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Volumn 12, Issue 7, 2002, Pages 1007-1034

Hyperbolic models for chemosensitive movement

Author keywords

Chemosensitive movement; Chemotaxis; Keller Segel model; Moment closure; Parabolic limit; Telegraph equation; Transport equations

Indexed keywords


EID: 0036057673     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202502002008     Document Type: Article
Times cited : (116)

References (90)
  • 2
    • 0019188958 scopus 로고
    • Biased random walk model for chemotaxis and related diffusion approximation
    • (1980) J. Math. Biol. , vol.9 , pp. 147-177
    • Alt, W.1
  • 3
    • 0003135551 scopus 로고
    • Singular perturbation of differential integral equations describing biased random walks
    • (1981) J. Reine Angew. Math. , vol.322 , pp. 15-41
    • Alt, W.1
  • 9
    • 0015526205 scopus 로고
    • Chemotaxis in Escherichia coli. Analysis by three-dimensional tracking
    • (1972) Nature , vol.239 , pp. 500-504
    • Berg, H.C.1    Brown, D.A.2
  • 10
    • 0000657461 scopus 로고    scopus 로고
    • Local and global solvability of some parabolic systems modelling chemotaxis
    • (1998) Adv. Math. Sci. Appl. , vol.8 , Issue.2 , pp. 715-743
    • Biler, P.1
  • 20
    • 0034138011 scopus 로고    scopus 로고
    • A generalized transport model for biased cell migration in an anisotropic environment
    • (2000) J. Math. Biol. , vol.40 , pp. 97-135
    • Dickinson, R.B.1
  • 24
    • 0024635815 scopus 로고
    • Quantitative analysis of cell motility and chemotaxis in dictyostelium discoideum by using an image processing system and a novel chemotaxis chamber providing stationary chemical gradients
    • (1989) J. Cell Biol. , vol.108 , pp. 973-984
    • Fisher, P.R.1    Merkl, R.2    Gerisch, G.3
  • 32
    • 84967780428 scopus 로고
    • Stability results for a diffusion equation with functional drift approximating a chemotaxis model
    • (1987) Trans. AMS , vol.300 , Issue.1 , pp. 235-258
    • Greenberg, J.M.1    Alt, W.2
  • 49
    • 84966208077 scopus 로고
    • On explosions of solutions to a system of partial differential equations modelling chemotaxis
    • (1992) Trans. AMS , vol.329 , pp. 819-824
    • Jäger, W.1    Luckhaus, S.2
  • 73
    • 84968478867 scopus 로고
    • Asymptotic analysis of transport processes Bull
    • (1975) AMS , vol.81 , Issue.2 , pp. 330-392
    • Papanicolaou, G.C.1
  • 79
    • 0000103406 scopus 로고
    • Theory of continuum random walks and applications to chemotaxis
    • (1993) Phys. Rev. , vol.E48 , pp. 2553-2568
    • Schnitzer, M.J.1
  • 83
    • 0001928261 scopus 로고    scopus 로고
    • Blow-up of radially symmetric solutions to some systems of partial differential equations modelling chemotaxis
    • (1997) Adv. Math. Sci. Appl. , vol.7 , pp. 79-92
    • Senba, T.1
  • 85
    • 0000802743 scopus 로고
    • Behavioral studies into the mechanism of eukaryotic chemotazis
    • (1990) J. Chem. Ecol. , vol.16 , pp. 133-150
    • Soll, D.R.1
  • 88
    • 0033029398 scopus 로고    scopus 로고
    • Chemotactic responses of dictyostelium discoideum amoebae to a cyclic AMP concentration gradient: Evidence to support spatial mechanism for sensing cyclic AMP
    • (1999) J. Exp. Biol. , vol.202 , pp. 1-12
    • Tani, T.1    Naitoh, Y.2
  • 89
    • 0019799415 scopus 로고
    • Ideal and non-ideal concentration gradient propagation in chemotaxis studies
    • (1981) Exp. Cell Res. , vol.136 , pp. 91-100
    • Vicker, M.G.1
  • 90
    • 0000213514 scopus 로고
    • Continuous shock structure in extended thermodynamics
    • (1995) Phys. Rev. , vol.E52 , pp. 5760
    • Weiss, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.