메뉴 건너뛰기




Volumn 412, Issue 21, 2011, Pages 2095-2107

Computing reachable states for nonlinear biological models

Author keywords

[No Author keywords available]

Indexed keywords

BIOLOGICAL MODELS; COMPLEX MODEL; NOVEL ALGORITHM; PROTOTYPE IMPLEMENTATIONS; REACHABILITY;

EID: 79953213259     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tcs.2011.01.014     Document Type: Article
Times cited : (22)

References (47)
  • 1
    • 62949169899 scopus 로고    scopus 로고
    • Reachability analysis of nonlinear systems with uncertain parameters using conservative linearization
    • 9-11
    • Matthias Althoff, Olaf Stursberg, Martin Buss, Reachability analysis of nonlinear systems with uncertain parameters using conservative linearization: in: CDC, pp 40424048, 911, 2008.
    • (2008) CDC , pp. 4042-4048
    • Althoff, M.1    Stursberg, O.2    Buss, M.3
  • 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)
    • Rajeev Alur, Thao Dang, and Franjo Ivancic Counterexample-guided predicate abstraction of hybrid systems Theoretical Computer Science 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
  • 4
    • 35048857940 scopus 로고    scopus 로고
    • Abstraction by projection and application to multi-affine systems
    • Springer HSCC
    • Eugene Asarin, and Thao Dang Abstraction by projection and application to multi-affine systems HSCC LNCS vol. 2993 2004 Springer 32 47
    • (2004) LNCS , vol.2993 , pp. 32-47
    • Asarin, E.1    Dang, T.2
  • 5
    • 33846672502 scopus 로고    scopus 로고
    • Hybridization methods for the analysis of nonlinear systems
    • Eugene Asarin, Thao Dang, and Antoine Girard Hybridization methods for the analysis of nonlinear systems Acta Informatica 43 7 2007 451 476
    • (2007) Acta Informatica , vol.43 , Issue.7 , pp. 451-476
    • Asarin, E.1    Dang, T.2    Girard, A.3
  • 6
    • 84974731232 scopus 로고    scopus 로고
    • Approximate reachability analysis of piecewise-linear dynamical systems
    • Springer HSCC
    • Eugene Asarin, Thao Dang, Oded Maler, and Olivier Bournez Approximate reachability analysis of piecewise-linear dynamical systems HSCC LNCS vol. 1790 2000 Springer 20 31
    • (2000) LNCS , vol.1790 , pp. 20-31
    • Asarin, E.1    Dang, T.2    Maler, O.3    Bournez, O.4
  • 7
    • 0003301548 scopus 로고
    • Differential inclusions: Set-valued maps and viability theory
    • Springer-Verlag
    • Jean-Pierre Aubin, and Arrigo Cellina Differential inclusions: set-valued maps and viability theory Grundlehren der mathematischen Wissenschaften vol. 264 1984 Springer-Verlag
    • (1984) Grundlehren der Mathematischen Wissenschaften , vol.264
    • Aubin, J.-P.1    Cellina, A.2
  • 8
    • 34548804054 scopus 로고    scopus 로고
    • Model checking genetic regulatory networks with parameter uncertainty
    • Springer HSCC
    • Grgory Batt, Calin Belta, and Ron Weiss Model checking genetic regulatory networks with parameter uncertainty HSCC LNCS vol. 4416 2007 Springer 61 75
    • (2007) LNCS , vol.4416 , pp. 61-75
    • Batt, G.1    Belta, C.2    Weiss, R.3
  • 10
    • 84974735953 scopus 로고    scopus 로고
    • Verification of hybrid systems with linear differential inclusions using ellipsoidal approximations
    • Springer HSCC
    • Oleg Botchkarev, and Stavros Tripakis Verification of hybrid systems with linear differential inclusions using ellipsoidal approximations HSCC LNCS vol. 1790 2000 Springer 73 88
    • (2000) LNCS , vol.1790 , pp. 73-88
    • Botchkarev, O.1    Tripakis, S.2
  • 11
    • 84949433135 scopus 로고    scopus 로고
    • Verification of polyhedral-invariant hybrid automata using polygonal flow pipe approximations
    • Springer HSCC
    • Alongkrit Chutinan, and Bruce H. Krogh Verification of polyhedral-invariant hybrid automata using polygonal flow pipe approximations HSCC LNCS vol. 1569 1999 Springer 76 90
    • (1999) LNCS , vol.1569 , pp. 76-90
    • Chutinan, A.1    Krogh, B.H.2
  • 12
    • 0037250532 scopus 로고    scopus 로고
    • Computational techniques for hybrid system verification
    • Alongkrit Chutinan, and Bruce-H. Krogh Computational techniques for hybrid system verification IEEE Transactions on Automatic Control 48 1 2003 64 75
    • (2003) IEEE Transactions on Automatic Control , vol.48 , Issue.1 , pp. 64-75
    • Chutinan, A.1    Krogh, B.-H.2
