메뉴 건너뛰기




Volumn 57, Issue 5, 2008, Pages 613-648

A delay stochastic process with applications in molecular biology

Author keywords

Delay; Delta Notch pathway; Discrete stochastic process; Somitogenesis; Stochastic simulation

Indexed keywords

BASIC HELIX LOOP HELIX TRANSCRIPTION FACTOR; HER1 PROTEIN, ZEBRAFISH; HER7 PROTEIN, ZEBRAFISH; MEMBRANE PROTEIN; NOTCH RECEPTOR; PROTEIN; TRANSCRIPTION FACTOR; ZEBRAFISH PROTEIN;

EID: 49549101799     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-008-0178-y     Document Type: Article
Times cited : (51)

References (33)
  • 2
    • 0033617522 scopus 로고    scopus 로고
    • Notch signaling: Cell fate control and signal integration in development
    • S. Artavanis-Tsakonas M.D. Rand R.J. Lake 1999 Notch signaling: cell fate control and signal integration in development Science 284 770 776
    • (1999) Science , vol.284 , pp. 770-776
    • Artavanis-Tsakonas, S.1    Rand, M.D.2    Lake, R.J.3
  • 3
    • 0033104404 scopus 로고    scopus 로고
    • Dynamic expression of lunatic fringe suggests a link between notch signaling and an autonomous cellular oscillator driving somite segmentation
    • A. Aulehla R.L. Johnson 1999 Dynamic expression of lunatic fringe suggests a link between notch signaling and an autonomous cellular oscillator driving somite segmentation Dev. Biol. 207 49 61
    • (1999) Dev. Biol. , vol.207 , pp. 49-61
    • Aulehla, A.1    Johnson, R.L.2
  • 4
    • 33645048458 scopus 로고    scopus 로고
    • A mathematical investigation of a clock and wavefront model for somitogenesis
    • R.E. Baker S. Schnell P.K. Maini 2006 A mathematical investigation of a clock and wavefront model for somitogenesis J. Math. Biol. 52 458 482
    • (2006) J. Math. Biol. , vol.52 , pp. 458-482
    • Baker, R.E.1    Schnell, S.2    Maini, P.K.3
  • 5
    • 33749336242 scopus 로고    scopus 로고
    • Oscillatory regulation of Hes1: Discrete stochastic delay modelling and simulation
    • doi: 10.1371/journal.pcbi.0020117
    • Barrio, M., Burrage, K., Leier, A., Tian, T.: Oscillatory regulation of Hes1: discrete stochastic delay modelling and simulation. PLoS Comput. Biol. 2, e117; doi: 10.1371/journal.pcbi.0020117 (2006)
    • (2006) PLoS Comput. Biol. , vol.2
    • Barrio, M.1    Burrage, K.2    Leier, A.3    Tian, T.4
  • 7
    • 33645027986 scopus 로고    scopus 로고
    • Stochastic protein expression in individual cells at the single molecule level
    • L. Cai N. Friedman X.S. Xie 2006 Stochastic protein expression in individual cells at the single molecule level Nature 440 358 362
    • (2006) Nature , vol.440 , pp. 358-362
    • Cai, L.1    Friedman, N.2    Xie, X.S.3
  • 8
    • 33847316015 scopus 로고    scopus 로고
    • Repressor dimerization in the zebrafish somitogenesis clock
    • doi: 10.1371/journal.pcbi.0030032
    • Cinquin, O.: Repressor dimerization in the zebrafish somitogenesis clock. PLoS Comput. Biol. 3, e32; doi: 10.1371/journal.pcbi.0030032 (2007)
    • (2007) PLoS Comput. Biol. , vol.3
    • Cinquin, O.1
  • 9
    • 34547188670 scopus 로고    scopus 로고
    • Understanding the somitogenesis clock: What's missing?
    • O. Cinquin 2007 Understanding the somitogenesis clock: what's missing? Mech. Dev. 124 501 517
    • (2007) Mech. Dev. , vol.124 , pp. 501-517
    • Cinquin, O.1
  • 10
    • 0032011706 scopus 로고    scopus 로고
    • A gene that resuscitates a theory: Somitogenesis and a molecular oscillator
    • J. Cooke 1998 A gene that resuscitates a theory: somitogenesis and a molecular oscillator Trends Genet. 14 85 88
    • (1998) Trends Genet. , vol.14 , pp. 85-88
