Publication Date
2024
Document Type
Dissertation/Thesis
First Advisor
Mincheva, Maya
Degree Name
Ph.D. (Doctor of Philosophy)
Legacy Department
Department of Mathematical Sciences
Abstract
Multi-site phosphorylation is an important mechanism in cell biology that regulates protein function and activity. It also plays a critical role in a wide variety of cellular processes that control intra-cellular signaling. Studies on mono- and dual-site phosphorylation have been conducted theoretically and experimentally by researchers. However, there is little research on triple-site and multi-site mixed mechanism phosphorylation.
The aim of this research is to study and identify the number of positive steady states (multistationarity) in a mathematical model of a triple-site mixed mechanism, processive and distributive, phosphorylation network. This research is accomplished by means of ordinary differential equations, Jacobian matrix, and degree theory.
Further study of multistationarity and identifying the parameter region, where multiple positive steady states exist, is extended to the $n$-site mixed mechanism phosphorylation networks, where $n\geq 3$.
Recommended Citation
Dajani, Suha Jayyousi, "Mixed Mechanisms of Multi-Site Phosphorylation" (2024). Graduate Research Theses & Dissertations. 7881.
https://huskiecommons.lib.niu.edu/allgraduate-thesesdissertations/7881
Extent
288 pages
Language
en
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