  • 15
    • 84957870468 scopus 로고    scopus 로고
    • Reachability Analysis via Face Lifting
    • Hybrid Systems: Computation and Control
    • Thao Dang, and Oded Maler Reachability analysis via face lifting HSCC LNCS vol. 1386 1998 Springer 96 109 (Pubitemid 128055511)
    • (1998) Lecture Notes in Computer Science , Issue.1386 , pp. 96-109
    • Dang, T.1    Maler, O.2
  • 16
    • 77953058505 scopus 로고    scopus 로고
    • Accurate hybridization of nonlinear systems
    • ACM
    • Thao Dang, Oded Maler, and Romain Testylier Accurate hybridization of nonlinear systems HSCC 2010 ACM 11 20
    • (2010) HSCC , pp. 11-20
    • Dang, T.1    Maler, O.2    Testylier, R.3
  • 17
    • 84880869346 scopus 로고    scopus 로고
    • Qualitative simulation of genetic regulatory networks: Method and application
    • Morgan Kaufmann
    • Hidde de-Jong, Michel Page, Cline Hernandez, and Johannes Geiselmann Qualitative simulation of genetic regulatory networks: method and application IJCAI 2001 Morgan Kaufmann 67 73
    • (2001) IJCAI , pp. 67-73
    • De-jong, H.1    Page, M.2    Cline, H.3    Geiselmann, J.4
  • 19
    • 67650324394 scopus 로고    scopus 로고
    • Parameter synthesis in nonlinear dynamical systems: Application to systems biology
    • Springer RECOMB
    • Alexandre Donz, Gilles Clermont, Axel Legay, and Christopher-James Langmead Parameter synthesis in nonlinear dynamical systems: Application to systems biology RECOMB LNCS vol. 5541 2009 Springer 155 169
    • (2009) LNCS , vol.5541 , pp. 155-169
    • Donz, A.1    Clermont, G.2    Legay, A.3    Langmead C.-James4
  • 20
    • 38049130498 scopus 로고    scopus 로고
    • Systematic simulation using sensitivity analysis
    • Springer HSCC
    • Alexandre Donz, and Oded Maler Systematic simulation using sensitivity analysis HSCC LNCS vol. 4416 2007 Springer 174 189
    • (2007) LNCS , vol.4416 , pp. 174-189
    • Donz, A.1    Maler, O.2
  • 21
    • 24344447320 scopus 로고    scopus 로고
    • PHAVer: Algorithmic verification of hybrid systems past HyTech
    • Hybrid Systems: Computation and Control - 8th International Workshop, HSCC 2005
    • Goran Frehse PHAVer: algorithmic verification of hybrid systems past hytech HSCC LNCS vol. 3414 2005 Springer 258 273 (Pubitemid 41252072)
    • (2005) Lecture Notes in Computer Science , vol.3414 , pp. 258-273
    • Frehse, G.1
  • 22
    • 34249950625 scopus 로고    scopus 로고
    • Stochastic simulation of chemical kinetics
    • DOI 10.1146/annurev.physchem.58.032806.104637
    • Daniel T. Gillespie Stochastic simulation of chemical kinetics Annual Review of Physical Chemistry 58 1 2007 35 55 (Pubitemid 46877584)
    • (2007) Annual Review of Physical Chemistry , vol.58 , pp. 35-55
    • Gillespie, D.T.1
  • 23
    • 24344472268 scopus 로고    scopus 로고
    • Reachability of uncertain linear systems using zonotopes
    • Hybrid Systems: Computation and Control - 8th International Workshop, HSCC 2005
    • Antoine Girard Reachability of uncertain linear systems using zonotopes HSCC LNCS vol. 3414 2005 Springer 291 305 (Pubitemid 41252074)
    • (2005) Lecture Notes in Computer Science , vol.3414 , pp. 291-305
    • Girard, A.1
  • 25
    • 84957378362 scopus 로고    scopus 로고
    • Verifying safety properties of differential equations
    • Computer Aided Verification
    • Mark R. Greenstreet Verifying safety properties of differential equations CAV LNCS vol. 1102 1996 Springer 277 287 (Pubitemid 126101288)
    • (1996) Lecture Notes in Computer Science , Issue.1102 , pp. 277-287
    • Greenstreet, M.R.1
  • 26
    • 84949476918 scopus 로고    scopus 로고
    • Reachability analysis using polygonal projections
    • Springer Hybrid Systems: Computation and Control
    • Mark-R. Greenstreet, and Ian Mitchell Reachability analysis using polygonal projections Hybrid Systems: Computation and Control LNCS vol. 1569 1999 Springer 103 116
    • (1999) LNCS , vol.1569 , pp. 103-116
    • Greenstreet, M.-R.1    Mitchell, I.2
  • 27
    • 33947627011 scopus 로고    scopus 로고
    • Analysis of lactose metabolism in E.coli using reachability analysis of hybrid systems
    • DOI 10.1049/iet-syb:20060035
    • dm-M. Halsz, Vijay Kumar, Marcin Imieliski, Calin Belta, Oleg Sokolsky, S. Pathak, and Harvey Rubin Analysis of lactose metabolism in E.coli using reachability analysis of hybrid systems Systems Biology, IET 1 2 2007 130 148 (Pubitemid 46488244)
