Numerical bifurcation analysis of the pattern formation in a cell based auxin transport model-Reference-Cited by-同舟云学术

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Numerical bifurcation analysis of the pattern formation in a cell based auxin transport model

Published:2012-09-27 Issue:5 Volume:67 Page:1279-1305
ISSN:0303-6812
Container-title:Journal of Mathematical Biology
language:en
Short-container-title:J. Math. Biol.

Author:

Draelants Delphine,Broeckhove Jan,Beemster Gerrit T. S.,Vanroose Wim

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Modeling and Simulation

Link

http://link.springer.com/content/pdf/10.1007/s00285-012-0588-8.pdf

Reference26 articles.

1. Allgower E, Georg K (1994) Numerical path following. Springer, Berlin

2. Bayer EM, Smith RS, Mandel T, Nakayama N, Sauer M, Prusinkiewcz P, Kuhlemeier C (2009) Integration of transport-based models for phyllotaxis and midvein formation. Genes Dev 23:373–384

3. Benková E, Michniewicz M, Sauer M, Teichmann T, Seifertová D, Jürgens G, Friml J (2003) Local, efflux-dependent auxin gradients as a common module for plant organ formation. Cell 115:591–602

4. Bilsborough G, Runions A, Barkoulas M, Jenkins H, Hasson A, Galinha C, Laufs P, Hay A, Prusinkiewicz P, Tsiantis M (2011) Model for the regulation of arabidopsis thaliana leaf margin development. Proc Natl Acad Sci USA 108:3424–3429

5. Champneys AR, Sandstede B (2007) Numerical computation of coherent structures. In: Krauskopf B, Osinga HM, Galan-Vioque J (eds) Numerical continuation methods for dynamical systems. Springer, Berlin, pp 331–358

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