메뉴 건너뛰기




Volumn 412, Issue 26, 2011, Pages 2854-2883

CTRL: Extension of CTL with regular expressions and fairness operators to verify genetic regulatory networks

Author keywords

Genetic regulatory networks; Model checking; Systems biology; Temporal logic; Verification

Indexed keywords

ANALYSIS TECHNIQUES; CARBON STARVATION; COMPUTATION TREES; CONCURRENT SYSTEMS; FAIRNESS PROPERTIES; GENETIC REGULATORY NETWORKS; HENNESSY-MILNER LOGICS; MODEL CHECKER; MULTISTABILITY; ON-THE-FLY; OSCILLATION PROPERTY; RECURSIONS; REGULAR EXPRESSIONS; SYSTEMS BIOLOGY; TEMPORAL OPERATORS;

EID: 79955717048     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tcs.2010.05.009     Document Type: Conference Paper
Times cited : (18)

References (87)
  • 1
    • 79955738883 scopus 로고    scopus 로고
    • Parametric analysis and abstraction of genetic regulatory networks
    • BioCONCUR 2004, London, UK
    • M. Adlade, G. Sutre, Parametric analysis and abstraction of genetic regulatory networks, in: Proc. 2nd Workshop on Concurrent Models in Molecular Biology, BioCONCUR 2004, London, UK, 2004.
    • (2004) Proc. 2nd Workshop on Concurrent Models in Molecular Biology
    • Adélade, M.1
  • 3
    • 33644671996 scopus 로고    scopus 로고
    • Counterexample-guided predicate abstraction of hybrid systems
    • DOI 10.1016/j.tcs.2005.11.026, PII S0304397505008662, Tool and Algorithms for the Construction and Analysis of Systems (TACAS 2003)
    • R. Alur, T. Dang, and F. Ivani Counter-example guided predicate abstraction of hybrid systems Theoret. Comput. Sci. 354 2 2006 250 271 (Pubitemid 43333210)
    • (2006) Theoretical Computer Science , vol.354 , Issue.2 , pp. 250-271
    • Alur, R.1    Dang, T.2    Ivancic, F.3
  • 5
    • 0142037521 scopus 로고    scopus 로고
    • Model building and model checking for biochemical processes
    • DOI 10.1385/CBB:38:3:271
    • M. Antoniotti, A. Policriti, N. Ugel, and B. Mishra Model building and model checking for biochemical processes Cell Bioch. Biophys. 38 3 2003 271 286 (Pubitemid 41270809)
    • (2003) Cell Biochemistry and Biophysics , vol.38 , Issue.3 , pp. 271-286
    • Antoniotti, M.1    Policriti, A.2    Ugel, N.3    Mishra, B.4
  • 8
    • 38649105148 scopus 로고    scopus 로고
    • Parallel model checking large-scale genetic regulatory networks with DiVinE
    • ENTCS
    • J. Barnat, L. Brim, I. Cern, S. Drazan, D. Safranek, Parallel model checking large-scale genetic regulatory networks with DiVinE, in: From Biology to Concurrency and Back, FBTC 2007. ENTCS, vol. 194, 2008.
