Publication Date
2022
Document Type
Dissertation/Thesis
First Advisor
Mincheva, Maya
Degree Name
M.S. (Master of Science)
Legacy Department
Department of Mathematical Sciences
Abstract
Otero-Muras, Banga, and Alonso in [18] state biological reaction systems exhibit multistationarity, a system with at least two positive steady states. According to Otero-Muras,Banga, and Alonso in [18], initial conditions within the system, however, dictate the number of stable states in that system. Furthermore, multistationarity is an important componenet present in biological reaction systems that manage cellular responses [18]. Signal pathways regulating cell maturation, cell replication, and cell death rely on such systems [18]. Given the importance of multistationarity in biological reaction systems, it is necessary to construct a mathematical model, one in which multistationarity will be configured. More importantly, inequalities will be obtained to determine multistationarity region in parameter space.
Recommended Citation
Anderson, Killian Kearney, "Analyzing Multistationarity in a Model of a Dual Phosphorylation Network" (2022). Graduate Research Theses & Dissertations. 6818.
https://huskiecommons.lib.niu.edu/allgraduate-thesesdissertations/6818
Extent
47 pages
Language
eng
Publisher
Northern Illinois University
Rights Statement
In Copyright
Rights Statement 2
NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.
Media Type
Text