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Volumn 181, Issue 1-2, 2003, Pages 80-101

Pattern formation in spatially heterogeneous Turing reaction-diffusion models

Author keywords

Pattern formation; Self organised spatial pattern; Turing reaction diffusion models

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; DIFFUSION;

EID: 0037671486     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(03)00068-X     Document Type: Article
Times cited : (89)

References (37)
  • 1
    • 0033038309 scopus 로고    scopus 로고
    • A two-dimensional numerical study of spatial pattern formation in interacting Turing systems
    • Barrio R.A., Varea C., Aragon J.L., Maini P.K., A two-dimensional numerical study of spatial pattern formation in interacting Turing systems. Bull. Math. Biol. 61:1999;483-505.
    • (1999) Bull. Math. Biol. , vol.61 , pp. 483-505
    • Barrio, R.A.1    Varea, C.2    Aragon, J.L.3    Maini, P.K.4
  • 2
    • 0000255576 scopus 로고
    • Diffusion driven instability in an inhomogeneous domain
    • Benson D.L., Sherratt J.A., Maini P.K., Diffusion driven instability in an inhomogeneous domain. Bull. Math. Biol. 55:1993;365-384.
    • (1993) Bull. Math. Biol. , vol.55 , pp. 365-384
    • Benson, D.L.1    Sherratt, J.A.2    Maini, P.K.3
  • 3
    • 0031282505 scopus 로고    scopus 로고
    • Limb development: Marginal fringe benefits
    • Blair S.S., Limb development: marginal fringe benefits. Curr. Biol. 7:1997;R686-R690.
    • (1997) Curr. Biol. , vol.7
    • Blair, S.S.1
  • 4
    • 0025938229 scopus 로고
    • Retinoic acid modulates gap junctional permeability: A comparative study of dye spreading and ionic coupling in cultured cells
    • Bruemmer F., Zempel G., Buehle P., Stein J.-C., Huesler D.F., Retinoic acid modulates gap junctional permeability: a comparative study of dye spreading and ionic coupling in cultured cells. Exp. Cell. Res. 196:1991;158-163.
    • (1991) Exp. Cell. Res. , vol.196 , pp. 158-163
    • Bruemmer, F.1    Zempel, G.2    Buehle, P.3    Stein, J.-C.4    Huesler, D.F.5
  • 5
    • 5544250703 scopus 로고
    • Experimental evidence of a sustained standing Turing-type nonequilibrium chemical pattern
    • Castets V., Dulos E., Boissonade J., De Kepper P., Experimental evidence of a sustained standing Turing-type nonequilibrium chemical pattern. Phys. Rev. Lett. 64:1990;2953-2956.
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 2953-2956
    • Castets, V.1    Dulos, E.2    Boissonade, J.3    De Kepper, P.4
  • 6
    • 0026336584 scopus 로고
    • A gradient of gap junctional communication along the anterior-posterior axis of the developing chick limb bud
    • Coelho C.N.D., Cosher R.A., A gradient of gap junctional communication along the anterior-posterior axis of the developing chick limb bud. Dev. Biol. 148:1991;529-535.
    • (1991) Dev. Biol. , vol.148 , pp. 529-535
    • Coelho, C.N.D.1    Cosher, R.A.2
  • 7
    • 33747373791 scopus 로고
    • Pattern formation in generalized Turing systems. I. Steady-state patterns in systems with mixed boundary conditions
    • Dillon R., Maini P.K., Othmer H.G., Pattern formation in generalized Turing systems. I. Steady-state patterns in systems with mixed boundary conditions. J. Math. Biol. 32:1994;345-393.
    • (1994) J. Math. Biol. , vol.32 , pp. 345-393
    • Dillon, R.1    Maini, P.K.2    Othmer, H.G.3
  • 9
    • 0030845799 scopus 로고    scopus 로고