    • (2008) From Biology to Concurrency and Back, FBTC 2007 , vol.194
    • Barnat, J.1
  • 9
    • 84944202148 scopus 로고    scopus 로고
    • Rule-Based Runtime Verification
    • Verification, Model Checking, and Abstract Interpretation
    • H. Barringer, A. Goldberg, K. Havelund, and K. Sen Rule-based runtime verification B. Steffen, G. Levi, Proc. 5th Intl. Conf. on Verification, Model Checking, and Abstract Interpretation VMCAI 2004 LNCS vol. 2937 2004 Springer Verlag 44 57 (Pubitemid 38131366)
    • (2003) Lecture Notes in Computer Science , Issue.2937 , pp. 44-57
    • Barringer, H.1    Goldberg, A.2    Havelund, K.3    Sen, K.4
  • 11
    • 41149105962 scopus 로고    scopus 로고
    • Symbolic reachability analysis of genetic regulatory networks using discrete abstractions
    • G. Batt, H. deJong, M. Page, and J. Geiselmann Symbolic reachability analysis of genetic regulatory networks using discrete abstractions Automatica 44 4 2008 982 989
    • (2008) Automatica , vol.44 , Issue.4 , pp. 982-989
    • Batt, G.1    Dejong, H.2    Page, M.3    Geiselmann, J.4
  • 12
    • 84860513120 scopus 로고    scopus 로고
    • Validation of qualitative models of genetic regulatory networks by model checking: Analysis of the nutritional stress response in Escherichia coli
    • G. Batt, D. Ropers, H. deJong, J. Geiselmann, R. Mateescu, M. Page, and D. Schneider Validation of qualitative models of genetic regulatory networks by model checking: Analysis of the nutritional stress response in Escherichia coli Bioinformatics 21 Suppl 1 2005 i19i28
    • (2005) Bioinformatics , vol.21 , Issue.SUPPL. 1
    • Batt, G.1    Ropers, D.2    Dejong, H.3    Geiselmann, J.4    Mateescu, R.5    Page, M.6    Schneider, D.7
  • 13
    • 34548747486 scopus 로고    scopus 로고
    • Robustness analysis and tuning of synthetic gene networks
    • DOI 10.1093/bioinformatics/btm362
    • G. Batt, B. Yordanov, C. Belta, and R. Weiss Robustness analysis and tuning of synthetic gene networks Bioinformatics 23 18 2007 2415 2422 (Pubitemid 47423839)
    • (2007) Bioinformatics , vol.23 , Issue.18 , pp. 2415-2422
    • Batt, G.1    Yordanov, B.2    Weiss, R.3    Belta, C.4
  • 15
    • 84863884631 scopus 로고    scopus 로고
    • On-the-Fly Model Checking of RCTL Formulas
    • Computer Aided Verification
    • I. Beer, S. Ben-David, and A. Landver On-the-fly model checking of RCTL formulas A. Hu, M.Y. Vardi, Proc. 10th Intl. Conf. Computer Aided Verification CAV 1998 LNCS vol. 1427 1998 Springer Verlag 184 194 (Pubitemid 128092338)
    • (1998) Lecture Notes in Computer Science , Issue.1427 , pp. 184-194
    • Beer, I.1    Ben-David, S.2    Landver, A.3
  • 16
    • 3042693879 scopus 로고    scopus 로고
    • Application of formal methods to biological regulatory networks: Extending Thomas' asynchronous logical approach with temporal logic
    • G. Bernot, J.-P. Comet, A. Richard, and J. Guespin Application of formal methods to biological regulatory networks: Extending Thomas' asynchronous logical approach with temporal logic J. Theoret. Biol. 229 3 2004 339 348
    • (2004) J. Theoret. Biol. , vol.229 , Issue.3 , pp. 339-348
    • Bernot, G.1    Comet, J.-P.2    Richard, A.3    Guespin, J.4
  • 18
    • 57049157141 scopus 로고    scopus 로고
    • Stochastic analysis of amino acid substitution in protein synthesis
    • D. Bosnacki, H. ten Eikelder, M. Steijaert, and E. de~Vink Stochastic analysis of amino acid substitution in protein synthesis M. Heiner, A. Uhrmacher, Computational Methods in Systems Biology, CMSB-08 LNCS vol. 5307 2008 Springer Verlag Berlin 367 386
