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Volumn 22, Issue 5, 2009, Pages 646-650

On the coupling of higher and lower scales using the mathematical kinetic theory of active particles

Author keywords

Active particles; Complexity; Kinetic theory; Living systems; Multiscale

Indexed keywords

ACTIVE PARTICLES; COMPLEXITY; DIFFERENT SCALE; INTERACTING SYSTEMS; LIVING SYSTEMS; MATHEMATICAL FRAMEWORKS; MATHEMATICAL STRUCTURES; MOLECULAR SCALE; MULTICELLULAR SYSTEMS; MULTISCALE;

EID: 62249156231     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2008.05.005     Document Type: Article
Times cited : (10)

References (18)
  • 1
    • 0036000662 scopus 로고    scopus 로고
    • Generalized kinetic (Boltzmann) models: Mathematical structures and applications
    • Arlotti L., Bellomo N., and De Angelis E. Generalized kinetic (Boltzmann) models: Mathematical structures and applications. Math. Models Methods Appl. Sci. 12 (2002) 567-591
    • (2002) Math. Models Methods Appl. Sci. , vol.12 , pp. 567-591
    • Arlotti, L.1    Bellomo, N.2    De Angelis, E.3
  • 3
    • 36048964200 scopus 로고    scopus 로고
    • Complex multicellular systems and immune competition: New paradigms looking for a mathematical theory
    • Bellomo N., and Forni G. Complex multicellular systems and immune competition: New paradigms looking for a mathematical theory. Curr. Top. Dev. Biol. 81 (2008) 485-502
    • (2008) Curr. Top. Dev. Biol. , vol.81 , pp. 485-502
    • Bellomo, N.1    Forni, G.2
  • 4
    • 44349107599 scopus 로고    scopus 로고
    • On the foundations of cancer modelling: Selected topics, speculations and perspectives
    • Bellomo N., Li N.K., and Maini P.K. On the foundations of cancer modelling: Selected topics, speculations and perspectives. Math. Models Methods Appl. Sci. 18 (2008) 593-646
    • (2008) Math. Models Methods Appl. Sci. , vol.18 , pp. 593-646
    • Bellomo, N.1    Li, N.K.2    Maini, P.K.3
  • 5
    • 4043181214 scopus 로고    scopus 로고
    • Cancer genes and the pathways they control
    • Vogelstein B., and Kinzler K.W. Cancer genes and the pathways they control. Nat. Med. 10 (2004) 789-799
    • (2004) Nat. Med. , vol.10 , pp. 789-799
    • Vogelstein, B.1    Kinzler, K.W.2
  • 6
    • 35348833450 scopus 로고    scopus 로고
    • Stochastic modeling of loss- and gain-of-function mutation in cancer
    • Komarova N. Stochastic modeling of loss- and gain-of-function mutation in cancer. Math. Models Methods Appl. Sci. 17 (2007) 1647-1674
    • (2007) Math. Models Methods Appl. Sci. , vol.17 , pp. 1647-1674
    • Komarova, N.1
  • 8
    • 33845332311 scopus 로고    scopus 로고
    • Garland Sciences - Taylor and Francis, New York
    • Weinberg R.A. The Biology of Cancer (2007), Garland Sciences - Taylor and Francis, New York
    • (2007) The Biology of Cancer
    • Weinberg, R.A.1
  • 9
    • 33846985641 scopus 로고    scopus 로고
    • Hybrid two scales mathematical tools for active particles modeling complex systems with learning hiding dynamics
    • Cattani C., and Ciancio A. Hybrid two scales mathematical tools for active particles modeling complex systems with learning hiding dynamics. Math. Models Methods Appl. Sci. 17 (2007) 171-188
    • (2007) Math. Models Methods Appl. Sci. , vol.17 , pp. 171-188
    • Cattani, C.1    Ciancio, A.2
  • 10
    • 54049101941 scopus 로고    scopus 로고
    • From the mathematical kinetic, and stochastic game theory to modelling mutations, onset, progression and immune competition of cancer cells
    • Bellomo N., and Delitala M. From the mathematical kinetic, and stochastic game theory to modelling mutations, onset, progression and immune competition of cancer cells. Life Sci. Rev. 5 (2008) 183-206
    • (2008) Life Sci. Rev. , vol.5 , pp. 183-206
    • Bellomo, N.1    Delitala, M.2
  • 12
    • 35248901033 scopus 로고    scopus 로고
    • Conservation laws and asymptotic behavior of a model of social dynamics
    • Bertotti M.G., and Delitala M. Conservation laws and asymptotic behavior of a model of social dynamics. Nonlinear Anal. RWA 9 (2008) 183-196
    • (2008) Nonlinear Anal. RWA , vol.9 , pp. 183-196
    • Bertotti, M.G.1    Delitala, M.2
  • 13
    • 34250806534 scopus 로고    scopus 로고
    • From the kinetic theory of active particles to the modelling of social behaviors and politics
    • Bellomo N., Bertotti M.G., and Delitala M. From the kinetic theory of active particles to the modelling of social behaviors and politics. Quality and Quantity 41 (2007) 545-555
    • (2007) Quality and Quantity , vol.41 , pp. 545-555
    • Bellomo, N.1    Bertotti, M.G.2    Delitala, M.3
  • 14
    • 34249789588 scopus 로고    scopus 로고
    • Mathematical modelling of vehicular traffic: A discrete kinetic theory approach
    • Delitala M., and Tosin A. Mathematical modelling of vehicular traffic: A discrete kinetic theory approach. Math. Models Methods Appl. Sci. 17 (2007) 901-932
    • (2007) Math. Models Methods Appl. Sci. , vol.17 , pp. 901-932
    • Delitala, M.1    Tosin, A.2
  • 15
    • 35348846435 scopus 로고    scopus 로고
    • Multicellular growing systems: Hyperbolic limits towards macroscopic description
    • Bellomo N., Bellouquid A., Nieto J., and Soler J.J. Multicellular growing systems: Hyperbolic limits towards macroscopic description. Math. Models Methods Appl. Sci. 17 (2007) 1675-1693
    • (2007) Math. Models Methods Appl. Sci. , vol.17 , pp. 1675-1693
    • Bellomo, N.1    Bellouquid, A.2    Nieto, J.3    Soler, J.J.4
  • 16
    • 30344453406 scopus 로고    scopus 로고
    • On the onset of nonlinearity for diffusion models of binary mixtures of biological materials by asymptotic analysis
    • Bellomo N., and Bellouquid A. On the onset of nonlinearity for diffusion models of binary mixtures of biological materials by asymptotic analysis. Int. J. Nonlinear Mech. 41 (2007) 281-293
    • (2007) Int. J. Nonlinear Mech. , vol.41 , pp. 281-293
    • Bellomo, N.1    Bellouquid, A.2
  • 18
    • 49449106913 scopus 로고    scopus 로고
    • Continuum limit of self-driven particles with orientation interaction
    • Degond P., and Motsch S. Continuum limit of self-driven particles with orientation interaction. Math. Models Methods Appl. Sci. 18 (2008) 1193-1217
    • (2008) Math. Models Methods Appl. Sci. , vol.18 , pp. 1193-1217
    • Degond, P.1    Motsch, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.