    • Cooke, J.1
  • 11
    • 0017122064 scopus 로고
    • A clock and wavefront model for control of the number of repeated structures during animal morphogenesis
    • J. Cooke E.C. Zeeman 1976 A clock and wavefront model for control of the number of repeated structures during animal morphogenesis J. Theor. Biol. 58 455 476
    • (1976) J. Theor. Biol. , vol.58 , pp. 455-476
    • Cooke, J.1    Zeeman, E.C.2
  • 14
    • 0017030517 scopus 로고
    • A general method for numerically simulating the stochastic time evolution of coupled chemical reactions
    • D.T. Gillespie 1976 A general method for numerically simulating the stochastic time evolution of coupled chemical reactions J. Comput. Phys. 22 403 434
    • (1976) J. Comput. Phys. , vol.22 , pp. 403-434
    • Gillespie, D.T.1
  • 15
    • 33645429016 scopus 로고
    • Exact stochastic simulation of coupled chemical reactions
    • D.T. Gillespie 1977 Exact stochastic simulation of coupled chemical reactions J. Phys. Chem. 25 2340 2361
    • (1977) J. Phys. Chem. , vol.25 , pp. 2340-2361
    • Gillespie, D.T.1
  • 16
    • 0034225547 scopus 로고    scopus 로고
    • The chemical Langevin equation
    • D.T. Gillespie 2000 The chemical Langevin equation J. Chem. Phys. 113 297 306
    • (2000) J. Chem. Phys. , vol.113 , pp. 297-306
    • Gillespie, D.T.1
  • 17
    • 0013823048 scopus 로고
    • Oscillatory behavior in enzymatic control processes
    • B.C. Goodwin 1965 Oscillatory behavior in enzymatic control processes Adv. Enzyme Regulat. 3 425 438
    • (1965) Adv. Enzyme Regulat. , vol.3 , pp. 425-438
    • Goodwin, B.C.1
  • 18
    • 0036679340 scopus 로고    scopus 로고
    • Two linked hairy/Enhancer of split-related zebrafish genes, her1 and her7, function together to refine alternating somite boundaries
    • C.A. Henry M.K. Urban K.K. Dill J.P. Merlie M.F. Page C.B. Kimmel S.L. Amacher 2002 Two linked hairy/Enhancer of split-related zebrafish genes, her1 and her7, function together to refine alternating somite boundaries Development 129 3693 3704
    • (2002) Development , vol.129 , pp. 3693-3704
    • Henry, C.A.1    Urban, M.K.2    Dill, K.K.3    Merlie, J.P.4    Page, M.F.5    Kimmel, C.B.6    Amacher, S.L.7
  • 19
    • 0036332729 scopus 로고    scopus 로고
    • Her1 and notch pathway function within the oscillator mechanism that regulates zebrafish somitogenesis
    • A. Holley S. D. Jülich G.-J. Rauch R. Geisler C. Nüsslein-Volhard 2002 her1 and notch pathway function within the oscillator mechanism that regulates zebrafish somitogenesis Development 129 1175 1183
    • (2002) Development , vol.129 , pp. 1175-1183
    • Holley, S.A.1    Jülich, D.2    Rauch, G.-J.3    Geisler, R.4    Nüsslein-Volhard, C.5
  • 20
    • 33745000977 scopus 로고    scopus 로고
    • Noise-resistant and synchronized oscillation of the segmentation clock
    • K. Horikawa K. Ishimatsu E. Yoshimoto S. Kondo H. Takeda 2006 Noise-resistant and synchronized oscillation of the segmentation clock Nature 441 719 723
    • (2006) Nature , vol.441 , pp. 719-723
    • Horikawa, K.1    Ishimatsu, K.2    Yoshimoto, E.3    Kondo, S.4    Takeda, H.5
  • 21
    • 34250627923 scopus 로고    scopus 로고
    • Coupling cellular oscillators: A mechanism that maintains synchrony against developmental noise in the segmentation clock
    • K. Ishimatsu K. Horikawa H. Takeda 2007 Coupling cellular oscillators: a mechanism that maintains synchrony against developmental noise in the segmentation clock Dev. Dyn. 236 1416 1421
    • (2007) Dev. Dyn. , vol.236 , pp. 1416-1421
    • Ishimatsu, K.1    Horikawa, K.2    Takeda, H.3
