The search for universal parameters for the models of morphogenesis
Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 3, pp. 58-66 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The parameters of models of morphogenesis can be considered universal in case they have biological meaning and their values can be freely exchanged between models of different classes. In the scope of this work exchange of chemical intercellular signals was chosen as the main mechanism controlling the activity of cells. For this case a set of universal parameters was obtained and it two models of morphogenesis, the discrete imitational and the average quantitative one, were built on this base.
@article{VMJ_2013_15_3_a6,
     author = {M. N. Nazarov},
     title = {The search for universal parameters for the models of morphogenesis},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {58--66},
     year = {2013},
     volume = {15},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2013_15_3_a6/}
}
TY  - JOUR
AU  - M. N. Nazarov
TI  - The search for universal parameters for the models of morphogenesis
JO  - Vladikavkazskij matematičeskij žurnal
PY  - 2013
SP  - 58
EP  - 66
VL  - 15
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/VMJ_2013_15_3_a6/
LA  - ru
ID  - VMJ_2013_15_3_a6
ER  - 
%0 Journal Article
%A M. N. Nazarov
%T The search for universal parameters for the models of morphogenesis
%J Vladikavkazskij matematičeskij žurnal
%D 2013
%P 58-66
%V 15
%N 3
%U http://geodesic.mathdoc.fr/item/VMJ_2013_15_3_a6/
%G ru
%F VMJ_2013_15_3_a6
M. N. Nazarov. The search for universal parameters for the models of morphogenesis. Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 3, pp. 58-66. http://geodesic.mathdoc.fr/item/VMJ_2013_15_3_a6/

[1] Lazareva G. G., Mironova V. V., Omelyanchuk N. A., Shvab I. V., Vshivkov V. A., Gorpinchenko D. N., Nikolaev S. V., Kolchanov N. A., “Matematicheskoe modelirovanie morfogeneza rastenii”, Sib. zhurn. vychisl. mat., 11:2 (2008), 151–166 | Zbl

[2] Diaz J., Alvarez-Buyalla E. R., “A model of the ethylene signaling pathway and its gene response in Arabidopsis thaliana: pathway cross-talk and noise-filtering properties”, Chaos, 16:2 (2006), 100–115 | DOI

[3] Mendoza L., Thieffry D., Alvarez-Buylla E. R., “Genetic control of flower morphogenesis in Arabidopsis thaliana: a logical analysis”, Chaos, 15:7 (1999), 593–606

[4] Lexa M., Genkov T., Malbeck J., Machakova I., Brzobohaty B., “Dynamics of Endogenous Cytokinin Pools in Tobacco Seedlings: a Modelling Approach”, Annals of Botany, 91:5 (2003), 585–597 | DOI

[5] Dumais J., Shaw S. L., Steele C. R., Long S. R., Ray P. M., “An anisotropic-viscoplastic model of plant cell morphogenesis by tip growth”, Int. J. Dev. Biol., 50:2–3 (2006), 209–222 | DOI

[6] Geitmann A., Ortega J. K. E., “Mechanics and modeling of plant cell growth”, Trends in Plant Science, 14:9 (2009), 467–478 | DOI

[7] Mjolsness E., Sharp D. H., Reinitz J., “A connectionist model of development”, J. Theor. Biol., 152:4 (1991), 429–453 | DOI

[8] Urdy S., “Principles of morphogenesis: the contribution of cellular automata models”, Acta Zoologica, 90:2 (2009), 205–208 | DOI

[9] Belousov L. V., The Dynamic Architecture of a Developing Organism, Kluwer Acad. Publ., Dordrecht., 1998, 248 pp.

[10] Belousov L. V., “Morphomechanics: goals, basic experiments and models”, Int. J. Dev. Biol., 50:2 (2006), 81–92 | DOI