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Mathematical Modeling and Approximation of Gene Expression Patterns

In: Operations Research Proceedings 2004

Author

Listed:
  • F.B. Yīlmaz

    (Middle East Technical University)

  • H. Öktem

    (Middle East Technical University)

  • G.-W. Weber

    (Middle East Technical University)

Abstract

This study concerns modeling, approximation and inference of gene regulatory dynamics on the basis of gene expression patterns. The dynamical behavior of gene expressions is represented by a system of ordinary differential equations. We introduce a gene-interaction matrix with some nonlinear entries, in particular, quadratic polynomials of the expression levels to keep the system solvable. The model parameters are determined by using optimization. Then, we provide the time-discrete approximation of our time-continuous model. Finally, from the considered models we derive gene regulatory networks, discuss their qualitative features and provide a basis for analyzing networks with nonlinear connections.

Suggested Citation

  • F.B. Yīlmaz & H. Öktem & G.-W. Weber, 2005. "Mathematical Modeling and Approximation of Gene Expression Patterns," Operations Research Proceedings, in: Hein Fleuren & Dick Hertog & Peter Kort (ed.), Operations Research Proceedings 2004, pages 280-287, Springer.
    • Handle: RePEc:spr:oprchp:978-3-540-27679-1_35
    DOI: 10.1007/3-540-27679-3_35
    as

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