Exact coherent structures and dynamics of cardiac tissue

Author

Byrne, Greg ; Marcotte, C. ; Grigoriev, Roman

Author_Institution

Georgia Inst. of Technol., Atlanta, GA, USA

fYear

2014

fDate

25-28 May 2014

Firstpage

69

Lastpage

70

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Cardiovascular Oscillations (ESGCO), 2014 8th Conference of the European Study Group on

Conference_Location

Trento

Type

conf

DOI

10.1109/ESGCO.2014.6847523

Filename

6847523