Modeling gene regulatory networks with piecewise linear differential equations

Date

2007-09-16

Author

Gebert, J.
Radde, N.
Weber, Gerhard Wilhelm

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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Microarray chips generate large amounts of data about a cell's state. In our work we want to analyze these data in order to describe the regulation processes within a cell. Therefore, we build a model which is capable of capturing the most relevant regulating interactions and present an approach how to calculate the parameters for the model from time-series data. This approach uses the discrete approximation method of least squares to solve a data fitting modeling problem. Furthermore, we analyze the features of our proposed system, i.e., which kinds of dynamical behaviors the system is able to show.

Subject Keywords

Management Science and Operations Research, Modelling and Simulation, Information Systems and Management

URI

https://hdl.handle.net/11511/56789

Journal

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH

DOI

https://doi.org/10.1016/j.ejor.2005.11.044

Collections

Graduate School of Applied Mathematics, Article

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Citation Formats

J. Gebert, N. Radde, and G. W. Weber, “Modeling gene regulatory networks with piecewise linear differential equations,” EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, pp. 1148–1165, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/56789.