Author(s):
Voropaeva Olga Falaleevna
Dr.
Position: Leading research officer
Office: Federal Research Centerfor Information and Computational Technologies
Address: 630090, Russia, Novosibirsk, ac. Lavrentyev Avenue, 6
Phone Office: (383) 330-85-70
E-mail: vorop@ict.nsc.ru
SPIN-code: 6550-0849

Kozlova Alina Olegovna
Position: Student
Address: 630090, Russia, Novosibirsk, ac. Lavrentyev Avenue, 6
E-mail: lnkzlv1@gmail.com

Senotrusova Sofya Dmitrievna
Position: Junior Research Scientist
Office: Federal Research Center for Information and Computational Technologies
Address: 630090, Russia, Novosibirsk, Academician M.A. Lavrentiev avenue, 6
E-mail: senotrusova.s@mail.ru
SPIN-code: 2066-6054

References:
[1] Lane, D., Levine, A. p53 research: The past thirty years and the next thirty years. Cold Spring Harb Perspect Biol. 2010; 2(12):a000893.
[2] Geva-Zatorsky, N., Rosenfeld, N., Itzkovitz, S., Milo, R., Sigal, A., Dekel, E., Yarnitzky, T., Liron, Y., Polak, P., Lahav, G., Alon, U. Oscillations and variability in the p53 system. Molecular Systems Biology. 2006; 2(1): 1–13.
[3] Toettcher, J.E., Mock, C., Batchelor, E., Loewer, A., Lahav, G. A synthetic–natural hybrid oscillator in human cells. Proceedings of the National Academy of Sciences of the United States of America. 2010; 107(39):17047–17052.
[4] Mihalas, GI., Simon, Z., Balea, G., Popa, E. Possible oscillatory behavior in p53–Mdm2 interaction computer simulation. Journal of Biological Systems. 2000; 8(1): 21–29.
[5] Tiana, G., Jensen, M.H., Sneppen, K. Time delay as a key to apoptosis induction in the p53 network. The European Physical Journal B-Condensed Matter and Complex Systems. 2002; 29(1):135–140.
[6] Ma, L., Wagner, J., Rice, J., Hu, W., Levine, A., Stolovitzky, G. A plausible model for the digital response of p53 to DNA damage. Proceedings of the National Academy of Sciences of the United States of America. 2005; 102(4):14266–14271.
[7] Horhat, R.F., Neamtu, M., Mircea, G. Mathematical models and numerical simulations for the p53-Mdm2 network. Applied Sciences. 2008; (10):94–106.
[8] Likhoshvai, V.A., Fadeev, S.I., Demidenko, G.V., Matushkin, Yu.G. Modeling nonbranching multistage synthesis by an equation with retarded argument. Sibirskiy Zhurnal Industrialnoy Matematiki. 2004; 7(1):73–94. (In Russ.).
[9] Melnik, I.A. On the nonlinear system of differential equations modelling of multiphase synthesis of a substance. Vestnik TSU, Seriya: Natural and engineering sciences. 2011; 16(5):1254–1259. (In Russ.)
[10] Likhoshvay, V. A., Fadeev, S. I., Shtokalo, D. N. Ob issledovanii nelineynykh modeley mnogostadiynogo sinteza veshchestva [On the study of nonlinear models of multiphase synthesis of a substance]. Preprint 246. Novosibirsk:Institut Matematiki im. Soboleva; 2010: 37. (In Russ.)
[11] Demidenko, G.V. Systems of differential equations of higher dimension and delay equations. Sibirskii Matematicheskii Zhurnal. 2012; 53(6):1021—1028.
[12] Voropaeva, O.F., Shokin, Yu.I., Nepomnyashchikh, L.M., Senchukova, S.R. Matematicheskoe mo delirovanie funktsionirovaniya i regulyatsii biologicheskoy sistemy p53–Mdm2 [Mathematical Model of Function and Regulation of the p53–Mdm2 biological System]. Moscow: Publishing House RAMS; 2014. (In Russ.)
[13] Voropaeva, O.F., Shokin, Yu.I. Numerical simulation in medicine: Formulations of the problems and some results of calculations. Computational Technologies. 2012; 17(4):29–55. (In Russ.)
[14] Voropaeva, O.F., Shokin, Yu.I. Numerical simulation of feedback p53–Mdm2 in biological process of apoptosis. Computational Technologies. 2012; 17(6):47–63. (In Russ.)
[15] Voropaeva, O.F., Shokin, Yu.I., Nepomnyashchikh, L.M., Senchukova, S.R. Mathematical Modeling of Functioning of the p53–Mdm2 Protein System. Bulletin of Experimental Biology and Medicine. 2014; 157(2):291–294.
[16] Voropaeva, O.F., Shokin, Yu. I., Nepomnyashchikh, L.M., Senchukova, S. R. Mathematical Modeling of p53–Mdm2 Protein Biological System Regulation. Bulletin of Experimental Biology and Medicine. 2014; 157(4):535–538.
[17] Voropaeva, O.F., Senchukova, S.R., Brodt, K.V., Garbuzov, K.E., Mel'nichenko, A.V., Starikova, A.A. Numerical Simulation of Ultradian Oscillations in p53–Mdm2 Network under Stress Conditions. Mathematical Models and Computer Simulations. 2015; 7(3):281–293.
[18] Loewer, A., Batchelor, E., Gaglia, G., Lahav, G. Basal dynamics of p53 reveals transcriptionally attenuated pulses in cycling cells. Cell. 2010; 142(1):89–100.
[19] Batchelor, E., Loewer, A., Mock, C., Lahav, G. Stimulus-dependent dynamics of p53 in single cells. Molecular Systems Biology. 2011; (488):8.
[20] Babenko, K.I. Osnovy chislennogo analiza [Bases of Numerical Analysis]. Moscow:Nauka; 1986: 744. (In Russ.)