Incorporating chemical signalling factors into cell-based models of growing epithelial tissues

Journal of Mathematical Biology

Volumn 65, Issue 3, 2012, Pages 441-463

  Smith, Aaron M ^a   Baker, Ruth E ^a   Kay, David ^b   Maini, Philip K ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b Oxford Centre for Integrative Systems Biology ^*  (United Kingdom)

Author keywords

Arbitrary Lagrangian Eulerian; Diffusion; Drosophila imaginal wing disc; Finite elements; Tissue growth; Vertex models

Indexed keywords

DPP PROTEIN, DROSOPHILA; DROSOPHILA PROTEIN;

ANIMAL; ARTICLE; BIOLOGICAL MODEL; CELL GROWTH; DROSOPHILA; EPITHELIUM; FINITE ELEMENT ANALYSIS; GROWTH, DEVELOPMENT AND AGING; METABOLISM; MITOSIS; MORPHOGENESIS; PHYSIOLOGY; SIGNAL TRANSDUCTION;

ANIMALS; CELL GROWTH PROCESSES; DROSOPHILA; DROSOPHILA PROTEINS; EPITHELIUM; FINITE ELEMENT ANALYSIS; MITOSIS; MODELS, BIOLOGICAL; MORPHOGENESIS; SIGNAL TRANSDUCTION;

EID: 84865791359     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-011-0464-y     Document Type: Article

References (25)

1. Aegerter-Wilmsen T, Aegerter CM, Hafen E, Basler K (2007) Model for the regulation of size in the wing imaginal disc of Drosophila. Mech Dev 124(4): 318-326.
2. Aegerter-Wilmsen T, Smith AC, Christen AJ, Aegerter CM, Hafen E, Basler K (2010) Exploring the effects of mechanical feedback on epithelial topology. Development 137(3): 499-506.
3. Affolter M, Basler K (2007) The Decapentaplegic morphogen gradient: from pattern formation to growth regulation. Nat Rev Genet 8(9): 663-674.
4. Belytschko TB, Kennedy JM (1978) Computer models for subassembly simulation. Nucl Eng Des 49(1-2): 17-38.
5. Bittig T, Wartlick O, Kicheva A, González-Gaitán M, Jülicher F (2008) Dynamics of anisotropic tissue growth. New J Phys 10(6): 063001.
6. Burke R, Basler K (1996) Dpp receptors are autonomously required for cell proliferation in the entire developing Drosophila wing. Development 122(7): 2261-2269.
7. Day SJ, Lawrence PA (2000) Measuring dimensions: the regulation of size and shape. Development 127(14): 2977-2987.
8. Donea J, Giuliani S, Halleux JP (1982) An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions. Comput Method Appl Mech Eng 33(1-3): 689-723.
9. Farhadifar R, Röper J-C, Aigouy B, Eaton S, Jülicher F (2007) The influence of cell mechanics, cell-cell interactions, and proliferation on epithelial packing. Curr Biol 17(24): 2095-2104.
10. Garcia-Bellido A, Merriam JR (1971) Parameters of the wing imaginal disc development of Drosophila melanogaster. Dev Biol 24(1): 61-87.
11. Honda H (1978) Description of cellular patterns by Dirichlet domains: the two-dimensional case. J Theor Biol 72(3): 523-543.
12. Hufnagel L, Teleman AA, Rouault H, Cohen SM, Shraiman BI (2007) On the mechanism of wing size determination in fly development. Proc Natl Acad Sci USA 104(10): 3835-3840.
13. Hughes TJR, Kam Liu W, Zimmermann TK (1981) Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Comput Method Appl Mech Eng 29(3): 329-349.
14. Kicheva A, Pantazis P, Bollenbach T, Kalaidzidis Y, Bittig T, Jülicher F, González-Gaitán M (2007) Kinetics of morphogen gradient formation. Science 315(5811): 521-525.
15. Landsberg KP, Farhadifar R, Ranft J, Umetsu D, Widmann TJ, Bittig T, Said A, Jülicher F, Dahmann C (2009) Increased cell bond tension governs cell sorting at the Drosophila anteroposterior compartment boundary. Curr Biol 19(22): 1950-1955.
16. Martín FA, Herrera SC, Morata G (2009) Cell competition, growth and size control in the Drosophila wing imaginal disc. Development 136(22): 3747-3756.
17. Nagai T, Honda H (2001) A dynamic cell model for the formation of epithelial tissue. Philos Mag B 81: 699-719.
18. Nobile F (2001) Numerical approximation of fluid-structure interaction problems with application to haemodynamics. PhD thesis, École Polytechnique Fédérale de Lausanne, Switzerland.
19. Odell GM, Oster G, Alberch P, Burnside B (1981) The mechanical basis of morphogenesis. Part I: epithelial folding and invagination. Dev Biol 85(2): 446-462.
20. Rauzi M, Verant P, Lecuit T, Lenne P-F (2008) Nature and anisotropy of cortical forces orienting Drosophila tissue morphogenesis. Nat Cell Biol 10(12): 1401-1410.
21. Rogulja D, Irvine KD (2005) Regulation of cell proliferation by a morphogen gradient. Cell 123(3): 449-461.
22. Serrano N, O'Farrell PH (1997) Limb morphogenesis: connections between patterning and growth. Curr Biol 7(3): R186-R195.
23. Spencer FA, Hoffmann FM, Gelbart WM (1982) Decapentaplegic: a gene complex affecting morphogenesis in Drosophila melanogaster. Cell 28(3): 451-461.
24. Wartlick O, Mumcu P, Kicheva A, Bittig T, Seum C, Jülicher F, González-Gaitán M (2011) Dynamics of Dpp signaling and proliferation control. Science 331(6021): 1154-1159.
25. Weliky M, Oster G (1990) The mechanical basis of cell rearrangement. Part I: epithelial morphogenesis during Fundulus epiboly. Development 109(2): 373-386.