BORDER COLLISION BIFURCATION CONTROL OF CARDIAC ALTERNANS
نویسندگان
چکیده
منابع مشابه
Border Collision bifurcation Control of Cardiac Alternans
The quenching of alternans is considered using a nonlinear cardiac conduction model. The model consists of a nonlinear discrete-time piecewise smooth system. Several authors have hypothesized that alternans arise in the model through a period doubling bifurcation. In this work, it is first shown that the alternans exhibited by the model actually arise through a period doubling border collision ...
متن کاملCardiac Alternans Arising from an Unfolded Border-Collision Bifurcation
Following an electrical stimulus, the transmembrane voltage of cardiac tissue rises rapidly and remains at a constant value before returning to the resting value, a phenomenon known as an action potential. When the pacing rate of a periodic train of stimuli is increased above a critical value, the action potential undergoes a perioddoubling bifurcation, where the resulting alternation of the ac...
متن کاملPeriod-doubling bifurcation to alternans in paced cardiac tissue: crossover from smooth to border-collision characteristics.
We investigate, both experimentally and theoretically, the period-doubling bifurcation to alternans in heart tissue. Previously, this phenomenon has been modeled with either smooth or border-collision dynamics. Using a modification of existing experimental techniques, we find a hybrid behavior: Very close to the bifurcation point, the dynamics is smooth, whereas further away it is border-collis...
متن کاملDynamic Bifurcation Control of Pathological Caridac Alternans
This paper describes the utility of bifurcation control for suppressing pathological rhythms (such as cardiac alternans) in nonlinear models of cardiac electro-physiologic activity. Washout filter aided feedback controller is employed to control the location and stability of the bifurcations. Important features of the dynamic control laws include equilibrium preservation even in the presence of...
متن کاملEvidence for an unfolded border-collision bifurcation in paced cardiac tissue
We investigate, both experimentally and theoretically, the bifurcation to alternans in heart tissue. Previously, this phenomenon has been modeled either as a smooth or as border-collision period-doubling bifurcation. Using a new experimental technique, we find a hybrid behavior: very close to the bifurcation point the dynamics are smooth-like, whereas further away they are bordercollision-like....
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ژورنال
عنوان ژورنال: International Journal of Bifurcation and Chaos
سال: 2004
ISSN: 0218-1274,1793-6551
DOI: 10.1142/s0218127404011351