Control of the One Dimensional Map Dynamics of the Cardiac Action Potential Duration

Mounira Kesmia (1) , Souraya Boughaba (1) , Sabir Jacquir (2)

1 Département de Mathématiques
2 Le2i - Laboratoire Electronique, Informatique et Image [UMR6306]

The aim of this work is to investigate the control of the chaos in the one dimensional map which modelizes the duration of the current cardiac action potential (APD) as a function of the previous one. Using OGY control method, we obtain very satisfactory numerical results to stabilize the irregular heart rhythm into the normal rhythm.

Domaines: Mathématiques [math]; Systèmes dynamiques [math.DS]; Mathématiques [math]; Analyse classique [math.CA]

Mounira Kesmia, Souraya Boughaba, Sabir Jacquir. Control of the One Dimensional Map Dynamics of the Cardiac Action Potential Duration. 37TH ANNUAL INTERNATIONAL CONFERENCE OF THE IEEE ENGINEERING IN MEDICINE AND BIOLOGY SOCIETY, Sep 2015, Milano, Italy. IEEE, 2015. ⟨hal-01205618⟩