Analysis and modeling of stochastic oscillations with applications to biology

Author

Jorge Nicolas Brea

Keywords and Phrases

Direction in coupling; Phase resetting

Abstract

"In this thesis we will look at different types of couplings between oscillators as well as different network topologies. We analyze different dynamical properties of these networks that will allow us to tackle some interesting problems in neuroscience. These dynamical properties can be categorized into two different groups. Those relevant to stationary behavior of the particular dynamical system, such as synchronization between oscillators, and those whose interesting dynamics pertains to tis transient state, we will look at a specific example where understanding transient states of ensembles of neurons can be important for the treatment of Parkinson's disease"--Introduction, page 1.

Advisor(s)

Moss, Frank E.

Committee Member(s)

Harris, Harold H.
Neiman, Alexander
Henson, Bob
Vojta, Thomas
Parris, Paul Ernest, 1954-

Department(s)

Physics

Degree Name

Ph. D. in Physics

Sponsor(s)

National Science Foundation (U.S.)
United States. Office of Naval Research

Comments

Dissertation completed as part of a cooperative degree program with the University of Missouri--Rolla and the University of Missouri--St. Louis.

Publisher

University of Missouri--Rolla

Publication Date

Spring 2007

Pagination

ix, 97 pages

Note about bibliography

Includes bibliographical references (pages 90-96).

Rights

© 2007 Jorge Nicolas Brea, All rights reserved.

Document Type

Dissertation - Citation

File Type

text

Language

English

Subject Headings

Nonlinear oscillationsStochastic systemsSynchronization

Thesis Number

T 9188

Print OCLC #

191077842

Recommended Citation

Brea, Jorge Nicolas, "Analysis and modeling of stochastic oscillations with applications to biology" (2007). Doctoral Dissertations. 1746.
https://scholarsmine.mst.edu/doctoral_dissertations/1746