Effects of intrinsic and extrinsic noise can accelerate juxtacrine pattern formation

Bulletin of Mathematical Biology

Volumn 70, Issue 4, 2008, Pages 971-991

  Rudge, Tim ^a   Burrage, Kevin ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Epithelial pattern formation; Juxtacrine signalling; Stochastic models

Indexed keywords

EPIDERMAL GROWTH FACTOR; EPIDERMAL GROWTH FACTOR RECEPTOR;

ANIMAL; ARTICLE; BIOLOGICAL MODEL; CELL COMMUNICATION; HUMAN; MATHEMATICS; MORPHOGENESIS; PHYSIOLOGY; SIGNAL TRANSDUCTION; STATISTICS;

ANIMALS; BODY PATTERNING; CELL COMMUNICATION; EPIDERMAL GROWTH FACTOR; HUMANS; MATHEMATICS; MODELS, BIOLOGICAL; RECEPTOR, EPIDERMAL GROWTH FACTOR; SIGNAL TRANSDUCTION; STOCHASTIC PROCESSES;

EID: 43349101939     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/s11538-007-9286-x     Document Type: Article

References (20)

1. Alberts, B., 1994. Molecular Biology of the Cell. Garland, New York.
2. Atit, R., Conlon, R.A., Niswander, L., 2003. EGF signalling patterns the feather array by promoting the interbud fate. Dev. Cell 4, 231-240.
3. Blake, W.J., Kaern, M., Cantor, C.R., Collins, J.J., 2003. Noise in eukaryotic gene expression. Nature 422, 633-637.
4. Chen, L., Wang, R., Zhou, T., Aihara, K., 2005. Noise-induced cooperative behaviour in a multicell system. Bioinformatics 21, 2722-2739.
5. Clark, A.J.L., Ishii, S., Richert, N., Merlino, G.T., Pastan, I., 1985. Epidermal growth factor regulates the expression of its own receptor. Proc. Nat. Acad. Sci. USA 82, 8374-8378.
6. Coffey, R.J.J., Derynck, R., Wilcox, J.N., Bringman, T.S., Goustin, A.S., Moses, H.L., Pittelkow, M.P., 1987. Production and auto-induction of transforming growth factor-α in human keratinocytes. Nature 328, 817-820.
7. Collier, J.R., Monk, N.A.M., Maini, P.K., Lewis, J.H., 1996. Pattern formation by lateral inhibition with feedback: a mathematical model of delta-notch intercellular signalling. J. Theor. Biol. 183, 429-446.
8. Gillespie, D.T., 1977. Exact stochastic simulation of coupled chemical reactions. J. Phys. Chem. A 104, 1876-1889.
9. Mayerson, P.L., Fallon, J.F., 1985. The spatial pattern and temporal sequence in which feather germs arise in the white leghorn chick embryo. Dev. Biol. 109, 259-267.
10. McAdams, H.H., Arkin, A., 1997. Stochastic mechanisms in gene expression. Proc. Nat. Acad. Sci. USA 94, 814-819.
11. Owen, M.R., Sherratt, J.A., 1998. Mathematical modelling of juxtacrine cell signalling. Math. Biosci. 153, 125-150.
12. Owen, M.R., Sherratt, J.A., Wearing, H.J., 2000. Lateral induction by juxtacrine signalling is a new mechanism for pattern formation. Dev. Biol. 217, 54-61.
13. Pikovski, A.S., Kurths, J., 1997. Coherence resonance in a noise-driven excitable system. Phys. Rev. Lett. 78, 775-778.
14. Ross, I.L., Browne, C.M., Hume, D.A., 1994. Transcription of individual genes in eukaryotic cells occurs randomly and infrequently. Immun. Cell Biol. 72, 177-185.
15. Shilo, B.-Z., 2003. Signalling by the Drosophila epidermal growth factor receptor pathway during development. Exp. Cell Res. 284, 140-149.
16. Tetreault, M.-P., Chailler, P., Rivard, N., Menard, D., 2005. Differential growth factor induction and modulation of human gastric epithelial regeneration. Exp. Cell Res. 306, 285-297.
17. Turner, T.E., Schnell, S., Burrage, K., 2004. Stochastic approaches for modelling in vivo reactions. Comput. Biol. Chem. 28, 165-178.
18. Walters, M.C., Feiring, S., Eidemiller, J., Magis, W., Groudine, M., Martin, D.I.K., 1995. Enhancers increase the probability but not the level of gene expression. Proc. Nat. Acad. Sci. USA 92, 7125-7129.
19. Wearing, H.J., Owen, M.R., Sherratt, J.A., 2000. Mathematical modelling of juxtacrine patterning. Bull. Math. Biol. 62, 293-320.
20. Webb, S.D., Owen, M.R., 2004. Oscillations and patterns in discrete models for developmental ligand-receptor interactions. J. Math. Biol. 48, 444-476.