TY - JOUR

T1 - Multiple Scenarios of Transition to Chaos in the Alternative Splicing Model

AU - Kogai, Vladislav V.

AU - Likhoshvai, Vitaly A.

AU - Fadeev, Stanislav I.

AU - Khlebodarova, Tamara M.

PY - 2017/2/1

Y1 - 2017/2/1

N2 - 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.

AB - 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.

KW - alternative splicing

KW - deterministic chaos

KW - Feigenbaum's intermittency and quasiperiodicity route to chaos

KW - gene networks

KW - Modeling

KW - QUASI-PERIODIC ROUTE

KW - TRANSCRIPTION FACTORS

KW - COMPLEX DYNAMICS

KW - CIRCADIAN-RHYTHMS

KW - BEHAVIOR

KW - DETERMINISTIC CHAOS

KW - III INTERMITTENCY

KW - MATHEMATICAL-MODEL

KW - GENE-EXPRESSION

KW - OSCILLATIONS

UR - http://www.scopus.com/inward/record.url?scp=85016043517&partnerID=8YFLogxK

U2 - 10.1142/S0218127417300063

DO - 10.1142/S0218127417300063

M3 - Article

AN - SCOPUS:85016043517

VL - 27

JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

SN - 0218-1274

IS - 2

M1 - 1730006

ER -