    • (2008) LNCS , vol.5307 , pp. 367-386
    • Bosnacki, D.1    Ten Eikelder, H.2    Steijaert, M.3    Devink, E.4
  • 20
    • 84945709734 scopus 로고
    • Derivatives of regular expressions
    • J.A. Brzozowski Derivatives of regular expressions J. ACM 11 4 1964 481 494
    • (1964) J. ACM , vol.11 , Issue.4 , pp. 481-494
    • Brzozowski, J.A.1
  • 23
    • 34548302044 scopus 로고    scopus 로고
    • Petri net modelling of biological networks
    • DOI 10.1093/bib/bbm029, Integrative Biology
    • C. Chaouiya Petri net modelling of biological networks Brief. Bioinform. 8 4 2007 210 219 (Pubitemid 47336806)
    • (2007) Briefings in Bioinformatics , vol.8 , Issue.4 , pp. 210-219
    • Chaouiya, C.1
  • 26
    • 0035441462 scopus 로고    scopus 로고
    • Verification of infinite-state dynamic systems using approximate quotient transition systems
    • DOI 10.1109/9.948467, PII S0018928601088018
    • A. Chutinan, and B. Krogh Verification of infinite-state dynamic systems using approximate quotient transition systems IEEE Trans. Automat. Control 46 9 2001 1401 1410 (Pubitemid 32981643)
    • (2001) IEEE Transactions on Automatic Control , vol.46 , Issue.9 , pp. 1401-1410
    • Chutinan, A.1    Krogh, B.H.2
  • 29
    • 0027579401 scopus 로고
    • A linear-time model-checking algorithm for the alternation-free modal mu-calculus
    • R. Cleaveland, and B. Steffen A linear-time model-checking algorithm for the alternation-free modal mu-calculus Form. Methods Syst. Des. 2 2 1993 121 147
    • (1993) Form. Methods Syst. Des. , vol.2 , Issue.2 , pp. 121-147
    • Cleaveland, R.1    Steffen, B.2
  • 30
    • 0028420232 scopus 로고
    • * as fragments of the modal μ-calculus
    • * as fragments of the modal μ-calculus Theoret. Comput. Sci. 126 1 1994 77 96
    • (1994) Theoret. Comput. Sci. , vol.126 , Issue.1 , pp. 77-96
    • Dam, M.1
  • 31
    • 0035393979 scopus 로고    scopus 로고
    • LSCs: Breathing life into message sequence charts
    • DOI 10.1023/A:1011227529550
    • W. Damm, and D. Harel Lscs: Breathing life into message sequence charts Form. Methods Syst. Des. 19 1 2001 45 80 (Pubitemid 32697643)
    • (2001) Formal Methods in System Design , vol.19 , Issue.1 , pp. 45-80
    • Damm, W.1    Harel, D.2
  • 32
    • 0036207347 scopus 로고    scopus 로고
    • Modeling and simulation of genetic regulatory systems: A literature review
    • H. deJong Modeling and simulation of genetic regulatory systems: A literature review J. Comput. Biol. 9 1 2002 67 103
    • (2002) J. Comput. Biol. , vol.9 , Issue.1 , pp. 67-103
    • Dejong, H.1
  • 33
    • 1242345225 scopus 로고    scopus 로고
    • Qualitative simulation of the initiation of sporulation in Bacillus subtilis
    • DOI 10.1016/j.bulm.2003.08.009
    • H. deJong, J. Geiselmann, G. Batt, C. Hernandez, and M. Page Qualitative simulation of the initiation of sporulation in Bacillus subtilis Bull. Math. Biol. 66 2 2004 261 299 (Pubitemid 38225125)
    • (2004) Bulletin of Mathematical Biology , vol.66 , Issue.2 , pp. 261-299
    • De Jong, H.1    Geiselmann, J.2    Batt, G.3    Hernandez, C.4    Page, M.5
  • 35
    • 33748058888 scopus 로고    scopus 로고
    • Bistability in bacteria
    • DOI 10.1111/j.1365-2958.2006.05249.x
    • D. Dubnau, and R. Losick Bistability in bacteria Mol. Microbiol. 61 3 2006 564 572 (Pubitemid 44324084)
    • (2006) Molecular Microbiology , vol.61 , Issue.3 , pp. 564-572
    • Dubnau, D.1    Losick, R.2
  • 37