    • Serrate-mediated activation of Notch is specifically blocked by the product of the gene fringe in the dorsal compartment of the Drosophila wing imaginal disc
    • Fleming R.J., Gu Y., Hukriede N.A., Serrate-mediated activation of Notch is specifically blocked by the product of the gene fringe in the dorsal compartment of the Drosophila wing imaginal disc. Development. 124:1997;2973-2981.
    • (1997) Development , vol.124 , pp. 2973-2981
    • Fleming, R.J.1    Gu, Y.2    Hukriede, N.A.3
  • 10
    • 0015454185 scopus 로고
    • A theory of biological pattern formation
    • Gierer A., Meinhardt H., A theory of biological pattern formation. Kybernetik. 12:1972;30-39.
    • (1972) Kybernetik , vol.12 , pp. 30-39
    • Gierer, A.1    Meinhardt, H.2
  • 11
    • 0027328670 scopus 로고
    • Is morphogenesis an intrinsically robust process?
    • B.C. Goodwin, S. Kaufmann, J.D. Murray, Is morphogenesis an intrinsically robust process?, J. Theor. Biol. 163 (1993)135-144.
    • (1993) J. Theor. Biol. , vol.163 , pp. 135-144
    • Goodwin, B.C.1    Kaufmann, S.2    Murray, J.D.3
  • 13
    • 0000824696 scopus 로고
    • Bifurcation in a spherical reaction-diffusion system with imposed gradient
    • A. Hunding, M. Brøns, Bifurcation in a spherical reaction-diffusion system with imposed gradient, Physica D 44 (1990) 285-302.
    • (1990) Physica D , vol.44 , pp. 285-302
    • Hunding, A.1    Brøns, M.2
  • 14
    • 0033523278 scopus 로고    scopus 로고
    • Fringe, Notch, and making developmental boundaries
    • Irvine K.D., Fringe, Notch, and making developmental boundaries. Curr. Opin. Gen. Dev. 9:1999;434-441.
    • (1999) Curr. Opin. Gen. Dev. , vol.9 , pp. 434-441
    • Irvine, K.D.1
  • 15
    • 0035178997 scopus 로고    scopus 로고
    • Boundaries in development: Formation and function
    • Irvine K.D., Rauskolb C., Boundaries in development: formation and function. Annu. Rev. Cell Dev. Biol. 17:2001;189-214.
    • (2001) Annu. Rev. Cell Dev. Biol. , vol.17 , pp. 189-214
    • Irvine, K.D.1    Rauskolb, C.2
  • 16
    • 0031713635 scopus 로고    scopus 로고
    • Interactions among Delta, Serrate and Fringe modulate Notch activity during Drosophila wing development
    • Klein T., Martinez Arias A., Interactions among Delta, Serrate and Fringe modulate Notch activity during Drosophila wing development. Development. 125:1998;2951-2962.
    • (1998) Development , vol.125 , pp. 2951-2962
    • Klein, T.1    Martinez Arias, A.2
  • 20
    • 0020743875 scopus 로고    scopus 로고
    • Cell determination boundaries as organizing regions of secondary embryonic fields
    • Meinhardt H., Cell determination boundaries as organizing regions of secondary embryonic fields. Dev. Biol. 96:1996;375-385.
    • (1996) Dev. Biol. , vol.96 , pp. 375-385
    • Meinhardt, H.1
  • 21
    • 0019382427 scopus 로고
    • A pre-pattern formation mechanism for animal coat markings
    • Murray J.D., A pre-pattern formation mechanism for animal coat markings. J. Theor. Biol. 88:1981;161-199.
    • (1981) J. Theor. Biol. , vol.88 , pp. 161-199
    • Murray, J.D.1
  • 23
    • 84970602351 scopus 로고
    • The reaction-diffusion (RD) theory of wool (hair) follicle initiation and development. II. Original secondary follicles
    • Nagorka B.N., The reaction-diffusion (RD) theory of wool (hair) follicle initiation and development. II. Original secondary follicles. Aust. J. Agric. Res. 46:1995;357-378.
    • (1995) Aust. J. Agric. Res. , vol.46 , pp. 357-378
    • Nagorka, B.N.1
  • 24
