Skip to main content

A Large Model Case Study: Solving CME for G1/S Checkpoint Involving the DNA-Damage Signal Transduction Pathway

  • Chapter
  • First Online:
Chemical Master Equation for Large Biological Networks
  • 311 Accesses

Abstract

The main objective of this chapter is to investigate the performance of the \({\textit{ISP LOLAS}}\) algorithm on a large biochemical system. We analyse the state-space and probabilities of the species by implementing and integrating the mathematical model of the G1/S cell-cycle checkpoint involving the DNA-damage signal transduction pathway. The mathematical model is based on chemical kinetic principles for simulating pathways to show the dynamic behaviour of a cell cycle checkpoint pathway having reactive components. The cell cycle checkpoint pathways involve interactions between different enzymes and proteins in linked reactions. Most models developed for cell cycle checkpoints are quantitative, notably the G1/S checkpoint, which involves interactions between different proteins. They provide important information about the internal mechanisms and complex behaviour of cell cycle checkpoints.

In this chapter, we will briefly introduce the robustness of critical proteins of G1/S checkpoint involving the DNA-damage signal transduction pathway model in Sect. 6.1. In Sect. 6.2, we will prepare and integrate the model to our \({\textit{ISP LOLAS}}\) algorithm and, in Sect. 6.3, we analyse the state-space of the model and the performance of the \({\textit{ISP LOLAS}}\) algorithm using computational experiments. In Sect. 6.4, we provide a brief discussion and summary of the study and its results.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 119.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 159.99
Price excludes VAT (USA)
  • Durable hardcover 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

Institutional subscriptions

References

  • Barak, Y., T. Juven, R. Haffner, and M. Oren. 1993. Mdm2 Expression is induced by wild type P53 activity. The EMBO Journal 12 (2): 461–468.

    Article  Google Scholar 

  • Coqueret, Olivier. 2003. New roles for P21 and P27 cell-cycle inhibitors: A function for each cell compartment? Trends in Cell Biology 13 (2): 65–70.

    Article  Google Scholar 

  • Dasika, Gopal K., Chin J. Suh, Song Zhao Lin, Patrick Sung, Alan Tomkinson, and Eva Y. H. P. Lee. 1999. DNA damage-induced cell cycle checkpoints and DNA strand break repair in development and tumorigenesis. Oncogene 18 (55): 7883–7899.

    Article  Google Scholar 

  • Dyson, Nicholas. 1998. The regulation of E2F by PRB-family proteins. - PubMed - NCBI. (617) :2245–2262.

    Google Scholar 

  • Geva-Zatorsky, Naama, Nitzan Rosenfeld, Shalev Itzkovitz, Ron Milo, Alex Sigal, Erez Dekel, Talia Yarnitzky, Yuvalal Liron, Paz Polak, Galit Lahav, and Uri Alon. 2006. Oscillations and variability in the P53 system. Molecular Systems Biology 2: 1–13.

    Article  Google Scholar 

  • Helin, Kristian. 1998. Regulation of cell proliferation by the E2F transcription factors. Current Opinion in Genetics & Development 8 (1): 28–35.

    Article  Google Scholar 

  • Hiebert, S.W., S.P. Chellappan, J.M. Horowitz, and J.R. Nevins. 1992. The interaction of RB with E2F coincides with an inhibition of the transcriptional activity of E2F. Genes & Development 6 (2): 177–185.

    Article  Google Scholar 

  • Ikeda, M.A., L. Jakoi, and J.R. Nevins. 1996. A unique role for the Rb protein in controlling E2F accumulation during cell growth and differentiation. Proceedings of the National Academy of Sciences 93 (8): 3215–3220.

    Article  ADS  Google Scholar 

  • Iliakis, George, Ya Wang, Jun Guan, and Huichen Wang. 2003. DNA damage checkpoint control in cells exposed to ionizing radiation. Oncogene 22 (37 REV. ISS. 3): 5834–5847.

    Google Scholar 

  • Iwamoto, Kazunari, Yoshihiko Tashima, Hiroyuki Hamada, Yukihiro Eguchi, and Masahiro Okamoto. 2008. Mathematical modeling and sensitivity analysis of G1/S phase in the cell cycle including the DNA-damage signal transduction pathway. Bio Systems 94 (1–2): 109–117.

    Article  Google Scholar 

  • Kubbutat, Michael H. G., Stephen N. Jones, and Karen H. Vousden. 1997. Regulation of P53 stability by Mdm2. Nature 387 (6630): 299–303.

    Article  ADS  Google Scholar 

  • Lahav, Galit, Nitzan Rosenfeld, Alex Sigal, Naama Geva-Zatorsky, Arnold J. Levine, Michael B. Elowitz, and Uri Alon. 2004. Dynamics of the P53-Mdm2 feedback loop in individual cells. Nature Genetics 36 (2): 147–150.

    Article  Google Scholar 

  • Leone, G., J. DeGregori, L. Jakoi, J.G. Cook, and J.R. Nevins. 1999. Collaborative role of E2F transcriptional activity and G1 cyclindependent kinase activity in the induction of S phase. Proceedings of the National Academy of Sciences 96 (12): 6626–6631.

    Article  ADS  Google Scholar 

  • Li, G., and V.C. Ho. 1998. P53-dependent DNA repair and apoptosis respond differently to high- and low-dose ultraviolet radiation. The British Journal of Dermatology 139 (1): 3–10.

    Article  Google Scholar 

  • Ling, H., D. Kulasiri, and S. Samarasinghe. 2010. Robustness of G1/S checkpoint pathways in cell cycle regulation based on probability of DNA-damaged cells passing as healthy cells. Bio Systems 101 (3): 213–221.

    Article  Google Scholar 

  • Ling, Hong. 2011. Investigation of robustness and dynamic behaviour of G1/S checkpoint/DNA-damage signal transduction pathway based on mathematical modelling and a novel neural network approach. Thesis. Lincoln University.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Kulasiri, D., Kosarwal, R. (2021). A Large Model Case Study: Solving CME for G1/S Checkpoint Involving the DNA-Damage Signal Transduction Pathway. In: Chemical Master Equation for Large Biological Networks. Springer, Singapore. https://doi.org/10.1007/978-981-16-5351-3_6

Download citation

  • DOI: https://doi.org/10.1007/978-981-16-5351-3_6

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-5350-6

  • Online ISBN: 978-981-16-5351-3

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

Publish with us

Policies and ethics