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Volumn 207, Issue 3-4, 2005, Pages 254-271

Effect of time delay on pattern formation: Competition between homogenisation and patterning

Author keywords

Juxtacrine signalling; Pattern formation; Time delay

Indexed keywords

AMINO ACIDS; APPROXIMATION THEORY; DNA; INTEGRATION; MATHEMATICAL MODELS; PROTEINS; RNA;

EID: 21644453974     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2005.06.006     Document Type: Article
Times cited : (22)

References (43)
  • 1
    • 0025647695 scopus 로고
    • Transforming growth factor-α: A model for membrane-anchored growth factors
    • J. Massague Transforming growth factor- α : a model for membrane-anchored growth factors J. Biol. Chem. 265 1990 21393 21396
    • (1990) J. Biol. Chem. , vol.265 , pp. 21393-21396
    • Massague, J.1
  • 2
    • 0030589575 scopus 로고    scopus 로고
    • Cell contact-dependent signaling
    • F. Fagotto, and B. Gumbiner Cell contact-dependent signaling Dev. Biol. 180 1996 445 454
    • (1996) Dev. Biol. , vol.180 , pp. 445-454
    • Fagotto, F.1    Gumbiner, B.2
  • 3
    • 0030597511 scopus 로고    scopus 로고
    • Pattern formation by lateral inhibition with feedback: A mathematical model of Delta-Notch intercellular signalling
    • J. Collier, N. Monk, P. Maini, and J. Lewis 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.1    Monk, N.2    Maini, P.3    Lewis, J.4
  • 4
    • 0032213758 scopus 로고    scopus 로고
    • Mathematical modelling of juxtacrine cell signalling
    • M. Owen, and J. Sherratt Mathematical modelling of juxtacrine cell signalling Math. Biosci. 153 1998 125 150
    • (1998) Math. Biosci. , vol.153 , pp. 125-150
    • Owen, M.1    Sherratt, J.2
  • 6
    • 0033789730 scopus 로고    scopus 로고
    • Mathematical modelling of juxtacrine patterning
    • H. Wearing, M. Owen, and J. Sherratt Mathematical modelling of juxtacrine patterning Bull. Math. Biol. 62 2000 293 320
    • (2000) Bull. Math. Biol. , vol.62 , pp. 293-320
    • Wearing, H.1    Owen, M.2    Sherratt, J.3
  • 7
    • 21644442401 scopus 로고    scopus 로고
    • Spatiotemporal patterning in models of juxtacrine intercellular signalling with feedback
    • P. Maini H. Othmer Springer Berlin
    • N. Monk, J. Sheratt, and M. Owen Spatiotemporal patterning in models of juxtacrine intercellular signalling with feedback P. Maini H. Othmer Mathematical Models for Biological Pattern Formation 2000 Springer Berlin 165 192
    • (2000) Mathematical Models for Biological Pattern Formation , pp. 165-192
    • Monk, N.1    Sheratt, J.2    Owen, M.3
  • 8
    • 0031008221 scopus 로고    scopus 로고
    • Basic mechanisms of transcript elongation and its regulation
    • S. Uptain, C. Kane, and M. Chamberlain Basic mechanisms of transcript elongation and its regulation Annu. Rev. Biochem. 66 1997 117 172
    • (1997) Annu. Rev. Biochem. , vol.66 , pp. 117-172
    • Uptain, S.1    Kane, C.2    Chamberlain, M.3
  • 9
    • 0036784630 scopus 로고    scopus 로고
    • In vitro kinetics of mRNA splicing and transport in mammalian cells
    • A. Audibert, D. Weil, and F. Dautry In vitro kinetics of mRNA splicing and transport in mammalian cells Mol. Cell. Biol. 22 2002 6706 6718
    • (2002) Mol. Cell. Biol. , vol.22 , pp. 6706-6718
    • Audibert, A.1    Weil, D.2    Dautry, F.3
  • 10
    • 0004238344 scopus 로고    scopus 로고
    • Oxford University Press Oxford
    • B. Lewin Genes VII 2000 Oxford University Press Oxford
    • (2000) Genes VII
    • Lewin, B.1
  • 11
    • 0028837312 scopus 로고
    • The human dystrophin gene requires 16 hours to be transcribed and is cotranscriptionally spliced
    • C. Tennyson, H. Klamut, and R. Worton The human dystrophin gene requires 16 hours to be transcribed and is cotranscriptionally spliced Nat. Genet. 9 1995 184 190
    • (1995) Nat. Genet. , vol.9 , pp. 184-190
    • Tennyson, C.1    Klamut, H.2    Worton, R.3
  • 12
    • 0038046204 scopus 로고    scopus 로고
    • Periodic repression by bHLH factor Hes7 is an essential mechanism for the somite segmentation clock
    • Y. Bessho, H. Masamizu, and R. Kageyama Periodic repression by bHLH factor Hes7 is an essential mechanism for the somite segmentation clock Genes. Dev. 17 2003 1451 1456
    • (2003) Genes. Dev. , vol.17 , pp. 1451-1456
    • Bessho, Y.1    Masamizu, H.2    Kageyama, R.3
  • 13
    • 0021171678 scopus 로고
    • Models of genetic control by repression with time delays and spatial effects