    • 0004886542 scopus 로고
    • Scale-invariance in reaction-diffusion models of spatial pattern formation
    • Othmer H.G., Pate E., Scale-invariance in reaction-diffusion models of spatial pattern formation. PNAS. 77:1980;4180-4184.
    • (1980) PNAS , vol.77 , pp. 4180-4184
    • Othmer, H.G.1    Pate, E.2
  • 26
    • 0030756962 scopus 로고    scopus 로고
    • Fringe modulates Notch-ligand interactions
    • Panin V.M., Papayannopoulos V., Irvine K.D., Fringe modulates Notch-ligand interactions. Nature. 387:1997;908-912.
    • (1997) Nature , vol.387 , pp. 908-912
    • Panin, V.M.1    Papayannopoulos, V.2    Irvine, K.D.3
  • 27
    • 0018784247 scopus 로고
    • Simple chemical kinetics with limit cycle behaviour
    • Schnakenberg J., Simple chemical kinetics with limit cycle behaviour. J. Theor. Biol. 81:1979;389-400.
    • (1979) J. Theor. Biol. , vol.81 , pp. 389-400
    • Schnakenberg, J.1
  • 28
    • 0031046646 scopus 로고    scopus 로고
    • Growth factors in the extracellular matrix
    • Taipale J., Keski-Oja J., Growth factors in the extracellular matrix. FASEB J. 11:1997;51-59.
    • (1997) FASEB J. , vol.11 , pp. 51-59
    • Taipale, J.1    Keski-Oja, J.2
  • 29
    • 0035434660 scopus 로고    scopus 로고
    • Genetics of morphogen gradients
    • Tabata T., Genetics of morphogen gradients. Nat. Rev. Gen. 2:2001;620-630.
    • (2001) Nat. Rev. Gen. , vol.2 , pp. 620-630
    • Tabata, T.1
  • 31
    • 0002011401 scopus 로고
    • The chemical basis of morphogenesis
    • Turing A.M., The chemical basis of morphogenesis. Phil. Trans. R. Soc. 237:1952;37-72.
    • (1952) Phil. Trans. R. Soc. , vol.237 , pp. 37-72
    • Turing, A.M.1
  • 33
    • 0014593403 scopus 로고
    • Positional information and the spatial pattern of cellular differentiation
    • Wolpert L., Positional information and the spatial pattern of cellular differentiation. J. Theor. Biol. 25:1969;1-47.
    • (1969) J. Theor. Biol. , vol.25 , pp. 1-47
    • Wolpert, L.1
  • 34
    • 0000371382 scopus 로고
    • The effects of spatial heterogeneity in population dynamics
    • Cantrell R.S., Cosner C., The effects of spatial heterogeneity in population dynamics. J. Math. Biol. 29:1991;315-338.
    • (1991) J. Math. Biol. , vol.29 , pp. 315-338
    • Cantrell, R.S.1    Cosner, C.2
  • 35
    • 0002197942 scopus 로고
    • Spatial heterogeneity and inter-specific competition
    • Pacala S.W., Roughgarden J., Spatial heterogeneity and inter-specific competition. Theor. Popn. Biol. 21:1982;92-113.
    • (1982) Theor. Popn. Biol. , vol.21 , pp. 92-113
    • Pacala, S.W.1    Roughgarden, J.2
  • 36
    • 0002786781 scopus 로고
    • Spatial distribution of rapidly dispersing animals in heterogeneous environments
    • S.A. Levin, T.G. Hallam (Eds.), Springer, Heidelberg
    • N. Shigesada, Spatial distribution of rapidly dispersing animals in heterogeneous environments, in: S.A. Levin, T.G. Hallam (Eds.), Lecture Notes in Biomathematics, vol. 54, Springer, Heidelberg, 1984, pp. 478-491.
    • (1984) Lecture Notes in Biomathematics , vol.54 , pp. 478-491
    • Shigesada, N.1
  • 37
    • 38249023726 scopus 로고
    • Wavelength selection mechanism in the Gierer-Meinhardt model
    • Tarumi K., Mueller E., Wavelength selection mechanism in the Gierer-Meinhardt model. Bull. Math. Biol. 51:1989;207-216.
    • (1989) Bull. Math. Biol. , vol.51 , pp. 207-216
    • Tarumi, K.1    Mueller, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.