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Reaction Network Analysis of Metabolic Insulin Signaling
- Source :
- Bulletin of Mathematical Biology. 84
- Publication Year :
- 2022
- Publisher :
- Springer Science and Business Media LLC, 2022.
-
Abstract
- Absolute concentration robustness (ACR) and concordance are novel concepts in the theory of robustness and stability within Chemical Reaction Network Theory. In this paper, we have extended Shinar and Feinberg's reaction network analysis approach to the insulin signaling system based on recent advances in decomposing reaction networks. We have shown that the network with 20 species, 35 complexes, and 35 reactions is concordant, implying at most one positive equilibrium in each of its stoichiometric compatibility class. We have obtained the system's finest independent decomposition consisting of 10 subnetworks, a coarsening of which reveals three subnetworks which are not only functionally but also structurally important. Utilizing the network's deficiency-oriented coarsening, we have developed a method to determine positive equilibria for the entire network. Our analysis has also shown that the system has ACR in 8 species all coming from a deficiency zero subnetwork. Interestingly, we have shown that, for a set of rate constants, the insulin-regulated glucose transporter GLUT4 (important in glucose energy metabolism), has stable ACR.<br />34 pages, 1 figure
- Subjects :
- Pharmacology
Molecular Networks (q-bio.MN)
General Mathematics
General Neuroscience
Immunology
General Biochemistry, Genetics and Molecular Biology
Mathematics - Algebraic Geometry
Computational Theory and Mathematics
FOS: Biological sciences
FOS: Mathematics
Quantitative Biology - Molecular Networks
General Agricultural and Biological Sciences
Algebraic Geometry (math.AG)
General Environmental Science
Subjects
Details
- ISSN :
- 15229602 and 00928240
- Volume :
- 84
- Database :
- OpenAIRE
- Journal :
- Bulletin of Mathematical Biology
- Accession number :
- edsair.doi.dedup.....e701b9f7fed11339af31b4777a7b1f90