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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
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.
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.
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.
Dyson, Nicholas. 1998. The regulation of E2F by PRB-family proteins. - PubMed - NCBI. (617) :2245–2262.
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.
Helin, Kristian. 1998. Regulation of cell proliferation by the E2F transcription factors. Current Opinion in Genetics & Development 8 (1): 28–35.
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.
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.
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.
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.
Kubbutat, Michael H. G., Stephen N. Jones, and Karen H. Vousden. 1997. Regulation of P53 stability by Mdm2. Nature 387 (6630): 299–303.
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.
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.
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.
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.
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.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this chapter
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)