Voir la notice de l'article provenant de la source Math-Net.Ru
@article{JSFU_2012_5_1_a11, author = {Dmitriy V. Petelin and Michael G. Sadovsky}, title = {Mathematical model of dynamics of a~cell cycle based on the allometric theory of growth}, journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika}, pages = {106--115}, publisher = {mathdoc}, volume = {5}, number = {1}, year = {2012}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/JSFU_2012_5_1_a11/} }
TY - JOUR AU - Dmitriy V. Petelin AU - Michael G. Sadovsky TI - Mathematical model of dynamics of a~cell cycle based on the allometric theory of growth JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2012 SP - 106 EP - 115 VL - 5 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2012_5_1_a11/ LA - ru ID - JSFU_2012_5_1_a11 ER -
%0 Journal Article %A Dmitriy V. Petelin %A Michael G. Sadovsky %T Mathematical model of dynamics of a~cell cycle based on the allometric theory of growth %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2012 %P 106-115 %V 5 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/JSFU_2012_5_1_a11/ %G ru %F JSFU_2012_5_1_a11
Dmitriy V. Petelin; Michael G. Sadovsky. Mathematical model of dynamics of a~cell cycle based on the allometric theory of growth. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 1, pp. 106-115. http://geodesic.mathdoc.fr/item/JSFU_2012_5_1_a11/
[1] E. M. Boczko, T. Gedeon, C. C. Stowers, T. R. Young, “ODE, RDE and SDE models of cell cycle dynamics and clustering in yeast”, Journal of Biological Dynamics, 4:4 (2010), 328–345 | DOI | MR
[2] Zh. Qu, W. R. Mac Lellan, J. N. Weiss, “Dynamics of the Cell Cycle: Checkpoints, Sizers, and Timers”, Biophysical Journal, 85 (2003), 3600–3611 | DOI
[3] J. Clairambault, Ph. Michel, B. Perthame, “A Mathematical Model of the Cell Cycle and Its Circadian Control”, Mathematical modeling of biological systems, Part IV, v. I, Modeling and Simulation in Science, Engineering and Technology, 2007, 239–251
[4] N. W. Trepode, H. A. Armelin, M. Bittner, J. Barrera, M. D. Gubitoso, R. F. Hashimoto, “A robust structural PGN model for control of cell-cycle progression stabilized by negative feedbacks”, EURASIP Journal on Bioinformatics and Systems Biology, 2007 (2007), 8–9 | DOI
[5] M. I. Davidich, E. B. Postnikov, “Bulevskaya model tsikla deleniya kletki drozhzhei, Schizosaccharomyces pombe: dinamika v sluchae normalnykh i vozmuschennykh nachalnykh uslovii”, Matem. biologiya i bioinformatika, 2:2 (2007), 377–386
[6] M. V. Mina, G. A. Klevezal, Rost zhivotnykh, Nauka, M., 1976
[7] A. N. Gorban, “Sistemy s nasledovaniem i effekty otbora”, Evolyutsionnoe modelirovanie i kinetika, Nauka, Novosibirsk, 1992, 40–72 | Zbl
[8] A. N. Gorban, “Selection Theorem for Systems with Inheritance”, Math. Model. Nat. Phenom., 2:4 (2007), 1–45 | DOI | MR
[9] E. M. Shkolnik, “Dinamika kletochnogo tsikla”, Dinamika khimicheskikh i biologicheskikh sistem, Nauka, Novosibirsk, 1989, 230–260
[10] A. B. Katok, B. Khasselblat, Vvedenie v sovremennuyu teoriyu dinamicheskikh sistem, Faktorial, M., 1999