Phase response theory extended to nonoscillatory network components

• Type of Material: Article
• Authors: Fred H. Sieling, Emory University; Santiago Archila, Emory University; Ryan Hooper, Emory University; Carmen C. Canavier, Louisiana State University; Astrid Prinz, Emory University
• Language: English
• Date: 2012-05
• Publisher: American Physical Society
• Publication Version: Final Published Version
• Copyright Statement: ©2012 American Physical Society
• Final Published Version (URL): http://dx.doi.org/10.1103/PhysRevE.85.056208
• Title of Journal or Parent Work: Physical Review E
• ISSN: 1539-3755
• Volume: 85
• Issue: 5
• Grant/Funding Information: This work was supported by NIH Grant No. 5R01NS054281-07.
• Keywords: pulsatile coupling; phase response theory; functional phase resetting curve; nonoscillatory elements; oscillatory networks
• Research Categories: Engineering, Biomedical; Biology, Anatomy; Biology, Cell

Abstract

New tools for analysis of oscillatory networks using phase response theory (PRT) under the assumption of pulsatile coupling have been developed steadily since the 1980s, but none have yet allowed for analysis of mixed systems containing nonoscillatory elements. This caveat has excluded the application of PRT to most real systems, which are often mixed. We show that a recently developed tool, the functional phase resetting curve (fPRC), provides a serendipitous benefit: it allows incorporation of nonoscillatory elements into systems of oscillators where PRT can be applied. We validate this method in a model system of neural oscillators and a biological system, the pyloric network of crustacean decapods.