  • 38
    • 0023362541 scopus 로고
    • Modalities for model checking: Branching time logic strikes back
    • E.A. Emerson, and C.-L. Lei Modalities for model checking: branching time logic strikes back Sci. Comput. Programming 8 1987
    • (1987) Sci. Comput. Programming , vol.8
    • Emerson, E.A.1    Lei, C.-L.2
  • 39
    • 0018454915 scopus 로고
    • Propositional dynamic logic of regular programs
    • M.J. Fischer, and R.E. Ladner Propositional dynamic logic of regular programs J. Comput. System Sci. 18 2 1979 194 211
    • (1979) J. Comput. System Sci. , vol.18 , Issue.2 , pp. 194-211
    • Fischer, M.J.1    Ladner, R.E.2
  • 40
    • 36049044199 scopus 로고    scopus 로고
    • Executable cell biology
    • J. Fisher, and T. Henzinger Executable cell biology Nat. Biotechnol. 25 11 2007 1239 1250
    • (2007) Nat. Biotechnol. , vol.25 , Issue.11 , pp. 1239-1250
    • Fisher, J.1    Henzinger, T.2
  • 41
    • 34249725570 scopus 로고    scopus 로고
    • Predictive modeling of signaling crosstalk during C. elegans vulval development
    • J. Fisher, N. Piterman, A. Hajnal, and T. Henzinger Predictive modeling of signaling crosstalk during C. elegans vulval development PLoS Comput. Biol. 3 5 2007 e92
    • (2007) PLoS Comput. Biol. , vol.3 , Issue.5
    • Fisher, J.1    Piterman, N.2    Hajnal, A.3    Henzinger, T.4
  • 43
    • 84947903650 scopus 로고    scopus 로고
    • OPEN/CAESAR: An Open Software Architecture for Verification, Simulation, and Testing
    • Tools and Algorithms for the Construction and Analysis of Systems
    • H. Garavel OPEN/CÆSAR: An open software architecture for verification, simulation, and testing B. Steffen, Proc. 1st Intl. Conf. on Tools and Algorithms for the Construction and Analysis of Systems TACAS 1998 LNCS vol. 1384 1998 Springer Verlag Berlin 68 84 (full version available as INRIA Research ReportRR-3352) (Pubitemid 128055537)
    • (1998) Lecture Notes in Computer Science , Issue.1384 , pp. 68-84
    • Garavel, H.1
  • 45
    • 14344265954 scopus 로고    scopus 로고
    • Symbolic reachable set computation of piecewise affine hybrid automata and its application to biological modelling: Delta-Notch protein signalling
    • R. Ghosh, and C. Tomlin Symbolic reachable set computation of piecewise affine hybrid automata and its application to biological modelling: Delta-Notch protein signalling IET Syst. Biol. 1 1 2004 170 183
    • (2004) IET Syst. Biol. , vol.1 , Issue.1 , pp. 170-183
    • Ghosh, R.1    Tomlin, C.2
  • 46
    • 0015609281 scopus 로고
    • The logical analysis of continuous non-linear biochemical control networks
    • L. Glass, and S. Kauffman The logical analysis of continuous non-linear biochemical control networks J. Theoret. Biol. 39 1 1973 103 129
    • (1973) J. Theoret. Biol. , vol.39 , Issue.1 , pp. 103-129
    • Glass, L.1    Kauffman, S.2
  • 47
    • 34547844287 scopus 로고    scopus 로고
    • Piecewise-linear models of genetic regulatory networks: Theory and example
    • F. Grognard, H. deJong, and J.-L. Gouz Piecewise-linear models of genetic regulatory networks: Theory and example I. Queinnec, S. Tarbouriech, G. Garcia, S. Niculescu, Biology and Control Theory: Current Challenges LNCIS vol. 357 2007 Springer Verlag Berlin 137 159
    • (2007) LNCIS , vol.357 , pp. 137-159
    • Grognard, F.1    Dejong, H.2    Gouz, J.-L.3
  • 48
    • 34347396784 scopus 로고    scopus 로고
    • Identification of regulatory network topological units coordinating the genome-wide transcriptional response to glucose in Escherichia coli
