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Volumn 46, Issue 6, 2008, Pages 3113-3135

Operator splitting for an immunology model using reaction-diffusion equations with stochastic source terms

Author keywords

Operator splitting; Reaction diffusion; Stochastic differential equations

Indexed keywords

DIFFUSION EQUATIONS; FINITE TIMES; FIRST ORDERS; IMMUNE CELLS; LANGEVIN PROCESSES; NUMERICAL SOLUTIONS; OPERATOR SPLITTING; REACTION-DIFFUSION; SOURCE TERMS; STOCHASTIC DIFFERENTIAL EQUATIONS; STOCHASTIC SYSTEMS; SUPREMUM;

EID: 55349148047     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/070701595     Document Type: Article
Times cited : (5)

References (18)
  • 2
    • 0003448545 scopus 로고    scopus 로고
    • Grad. Stud. Math. 19, American Mathematical Society, Providence, RI
    • L. C. EVANS, Partial Differential Equations, Grad. Stud. Math. 19, American Mathematical Society, Providence, RI, 1998.
    • (1998) Partial Differential Equations
    • EVANS, L.C.1
  • 6
    • 33947201616 scopus 로고    scopus 로고
    • Spatiotemporal programming of a simple inflammatory process
    • T. B. KEPLER AND C. CHAN, Spatiotemporal programming of a simple inflammatory process, Immunol. Rev., 216 (2007), pp. 153-163.
    • (2007) Immunol. Rev , vol.216 , pp. 153-163
    • KEPLER, T.B.1    CHAN, C.2
  • 7
    • 45549109456 scopus 로고    scopus 로고
    • Microsimulation of Inducible Reorganization in Immunity
    • T. S. Deisboeck and J. Y. Kresh, eds, Springer-Verlag, New York
    • T. B. KEPLER, Microsimulation of Inducible Reorganization in Immunity, in Complex Systems Science in BioMedicine, T. S. Deisboeck and J. Y. Kresh, eds., Springer-Verlag, New York, 2006, pp. 437-450.
    • (2006) Complex Systems Science in BioMedicine , pp. 437-450
    • KEPLER, T.B.1
  • 11
    • 55349088179 scopus 로고
    • Numerical integration of stochastic differential equations, Kluwer Academic Publishers Group, Dordrecht
    • G. N. MILSTEIN, Numerical integration of stochastic differential equations, Kluwer Academic Publishers Group, Dordrecht, 1995. Translated and revised from the 1988 Russian original.
    • (1995) Translated and revised from the 1988 Russian original
    • MILSTEIN, G.N.1
  • 13
    • 55349145543 scopus 로고    scopus 로고
    • B. ØKSENDAL, Stochastic Differential Equations, 6th ed., Universitext, Springer-Verlag, Berlin, 2003.
    • B. ØKSENDAL, Stochastic Differential Equations, 6th ed., Universitext, Springer-Verlag, Berlin, 2003.
  • 14
    • 0015128941 scopus 로고
    • Instability and dynamic pattern in cellular networks
    • H. G. OTHMER AND L. E. SCRIVEN, Instability and dynamic pattern in cellular networks, J. Theoret. Biol., 32 (1971), pp. 507-537.
    • (1971) J. Theoret. Biol , vol.32 , pp. 507-537
    • OTHMER, H.G.1    SCRIVEN, L.E.2
  • 15
    • 0034641740 scopus 로고    scopus 로고
    • A model for individual and collective cell movement in dictyostelium discoideum
    • E. PALSSON AND H. G. OTHMER, A model for individual and collective cell movement in dictyostelium discoideum, Proc. Natl. Acad. Sci. USA 97, 2000, pp. 10448- 10453.
    • (2000) Proc. Natl. Acad. Sci. USA , vol.97 , pp. 10448-10453
    • PALSSON, E.1    OTHMER, H.G.2
  • 16
    • 55349146875 scopus 로고    scopus 로고
    • M. E. TAYLOR, Partial Differential Equations III: Nonlinear Equations, Springer-Verlag, New York, 1997, corrected reprint of the 1996 original.
    • M. E. TAYLOR, Partial Differential Equations III: Nonlinear Equations, Springer-Verlag, New York, 1997, corrected reprint of the 1996 original.
  • 18
    • 0025069090 scopus 로고
    • The chemical basis of morphogenesis
    • discussion 119-152
    • A. M. TURING, The chemical basis of morphogenesis, Bull. Math. Biol., 52 (1990), pp. 153-197; discussion 119-152.
    • (1990) Bull. Math. Biol , vol.52 , pp. 153-197
    • TURING, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.