Phase Oscillator Network Models of Brain Dynamics

Phase Oscillator Network Models of Brain Dynamics. Laing, C. R. In Computational Models of Brain and Behavior, pages 505–517. John Wiley & Sons, Ltd, Chichester, UK, September, 2017.

Paper doi abstract bibtex

Networks of periodically ﬁring neurons can be modelled as networks of coupled phase oscillators, each oscillator being described by a single angular variable. Networks of two types of neural phase oscillators are analysed here: the theta neuron and the Winfree oscillator. By taking the limit of an inﬁnite number of neurons and using the Ott/Antonsen ansatz, we derive and then numerically analyse “neural ﬁeld” type diﬀerential equations which govern the evolution of macroscopic order parameter-like quantities. The mathematical framework presented here allows one eﬃciently simulate such networks, and to investigate the eﬀects of changing the structure of a network of neurons, or the parameters of such networks.

@incollection{laing2017,
	address = {Chichester, UK},
	title = {Phase {Oscillator} {Network} {Models} of {Brain} {Dynamics}},
	isbn = {978-1-119-15919-3 978-1-119-15901-8 978-1-119-15906-3},
	url = {https://onlinelibrary.wiley.com/doi/10.1002/9781119159193.ch37},
	abstract = {Networks of periodically ﬁring neurons can be modelled as networks of coupled phase oscillators, each oscillator being described by a single angular variable. Networks of two types of neural phase oscillators are analysed here: the theta neuron and the Winfree oscillator. By taking the limit of an inﬁnite number of neurons and using the Ott/Antonsen ansatz, we derive and then numerically analyse “neural ﬁeld” type diﬀerential equations which govern the evolution of macroscopic order parameter-like quantities. The mathematical framework presented here allows one eﬃciently simulate such networks, and to investigate the eﬀects of changing the structure of a network of neurons, or the parameters of such networks.},
	language = {en},
	urldate = {2022-01-25},
	booktitle = {Computational {Models} of {Brain} and {Behavior}},
	publisher = {John Wiley \& Sons, Ltd},
	author = {Laing, Carlo R.},
	editor = {Moustafa, Ahmed A.},
	month = sep,
	year = {2017},
	doi = {10.1002/9781119159193.ch37},
	pages = {505--517},
	file = {Laing - 2017 - Phase Oscillator Network Models of Brain Dynamics.pdf:/Users/lcneuro/Zotero/storage/UJYA6T5A/Laing - 2017 - Phase Oscillator Network Models of Brain Dynamics.pdf:application/pdf},
}

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