Title :
Exact coherent structures and dynamics of cardiac tissue
Author :
Byrne, Greg ; Marcotte, C. ; Grigoriev, Roman
Author_Institution :
Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
High dimensional spatiotemporal chaos underpins the dynamics associated with life threatening cardiac arrhythmias. Our research aims to construct a reduced-order model of the chaotic dynamics based on recurrent unstable solutions and their dynamical connections. This reduced model will provide a novel dynamical systems approach for terminating arrhythmias. We describe the search for unstable solutions in nonlinear reaction-diffusion models of cardiac tissue and discuss recent efforts to reduce local symmetries that describe multi-spiral states.
Keywords :
biological tissues; cardiology; chaos; medical disorders; reaction-diffusion systems; spatiotemporal phenomena; cardiac tissue dynamics; chaotic dynamics; dynamical connections; exact coherent structures; high dimensional spatiotemporal chaos; life threatening cardiac arrhythmias; multispiral states; nonlinear reaction-diffusion models; recurrent unstable solutions; reduced-order model; Cardiac tissue; Oscillators; Space vehicles; Spatiotemporal phenomena; Spirals; Tiles;
Conference_Titel :
Cardiovascular Oscillations (ESGCO), 2014 8th Conference of the European Study Group on
Conference_Location :
Trento
DOI :
10.1109/ESGCO.2014.6847523
