Investigation of phase portraits of three-dimensional models of gene networks
Sibirskij žurnal industrialʹnoj matematiki, Tome 9 (2006) no. 1, pp. 75-84.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{SJIM_2006_9_1_a5,
     author = {V. P. Golubyatnikov and A. G. Kleshchev and K. A. Klescheva and A. V. Kudriavtseva},
     title = {Investigation of phase portraits of three-dimensional models of gene networks},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {75--84},
     publisher = {mathdoc},
     volume = {9},
     number = {1},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2006_9_1_a5/}
}
TY  - JOUR
AU  - V. P. Golubyatnikov
AU  - A. G. Kleshchev
AU  - K. A. Klescheva
AU  - A. V. Kudriavtseva
TI  - Investigation of phase portraits of three-dimensional models of gene networks
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2006
SP  - 75
EP  - 84
VL  - 9
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2006_9_1_a5/
LA  - ru
ID  - SJIM_2006_9_1_a5
ER  - 
%0 Journal Article
%A V. P. Golubyatnikov
%A A. G. Kleshchev
%A K. A. Klescheva
%A A. V. Kudriavtseva
%T Investigation of phase portraits of three-dimensional models of gene networks
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2006
%P 75-84
%V 9
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2006_9_1_a5/
%G ru
%F SJIM_2006_9_1_a5
V. P. Golubyatnikov; A. G. Kleshchev; K. A. Klescheva; A. V. Kudriavtseva. Investigation of phase portraits of three-dimensional models of gene networks. Sibirskij žurnal industrialʹnoj matematiki, Tome 9 (2006) no. 1, pp. 75-84. http://geodesic.mathdoc.fr/item/SJIM_2006_9_1_a5/

[1] Golubyatnikov V. P., Likhoshvai V. A., Matushkin Yu. G., Fadeev S. I., Ratyshny A. V., Kolchanov N. A., “Mathematical and computermodeling of genetic net works”, Proc. Internat. Conf. Human and Computers, Univ. Press, Aizu, Japan, 2003, 200–205

[2] Likhoshvai V. A., Matushkin Yu. G., Fadeev S. I., “Zadachi teorii funktsionirovaniya gennykh setei”, Sib. zhurn. industr. matematiki, 6:2(14) (2003), 64–80 | MR

[3] Fadeev S. I., Likhoshvai V. A., “O gipoteticheskikh gennykh setyakh”, Sib. zhurn. industr. matematiki, 6:3(15) (2003), 134–154 | MR

[4] Mackey M. C., Glass L., “Oscillation and chaos in physiological control systems”, Science, 15 (1977), 287–289 | DOI

[5] Likhoshvai V. A., Matushkin Yu. G., Fadeev S. I., “The global operationmodes of gene networks determined by the structure of negative feedbacks”, Bioinformatics of Genome Regulation and Structure, Kluwer Acad. Press, Boston, 2004, 319–329

[6] Hasty J., McMillen D., Collins J. J., “Engineered gene circuits”, Nature, 420 (2002), 224–230 | DOI

[7] Golubyatnikov V. P., Likhoshvai V. A., Ratyushny A. V., “Existence of closed trajectories in 3D gene networks”, J. Three Dimensional Images, 18:4 (2004), 96–101

[8] Likhoshvai V. A., Fadeev S. I., Demidenko G. V., Matushkin Yu. G., “Modelirovanie uravneniem s zapazdyvayuschim argumentom mnogostadiinogo sinteza bez vetvleniya”, Sib. zhurn. industr. matematiki, 7:1(17) (2004), 73–94 | MR | Zbl

[9] Marsden Dzh., MakKraken M., Bifurkatsiya rozhdeniya tsikla i ee prilozheniya, Mir, M., 1980 | MR | Zbl

[10] Volokitin E. P., “O predelnykh tsiklakh v prosteishei modeli gipoteticheskoi gennoi seti”, Sib. zhurn. industr. matematiki, 7:3(19) (2004), 57–65 | MR | Zbl

[11] Gardner T. S., Cantor C. R., Collins J. J., “Construction of a genetic toggle switch in Escherichia coli”, Nature, 403 (2000), 339–342 | DOI

[12] Gonze D., Leloup J.-C., Goldbeter A., “Theoretical models for circadian rhythms in Neurospora and Drosophila”, C. R. Acad. Sci. Paris. Ser. Sciences de la Vie, 323 (2000), 57–67

[13] Elowitz M. B., Leibler S., “A synthetic oscillatory network of transcription regulators”, Nature, 403 (2000), 335–338 | DOI