Skip to main content
SpringerLink
Log in
Book cover

International Conference on Computational Methods in Systems Biology

CMSB 2019: Computational Methods in Systems Biology pp 360–363Cite as

Symmetry Breaking for GATA-1/PU.1 Model

  • Conference paper
  • First Online:

  • 584 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNBI,volume 11773))

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.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Notes

  1. 1.

    There is an increasing number of studies that develop qualitative as well as quantitative mechanistic models of hematopoietic stem cells at different levels of resolution, see e.g. [1, 4,5,6, 8] and others.

References

  1. 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)

    Article  Google Scholar 

  2. 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

    Book  Google Scholar 

  3. Hajnová, V., Přibylová, L.: Bifurcation manifolds in predator-prey models computed by Gröbner basis method. Math. Biosci. 312, 1–7 (2019)

    Article  MathSciNet  Google Scholar 

  4. 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)

    Article  Google Scholar 

  5. Olariu, V., Peterson, C.: Kinetic models of hematopoietic differentiation. Wiley Interdisc. Rev. Syst. Biol. Med. 11(1), e1424 (2019)

    Article  Google Scholar 

  6. 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)

    Article  MathSciNet  Google Scholar 

  7. Seydel, R.: Practical Bifurcation and Stability Analysis, vol. 5. Springer, New York (2009). https://doi.org/10.1007/978-1-4419-1740-9

    Book  MATH  Google Scholar 

  8. 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

    Article  Google Scholar 

  9. Wiggins, S.: Introduction to Applied Nonlinear Dynamical Systems and Chaos, vol. 2. Springer, New York (2003). https://doi.org/10.1007/b97481

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, Faculty of Science, Masaryk University, Kotlářská 2, 611 37, Brno, Czech Republic

    Lenka Přibylová & Barbora Losová

Authors
  1. Lenka Přibylová
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Barbora Losová
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Lenka Přibylová .

Editor information

Editors and Affiliations

  1. University of Trieste, Trieste, Italy

    Luca Bortolussi

  2. University of Edinburgh, Edinburgh, UK

    Guido Sanguinetti

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

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

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-31304-3_27

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-31303-6

  • Online ISBN: 978-3-030-31304-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation