Mathematical and numerical models of two asymmetric gene networks

Vladimir Petrovich Golubyatnikov, Maxim Valer evich Kazantsev, Natalia Evgenievna Kirillova, Tatyana Anatol evna Bukharina, Dagmara Pavlovna Furman

Результат исследования: Научные публикации в периодических изданияхстатья

1 Цитирования (Scopus)

Аннотация

We construct and study mathematical models of two gene networks: a circular gene network of molecular repressilator, and a natural gene network which does not have circular structure. For the first model, we consider discretization of phase portrait of corresponding nonlinear dynamical system and find conditions of existence of an oscillating trajectory (cycle) in this phase portrait. The second model describes the central regulatory circuit of one gene network which acts on early stage of the fruit fly Drosophila melanogaster mechanoreceptors morphogenesis. For both models we give biological interpretations of our numerical simulations and give a short description of software elaborated specially for these experiments.

Язык оригиналаанглийский
Страницы (с-по)1271-1283
Число страниц13
ЖурналSiberian Electronic Mathematical Reports
Том15
DOI
СостояниеОпубликовано - 1 янв 2018

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