A Simple Model for the Degradation of Cross-Sectional Area of a Skeletal Muscle Fiber Due to the Transcription Factor FOXO-1
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Author/Creator ORCID
Date
2018-01-01
Type of Work
Department
Mathematics and Statistics
Program
Mathematics, Applied
Citation of Original Publication
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Access limited to the UMBC community. Item may possibly be obtained via Interlibrary Loan thorugh a local library, pending author/copyright holder's permission.
This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.
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Abstract
We are investigating, through mathematical modeling and analysis, the signaling pathway of the FOXO-1 protein family transcription factors that involve the activation by Insulin Growth Factors (IGF) and Protein Kinase B (Akt). In doing so, it is important to know how the phosphorylation state of the FOXO-1 proteins causes the degeneration of muscular-skeletal fibers \cite{Wimmer}. In this paper, we will be modeling biochemical behaviors involving the FOXO-1 protein family and its effects in muscle atrophy. In studying muscle atrophy we consider how the nuclear to cytoplasm FOXO-1 ratio, the total FOXO-1, and the nuclear FOXO-1 effect the amount of degradation protein produced by FOXO-1 to breakdown the muscle volume, and the cross-sectional area of the muscle over the course of several days.