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Volumn 4416 LNCS, Issue , 2007, Pages 76-89

MARCO: A reachability algorithm for multi-affine systems with applications to biological systems

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BIOLOGICAL SYSTEMS; MATHEMATICAL MODELS;

EID: 38049139484     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-71493-4_9     Document Type: Conference Paper
Times cited : (13)

References (16)
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    • Las Vegas, NV
    • Belta, C., Habets, L., Kumar, V.: Control of multi-affine systems on rectangles with applications to hybrid biomolecular networks. In: 41st IEEE Conference on Decision and Control, Las Vegas, NV (2002)
    • (2002) 41st IEEE Conference on Decision and Control
    • Belta, C.1    Habets, L.2    Kumar, V.3
  • 2
    • 33745787278 scopus 로고    scopus 로고
    • Reachability analysis of multi-affine systems
    • Hespanha, J.P, Tiwari, A, eds, Proc. 9th Int'l Workshop on Hybrid Systems: Computation and Control HSCC, of
    • Kloetzer, M., Belta, C: Reachability analysis of multi-affine systems. In Hespanha, J.P., Tiwari, A., eds.: Proc. 9th Int'l Workshop on Hybrid Systems: Computation and Control (HSCC). Volume 3927 of LNCS. (2006) 348-362
    • (2006) LNCS , vol.3927 , pp. 348-362
    • Kloetzer, M.1    Belta, C.2
  • 3
    • 38049177385 scopus 로고    scopus 로고
    • Halasz, A.M., Kumar, V., Imielinski, M., Belta, C., Sokolsky, O., Pathak, S., Rubin, H.: Analysis of lactose metabolism in E.coli using reachability analysis of hybrid systems. (Accepted to IET Systems Biology 2006; available at http://www.seas.upenn.edu/~spring)
    • Halasz, A.M., Kumar, V., Imielinski, M., Belta, C., Sokolsky, O., Pathak, S., Rubin, H.: Analysis of lactose metabolism in E.coli using reachability analysis of hybrid systems. (Accepted to IET Systems Biology 2006; available at http://www.seas.upenn.edu/~spring)
  • 4
    • 0037195899 scopus 로고    scopus 로고
    • Information flow, opinion polling and collective intelligence in house-hunting social insects
    • Franks, N., Pratt, S., Mallon, E., Britton, N., Sumpter, D.: Information flow, opinion polling and collective intelligence in house-hunting social insects. Phil Trans Roy Soc London B (357) (2002) 1567-1584
    • (2002) Phil Trans Roy Soc London B , vol.357 , pp. 1567-1584
    • Franks, N.1    Pratt, S.2    Mallon, E.3    Britton, N.4    Sumpter, D.5
  • 5
    • 1542335822 scopus 로고    scopus 로고
    • Influence of catabolite repression and inducer exclusion on the bistable behavior of the lac operon
    • Santillan, M., Mackey, M.C.: Influence of catabolite repression and inducer exclusion on the bistable behavior of the lac operon. Biophys. J. 86 (2004) 1282-1292
    • (2004) Biophys. J , vol.86 , pp. 1282-1292
    • Santillan, M.1    Mackey, M.C.2
  • 7
    • 0004211673 scopus 로고    scopus 로고
    • Cold Spring Harbor Laboratory Press, New York
    • Ptashne, M., Gann, A.: Genes and Signals. Cold Spring Harbor Laboratory Press, New York (2002)
    • (2002) Genes and Signals
    • Ptashne, M.1    Gann, A.2
  • 8
    • 38049153045 scopus 로고    scopus 로고
    • Algorithms for the analysis and synthesis of a bio-inspired swarm robotic system
    • Swarm Robotics SAB 2006 International Workshop, Rome, Italy () to appear in
    • Berman, S., Halasz, A., Kumar, V., Pratt, S.: Algorithms for the analysis and synthesis of a bio-inspired swarm robotic system. In: Swarm Robotics SAB 2006 International Workshop, Rome, Italy (2006) to appear in LNCS.
    • (2006) LNCS
    • Berman, S.1    Halasz, A.2    Kumar, V.3    Pratt, S.4
  • 9
    • 84957870468 scopus 로고    scopus 로고
    • Reachability analysis via face lifting
    • Henzinger, T, Sastry, S, eds, Hybrid Systems, Computation and Control. of, Berlin
    • Dang, T., Maler, O.: Reachability analysis via face lifting. In Henzinger, T., Sastry, S., eds.: Hybrid Systems : Computation and Control. Volume 1386 of Lecture Notes in Computer Science. Springer Verlag, Berlin (1998) 96-109
    • (1998) Lecture Notes in Computer Science. Springer Verlag , vol.1386 , pp. 96-109
    • Dang, T.1    Maler, O.2
  • 12
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    • A new class of decidable hybrid systems
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    • A control problem for affine dynamical systems on a full-dimensional polytope
    • Habets, L., van Schuppen, J.: A control problem for affine dynamical systems on a full-dimensional polytope. Automatica 40 (2004) 21-35
    • (2004) Automatica , vol.40 , pp. 21-35
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  • 14
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    • PHAVer: Algorithmic verification of hybrid systems past HyTech
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    • Frehse, G.: PHAVer: Algorithmic verification of hybrid systems past HyTech. In Morari, M., Thiele, L., eds.: Proc. 5th Int'l Workshop on Hybrid Systems: Computation and Control (HSCC). Volume 3414 of LNCS. (2005) 258-273
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    • Frehse, G.1


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