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Volumn 7, Issue 1, 2012, Pages 245-260

Modeling spatial effects in early carcinogenesis: Stochastic versus deterministic reaction-diffusion systems

Author keywords

Cancer modelling; Deterministic; Pattern formation; Reaction diffusion equations; Spike solutions; Stochastic

Indexed keywords

CANCER MODELLING; DETERMINISTIC; PATTERN FORMATION; REACTION DIFFUSION EQUATIONS; STOCHASTIC;

EID: 84856503285     PISSN: 09735348     EISSN: 17606101     Source Type: Journal    
DOI: 10.1051/mmnp/20127111     Document Type: Article
Times cited : (11)

References (11)
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    • Reaction-difusion model of early carcinogenesis : The effects of influx of mutated cells
    • A. Marciniak-Czochra, M. Kimmel. Reaction-difusion model of early carcinogenesis : The effects of influx of mutated cells. Mathematical Modelling of Natural Phenomena, 3 (2008), No. 7, 90-114.
    • (2008) Mathematical Modelling of Natural Phenomena , vol.3 , Issue.7 , pp. 90-114
    • Marciniak-Czochra, A.1    Kimmel, M.2
  • 2
    • 33750118992 scopus 로고    scopus 로고
    • Dynamics of growth and signaling along linear and surface structures in very early tumors
    • DOI 10.1080/10273660600969091, PII R64201H032R6T371
    • A. Marciniak-Czochra, M. Kimmel. Dynamics of growth and signaling along linear and surface structures in very early tumors. Computational & Mathematical Methods in Medicine, 7 (2006), No. 2/3, 189-213. (Pubitemid 44593988)
    • (2006) Computational and Mathematical Methods in Medicine , vol.7 , Issue.2-3 , pp. 189-213
    • Marciniak-Czochra, A.1    Kimmel, M.2
  • 3
    • 35348904369 scopus 로고    scopus 로고
    • Modelling of early lung cancer progression : Influence of growth factor production and cooperation between partially transformed cells
    • A. Marciniak-Czochra, M. Kimmel. Modelling of early lung cancer progression : Influence of growth factor production and cooperation between partially transformed cells. Math. Mod. Meth. Appl. Sci., 17S (2007), 1693-1719.
    • (2007) Math. Mod. Meth. Appl. Sci , vol.17 S , pp. 1693-1719
    • Marciniak-Czochra, A.1    Kimmel, M.2
  • 4
    • 33845907126 scopus 로고    scopus 로고
    • Reaction-diffusion approach to modeling of the spread of early tumors along linear or tubular structures
    • A. Marciniak-Czochra, M. Kimmel. Reaction-diffusion approach to modeling of the spread of early tumors along linear or tubular structures. Journal of Theoretical Biology, 244 (2006), No. 3, 375-387.
    • (2006) Journal of Theoretical Biology , vol.244 , Issue.3 , pp. 375-387
    • Marciniak-Czochra, A.1    Kimmel, M.2
  • 5
    • 61849156793 scopus 로고    scopus 로고
    • Derivation of a macroscopic receptor-based model using homogenization techniques
    • A. Marciniak-Czochra, M. Ptashnyk. Derivation of a macroscopic receptor-based model using homogenization techniques. SIAM J. Math. Anal., 40 (2008), No. 1, 215-237.
    • (2008) SIAM J. Math. Anal. , vol.40 , Issue.1 , pp. 215-237
    • Marciniak-Czochra, A.1    Ptashnyk, M.2
  • 9
    • 33751568004 scopus 로고    scopus 로고
    • Incorporating diffusion in complex geometries into stochastic chemical kinetics simulations
    • S. A. Isaacson, C. S. Peskin. Incorporating diffusion in complex geometries into stochastic chemical kinetics simulations. SIAM J. Scientific Computing, 28 (2006), No. 1, 47-74.
    • (2006) SIAM J. Scientific Computing , vol.28 , Issue.1 , pp. 47-74
    • Isaacson, S.A.1    Peskin, C.S.2
  • 10
    • 44649178886 scopus 로고    scopus 로고
    • A constant-time kinetic monte carlo algorithm for simulation of large biochemical reaction networks
    • May
    • A. Slepoy, A. P. Thompson, S. J. Plimpton. A constant-time kinetic monte carlo algorithm for simulation of large biochemical reaction networks. J. Chem. Phys., 128 (2008), May, 205101.
    • (2008) J. Chem. Phys. , vol.128 , pp. 205101
    • Slepoy, A.1    Thompson, A.P.2    Plimpton, S.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.