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Volumn 173, Issue 1-2, 2002, Pages 59-76

Waves and propagation failure in discrete space models with nonlinear coupling and feedback

Author keywords

Bistable; Delta Notch; Discrete space; Juxtacrine; Pinning; Propagation failure

Indexed keywords

BOUNDARY VALUE PROBLEMS; CELLS; COMPUTER SIMULATION; FEEDBACK; LYAPUNOV METHODS; MATHEMATICAL MODELS; REACTION KINETICS;

EID: 0036888266     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(02)00620-6     Document Type: Article
Times cited : (18)

References (29)
  • 1
  • 3
    • 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
  • 4
    • 0032492436 scopus 로고    scopus 로고
    • Mechanisms for positional signalling by morphogen transport: A theoretical study
    • Kerszberg M., Wolpert L., Mechanisms for positional signalling by morphogen transport: a theoretical study J. Theor. Biol. 191 1998 103-114.
    • (1998) J. Theor. Biol. , vol.191 , pp. 103-114
    • Kerszberg, M.1    Wolpert, L.2
  • 5
    • 0036080430 scopus 로고    scopus 로고
    • Do morphogen gradients arise by diffusion
    • Lander A.D., Nie Q., Wan F.W.M., Do morphogen gradients arise by diffusion Dev. Cell. 2 2002 785-796.
    • (2002) Dev. Cell. , vol.2 , pp. 785-796
    • Lander, A.D.1    Nie, Q.2    Wan, F.W.M.3
  • 7
    • 0034126335 scopus 로고    scopus 로고
    • Clock and induction model for somitogenesis
    • Schnell S., Maini P.K., Clock and induction model for somitogenesis Dev. Dyn. 217 2000 415-420.
    • (2000) Dev. Dyn. , vol.217 , pp. 415-420
    • Schnell, S.1    Maini, P.K.2
  • 8
    • 0028670620 scopus 로고
    • Delta-Notch signalling and Drosophila cell fate choice
    • Muskavitch M.A.T., Delta-Notch signalling and Drosophila cell fate choice Dev. Biol. 166 1994 415-430.
    • (1994) Dev. Biol. , vol.166 , pp. 415-430
    • Muskavitch, M.A.T.1
  • 9
    • 0030572733 scopus 로고    scopus 로고
    • Short-range signalling by candidate morphogens of the TGF beta family and evidence for a relay mechanism of induction
    • Reilly K.M., Melton D.A., Short-range signalling by candidate morphogens of the TGF beta family and evidence for a relay mechanism of induction Cell 86 1996 743-754.
    • (1996) Cell , vol.86 , pp. 743-754
    • Reilly, K.M.1    Melton, D.A.2
  • 11
    • 0030589575 scopus 로고    scopus 로고
    • Cell contact dependent signalling
    • Fagotto F., Gumbiner B.M., Cell contact dependent signalling Dev. Biol. 180 1996 445-454.
    • (1996) Dev. Biol. , vol.180 , pp. 445-454
    • Fagotto, F.1    Gumbiner, B.M.2
  • 12
    • 0034925611 scopus 로고    scopus 로고
    • The EGF receptor and notch signalling pathways control the initiation of the morphogenetic furrow during Drosophila eye development
    • Kumar J.P., Moses K., The EGF receptor and notch signalling pathways control the initiation of the morphogenetic furrow during Drosophila eye development Development 128 2001 2689-2697.
    • (2001) Development , vol.128 , pp. 2689-2697
    • Kumar, J.P.1    Moses, K.2
  • 13
    • 0030597511 scopus 로고    scopus 로고
    • Pattern formation by lateral inhibition with feedback: A mathematical model of Delta-Notch intercellular signalling
    • Collier J.R., Monk N.A.M., Maini P.K., Lewis J.H., Pattern formation by lateral inhibition with feedback: a mathematical model of Delta-Notch intercellular signalling J. Theor. Biol. 183 1996 429-446.
    • (1996) J. Theor. Biol. , vol.183 , pp. 429-446
    • Collier, J.R.1    Monk, N.A.M.2    Maini, P.K.3    Lewis, J.H.4
  • 14
    • 0032213758 scopus 로고    scopus 로고
    • Mathematical modelling of juxtacrine cell signalling
    • Owen M.R., Sherratt J.A., Mathematical modelling of juxtacrine cell signalling Math. Biosci. 152 1998 125-150.
    • (1998) Math. Biosci. , vol.152 , pp. 125-150
    • Owen, M.R.1    Sherratt, J.A.2
  • 15
    • 0033955578 scopus 로고    scopus 로고
