Threshold Functions for Modeling Gene Regulatory Networks

A Master of Science thesis in Mathematics by Hadeel Ali Kittaneh entitled, “Threshold Functions for Modeling Gene Regulatory Networks”, submitted in June 2024. Thesis advisor is Dr. Abdul Salam Jarrah. Soft copy is available (Thesis, Completion Certificate, Approval Signatures, and AUS Archives Cons...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Kittaneh, Hadeel Ali (author)
التنسيق: doctoralThesis
منشور في: 2024
الموضوعات:
الوصول للمادة أونلاين:https://hdl.handle.net/11073/25627
الوسوم: إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
_version_ 1864513443746283520
author Kittaneh, Hadeel Ali
author_facet Kittaneh, Hadeel Ali
author_role author
dc.contributor.none.fl_str_mv Jarrah, Abdul Salam
dc.creator.none.fl_str_mv Kittaneh, Hadeel Ali
dc.date.none.fl_str_mv 2024-09-25T09:15:48Z
2024-09-25T09:15:48Z
2024-06
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv 29.232-2024.04
https://hdl.handle.net/11073/25627
dc.language.none.fl_str_mv en_US
dc.subject.none.fl_str_mv Threshold Function
Threshold Boolean Network
Boolean Network
Gene Regulatory Network
Attractors
Fixed point
Limit cycle
dc.title.none.fl_str_mv Threshold Functions for Modeling Gene Regulatory Networks
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/doctoralThesis
description A Master of Science thesis in Mathematics by Hadeel Ali Kittaneh entitled, “Threshold Functions for Modeling Gene Regulatory Networks”, submitted in June 2024. Thesis advisor is Dr. Abdul Salam Jarrah. Soft copy is available (Thesis, Completion Certificate, Approval Signatures, and AUS Archives Consent Form).
format doctoralThesis
id aus_2d50ad5fd567374c0d9b8490aa53339b
identifier_str_mv 29.232-2024.04
language_invalid_str_mv en_US
network_acronym_str aus
network_name_str aus
oai_identifier_str oai:repository.aus.edu:11073/25627
publishDate 2024
repository.mail.fl_str_mv
repository.name.fl_str_mv
repository_id_str
spelling Threshold Functions for Modeling Gene Regulatory NetworksKittaneh, Hadeel AliThreshold FunctionThreshold Boolean NetworkBoolean NetworkGene Regulatory NetworkAttractorsFixed pointLimit cycleA Master of Science thesis in Mathematics by Hadeel Ali Kittaneh entitled, “Threshold Functions for Modeling Gene Regulatory Networks”, submitted in June 2024. Thesis advisor is Dr. Abdul Salam Jarrah. Soft copy is available (Thesis, Completion Certificate, Approval Signatures, and AUS Archives Consent Form).In this thesis, we explore the properties of threshold functions with a unique updating rule and their relevance to gene regulatory models. We conduct a comparative analysis between Threshold Boolean Networks (TBNs) and Random Boolean Networks, focusing on variations in the number of inputs per gene. This analysis helps us understand how input connectivity influences network stability and phase transitions. We also investigate the dynamics and robustness of TBNs, emphasizing fixed interaction rules characteristic of genetic systems, unlike previous studies that use annealed approximations. Furthermore, we propose a new approach to assess the robustness of these networks, addressing the issue of multiple attractors in threshold Boolean networks. Our findings enhance the understanding of threshold Boolean functions and their applications in modeling gene regulatory networks.College of Arts and SciencesDepartment of Mathematics and StatisticsMaster of Science in Mathematics (MSMTH)Jarrah, Abdul Salam2024-09-25T09:15:48Z2024-09-25T09:15:48Z2024-06info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisapplication/pdf29.232-2024.04https://hdl.handle.net/11073/25627en_USoai:repository.aus.edu:11073/256272025-11-11T07:05:36Z
spellingShingle Threshold Functions for Modeling Gene Regulatory Networks
Kittaneh, Hadeel Ali
Threshold Function
Threshold Boolean Network
Boolean Network
Gene Regulatory Network
Attractors
Fixed point
Limit cycle
status_str publishedVersion
title Threshold Functions for Modeling Gene Regulatory Networks
title_full Threshold Functions for Modeling Gene Regulatory Networks
title_fullStr Threshold Functions for Modeling Gene Regulatory Networks
title_full_unstemmed Threshold Functions for Modeling Gene Regulatory Networks
title_short Threshold Functions for Modeling Gene Regulatory Networks
title_sort Threshold Functions for Modeling Gene Regulatory Networks
topic Threshold Function
Threshold Boolean Network
Boolean Network
Gene Regulatory Network
Attractors
Fixed point
Limit cycle
url https://hdl.handle.net/11073/25627