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Volumn 6575 LNBI, Issue , 2011, Pages 61-84

Delay stochastic simulation of biological systems: A purely delayed approach

Author keywords

[No Author keywords available]

Indexed keywords

DELAY DIFFERENTIAL EQUATIONS; FORMAL DEFINITION; MATHEMATICAL MODELING; MODEL EVENTS; SIMULATION ALGORITHMS; STOCHASTIC SIMULATION ALGORITHMS; STOCHASTIC SIMULATIONS; SYSTEMS WITH DELAYS; TUMOR GROWTH; UNDERLYING DYNAMICS;

EID: 79957773352     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-19748-2_4     Document Type: Conference Paper
Times cited : (22)

References (15)
  • 1
    • 36849077107 scopus 로고    scopus 로고
    • A modified next reaction method for simulating chemical systems with time dependent propensities and delays
    • Anderson, D.F.: A Modified Next Reaction Method for Simulating Chemical Systems with Time Dependent Propensities and Delays. J. Ch. Phys. 127(21), 214107 (2007)
    • (2007) J. Ch. Phys. , vol.127 , Issue.21 , pp. 214107
    • Anderson, D.F.1
  • 2
    • 33749336242 scopus 로고    scopus 로고
    • Oscillatory regulation of hes1: Discrete stochastic delay modelling and simulation
    • Barrio, M., Burrage, K., Leier, A., Tian, T.: Oscillatory Regulation of Hes1: Discrete Stochastic Delay Modelling and Simulation. PLoS Computational Biology 2(9) (2006)
    • (2006) PLoS Computational Biology , vol.2 , Issue.9
    • Barrio, M.1    Burrage, K.2    Leier, A.3    Tian, T.4
  • 3
    • 0036986139 scopus 로고    scopus 로고
    • Permanence of an SIR epidemic model with distributed time delays
    • Beretta, E., Hara, T., Ma, W., Takeuchi, Y.: Permanence of an SIR Epidemic Model with Distributed Time Delays. Tohoku Mathematical Journal 54(2), 581-591 (2002) (Pubitemid 36177504)
    • (2002) Tohoku Mathematical Journal , vol.54 , Issue.4 , pp. 581-591
    • Ma, W.1    Takeuchi, Y.2    Hara, T.3    Beretta, E.4
  • 5
    • 34047136657 scopus 로고    scopus 로고
    • Exact stochastic simulation of coupled chemical reactions with delays
    • Cai, X.: Exact Stochastic Simulation of Coupled Chemical Reactions with Delays. J. Ch. Phys. 126, 124108 (2007)
    • (2007) J. Ch. Phys. , vol.126 , pp. 124108
    • Cai, X.1
  • 6
    • 22944480262 scopus 로고    scopus 로고
    • The slow-scale stochastic simulation algorithm
    • Cao, Y., Gillespie, D., Petzold, L.: The Slow-scale Stochastic Simulation Algorithm. J. Ch. Phys. 122, 14116 (2005)
    • (2005) J. Ch. Phys. , vol.122 , pp. 14116
    • Cao, Y.1    Gillespie, D.2    Petzold, L.3
  • 7
    • 0034108662 scopus 로고    scopus 로고
    • + T-cells
    • DOI 10.1016/S0025-5564(00)00006-7, PII S0025556400000067
    • Culshaw, R.V., Ruan, S.: A Delay-differential Equation Model of HIV Infection of CD4+ T-cells. Mathematical Biosciences 165, 27-39 (2000) (Pubitemid 30305420)
    • (2000) Mathematical Biosciences , vol.165 , Issue.1 , pp. 27-39
    • Culshaw, R.V.1    Ruan, S.2
  • 8
    • 0035933994 scopus 로고    scopus 로고
    • Approximate accelerated stochastic simulation of chemically reacting systems
    • Gillespie, D.: Approximate Accelerated Stochastic Simulation of Chemically Reacting Systems. J. Phys. Ch. 115, 1716 (2001)
    • (2001) J. Phys. Ch. , vol.115 , pp. 1716
    • Gillespie, D.1
  • 9
    • 33645429016 scopus 로고    scopus 로고
    • Exact stochastic simulation of coupled chemical reactions
    • Gillespie, D.: Exact Stochastic Simulation of Coupled Chemical Reactions. J. Phys. Ch. 81, 2340
    • J. Phys. Ch. , vol.81 , pp. 2340
    • Gillespie, D.1
  • 10
    • 0035460603 scopus 로고    scopus 로고
    • Predator-prey models with delay and prey harvesting
    • Martin, A., Ruan, S.: Predator-prey Models with Delay and Prey Harvesting. J. Math. Biol. 43(3), 247-267 (2001) (Pubitemid 33773344)
    • (2001) Journal of Mathematical Biology , vol.43 , Issue.3 , pp. 247-267
    • Martin, A.1    Ruan, S.2
  • 11
    • 33645306314 scopus 로고    scopus 로고
    • Time petri nets for modelling and analysis of biochemical networks
    • Popova-Zeugmann, L., Heiner, M., Koch, I.: Time Petri Nets for Modelling and Analysis of Biochemical Networks. Fundamenta Informaticae 67, 149-162 (2005)
    • (2005) Fundamenta Informaticae , vol.67 , pp. 149-162
    • Popova-Zeugmann, L.1    Heiner, M.2    Koch, I.3
  • 13
    • 49549101799 scopus 로고    scopus 로고
    • A delay stochastic process with applications in molecular biology
    • Schlicht, R., Winkler, S.: A Delay Stochastic Process with Applications in Molecular Biology. J. Math. Biol. 57, 613-648 (2008)
    • (2008) J. Math. Biol. , vol.57 , pp. 613-648
    • Schlicht, R.1    Winkler, S.2
  • 14
    • 1442290947 scopus 로고    scopus 로고
    • A delay differential equation model for tumor growth
    • DOI 10.1007/s00285-003-0211-0
    • Villasana, M., Radunskaya, A.: A Delay Differential Equation Model for Tumor Growth. J. Math. Biol. 47, 270-294 (2003) (Pubitemid 38272158)
    • (2003) Journal of Mathematical Biology , vol.47 , Issue.3 , pp. 270-294
    • Villasana, M.1    Radunskaya, A.2
  • 15
    • 41949125685 scopus 로고    scopus 로고
    • Global stability of an SIR epidemic model with constant infectious period
    • Zhanga, F., Lia, Z., Zhangc, F.: Global Stability of an SIR Epidemic Model with Constant Infectious Period. Applied Mathematics and Computation 199(1), 285-291 (2008)
    • (2008) Applied Mathematics and Computation , vol.199 , Issue.1 , pp. 285-291
    • Zhanga, F.1    Lia, Z.2    Zhangc, F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.