Speed of pattern appearance in reaction-diffusion models: Implications in the pattern formation of limb bud mesenchyme cells

Bulletin of Mathematical Biology

Volumn 66, Issue 4, 2004, Pages 627-649

  Miura, Takashi ^a   Maini, Philip K ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

FIBROBLAST GROWTH FACTOR;

ANIMAL; ARTICLE; BIOLOGICAL MODEL; COMPUTER SIMULATION; CYTOLOGY; EMBRYO DEVELOPMENT; GROWTH, DEVELOPMENT AND AGING; LIMB BUD; MORPHOGENESIS; MOUSE; PHYSIOLOGY;

ANIMALS; BODY PATTERNING; COMPUTER SIMULATION; EMBRYONIC DEVELOPMENT; FIBROBLAST GROWTH FACTORS; LIMB BUD; MICE; MODELS, BIOLOGICAL;

EID: 3042551386     PISSN: 00928240     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.bulm.2003.09.009     Document Type: Article

References (21)

1. Delannet M., Martin F., Bossy B., Cheresh D.A., Reichardt L.F., Duband J.L. Specific roles of the alpha v beta 1, alpha v beta 3 and alpha v beta 5 integrins in avian neural crest cell adhesion and migration on vitronectin. Development. 120:1994;2687-2702
2. Downie S.A., Newman S.A. Morphogenetic differences between fore and hind limb precartilage mesenchyme: relation to mechanisms of skeletal pattern formation. Dev. Biol. 162:1994;195-208
3. Downie S.A., Newman S.A. Different roles for fibronectin in the generation of fore and hind limb precartilage condensations. Dev. Biol. 172:1995;519-530
4. Ermentrout B. Stripes or spots? Nonlinear effects in bifurcation of reaction-diffusion equations on the square. Proc. R. Soc. Lond. A. 434:1991;413-417
5. Gierer A., Meinhardt H. A theory of biological pattern formation. Kybernetik. 12:1972;30-39
6. Gilbert S.F. Developmental Biology. 2000;Sinauer, Massachusettes
7. Hayes C., Lyon M.F., Morriss-Kay G.M. Morphogenesis of doublefoot (dbf), a mouse mutant with polydactyly and craniofacial defects. J. Anat. 193:1998;81-91
8. Lyons M.J., Harrison L.G. Stripe selection: an intrinsic property of some pattern-forming models with nonlinear dynamics. Dev. Dyn. 195:1992;201-215
9. Maini P.K., Solursh M. Cellular mechanisms of pattern formation in the developing limb. Int. Rev. Cytol. 129:1991;91-133
10. Miura T., Komori M., Shiota K. A novel method for analysis of the periodicity of chondrogenic patterns in limb bud cell culture: correlation of in vitro pattern formation with theoretical models. Anat. Embryol. (Berl). 201:2000;419-428
11. Miura T., Shiota K. Extracellular matrix environment influences chondrogenic pattern formation in limb bud micromass culture: experimental verification of theoretical models. Anat. Rec. 258:2000;100-107
12. Miura T., Shiota K. Tgfbeta2 acts as an "activator" molecule in reaction-diffusion model and is involved in cell sorting phenomenon in mouse limb micromass culture. Dev. Dyn. 217:2000;241-249
13. Moftah M.Z., Downie S.A., Bronstein N.B., Mezentseva N., Pu J., Maher P.A., Newman S.A. Ectodermal fgfs induce perinodular inhibition of limb chondrogenesis in vitro and in vivo via fgf receptor 2. Dev. Biol. 249:2002;270-282
14. Murray J.D. Mathematical Biology. 1993;Springer, Berlin
15. Newman S.A. Sticky fingers: Hox genes and cell adhesion in vertebrate limb development. Bioessays. 18:1996;171-174
16. Newman S.A., Frisch H.L. Dynamics of skeletal pattern formation in developing chick limb. Science. 205:1979;662-668
17. Newman S.J., Frisch H.L., Percus J.K. On the stationary state analysis of reaction-diffusion mechanisms for biological pattern formation. J. Theor. Biol. 134:1988;183-197
18. Othmer H.G. On the Newman-Frisch model of limb chondrogenesis. J. Theor. Biol. 121:1986;505-508
19. Owens E.M., Solursh M. In vitro histogenic capacities of limb mesenchyme from various stage mouse embryos. Dev. Biol. 88:1981;297-311
20. Ros M.A., Lyons G.E., Mackem S., Fallon J.F. Recombinant limbs as a model to study homeobox gene regulation during limb development. Dev. Biol. 166:1994;59-72
21. Wolpert L. Principles of Development. 1998;Oxford University Press