Abstract
This paper explains a substantial feature of symmetry breaking of dynamical systems that include bistability from the mathematical point of view to highlight important consequences of this phenomenon to biochemical and system biology studies since symmetry breaking as a bifurcation itself can serve as a source of branching. We take hematopoietic stem cells modeling as a particular case.
This work was supported by grant Mathematical and statistical modeling number MUNI/A/1503/2018.
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References
Bokes, P., King, J.R., Loose, M.: A bistable genetic switch which does not require high co-operativity at the promoter: a two-timescale model for the PU.1-GATA-1 interaction. Math. Med. Biol. J. IMA 26(2), 117–132 (2009)
Cox, D., Little, J., OShea, D.: Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra. Springer, Cham (2013). https://doi.org/10.1007/978-3-319-16721-3
Hajnová, V., Přibylová, L.: Bifurcation manifolds in predator-prey models computed by Gröbner basis method. Math. Biosci. 312, 1–7 (2019)
May, G., et al.: Dynamic analysis of gene expression and genome-wide transcription factor binding during lineage specification of multipotent progenitors. Cell Stem Cell 13(6), 754–768 (2013)
Olariu, V., Peterson, C.: Kinetic models of hematopoietic differentiation. Wiley Interdisc. Rev. Syst. Biol. Med. 11(1), e1424 (2019)
Roeder, I., Glauche, I.: Towards an understanding of lineage specification in hematopoietic stem cells: a mathematical model for the interaction of transcription factors GATA-1 and PU.1. J. Theor. Biol. 241(4), 852–865 (2006)
Seydel, R.: Practical Bifurcation and Stability Analysis, vol. 5. Springer, New York (2009). https://doi.org/10.1007/978-1-4419-1740-9
Tian, T., Smith-Miles, K.: Mathematical modeling of GATA-switching for regulating the differentiation of hematopoietic stem cell. BMC Syst. Biol. 8, S8 (2014). BioMed Central
Wiggins, S.: Introduction to Applied Nonlinear Dynamical Systems and Chaos, vol. 2. Springer, New York (2003). https://doi.org/10.1007/b97481
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Přibylová, L., Losová, B. (2019). Symmetry Breaking for GATA-1/PU.1 Model. In: Bortolussi, L., Sanguinetti, G. (eds) Computational Methods in Systems Biology. CMSB 2019. Lecture Notes in Computer Science(), vol 11773. Springer, Cham. https://doi.org/10.1007/978-3-030-31304-3_27
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DOI: https://doi.org/10.1007/978-3-030-31304-3_27
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