Excitable media comprise a class of models for a wide range of physical, chemical, and biological systems that exhibit spontaneous formation of spatial patterns. Patterns in Excitable Media: Genesis, Dynamics, and Control explores several aspects of the dynamics of such patterns—in particular their evolution upon interaction with structural and functional heterogeneities in the system.
The book provides readers with an introduction to recent developments in the interdisciplinary field of dynamics and control of patterns in nonlinear biological systems described by excitable media models. It also discusses low-amplitude control schemes for eliminating such patterns from an excitable medium which has direct clinical relevance in view of the close connection to life-threatening cardiac arrhythmia.
"… a good introduction for undergraduates and early graduate students to the dynamic formation of patterns in reaction–diffusion systems. … I would recommend Patterns in Excitable Media as supplemental material for multidisciplinary courses that deal with nonlinear dynamics, chaos, computational physics, and applied math."
—Physics Today, February 2016
INTRODUCING EXCITABLE MEDIA
Introducing Excitable Media
The World of Excitable Systems
Dynamics of Patterns in Excitable Media
Excitable Media Across Scales: A Gallery of Examples
DYNAMICS IN DISORDERED EXCITABLE MEDIA
Localized Defects and Dynamics
Spatial Gradients and Dynamics
Distributed Heterogeneities and Dynamics
Connection Topology, Networks, and Dynamics
CONTROLLING DYNAMICS OF EXCITABLE MEDIA
Control and Dynamical Systems
Controlling Multiperiodic Behavior
Control of Reentrant Waves and Spirals
Controlling Spatiotemporal Chaos