Algorithm for Identification of Piecewise Smooth Hybrid Systems: Application to Eukaryotic Cell Cycle Regulation
We discuss piecewise smooth hybrid systems as models for regulatory networks in molecular biology. These systems involve both continuous and discrete variables. The discrete variables allow to switch on and off some of the molecular interactions in the model of the biological system. Piecewise smooth hybrid models are well adapted to approximate the dynamics of multiscale dissipative systems that occur in molecular biology. We show how to produce such models by a top down approach that use biological knowledge for a guided choice of important variables and interactions. Then we propose an algorithm for fitting parameters of the piecewise smooth models from data. We illustrate some of the possibilities of this approach by proposing hybrid versions of eukaryotic cell cycle regulation.
Keywordssystems biology hybrid models cell cycle
Unable to display preview. Download preview PDF.
- [DMT10]Dang, T., Maler, O., Testylier, R.: Accurate hybridization of nonlinear systems. In: Proceedings of the 13th ACM International Conference on Hybrid systems: Computation and Control, pp. 11–20. ACM, New York (2010)Google Scholar
- [GR08]Gorban, A.N., Radulescu, O.: Dynamic and static limitation in reaction networks, revisited. In: West, D., Marin, G.B., Yablonsky, G.S. (eds.) Advances in Chemical Engineering - Mathematics in Chemical Kinetics and Engineering. Advances in Chemical Engineering, vol. 34, pp. 103–173. Elsevier, Amsterdam (2008)CrossRefGoogle Scholar