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Updated: Nov 25, 2025

Yeast As a Chassis for Developing Functional Assays to Study Human P53
Published on: August 4, 2019
Piece-wise linear models of biological systems-Application, analysis, and comparison with nonlinear models using the
Magdalena Ochab1, Krzysztof Puszynski1
1Department of Systems Biology and Engineering, Silesian University of Technology, Gliwice, Poland.
Abstract:
In this paper, we propose to use a linear system with switching methodology for description and analysis of complex biological systems. We show advantages of the proposed approach over the one usually used, which is based on ODE. We propose the detailed methodology of a full analysis of developed models, including analytical determination of the location and type of equilibrium points, finding an analytical solution, stability and bifurcation analysis. We illustrate the above with the example of the well-known p53 signalling pathway comparing the results with the results of a nonlinear, ODE-based version of the proposed model. The complex methodology proposed by us, especially due to the definition of model structure, which is easy to understand for biologists and medics, may be a bridge for closer cooperation between them and engineers in the future.
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