  • 23
    • 34250624794 scopus 로고    scopus 로고
    • From segment to somite: Segmentation to epitheliazation analyzed within quantitative frameworks
    • P.M. Kulesa S. Schnell S. Rudloff R. Baker P.K. Maini 2007 From segment to somite: segmentation to epitheliazation analyzed within quantitative frameworks Dev. Dyn. 236 1392 1402
    • (2007) Dev. Dyn. , vol.236 , pp. 1392-1402
    • Kulesa, P.M.1    Schnell, S.2    Rudloff, S.3    Baker, R.4    Maini, P.K.5
  • 24
    • 0041677612 scopus 로고    scopus 로고
    • Autoinhibition with transcriptional delay: A simple mechanism for the zebrafish somitogenesis oscillator
    • J. Lewis 2003 Autoinhibition with transcriptional delay: a simple mechanism for the zebrafish somitogenesis oscillator Curr. Biol. 13 1398 1408
    • (2003) Curr. Biol. , vol.13 , pp. 1398-1408
    • Lewis, J.1
  • 25
    • 13144297173 scopus 로고    scopus 로고
    • The lunatic Fringe gene is a target of the molecular clock linked to somite segmentation in avian embryos
    • M.J. McGrew J.K. Dale S. Fraboulet O. Pourquié 1998 The lunatic Fringe gene is a target of the molecular clock linked to somite segmentation in avian embryos Curr. Biol. 8 979 982
    • (1998) Curr. Biol. , vol.8 , pp. 979-982
    • McGrew, M.J.1    Dale, J.K.2    Fraboulet, S.3    Pourquié, O.4
  • 27
    • 0043180477 scopus 로고    scopus 로고
    • Oscillatory expression of Hes1, p53, and NF-κB driven by transcriptional time delays
    • N.A.M. Monk 2003 Oscillatory expression of Hes1, p53, and NF-κB driven by transcriptional time delays Curr. Biol. 13 1409 1413
    • (2003) Curr. Biol. , vol.13 , pp. 1409-1413
    • Monk, N.A.M.1
  • 28
    • 0030840351 scopus 로고    scopus 로고
    • Avian hairy gene expression identifies a molecular clock linked to vertebrate segmentation and somitogenesis
    • I. Palmeirim D. Henrique D. Ish-Horowicz O. Pourquié 1997 Avian hairy gene expression identifies a molecular clock linked to vertebrate segmentation and somitogenesis Cell 91 639 648
    • (1997) Cell , vol.91 , pp. 639-648
    • Palmeirim, I.1    Henrique, D.2    Ish-Horowicz, D.3    Pourquié, O.4
  • 29
    • 0038115065 scopus 로고    scopus 로고
    • The segmentation clock: Converting embryonic time into spatial pattern
    • O. Pourquié 2003 The segmentation clock: converting embryonic time into spatial pattern Science 301 328 330
    • (2003) Science , vol.301 , pp. 328-330
    • Pourquié, O.1
  • 30
    • 33845399322 scopus 로고    scopus 로고
    • Intracellular delay limits cyclic changes in gene expression
    • K. Rateitschak O. Wolkenhauer 2007 Intracellular delay limits cyclic changes in gene expression Math. Biosci. 205 163 179
    • (2007) Math. Biosci. , vol.205 , pp. 163-179
    • Rateitschak, K.1    Wolkenhauer, O.2
  • 31
    • 34247550417 scopus 로고    scopus 로고
    • Validation of an algorithm for delay stochastic simulation of transcription and translation in prokaryotic gene expression
    • M.R. Roussel R. Zhu 2006 Validation of an algorithm for delay stochastic simulation of transcription and translation in prokaryotic gene expression Phys. Biol. 3 274 284
    • (2006) Phys. Biol. , vol.3 , pp. 274-284
    • Roussel, M.R.1    Zhu, R.2
  • 32
    • 0035514186 scopus 로고    scopus 로고
    • The making of the somite: Molecular events in vertebrate segmentation
    • Y. Saga H. Takeda 2001 The making of the somite: molecular events in vertebrate segmentation Nat. Rev. Genet. 2 835 845
    • (2001) Nat. Rev. Genet. , vol.2 , pp. 835-845
    • Saga, Y.1    Takeda, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.