    • J. Mahaffy, and C. Pao Models of genetic control by repression with time delays and spatial effects J. Math. Biol. 20 1984 39 57
    • (1984) J. Math. Biol. , vol.20 , pp. 39-57
    • Mahaffy, J.1    Pao, C.2
  • 14
    • 38249027114 scopus 로고
    • Genetic control models with diffusion and delays
    • J. Mahaffy Genetic control models with diffusion and delays Math. Biosci. 90 1988 519 533
    • (1988) Math. Biosci. , vol.90 , pp. 519-533
    • Mahaffy, J.1
  • 15
    • 0033782304 scopus 로고    scopus 로고
    • Modeling transcriptional control in gene networks - Methods, recent results and future directions
    • P. Smolen, D. Baxter, and J. Byrne Modeling transcriptional control in gene networks - methods, recent results and future directions Bull. Math. Biol. 62 2000 247 292
    • (2000) Bull. Math. Biol. , vol.62 , pp. 247-292
    • Smolen, P.1    Baxter, D.2    Byrne, J.3
  • 16
    • 0036576340 scopus 로고    scopus 로고
    • Stability of genetic regulatory networks with time delay
    • L. Chen, and K. Aihara Stability of genetic regulatory networks with time delay IEEE T. Circuits-I 49 2002 602 608
    • (2002) IEEE T. Circuits-I , vol.49 , pp. 602-608
    • Chen, L.1    Aihara, K.2
  • 17
    • 0041677612 scopus 로고    scopus 로고
    • Autoinhibition with transcriptional delay: A simple mechanism for the Zebrafish somitogenesis oscillator
    • J. Lewis Autoinhibition with transcriptional delay: A simple mechanism for the Zebrafish somitogenesis oscillator Curr. Biol. 13 2003 1398 1408
    • (2003) Curr. Biol. , vol.13 , pp. 1398-1408
    • Lewis, J.1
  • 18
    • 0032170006 scopus 로고    scopus 로고
    • Restricted range gradients and travelling fronts in a model of juxtacrine cell relay
    • N. Monk 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.1
  • 19
    • 0035515957 scopus 로고    scopus 로고
    • Pattern formation in discrete cell lattices
    • E. Plahte 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
  • 20
    • 0015128941 scopus 로고
    • Instability and dynamic pattern in cellular networks
    • H. Othmer, and L. Scriven Instability and dynamic pattern in cellular networks J. Theor. Biol. 32 1971 507 537
    • (1971) J. Theor. Biol. , vol.32 , pp. 507-537
    • Othmer, H.1    Scriven, L.2
  • 23
    • 0003460371 scopus 로고
    • Time lags in biological models
    • Springer-Verlag Berlin, Heidelberg, New York
    • N. MacDonald Time lags in biological models Lecture Notes in Biomathematics, vol. 27 1978 Springer-Verlag Berlin, Heidelberg, New York
    • (1978) Lecture Notes in Biomathematics, Vol. 27
    • MacDonald, N.1
  • 24
    • 0043180477 scopus 로고    scopus 로고
    • Oscillatory expression of Hes1, p53, and NF-κ B driven by transcriptional time delays
    • N. Monk Oscillatory expression of Hes1, p53, and NF- κ B driven by transcriptional time delays Curr. Biol. 13 2003 1409 1413
    • (2003) Curr. Biol. , vol.13 , pp. 1409-1413
    • Monk, N.1
  • 25
    • 3242691289 scopus 로고    scopus 로고
    • Oscillations and patterns in spatially discrete models for developmental intercellular signalling
    • S. Webb, and M. Owen Oscillations and patterns in spatially discrete models for developmental intercellular signalling J. Math. Biol. 48 2004 444 476
    • (2004) J. Math. Biol. , vol.48 , pp. 444-476
    • Webb, S.1    Owen, M.2
  • 26
    • 0003261196 scopus 로고
    • Introduction to the theory and application of differential equations with deviating arguments
    • Academic Press New York, London
    • L. El'sgol'ts, and S. Norkin Introduction to the theory and application of differential equations with deviating arguments Mathematics in Science and Engineering, vol. 105 1973 Academic Press New York, London
    • (1973) Mathematics in Science and Engineering, Vol. 105
    • El'sgol'ts, L.1    Norkin, S.2
  • 28
    • 0003446032 scopus 로고    scopus 로고
    • Introduction to the theory and applications of functional differential equations
    • Kluwer Dordrecht
    • V. Kolmanovskii, and A. Myshkis Introduction to the theory and applications of functional differential equations Mathematics and Its Applications, vol. 463 1999 Kluwer Dordrecht
    • (1999) Mathematics and Its Applications, Vol. 463
    • Kolmanovskii, V.1    Myshkis, A.2
  • 29
    • 0004033107 scopus 로고    scopus 로고
    • DDE-BIFTOOL: A Matlab package for bifurcation analysis of delay differential equations