    • R. Gutierrez-Ros, J. Freyre-Gonzalez, O. Resendis, J. Collado-Vides, M. Saier, and G. Gosset Identification of regulatory network topological units coordinating the genome-wide transcriptional response to glucose in Escherichia coli BMC Microbiol. 7 1 2007 53
    • (2007) BMC Microbiol. , vol.7 , Issue.1 , pp. 53
    • Gutierrez-Ros, R.1    Freyre-Gonzalez, J.2    Resendis, O.3    Collado-Vides, J.4    Saier, M.5    Gosset, G.6
  • 50
    • 0000291637 scopus 로고    scopus 로고
    • The general stress response in Escherichia coli
    • R. Hengge-Aronis The general stress response in Escherichia coli G. Storz, R. Hengge-Aronis, Bacterial Stress Responses 2000 ASM Press Washington DC 161 177
    • (2000) Bacterial Stress Responses , pp. 161-177
    • Hengge-Aronis, R.1
  • 59
    • 23444449142 scopus 로고    scopus 로고
    • Integrative model of the response of yeast to osmotic shock
    • DOI 10.1038/nbt1114
    • E. Klipp, B. Nordlander, R. Krger, P. Gennemark, and S. Hohmann Integrative model of the response of yeast to osmotic shock Nat. Biotechnol. 23 8 2005 975 982 (Pubitemid 41114031)
    • (2005) Nature Biotechnology , vol.23 , Issue.8 , pp. 975-982
    • Klipp, E.1    Nordlander, B.2    Kruger, R.3    Gennemark, P.4    Hohmann, S.5
  • 60
    • 49049126479 scopus 로고
    • Results on the propositional μ-calculus
    • D. Kozen Results on the propositional μ-calculus Theoret. Comput. Sci. 27 1983 333 354
    • (1983) Theoret. Comput. Sci. , vol.27 , pp. 333-354
    • Kozen, D.1
  • 61
    • 24644511303 scopus 로고    scopus 로고
    • Temporal logic for scenario-based specifications
    • Tools and Algorithms for the Construction and Analysis of Systems - 11th Int. Conference, TACAS 2005, held as part of the Joint European Conf. on Theory and Practice of Software, ETAPS 2005, Proc.
    • H. Kugler, D. Harel, A. Pnueli, Y. Lu, and Y. Bontemps Temporal logic for scenario-based specifications N. Halbwachs, L. Zuck, Proc. 11th Intl. Conf. on Tools and Algorithms for the Construction and Analysis of Systems TACAS 2005 LNCS vol. 3440 2005 Springer Verlag 445 460 (Pubitemid 41273758)
    • (2005) Lecture Notes in Computer Science , vol.3440 , pp. 445-460
    • Kugler, H.1    Harel, D.2    Pnueli, A.3    Lu, Y.4    Bontemps, Y.5
  • 62
    • 33646721754 scopus 로고    scopus 로고
    • EXP.OPEN 2.0: A flexible tool integrating partial order, compositional, and on-the-fly verification methods
    • F. Lang EXP.OPEN 2.0: A flexible tool integrating partial order, compositional, and on-the-fly verification methods J. van de Pol, J. Romijn, G. Smith, Proc. 5th Intl. Conf. on Integrated Formal Methods IFM 2005 LNCS vol. 3771 2005 Springer Verlag (full version available as INRIA Research ReportRR-5673)
    • (2005) Proc. 5th Intl. Conf. on Integrated Formal Methods IFM 2005 LNCS , vol.3771
    • Lang, F.1
  • 63
    • 85032177199 scopus 로고
    • Proof systems for HennessyMilner logic with recursion
    • Springer Verlag Berlin
    • K.G. Larsen Proof systems for HennessyMilner logic with recursion Proc. 13th Colloquium on Trees in Algebra and Programming CAAP 1988 LNCS vol. 299 1988 Springer Verlag Berlin 215 230
    • (1988) CAAP 1988 , vol.299 , pp. 215-230
    • Larsen, K.G.1
  • 66
    • 0022879965 scopus 로고
    • Compiling communicating processes into delay-insensitive VLSI circuits
    • A.J. Martin Compiling communicating processes into delay-insensitive VLSI circuits Distrib. Comput. 1 4 1986 226 234
    • (1986) Distrib. Comput. , vol.1 , Issue.4 , pp. 226-234