    • Lateral induction by juxtacrine signalling is a new mechanism for pattern formation
    • Owen M.R., Sherratt J.A., Wearing H.J., Lateral induction by juxtacrine signalling is a new mechanism for pattern formation Dev. Biol. 217 2000 54-61.
    • (2000) Dev. Biol. , vol.217 , pp. 54-61
    • Owen, M.R.1    Sherratt, J.A.2    Wearing, H.J.3
  • 17
    • 0032170006 scopus 로고    scopus 로고
    • Restricted-range gradients and travelling fronts in a model of juxtacrine cell relay
    • Monk N.A.M., Restricted-range gradients and travelling fronts in a model of juxtacrine cell relay Bull. Math. Biol. 60 1998 901-918.
    • (1998) Bull. Math. Biol. , vol.60 , pp. 901-918
    • Monk, N.A.M.1
  • 19
    • 0035925035 scopus 로고    scopus 로고
    • A model of primitive streak initiation in the chick embryo
    • Page K.M., Maini P.K., Monk N.A.M., Stern C.D., A model of primitive streak initiation in the chick embryo J. Theor. Biol. 208 2001 419-438.
    • (2001) J. Theor. Biol. , vol.208 , pp. 419-438
    • Page, K.M.1    Maini, P.K.2    Monk, N.A.M.3    Stern, C.D.4
  • 20
    • 0035948026 scopus 로고    scopus 로고
    • Wave front depinning transition in discrete one-dimensional reaction-diffusion systems
    • Carpio A., Bonilla K.K., Wave front depinning transition in discrete one-dimensional reaction-diffusion systems Phys. Rev. Lett. 86 2001 6034-6037.
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 6034-6037
    • Carpio, A.1    Bonilla, K.K.2
  • 21
    • 0033164119 scopus 로고    scopus 로고
    • Analysis and computation of travelling wave solutions of bistable differential-difference equations
    • Elmer C.E., Van Vleck E.S., Analysis and computation of travelling wave solutions of bistable differential-difference equations Nonlinearity 12 1999 771-798.
    • (1999) Nonlinearity , vol.12 , pp. 771-798
    • Elmer, C.E.1    Van Vleck, E.S.2
  • 22
    • 0023362335 scopus 로고
    • Propagation failure in coupled systems of discrete excitable cells
    • Keener J.P., Propagation failure in coupled systems of discrete excitable cells SIAM J. Appl. Math. 47 1987 556-572.
    • (1987) SIAM J. Appl. Math. , vol.47 , pp. 556-572
    • Keener, J.P.1
  • 23
    • 0000440983 scopus 로고    scopus 로고
    • Universal scaling of wave propagation failure in arrays of coupled nonlinear cells
    • Kladko K., Mitkov I., Bishop A.R., Universal scaling of wave propagation failure in arrays of coupled nonlinear cells Phys. Rev. Lett. 84 2000 4505-4508.
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 4505-4508
    • Kladko, K.1    Mitkov, I.2    Bishop, A.R.3
  • 24
    • 58149208726 scopus 로고
    • Multistability in networks of weakly coupled bistable units
    • MacKay R.S., Sepulchre J.-A., Multistability in networks of weakly coupled bistable units Physica D 82 1995 243-254.
    • (1995) Physica D , vol.82 , pp. 243-254
    • MacKay, R.S.1    Sepulchre, J.-A.2
  • 25
    • 11544252295 scopus 로고    scopus 로고
    • Tunable pinning of burst waves in extended systems with discrete sources
    • Mitkov I., Kladko K., Pearson J.E., Tunable pinning of burst waves in extended systems with discrete sources Phys. Rev. Lett. 81 1998 5453-5456.
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 5453-5456
    • Mitkov, I.1    Kladko, K.2    Pearson, J.E.3
  • 28
    • 0036226924 scopus 로고    scopus 로고
    • Nonlinear analysis of juxtacrine patterns
    • Wearing H.J., Sherratt J.A., Nonlinear analysis of juxtacrine patterns SIAM J. Appl. Math. 62 2001 283-309.
    • (2001) SIAM J. Appl. Math. , vol.62 , pp. 283-309
    • Wearing, H.J.1    Sherratt, J.A.2
  • 29
    • 0035515957 scopus 로고    scopus 로고
    • Pattern formation in discrete cell lattices
    • Plahte E., Pattern formation in discrete cell lattices J. Math. Biol. 43 2001 411-445.
    • (2001) J. Math. Biol. , vol.43 , pp. 411-445
    • Plahte, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.