Multiple Scenarios of Transition to Chaos in the Alternative Splicing Model

Vladislav V. Kogai, Vitaly A. Likhoshvai, Stanislav I. Fadeev, Tamara M. Khlebodarova

Результат исследования: Научные публикации в периодических изданияхстатья

6 Цитирования (Scopus)

Аннотация

We have investigated the scenarios of transition to chaos in the mathematical model of a genetic system constituted by a single transcription factor-encoding gene, the expression of which is self-regulated by a feedback loop that involves protein isoforms. Alternative splicing results in the synthesis of protein isoforms providing opposite regulatory outcomes-activation or repression. The model is represented by a differential equation with two delayed arguments. The possibility of transition to chaos dynamics via all classical scenarios: a cascade of period-doubling bifurcations, quasiperiodicity and type-I, type-II and type-III intermittencies, has been numerically demonstrated. The parametric features of each type of transition to chaos have been described.

Язык оригиналаанглийский
Номер статьи1730006
Число страниц20
ЖурналInternational Journal of Bifurcation and Chaos
Том27
Номер выпуска2
DOI
СостояниеОпубликовано - 1 фев 2017

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