    • Martin, A.J.1
  • 67
    • 31744450716 scopus 로고    scopus 로고
    • CAESAR-SOLVE: A generic library for on-the-fly resolution of alternation-free Boolean equation systems
    • DOI 10.1007/s10009-005-0194-9
    • R. Mateescu CÆSARSOLVE: A generic library for on-the-fly resolution of alternation-free boolean equation systems Springer Intl. J. Software Tool. Tech. Tran. 8 1 2006 37 56 (full version available as INRIA Research Report RR-5948, July 2006) (Pubitemid 43174324)
    • (2006) International Journal on Software Tools for Technology Transfer , vol.8 , Issue.1 , pp. 37-56
    • Mateescu, R.1
  • 69
    • 0037332768 scopus 로고    scopus 로고
    • Efficient on-the-fly model-checking for regular alternation-free mu-calculus
    • DOI 10.1016/S0167-6423(02)00094-1, PII S0167642302000941
    • R. Mateescu, and M. Sighireanu Efficient on-the-fly model-checking for regular alternation-free mu-calculus Sci. Comput. Programming 46 3 2003 255 281 (Pubitemid 35349766)
    • (2003) Science of Computer Programming , vol.46 , Issue.3 , pp. 255-281
    • Mateescu, R.1    Sighireanu, M.2
  • 71
    • 49549083532 scopus 로고    scopus 로고
    • Temporal logic patterns for querying dynamic models of cellular interaction networks
    • P.T. Monteiro, D. Ropers, R. Mateescu, A. Freitas, and H. deJong Temporal logic patterns for querying dynamic models of cellular interaction networks Bioinformatics 24 16 2008 i227i233
    • (2008) Bioinformatics , vol.24 , Issue.16
    • Monteiro, P.T.1    Ropers, D.2    Mateescu, R.3    Freitas, A.4    Dejong, H.5
  • 72
    • 75649131791 scopus 로고    scopus 로고
    • A service-oriented architecture for integrating the modeling and formal verification of genetic regulatory networks
    • Pedro Tiago Monteiro, Estelle Dumas, Bruno Besson, Radu Mateescu, Michel Page, Ana Teresa Freitas, and Hidde de Jong A service-oriented architecture for integrating the modeling and formal verification of genetic regulatory networks BMC Bioinform. 10 450 2009
    • (2009) BMC Bioinform. , vol.10 , Issue.450
    • Monteiro, P.T.1    Dumas, E.2    Besson, B.3    Mateescu, R.4    Page, M.5    Freitas, A.T.6    De Jong, H.7
  • 73
    • 0037179670 scopus 로고    scopus 로고
    • Cells as computation
    • A. Regev, and E. Shapiro Cells as computation Nature 419 6905 2002 343
    • (2002) Nature , vol.419 , Issue.6905 , pp. 343
    • Regev, A.1    Shapiro, E.2
  • 74
    • 33646377419 scopus 로고    scopus 로고
    • Qualitative simulation of the carbon starvation response in Escherichia coli
    • DOI 10.1016/j.biosystems.2005.10.005, PII S0303264705001711
    • D. Ropers, H. deJong, M. Page, D. Schneider, and J. Geiselmann Qualitative simulation of the carbon starvation response in Escherichia coli Biosystems 84 2 2006 124 152 (Pubitemid 43670488)
    • (2006) BioSystems , vol.84 , Issue.2 , pp. 124-152
    • Ropers, D.1    De Jong, H.2    Page, M.3    Schneider, D.4    Geiselmann, J.5
  • 75
    • 0036212767 scopus 로고    scopus 로고
    • Computational modeling of the dynamics of the MAP kinase cascade activated by surface and internalized EGF receptors
    • DOI 10.1038/nbt0402-370
    • B. Schoeberl, C. Eichler-Jonsson, E.-D. Gilles, and G. Mller Computational modeling of the dynamics of the MAP kinase cascade activated by surface and internalized EGF receptors Nat. Biotechnol. 20 4 2002 370 375 (Pubitemid 34286330)
    • (2002) Nature Biotechnology , vol.20 , Issue.4 , pp. 370-375
    • Schoeberl, B.1    Eichler-Jonsson, C.2    Gilles, E.D.3    Muller, G.4
