메뉴 건너뛰기




Volumn 9, Issue 4, 2014, Pages

Comparing stochastic differential equations and agent-based modelling and simulation for early-stage cancer

Author keywords

[No Author keywords available]

Indexed keywords

INTERLEUKIN 2; TRANSFORMING GROWTH FACTOR BETA;

EID: 84899698891     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0095150     Document Type: Article
Times cited : (57)

References (35)
  • 1
    • 84884195617 scopus 로고    scopus 로고
    • Investigating mathematical models of immunointeractions with early-stage cancer under an agent-based modelling perspective
    • Figueredo GP, Siebers PO, Aickelin U (2013) Investigating mathematical models of immunointeractions with early-stage cancer under an agent-based modelling perspective. BMC Bioinformatics 14.
    • (2013) BMC Bioinformatics , vol.14
    • Figueredo, G.P.1    Siebers, P.O.2    Aickelin, U.3
  • 3
    • 0017030517 scopus 로고
    • A general method for numerically simulating the stochastic time evolution of coupled chemical reactions
    • Gillespie DT (1976) A general method for numerically simulating the stochastic time evolution of coupled chemical reactions. Journal of Computational Physics 22: 403-434.
    • (1976) Journal of Computational Physics , vol.22 , pp. 403-434
    • Gillespie, D.T.1
  • 4
    • 33645429016 scopus 로고
    • Exact stochastic simulation of coupled chemical reactions
    • Gillespie DT (1977) Exact stochastic simulation of coupled chemical reactions. The Journal of Physical Chemistry 81: 2340-2361.
    • (1977) The Journal of Physical Chemistry , vol.81 , pp. 2340-2361
    • Gillespie, D.T.1
  • 6
    • 79960376019 scopus 로고    scopus 로고
    • Interactions between the immune system and cancer: A brief review of non-spatial mathematical models
    • Eftimie R, Bramson JL, Earn DJ (2010) Interactions between the immune system and cancer: A brief review of non-spatial mathematical models. Bulletin of Mathematical Biology.
    • (2010) Bulletin of Mathematical Biology
    • Eftimie, R.1    Bramson, J.L.2    Earn, D.J.3
  • 7
    • 79954607446 scopus 로고    scopus 로고
    • Mathematical modeling predicts synergistic antitumor effects of combining a macrophage-based, hypoxia-targeted gene therapy with chemotherapy
    • Owen MR, Stamper IJ, Muthana M, Richardson GW, Dobson J, et al. (2011) Mathematical modeling predicts synergistic antitumor effects of combining a macrophage-based, hypoxia-targeted gene therapy with chemotherapy. Cancer Res 71: 2826-2837.
    • (2011) Cancer Res , vol.71 , pp. 2826-2837
    • Owen, M.R.1    Stamper, I.J.2    Muthana, M.3    Richardson, G.W.4    Dobson, J.5
  • 9
    • 0032160863 scopus 로고    scopus 로고
    • Modeling immunotherapy of the tumor - Immune interaction
    • Kirschner D, Panneta JC (1998) Modelling immunotherapy of the tumor immune interaction. J Math Biol 1: 235-252. (Pubitemid 128735308)
    • (1998) Journal of Mathematical Biology , vol.37 , Issue.3 , pp. 235-252
    • Kirschner, D.1    Panetta, J.C.2
  • 10
    • 3042594418 scopus 로고    scopus 로고
    • A mathematical model of the effects of hypoxia on the cell-cycle of normal and cancer cells
    • DOI 10.1016/j.jtbi.2004.04.016, PII S0022519304001493
    • Alarcón T, Byrne HM, Maini PK (2004) A mathematical model of the effects of hypoxia on the cell-cycle of normal and cancer cells. J Theor Biol 229: 395-411. (Pubitemid 38844943)
    • (2004) Journal of Theoretical Biology , vol.229 , Issue.3 , pp. 395-411
    • Alarcon, T.1    Byrne, H.M.2    Maini, P.K.3
  • 11
    • 33750093051 scopus 로고    scopus 로고
    • Multiscale modelling of tumour growth and therapy: The influence of vessel normalisation on chemotherapy
