Robustness Analysis of Biological Models
Living reference work entry
First Online:
Received:
Accepted:
DOI: https://doi.org/10.1007/978-1-4471-5102-9_93-1
Abstract
Robustness analysis is the process of checking whether a system’s function is maintained despite perturbations. Robustness analysis of biological models is typically applied to differential equation models of biochemical reaction networks. While robustness is primarily a yes-or-no question, for many applications in biological models, it is also desired to compute a quantitative robustness measure. Such a measure is usually defined to be the maximum size of perturbations that the system can still tolerate. In addition, it is often of interest to specifically compute fragile perturbations, i.e., perturbations for which the system loses its function.
Keywords
Robustness measure Parametric uncertainty Structural uncertainty Fragile perturbations Biochemical reaction networksThis is a preview of subscription content, log in to check access.
Bibliography
- Bates D, Cosentino C (2011) Validation and invalidation of systems biology models using robustness analysis. IET Syst Biol 5(4):229–244CrossRefGoogle Scholar
- Breindl C, Waldherr S, Wittmann DM, Theis FJ, Allgöwer F (2011) Steady-state robustness of qualitative gene regulation networks. Int J Robust Nonlinear Control 21(15):1742–1758. doi:10.1002/rnc.1786, http://dx.doi.org/10.1002/rnc.1786
- Chaves M, Sontag ED, Albert R (2006) Methods of robustness analysis for Boolean models of gene control networks. IEE Proc Syst Biol 153(4):154–167. doi:10.1049/ip-syb:20050079, http://dx.doi.org/10.1049/ip-syb:20050079
- Doyle FJ, Stelling J (2005) Robust performance in biophysical networks. In: Proceedings of the 16th IFAC World Congress, PragueGoogle Scholar
- Eissing T, Allgöwer F, Bullinger E (2005) Robustness properties of apoptosis models with respect to parameter variations and intrinsic noise. IEE Proc Syst Biol 152(4):221–228. doi:10.1049/ip-syb:20050046CrossRefGoogle Scholar
- Jacobsen EW, Cedersund G (2008) Structural robustness of biochemical network models—with application to the oscillatory metabolism of activated neutrophils. IET Syst Biol 2(1):39–47. http://link.aip.org/link/?SYB/2/39/1
- Kitano H (2007) Towards a theory of biological robustness. Mol Syst Biol 3:137. doi:10.1038/msb4100179, http://dx.doi.org/10.1038/msb4100179
- Ma L, Iglesias PA (2002) Quantifying robustness of biochemical network models. BMC Bioinform 3:38CrossRefGoogle Scholar
- Morohashi M, Winn AE, Borisuk MT, Bolouri H, Doyle J, Kitano H (2002) Robustness as a measure of plausibility in models of biochemical networks. J Theor Biol 216(1):19–30. doi:10.1006/jtbi.2002.2537, http://dx.doi.org/10.1006/jtbi.2002.2537
- Shinar G, Feinberg M (2010) Structural sources of robustness in biochemical reaction networks. Science 327(5971):1389–1391. doi:10.1126/science.1183372, http://dx.doi.org/10.1126/science.1183372
- Stelling J, Gilles ED, Doyle III FJ (2004) Robustness properties of circadian clock architectures. Proc Natl Acad Sci 101(36):13210–13215. doi:10.1073/pnas.0401463101, http://dx.doi.org/10.1073/pnas.0401463101
- Steuer R, Waldherr S, Sourjik V, Kollmann M (2011) Robust signal processing in living cells. PLoS Comput Biol 7(11):e1002218. http://dx.doi.org/10.1371%2Fjournal.pcbi.1002218
- Waldherr S, Allgöwer F (2011) Robust stability and instability of biochemical networks with parametric uncertainty. Automatica 47:1139–1146. doi:10.1016/j.automatica.2011.01.012, http://dx.doi.org/10.1016/j.automatica.2011.01.012
- Waldherr S, Allgöwer F, Jacobsen EW (2009) Kinetic perturbations as robustness analysis tool for biochemical reaction networks. In: Proceedings of the 48th IEEE Conference on Decision and Control, Shanghai, pp 4572–4577. doi:10.1109/CDC.2009.5400939, http://dx.doi.org/10.1109/CDC.2009.5400939
Copyright information
© Springer-Verlag London 2014