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Integrating Network Science and Comp...
~
Vaiana, Michael.
Integrating Network Science and Computational Topology with Applications in Neuroscience Data Analytics.
紀錄類型:
書目-語言資料,手稿 : Monograph/item
正題名/作者:
Integrating Network Science and Computational Topology with Applications in Neuroscience Data Analytics./
作者:
Vaiana, Michael.
面頁冊數:
1 online resource (146 pages)
附註:
Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B.
Contained By:
Dissertation Abstracts International79-10B(E).
標題:
Mathematics. -
電子資源:
click for full text (PQDT)
ISBN:
9780438048881
Integrating Network Science and Computational Topology with Applications in Neuroscience Data Analytics.
Vaiana, Michael.
Integrating Network Science and Computational Topology with Applications in Neuroscience Data Analytics.
- 1 online resource (146 pages)
Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B.
Thesis (Ph.D.)--State University of New York at Buffalo, 2018.
Includes bibliographical references
Real world systems are complex, dynamic and exist across multiple scales. Recent revolutions in data collection and storage have provided researchers with unprecedented access to information about these systems in greater detail and variety than ever before. It is therefore imperative that we develop models and methods that are able to describe and detect changes in these systems through time and across scales. In this dissertation, I present work integrating multilayer networks and computational topology to perform multi-scale analysis of brain activity in epileptic mice. First, I present work providing theoretical advances to multilayer network theory. I prove that multilayer networks suffer from a resolution limit that prevents a popular method of community detection from detecting changes in community structure across layers of the network. I then propose an improvement to the multilayer network model that is more intuitive and helps mitigate the constraints of the resolution limit. Next, I describe work drawing from the tools of topological data analysis using persistent homology to localize and segment cells in biomedical images. Finally, I employing tools from computational topology and multilayer networks to study the evolution of neuronal dynamics in the brains of epileptic mice in the period leading up to seizure. This intricate, multi-scale analysis of brain dynamics enables us to identify evolving functional groups of neurons that drive the progression to a seizure.
Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018
Mode of access: World Wide Web
ISBN: 9780438048881Subjects--Topical Terms:
527692
Mathematics.
Index Terms--Genre/Form:
554714
Electronic books.
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Integrating Network Science and Computational Topology with Applications in Neuroscience Data Analytics.
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