  • 76
    • 33751202952 scopus 로고    scopus 로고
    • Modeling the onset of virulence in a pectinolytic bacterium
    • DOI 10.1016/j.jtbi.2006.08.010, PII S0022519306003468
    • J.-A. Sepulchre, S. Reverchon, and W. Nasser Modeling the onset of virulence in a pectinolytic bacterium J. Theoret. Biol. 44 2 2007 239 257 (Pubitemid 44781437)
    • (2007) Journal of Theoretical Biology , vol.244 , Issue.2 , pp. 239-257
    • Sepulchre, J.-A.1    Reverchon, S.2    Nasser, W.3
  • 78
    • 0000690591 scopus 로고
    • Propositional dynamic logic of looping and converse
    • R. Streett Propositional dynamic logic of looping and converse Inform. Control 54 1982 121 141
    • (1982) Inform. Control , Issue.54 , pp. 121-141
    • Streett, R.1
  • 79
    • 84972541021 scopus 로고
    • A lattice-theoretical fixpoint theorem and its applications
    • A. Tarski A lattice-theoretical fixpoint theorem and its applications Pacific J. Math. 5 1955 285 309
    • (1955) Pacific J. Math. , vol.5 , pp. 285-309
    • Tarski, A.1
  • 80
    • 0007712725 scopus 로고    scopus 로고
    • Multistationarity, the basis of cell differentiation and memory: I. Structural conditions of multistationarity and other nontrivial behavior
    • R. Thomas, and M. Kaufman Multistationarity, the basis of cell differentiation and memory: I. Structural conditions of multistationarity and other nontrivial behavior Chaos 11 1 2001 170 179
    • (2001) Chaos , vol.11 , Issue.1 , pp. 170-179
    • Thomas, R.1    Kaufman, M.2
  • 81
    • 0029267491 scopus 로고
    • Dynamical behaviour of biological regulatory networks: I. Biological role of feedback loops and practical use of the concept of the loop-characteristic state
    • R. Thomas, D. Thieffry, and M. Kaufman Dynamical behaviour of biological regulatory networks: I. Biological role of feedback loops and practical use of the concept of the loop-characteristic state Bull. Math. Biol. 57 2 1995 247 276
    • (1995) Bull. Math. Biol. , vol.57 , Issue.2 , pp. 247-276
    • Thomas, R.1    Thieffry, D.2    Kaufman, M.3
  • 82
    • 85034809087 scopus 로고
    • Computation Tree Logic and regular ω-languages
    • W. Thomas Computation Tree Logic and regular ω-languages LNCS vol. 354 1989 690 713
    • (1989) LNCS , vol.354 , pp. 690-713
    • Thomas, W.1
  • 83
    • 84945271493 scopus 로고    scopus 로고
    • Series abstractions for hybrid automata
    • A. Tiwari, and G. Khanna Series abstractions for hybrid automata C. Tomlin, M. Greenstreet, Proc. 5th Intl. Workshop Hybrid Systems: Computation and Control HSCC 2002 LNCS vol. 2289 2002 Springer Verlag 465 478
    • (2002) LNCS , vol.2289 , pp. 465-478
    • Tiwari, A.1    Khanna, G.2
  • 84
    • 2942750479 scopus 로고    scopus 로고
    • Modeling the quorum sensing regulatory network of human-pathogenic Pseudomonas aeruginosa
    • DOI 10.1021/bp034323l
    • A. Usseglio Viretta, and M. Fussenegger Modeling the quorum sensing regulatory network of human-pathogenic Pseudomonas aeruginosa Biotechnol. Prog. 20 3 2004 670 678 (Pubitemid 38791081)
    • (2004) Biotechnology Progress , vol.20 , Issue.3 , pp. 670-678
    • Viretta, A.U.1    Fussenegger, M.2
  • 87
    • 0020496645 scopus 로고
    • Temporal logic can be more expressive
    • P. Wolper Temporal logic can be more expressive Inform. Control 56 1/2 1983 72 99 (Pubitemid 14570587)
    • (1983) Information and control , vol.56 , Issue.1-2 , pp. 72-99
    • Wolper, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.