Title |
Oscillating systems with cointegrated phase processes
|
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Published in |
Journal of Mathematical Biology, January 2017
|
DOI | 10.1007/s00285-017-1100-2 |
Pubmed ID | |
Authors |
Jacob Østergaard, Anders Rahbek, Susanne Ditlevsen |
Abstract |
We present cointegration analysis as a method to infer the network structure of a linearly phase coupled oscillating system. By defining a class of oscillating systems with interacting phases, we derive a data generating process where we can specify the coupling structure of a network that resembles biological processes. In particular we study a network of Winfree oscillators, for which we present a statistical analysis of various simulated networks, where we conclude on the coupling structure: the direction of feedback in the phase processes and proportional coupling strength between individual components of the system. We show that we can correctly classify the network structure for such a system by cointegration analysis, for various types of coupling, including uni-/bi-directional and all-to-all coupling. Finally, we analyze a set of EEG recordings and discuss the current applicability of cointegration analysis in the field of neuroscience. |
Mendeley readers
Geographical breakdown
Country | Count | As % |
---|---|---|
Unknown | 10 | 100% |
Demographic breakdown
Readers by professional status | Count | As % |
---|---|---|
Student > Doctoral Student | 3 | 30% |
Student > Ph. D. Student | 1 | 10% |
Student > Bachelor | 1 | 10% |
Professor | 1 | 10% |
Researcher | 1 | 10% |
Other | 1 | 10% |
Unknown | 2 | 20% |
Readers by discipline | Count | As % |
---|---|---|
Mathematics | 2 | 20% |
Biochemistry, Genetics and Molecular Biology | 1 | 10% |
Business, Management and Accounting | 1 | 10% |
Agricultural and Biological Sciences | 1 | 10% |
Decision Sciences | 1 | 10% |
Other | 1 | 10% |
Unknown | 3 | 30% |