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osu1181879964.pdf (10.08 MB)
ETD Abstract Container
Abstract Header
Irregular behavior in an excitatory-inhibitory network
Author Info
Park, Choongseok
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=osu1181879964
Abstract Details
Year and Degree
2007, Doctor of Philosophy, Ohio State University, Mathematics.
Abstract
Excitatory-inhibitory networks arise in many regions throughout the central nervous system and display complex spatio-temporal firing patterns. The neuronal activity patterns (of individual neurons and/or the whole network) are closely related to the functional status of the system. One example is the basal ganglia, a group of subcortical nuclei that play an important role in the generation of movement. Dysfunction of the basal ganglia is associated with movement disorders such as Parkinson's disease and Huntington's chorea. Numerous experiments have demonstrated that neurons within the basal ganglia display a variety of dynamic behaviors such as correlated oscillatory activity and irregular, uncorrelated spiking. Patterns of neuronal activity differ between normal and pathological states. Neither the origins of these firing patterns nor the mechanisms that underlie the patterns are well understood. I consider a biophysical model of excitatory-inhibitory network in the basal ganglia and explore how specific biophysical properties of the network contribute to the generation of each activity and transitions between them. I use geometric dynamical systems and singular perturbation methods to reduce the model systematically to a simpler set of equations, which is suitable for analysis. The analysis reveals a set of concrete conditions for the generation of each activity pattern, especially of irregular behavior. The results specify the dependence on the strengths of synaptic connections and the intrinsic firing properties of the cells in the irregular regime when applied to the subthalamopallidal network of the basal ganglia.
Committee
David Terman (Advisor)
Subject Headings
Mathematics
Keywords
IRREGULAR BEHAVIOR
;
AN EXCITATORY-INHIBITORY NETWORK
;
BASAL GANGLIA
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Citations
Park, C. (2007).
Irregular behavior in an excitatory-inhibitory network
[Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1181879964
APA Style (7th edition)
Park, Choongseok.
Irregular behavior in an excitatory-inhibitory network.
2007. Ohio State University, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=osu1181879964.
MLA Style (8th edition)
Park, Choongseok. "Irregular behavior in an excitatory-inhibitory network." Doctoral dissertation, Ohio State University, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=osu1181879964
Chicago Manual of Style (17th edition)
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Document number:
osu1181879964
Download Count:
511
Copyright Info
© 2007, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.