Development and Analysis of a Quantitative Mathematical Model of Bistability in the Cross-Repression System Between APT and SLBO Within the JAK/STAT Signaling Pathway

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dc.contributor.advisorPeercy, Bradford
dc.contributor.authorBerez, Alyssa
dc.contributor.departmentMathematics and Statistics
dc.contributor.programMathematics, Applied
dc.date.accessioned2021-01-29T18:13:23Z
dc.date.available2021-01-29T18:13:23Z
dc.date.issued2019-01-01
dc.description.abstractCell migration is a key component in development and pathology. Inhibition of STAT by APT and cross-repression of APT and SLBO determines whether a border cell in the Drosophila oocyte becomes motile or remains stationary. Through mathematical modeling and analysis, we examine how the interaction of STAT, APT, and SLBO creates bistability in the JAK/STAT signaling pathway. In this paper we update and analyze the mechanistic Ge and Stonko model to best represent the processes of the JAK/STAT pathway. We utilize parameter, bifurcation, and phase plane analysis, and make reductions to the system to produce a minimal quantitative model. We achieve this by combining two subsystems of differential equations. The subsystem with dynamic APT and SLBO has the necessary elements for bistability. The subsystem with dynamic STAT monomer and activated STAT dimers incorporates how APT inhibits STAT. We found these two subsystems capture well the interaction of STAT, APT and SLBO in a four-variable model.
dc.formatapplication:pdf
dc.genretheses
dc.identifierdoi:10.13016/m2lhrz-bt0h
dc.identifier.other11995
dc.identifier.urihttp://hdl.handle.net/11603/20842
dc.languageen
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mathematics and Statistics Department Collection
dc.relation.ispartofUMBC Theses and Dissertations Collection
dc.relation.ispartofUMBC Graduate School Collection
dc.relation.ispartofUMBC Student Collection
dc.sourceOriginal File Name: Berez_umbc_0434M_11995.pdf
dc.subjectApontic
dc.subjectBorder Cells
dc.subjectCell Motility
dc.subjectDrosophila
dc.subjectJAK/STAT
dc.subjectSLBO
dc.titleDevelopment and Analysis of a Quantitative Mathematical Model of Bistability in the Cross-Repression System Between APT and SLBO Within the JAK/STAT Signaling Pathway
dc.typeText
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