Free Access
Issue |
Math. Model. Nat. Phenom.
Volume 4, Number 4, 2009
Morphogenesis
|
|
---|---|---|
Page(s) | 118 - 130 | |
DOI | https://doi.org/10.1051/mmnp/20094404 | |
Published online | 11 July 2009 |
- S. Gilbert. Developmental Biology. Sinauer, Massachusettes, 2003. [Google Scholar]
- T. Sadler. Langman's Medical Embryology. Lippincott Williams & Wilkins, Maryland, 9th edition, 2004. [Google Scholar]
- J. Murray. Mathematical biology. Springer - Verlag, Berlin, third edition, 2003. [Google Scholar]
- W. Aird. Endothelial Biomedicine. Cambridge university press, 2007. [Google Scholar]
- D. Manoussaki, S. Lubkin, R. Vernon, J. Murray. A mechanical model for the formation of vascular networks in vitro. Acta Biotheor, 44 (1996) No. 3-4, 271–282. [Google Scholar]
- R. Merks, S. Brodsky, M. Goligorksy, S. Newman, J. Glazier. Cell elongation is key to in silico replication of in vitro vasculogenesis and subsequent remodeling. Dev Biol, 289 (2006) No. 1, 44–54. [Google Scholar]
- G. Serini, D. Ambrosi, E. Giraudo, A. Gamba, L. Preziosi, F. Bussolino. Modeling the early stages of vascular network assembly. EMBO J, 22 (2003) No. 8, 1771–1779. [Google Scholar]
- D. Berk, F. Yuan, M. Leunig, R. Jain. Fluorescence photobleaching with spatial fourier analysis: measurement of diffusion in light-scattering media. Biophys J, 65 (1993) No. 6, 2428–2436. [Google Scholar]
- M. Chambard, J. Gabrion, J. Mauchamp. Influence of collagen gel on the orientation of epithelial cell polarity: follicle formation from isolated thyroid cells and from preformed monolayers. J Cell Biol, 91 (1981) No. 1, 157–166. [Google Scholar]
- T. Miura. Modulation of activator diffusion by extracellular matrix in turing system. RIMS Kokyuroku Bessatsu, B3 (2007), 165-176. [Google Scholar]
- F. Crick. Diffusion in embryogenesis. Nature, 225 (1970) No. 5231, 420–422. [Google Scholar]
- G. Reeves, C. Muratov, T. Schuepbach, S. Shvartsman. Quantitative models of developmental pattern formation. Dev Cell, 11 (2006) No. 3, 289–300. [Google Scholar]
- H. Buelow, O. Hobert. The molecular diversity of glycosaminoglycans shapes animal development. Annu Rev Cell Dev Biol, 22 (2006), 375–407. [CrossRef] [PubMed] [Google Scholar]
- A. Okubo. Diffusion and ecological problems: mathematical models. Springer-Verlag, 1980. [Google Scholar]
- M. Iida, M. Mimura, H. Ninomiya. Diffusion, cross-diffusion and competitive interaction. J Math Biol, 53 (2006), 617-641. [Google Scholar]
- C. Nicholson, E. Sykova. Extracellular space structure revealed by diffusion analysis. Trends Neurosci, 21 (1998) No. 5, 207–215. [Google Scholar]
- R. Thorne, C. Nicholson. In vivo diffusion analysis with quantum dots and dextrans predicts the width of brain extracellular space. Proc Natl Acad Sci U S A, 103 (2006) No. 14, 5567–5572. [Google Scholar]
- F. Gelain, D. Bottai, A. Vescovi, S. Zhang. Designer self-assembling peptide nanofiber scaffolds for adult mouse neural stem cell 3-dimensional cultures. PLoS ONE, 1 (2006):e119. [Google Scholar]
- P. Iglesias and P. Devreotes. Navigating through models of chemotaxis. Curr Opin Cell Biol, 20 (2008) No. 1, 35–40. [Google Scholar]
- I. Barkefors, S. Le Jan, L. Jakobsson, E. Hejll, G. Carlson, H. Johansson, J. Jarvius, J. Park, N. Jeon, J. Kreuger. Endothelial cell migration in stable gradients of vascular endothelial growth factor a and fibroblast growth factor 2: effects on chemotaxis and chemokinesis. J Biol Chem, 283 (2008) No. 20, 13905–13912. [Google Scholar]
- J. Park, G. Keller, N. Ferrara. The vascular endothelial growth factor (vegf) isoforms: differential deposition into the subepithelial extracellular matrix and bioactivity of extracellular matrix-bound vegf. Mol Biol Cell, 4 (1993) No. 12, 1317–1326. [Google Scholar]
- C. Ruhrberg, H. Gerhardt, M. Golding, R. Watson, S. Ioannidou, H. Fujisawa, C. Betsholtz, D. Shima. Spatially restricted patterning cues provided by heparin-binding vegf-a control blood vessel branching morphogenesis. Genes Dev, 16 (2002) No. 20, 2684–2698. [Google Scholar]
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.