6533b836fe1ef96bd12a10c8

RESEARCH PRODUCT

Predictive Chaos Control for the 1D-map of Action Potential Duration

Mounira KesmiaSoraya BoughabaSabir Jacquir

subject

[ MATH ] Mathematics [math]Action Potential Duration (APD)chaos[ NLIN ] Nonlinear Sciences [physics][NLIN] Nonlinear Sciences [physics][MATH] Mathematics [math][NLIN]Nonlinear Sciences [physics][MATH]Mathematics [math]normal rhythmirregular heart rhythmequilibrium pointpredictive control

description

International audience; In the present work, a nonlinear control method namely predictive controlis investigated. The proposed method allows stabilizing unstable period-1 rhythm.Using mathematical analysis and computer simulations, we show that this methodcan be used to control chaotic behavior or pathological rhythms. As example, theresults are illustrated in the case of the 1D-map action potential duration (APDi+1)which modelizes the cardiac action potential duration as the function of the previousone (APDi).

yearjournalcountryeditionlanguage
2016-01-01
https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01343878