    • (2007) IET Systems Biology , vol.1 , Issue.2 , pp. 130-148
    • Halasz, A.1    Kumar, V.2    Imielinski, M.3    Belta, C.4    Sokolsky, O.5    Pathak, S.6    Rubin, H.7
  • 28
    • 34047212267 scopus 로고    scopus 로고
    • Reachability analysis of nonlinear systems using trajectory piecewise linearized models
    • 1656431, Proceedings of the 2006 American Control Conference
    • Zhi Han, B.H. Krogh, Reachability analysis of nonlinear systems using trajectory piecewise linearized models, in: American Control Conference, 2006, pp. 15051510. (Pubitemid 46531028)
    • (2006) Proceedings of the American Control Conference , vol.2006 , pp. 1505-1510
    • Han, Z.1    Krogh, B.H.2
  • 29
    • 0032050207 scopus 로고    scopus 로고
    • Algorithmic analysis of nonlinear hybrid systems
    • PII S0018928698026610
    • Thomas A. Henzinger, Pei-Hsin Ho, and Howard Wong-Toi Algorithmic analysis of nonlinear hybrid systems IEEE Transactions on Automatic Control 43 4 1998 540 554 (Pubitemid 128737377)
    • (1998) IEEE Transactions on Automatic Control , vol.43 , Issue.4 , pp. 540-554
    • Henzinger, T.A.1    Ho, P.-H.2    Wong-Toi, H.3
  • 33
    • 84974693322 scopus 로고    scopus 로고
    • Ellipsoidal techniques for reachability analysis
    • Springer HSCC
    • Alexander B. Kurzhanski, and Pravin Varaiya Ellipsoidal techniques for reachability analysis HSCC LNCS vol. 1790 2000 Springer 202 214
    • (2000) LNCS , vol.1790 , pp. 202-214
    • Kurzhanski, A.-B.1    Varaiya, P.2
  • 34
    • 33847362191 scopus 로고    scopus 로고
    • Ellipsoidal techniques for reachability analysis of discrete-time linear systems
    • DOI 10.1109/TAC.2006.887900
    • Alex A. Kurzhanskiy, and Pravin Varaiya Ellipsoidal techniques for reachability analysis of discrete-time linear systems IEEE Transactions on Automatic Control 52 1 2007 26 38 (Pubitemid 46343995)
    • (2007) IEEE Transactions on Automatic Control , vol.52 , Issue.1 , pp. 26-38
    • Kurzhanskiy, A.A.1    Varaiya, P.2
  • 37
    • 77949654161 scopus 로고    scopus 로고
    • Reachability analysis of linear systems using support functions
    • IFAC World Congress 2008
    • Colas Le-Guernic, and Antoine Girard Reachability analysis of linear systems using support functions IFAC World Congress 2008 Nonlinear Analysis: Hybrid Systems 4 2 2010 250 262
    • (2010) Nonlinear Analysis: Hybrid Systems , vol.4 , Issue.2 , pp. 250-262
    • Le-Guernic, C.1    Girard, A.2
  • 38
    • 0032259985 scopus 로고    scopus 로고
    • A unified approach for studying discrete and continuous dynamical systems
    • Oded Maler A unified approach for studying discrete and continuous dynamical systems CDC vol. 2 1998 2083 2088
    • (1998) CDC , vol.2 , pp. 2083-2088
    • Maler, O.1
  • 39
    • 0036966135 scopus 로고    scopus 로고
    • Control from computer science
    • Oded Maler Control from computer science Annual Reviews in Control 26 2 2002 175 187
    • (2002) Annual Reviews in Control , vol.26 , Issue.2 , pp. 175-187
    • Maler, O.1
  • 40
    • 47149087560 scopus 로고    scopus 로고
    • Approximating continuous systems by timed automata
    • Springer FMSB
    • Oded Maler, and Grgory Batt Approximating continuous systems by timed automata FMSB LNCS vol. 5054 2008 Springer 77 89
    • (2008) LNCS , vol.5054 , pp. 77-89
    • Maler, O.1    Batt, G.2
  • 41
    • 84974725120 scopus 로고    scopus 로고
    • Level set methods for computation in hybrid systems
    • Springer HSCC
    • Ian Mitchell, and Claire Tomlin Level set methods for computation in hybrid systems HSCC LNCS vol. 1790 2000 Springer 310 323
    • (2000) LNCS , vol.1790 , pp. 310-323
    • Mitchell, I.1    Tomlin, C.2
  • 46
    • 38049136866 scopus 로고    scopus 로고
    • A Biochemical Model of Matrix Metalloproteinase 9 Activation and Inhibition
    • Prakash Vempati, Emmanouil D. Karagiannis, and Aleksander S. Popel A Biochemical Model of Matrix Metalloproteinase 9 Activation and Inhibition Journal of Biological Chemistry 282 52 2007 37585 37596
    • (2007) Journal of Biological Chemistry , vol.282 , Issue.52 , pp. 37585-37596
    • Vempati, P.1    Karagiannis, E.D.2    Popel, A.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.