    • DOI 10.1080/10273660600968994, PII N82P404106066N11
    • Alarcón T, Owen MR, Byrne HM, Maini PK (2006) Multiscale modelling of tumour growth and therapy: the influence of vessel normalisation on chemotherapy. Comp and Math Meth Med 7: 85-119. (Pubitemid 44593983)
    • (2006) Computational and Mathematical Methods in Medicine , vol.7 , Issue.2-3 , pp. 85-119
    • Alarcon, T.1    Owen, M.R.2    Byrne, H.M.3    Maini, P.K.4
  • 12
    • 0142248828 scopus 로고    scopus 로고
    • A cellular automaton model for tumour growth in inhomogeneous environment
    • DOI 10.1016/S0022-5193(03)00244-3
    • Alarcón T, Byrne HM, Maini PK (2003) A cellular automaton model for tumour growth in inhomogeneous environment. J Theor Biol 225: 257-274. (Pubitemid 37324088)
    • (2003) Journal of Theoretical Biology , vol.225 , Issue.2 , pp. 257-274
    • Alarcon, T.1    Byrne, H.M.2    Maini, P.K.3
  • 13
    • 58349101505 scopus 로고    scopus 로고
    • Angiogenesis and vascular remodelling in normal and cancerous tissues
    • Owen MR, Alarcón T, Maini PK, Byrne HM (2009) Angiogenesis and vascular remodelling in normal and cancerous tissues. J Math Biol 58: 689-721.
    • (2009) J Math Biol , vol.58 , pp. 689-721
    • Owen, M.R.1    Alarcón, T.2    Maini, P.K.3    Byrne, H.M.4
  • 15
    • 33947283687 scopus 로고    scopus 로고
    • The evolution of mathematical immunology
    • Louzoun Y (2007) The evolution of mathematical immunology. Immunological Reviews 216: 9-20.
    • (2007) Immunological Reviews , vol.216 , pp. 9-20
    • Louzoun, Y.1
  • 17
    • 77549085667 scopus 로고    scopus 로고
    • Analysis of a stochastic SIR epidemic on a random network incorporating household structure
    • Ball F, Sirl D, Trapman P (2010) Analysis of a stochastic SIR epidemic on a random network incorporating household structure. Math Biosci 224: 53-73.
    • (2010) Math Biosci , vol.224 , pp. 53-73
    • Ball, F.1    Sirl, D.2    Trapman, P.3
  • 18
  • 22
    • 61849110802 scopus 로고    scopus 로고
    • Heterogeneity and network structure in the dynamics of diffusion: Comparing agent-based and differential equation models
    • Ramandad H, Sterman J (2008) Heterogeneity and network structure in the dynamics of diffusion: Comparing agent-based and differential equation models. Management Science 5.
    • (2008) Management Science , vol.5
    • Ramandad, H.1    Sterman, J.2
  • 28
  • 29
    • 0001449665 scopus 로고
    • A new product growth for model consumer durables
    • Bass FM (1969) A new product growth for model consumer durables. Management Science 15: 215-227.
    • (1969) Management Science , vol.15 , pp. 215-227
    • Bass, F.M.1
  • 32
    • 0001144902 scopus 로고    scopus 로고
    • Efficient exact stochastic simulation of chemical systems with many species and many channels
    • Gibson M, Bruck J (2000) Efficient exact stochastic simulation of chemical systems with many species and many channels. J Phys Chem A104: 1876-1889.
    • (2000) J Phys Chem , vol.A104 , pp. 1876-1889
    • Gibson, M.1    Bruck, J.2
  • 35
    • 4344613538 scopus 로고    scopus 로고
    • A sample size computation method for non-linear mixed effects models with applications to pharmacokinetics models
    • DOI 10.1002/sim.1695
    • Kang D, Schwartz JB, Verotta D (2004) A sample size computation method for non-linear mixed effects models with applications to pharmacokinetics models. Statistics in Medicine 23: 2551-2566. (Pubitemid 39149267)
    • (2004) Statistics in Medicine , vol.23 , Issue.16 , pp. 2551-2566
    • Kang, D.1    Schwartz, J.B.2    Verotta, D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.