메뉴 건너뛰기




Volumn 17, Issue 7, 2001, Pages 901-909

Fourier analysis of Turing-like pattern formation in cellular automaton models

Author keywords

Boltzmann equation; Cellular automaton; Lattice gas automaton; Mean field analysis; Turing pattern

Indexed keywords

APPROXIMATION THEORY; CELLULAR ARRAYS; DIFFERENCE EQUATIONS; FOURIER TRANSFORMS; MATHEMATICAL MODELS; TURING MACHINES;

EID: 0035336689     PISSN: 0167739X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-739X(00)00068-6     Document Type: Article
Times cited : (25)

References (14)
  • 1
    • 5544250703 scopus 로고
    • Experimental evidence of a sustained Turing-type nonequilibrium chemical pattern
    • Castets V., Dulos E., Boissonade J., DeKepper P. Experimental evidence of a sustained Turing-type nonequilibrium chemical pattern. Phys. Rev. Lett. 64:1990;2953.
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 2953
    • Castets, V.1    Dulos, E.2    Boissonade, J.3    Dekepper, P.4
  • 4
    • 0015454185 scopus 로고
    • A theory of biological pattern formation
    • Gierer A., Meinhardt H. A theory of biological pattern formation. Kybernetik. 12:1972;29-30.
    • (1972) Kybernetik , vol.12 , pp. 29-30
    • Gierer, A.1    Meinhardt, H.2
  • 5
    • 0002713376 scopus 로고
    • Molecular Turing structures in the biochemistry of the cell
    • Hasslacher B., Kapral R., Lawniczak A.T. Molecular Turing structures in the biochemistry of the cell. Chaos. 3:1993;7-13.
    • (1993) Chaos , vol.3 , pp. 7-13
    • Hasslacher, B.1    Kapral, R.2    Lawniczak, A.T.3
  • 6
    • 0000355099 scopus 로고
    • Oscillations and waves in a reactive lattice-gas automaton
    • Kapral R., Lawniczak A.T., Masiar P. Oscillations and waves in a reactive lattice-gas automaton. Phys. Rev. Lett. 66:1991;2539-2542.
    • (1991) Phys. Rev. Lett. , vol.66 , pp. 2539-2542
    • Kapral, R.1    Lawniczak, A.T.2    Masiar, P.3
  • 7
    • 0009545247 scopus 로고
    • Reactive dynamics in a multispecies lattice-gas automaton
    • Kapral R., Lawniczak A.T., Masiar P. Reactive dynamics in a multispecies lattice-gas automaton. J. Chem. Phys. 94:1992;2762-2776.
    • (1992) J. Chem. Phys. , vol.94 , pp. 2762-2776
    • Kapral, R.1    Lawniczak, A.T.2    Masiar, P.3
  • 9
    • 0343824619 scopus 로고
    • Turing structures in a semi-random cellular automaton
    • in: J. Demongeot, V. Caspasso (Eds.), Wuerz, Winnipeg
    • M. Markus, H. Schepers, Turing structures in a semi-random cellular automaton, in: J. Demongeot, V. Caspasso (Eds.), Mathematics Applied to Biology and Medicine, Wuerz, Winnipeg, 1994.
    • (1994) Mathematics Applied to Biology and Medicine
    • Markus, M.1    Schepers, H.2
  • 11
    • 34047187677 scopus 로고
    • Transitions from a uniform state to hexagonal and striped patterns
    • Ouyang Q., Swinney H.L. Transitions from a uniform state to hexagonal and striped patterns. Nature. 352:1990;610.
    • (1990) Nature , vol.352 , pp. 610
    • Ouyang, Q.1    Swinney, H.L.2
  • 13
    • 0002011401 scopus 로고
    • The chemical basis of morphogenesis
    • Turing A.M. The chemical basis of morphogenesis. Philos. Trans. R. Soc. London. 237:1952;37-72.
    • (1952) Philos. Trans. R. Soc. London , vol.237 , pp. 37-72
    • Turing, A.M.1
  • 14
    • 0021738836 scopus 로고
    • A local activator-inhibitor model of vertebrate skin patterns
    • D.A. Young, A local activator-inhibitor model of vertebrate skin patterns, Math. Biosci. 72 (1984) 51-58.
    • (1984) Math. Biosci. , vol.72 , pp. 51-58
    • Young, D.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.