Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Irina Shlykova"'
Publikováno v:
Mathematics, Vol 12, Iss 8, p 1223 (2024)
A mathematical justification of some basic structural properties of stochastically perturbed gene regulatory networks, including those with autoregulation and delay, is offered in this paper. By using the theory of stochastic differential equations,
Externí odkaz:
https://doaj.org/article/6a8be207ad1a47eda84461a35fe249d1
Publikováno v:
Electronic Journal of Differential Equations, Vol 2008, Iss 104, Pp 1-36 (2008)
A method to study asymptotic properties of solutions to systems of differential equations with distributed time-delays and Boolean-type nonlinearities (step functions) is offered. Such systems arise in many applications, but this paper deals with spe
Externí odkaz:
https://doaj.org/article/ce69c5a5552344beb128087f423405f2
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 74:3518-3530
Given a functional differential equation with a discontinuity, a construction of its extension in the shape of a functional differential inclusion is offered. This construction can be regarded as a generalization of the famous Filippov approach to st
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6e949df4887526dc40dda4b2afccaa71
https://doi.org/10.1016/j.na.2011.02.037
https://doi.org/10.1016/j.na.2011.02.037
Autor:
Arcady Ponosov, Irina Shlykova
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 72:3786-3812
The problem of how the dynamics of the smooth gene networks is related to the simplified dynamics of the Boolean networks is studied. The emphasis is put on the gene regulatory networks with delay. Asymptotic analysis which is applied in the paper go
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::022830b646db25862c1517bbcda738f3
https://doi.org/10.1016/j.na.2010.01.016
https://doi.org/10.1016/j.na.2010.01.016
Publikováno v:
Progress in Analysis and Its Applications.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1a1bb0337ab54f480657386b7d7f4d82
https://doi.org/10.1142/9789814313179_0071
https://doi.org/10.1142/9789814313179_0071
Publikováno v:
AIP Conference Proceedings.
There are different ways of how to model gene regulatory networks. Differential equations allow for a detailed description of the network’s dynamics and provide an explicit model of the gene concentration changes over time. Production and relative
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f6265b8c7acbb48b5e8e6abc03c3cf6b
https://doi.org/10.1063/1.3241446
https://doi.org/10.1063/1.3241446
Publikováno v:
AIP Conference Proceedings.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ebd92d1a9db0e493e9792a654b3debee
https://doi.org/10.1063/1.2990971
https://doi.org/10.1063/1.2990971
Autor:
Irina Shlykova, Arcady Ponosov, Andrei Shindiapin, Yurii Nepomnyashchikh, Theodore E. Simos, George Psihoyios, Ch. Tsitouras
Publikováno v:
AIP Conference Proceedings.
A method to study asymptotic properties of solutions to systems of differential equations with distributed time‐delays and Boolean‐type nonlinearities (step functions) is offered. Such systems arise in many applications, but this paper deals with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bf575a77bb69600a29e780f5cac3d79b
https://doi.org/10.1063/1.2790192
https://doi.org/10.1063/1.2790192