. A fully automated framework for control of linear systems from temporal logic specifications. IEEE Trans. Automatic Control, 53:287-297, 2008.
    • (2008) IEEE Trans. Automatic Control , vol.53 , pp. 287-297
    • Kloetzer, M.1    Belta, C.2
  • 26
    • 70449520064 scopus 로고    scopus 로고
    • Modelling nitrogen assimilation of Escherichia coli at low ammonium concentration
    • H. Ma, F. Boogerd and I. Goryanin. Modelling nitrogen assimilation of Escherichia coli at low ammonium concentration. Journal of Biotechnology, 144:175-183, 2009.
    • (2009) Journal of Biotechnology , vol.144 , pp. 175-183
    • Ma, H.1    Boogerd, F.2    Goryanin, I.3
  • 27
    • 49549083532 scopus 로고    scopus 로고
    • Temporal logic patterns for querying dynamic models of cellular interaction networks
    • P.T. Monteiro, D. Ropers, R. Mateescu, A.T. Freitas, and H. de Jong. Temporal logic patterns for querying dynamic models of cellular interaction networks. Bioinformatics, 24:227-233, 2008.
    • (2008) Bioinformatics , vol.24 , pp. 227-233
    • Monteiro, P.T.1    Ropers, D.2    Mateescu, R.3    Freitas, A.T.4    De Jong, H.5
  • 28
    • 85016685426 scopus 로고    scopus 로고
    • Safety verification of hybrid systems by constraint propagation based abstraction refinement
    • S. Ratschan and Z. She. Safety verification of hybrid systems by constraint propagation based abstraction refinement. ACM Trans. Embedded Computing Systems, 6(1), 2007.
    • (2007) ACM Trans. Embedded Computing Systems , vol.6 , pp. 1
    • Ratschan, S.1    She, Z.2
  • 29
    • 57049127120 scopus 로고    scopus 로고
    • On a continuous degree of satisfaction of temporal logic formulae with applications to systems biology
    • volume 5307 of Lecture Notes in Computer Science, Springer-Verlag, Berlin
    • A. Rizk, G. Batt, F. Fages and S. Soliman. On a continuous degree of satisfaction of temporal logic formulae with applications to systems biology. In Proc. CMSB 2008, volume 5307 of Lecture Notes in Computer Science, pages 251-268. Springer-Verlag, Berlin, 2008.
    • (2008) Proc. CMSB 2008 , pp. 251-268
    • Rizk, A.1    Batt, G.2    Fages, F.3    Soliman, S.4
  • 30
    • 84866774929 scopus 로고    scopus 로고
    • Model reduction and the dynamics of the global regulatory network controlling the carbon starvation response in escherichia coli
    • D. Ropers, V. Baldazzi, and H. de Jong. Model reduction and the dynamics of the global regulatory network controlling the carbon starvation response in escherichia coli. Report, INRIA Rhône-Alpes, Mont Bonnot, 2008.
    • (2008) Report, INRIA Rhône-Alpes, Mont Bonnot
    • Ropers, D.1    Baldazzi, V.2    De Jong, H.3
  • 31
    • 84947903771 scopus 로고    scopus 로고
    • Comparing timed and hybrid automata as approximations of continuous systems
    • volume 1273 of Lecture Notes in Computer Science, Springer-Verlag, Berlin
    • O. Stursberg, S. Kowalewski, I. Hoffmann, and J. Preußig. Comparing timed and hybrid automata as approximations of continuous systems. In Hybrid Systems IV, volume 1273 of Lecture Notes in Computer Science, pages 361- 377. Springer-Verlag, Berlin, 1997.
    • (1997) Hybrid Systems , vol.4 , pp. 361-377
    • Stursberg, O.1    Kowalewski, S.2    Hoffmann, I.3    Preußig, J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.