Oscillatory Notch-pathway activity in a delay model of neuronal differentiation

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 80, Issue 2, 2009, Pages

  Momiji, Hiroshi ^a   Monk, Nicholas A M ^b  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPLEX BEHAVIOR; DELAY MODELS; IN-PHASE; LATERAL INHIBITION; LOCAL FEEDBACK LOOPS; NEGATIVE FEEDBACK LOOP; NEUROGENESIS; NEURONAL DIFFERENTIATION; NOTCH SIGNALING PATHWAYS; OSCILLATORY MODE; OSCILLATORY TRANSIENTS; OUT OF PHASE; STEADY STATE; SYSTEM BEHAVIORS;

FEEDBACK; SUPERALLOYS;

MATHEMATICAL MODELS;

EID: 70349123379     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.021930     Document Type: Article

References (27)

1. J. J. Tyson, K. C. Chen, and B. Novak, Curr. Opin. Cell Biol. 15, 221 (2003). 10.1016/S0955-0674(03)00017-6
2. K. Kruse and F. Jülicher, Curr. Opin. Cell Biol. 17, 20 (2005). 10.1016/j.ceb.2004.12.007
3. J. L. Cherry and F. R. Adler, J. Theor. Biol. 203, 117 (2000). 10.1006/jtbi.2000.1068
4. J. E. Ferrell, Jr., Curr. Opin. Cell Biol. 14, 140 (2002).
5. S. Artavanis-Tsakonas, M. D. Rand, and R. J. Lake, Science 284, 770 (1999). 10.1126/science.284.5415.770
6. J. Lewis, Semin. Cell Dev. Biol. 9, 583 (1998). 10.1006/scdb.1998.0266
7. A. Louvi and S. Artavanis-Tsakonas, Nat. Rev. Neurosci. 7, 93 (2006). 10.1038/nrn1847
8. G. S. Richards, E. Simionato, M. Perron, M. Adamska, M. Vervoort, and B. M. Degnan, Curr. Biol. 18, 1156 (2008). 10.1016/j.cub.2008.06.074
9. J. R. Collier, N. A. M. Monk, P. K. Maini, and J. H. Lewis, J. Theor. Biol. 183, 429 (1996). 10.1006/jtbi.1996.0233
10. E. Meir, G. von Dassow, E. Munro, and G. M. Odell, Curr. Biol. 12, 778 (2002). 10.1016/S0960-9822(02)00839-4
11. N. Bertrand, D. S. Castro, and F. Guillemot, Nat. Rev. Neurosci. 3, 517 (2002). 10.1038/nrn874
12. R. Kageyama, T. Ohtsuka, and T. Kobayashi, Development 134, 1243 (2007). 10.1242/dev.000786
13. J. M. Mahaffy and C. V. Pao, J. Math. Biol. 20, 39 (1984). 10.1007/BF00275860
14. J. M. Mahaffy, Math. Biosci. 90, 519 (1988). 10.1016/0025-5564(88)90081-8
15. S. R. Veflingstad, E. Plahte, and N. A. M. Monk, Physica D 207, 254 (2005). 10.1016/j.physd.2005.06.006
16. M. H. Jensen, K. Sneppen, and G. Tiana, FEBS Lett. 541, 176 (2003). 10.1016/S0014-5793(03)00279-5
17. J. Lewis, Curr. Biol. 13, 1398 (2003). 10.1016/S0960-9822(03)00534-7
18. N. A. M. Monk, Curr. Biol. 13, 1409 (2003). 10.1016/S0960-9822(03)00494-9
19. H. Momiji and N. A. M. Monk, J. Theor. Biol. 254, 784 (2008). 10.1016/j.jtbi.2008.07.013
20. H. Hirata, S. Yoshiura, T. Ohtsuka, Y. Bessho, T. Harada, K. Yoshikawa, and R. Kageyama, Science 298, 840 (2002). 10.1126/science.1074560
21. Y. Masamizu, T. Ohtsuka, Y. Takashima, H. Nagahara, Y. Takenaka, K. Yoshikawa, H. Okamura, and R. Kageyama, Proc. Natl. Acad. Sci. U.S.A. 103, 1313 (2006). 10.1073/pnas.0508658103
22. H. Shimojo, T. Ohtsuka, and R. Kageyama, Neuron 58, 52 (2008). 10.1016/j.neuron.2008.02.014
23. J. T. Nichols, A. Miyamoto, and G. Weinmaster, Traffic (Oxford, U. K.) 8, 959 (2007). 10.1111/j.1600-0854.2007.00592.x
24. U. Alon, Nat. Rev. Genet. 8, 450 (2007). 10.1038/nrg2102
25. J. M. D. Vosper, C. S. Fiore-Heriche, I. Horan, K. Wilson, H. Wise, and A. Philpott, Biochem. J. 407, 277 (2007). 10.1042/BJ20070064
26. L. G. Morelli, S. Ares, L. Herrgen, C. Schröter, F. Jülicher, and A. C. Oates, HFSP J. 3, 55 (2009). 10.2976/1.3027088
27. D. V. Ramana Reddy, A. Sen, and G. L. Johnston, Phys. Rev. Lett. 80, 5109 (1998). 10.1103/PhysRevLett.80.5109