    • TW-305, Department of Computer Science, K.U. Leuven, Leuven, Belgium
    • E. Engelborghs, DDE-BIFTOOL: a Matlab package for bifurcation analysis of delay differential equations, Technical report, TW-305, Department of Computer Science, K.U. Leuven, Leuven, Belgium, 2000.
    • (2000) Technical Report
    • Engelborghs, E.1
  • 30
    • 0002011401 scopus 로고
    • The chemical basis of morphogenesis
    • A. Turing The chemical basis of morphogenesis Philos. Trans. R. Soc. Lond. B 237 1952 32 72
    • (1952) Philos. Trans. R. Soc. Lond. B , vol.237 , pp. 32-72
    • Turing, A.1
  • 32
    • 0039592729 scopus 로고    scopus 로고
    • From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators
    • S.H. Strogatz From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators Physica D 143 2000 1 20
    • (2000) Physica D , vol.143 , pp. 1-20
    • Strogatz, S.H.1
  • 33
    • 0345549531 scopus 로고    scopus 로고
    • Modeling genetic switches with positive feedback loops
    • T. Kobayashi, L. Chen, and K. Aihara Modeling genetic switches with positive feedback loops J. Theor. Biol. 221 2003 379 399
    • (2003) J. Theor. Biol. , vol.221 , pp. 379-399
    • Kobayashi, T.1    Chen, L.2    Aihara, K.3
  • 34
    • 0029037739 scopus 로고
    • Protein molecules as computational elements in living cells
    • D. Bray Protein molecules as computational elements in living cells Nature 376 1995 307 312
    • (1995) Nature , vol.376 , pp. 307-312
    • Bray, D.1
  • 35
    • 1242333310 scopus 로고    scopus 로고
    • Qualitative simulation of genetic regulatory newtorks using piecewise-linear models
    • H. de Jong, J. Gouze, C. Hernandez, M. Page, T. Sari, J. Geiselman, Qualitative simulation of genetic regulatory newtorks using piecewise-linear models, Bull. Math. Biol. 66 (2004) 302-340
    • (2004) Bull. Math. Biol. , vol.66 , pp. 302-304
    • De Jong, H.1    Gouze, J.2    Hernandez, C.3    Page, M.4    Sari, T.5    Geiselman, J.6
  • 36
    • 13244279645 scopus 로고    scopus 로고
    • Analysis and generic properties of gene regulatory networks with graded response functions
    • E. Plahte, and S. Kjøglum Analysis and generic properties of gene regulatory networks with graded response functions Physica D 201 2005 150 176
    • (2005) Physica D , vol.201 , pp. 150-176
    • Plahte, E.1    Kjøglum, S.2
  • 37
    • 21644445192 scopus 로고    scopus 로고
    • Gene regulatory networks and delay differential equations
    • A. Ponosov Gene regulatory networks and delay differential equations Electron. J. Diff. Eq. 12 2005 117 141
    • (2005) Electron. J. Diff. Eq. , vol.12 , pp. 117-141
    • Ponosov, A.1
  • 39
    • 0037044575 scopus 로고    scopus 로고
    • The IκB-NF-κB signaling module: Temporal control and selective gene activation
    • A. Hoffmann, A. Levchenko, M.L. Scott, and D. Baltimore The I κ B-NF- κ B signaling module: temporal control and selective gene activation Science 298 2002 1241 1245
    • (2002) Science , vol.298 , pp. 1241-1245
    • Hoffmann, A.1    Levchenko, A.2    Scott, M.L.3    Baltimore, D.4
  • 40
    • 0034633702 scopus 로고    scopus 로고
    • Generation of oscillations by the p53-Mdm2 feedback loop: A theoretical and experimental study
    • R. Bar-Or, R. Maya, L. Segel, U. Alon, A. Levin, and M. Oren Generation of oscillations by the p53-Mdm2 feedback loop: a theoretical and experimental study Proc. Natl. Acad. Sci. U.S.A. 97 2000 11250 11255
    • (2000) Proc. Natl. Acad. Sci. U.S.A. , vol.97 , pp. 11250-11255
    • Bar-Or, R.1    Maya, R.2    Segel, L.3    Alon, U.4    Levin, A.5    Oren, M.6
  • 42
    • 0343599074 scopus 로고    scopus 로고
    • Mechanisms for stabilisation and destabilisation of systems of reaction-diffusion equations
    • S. Gourley, N. Britton, M. Chaplain, and H. Byrne Mechanisms for stabilisation and destabilisation of systems of reaction-diffusion equations J. Math. Biol. 34 1996 857 877
    • (1996) J. Math. Biol. , vol.34 , pp. 857-877
    • Gourley, S.1    Britton, N.2    Chaplain, M.3    Byrne, H.4
  • 43
    • 33746596624 scopus 로고    scopus 로고
    • Gene expression, time delay and Turing pattern formation systems
    • submitted for publication
    • E.A. Gaffney, N.A.M. Monk, Gene expression, time delay and Turing pattern formation systems, Bull. Math. Biol., submitted for publication
    • Bull. Math. Biol.
    • Gaffney, E.A.1    Monk, N.A.M.2


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