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Article information
2004 , Volume 9, ¹ 6, p.40-48
Ergenc T., Weber G.W.
Modeling and prediction of gene-expression patterns reconsidered with Runge-Kutta discretization
Many problems in computational genetics and bioinformatics consist in modeling and prediction of gene-expression patterns. Established on a finite time-series of experiments or samples and using least squares approximation, we obtain a nonlinear system of ordinary differential equations which represents the time-continuous dynamics of the genetical process, before we turn it to a time-discrete system. In this paper, we partially sophisticate pioneering work by using Runge-Kutta instead of Euler discretization, especially, Trapezoidal rule. Herewith, we prepare a modification for the Euler discretization based time-discrete dynamics and stability analysis such that it becomes more appropriate for the underlying genetical or medical process.
[full text] Classificator Msc2000:- *65L06 Multistep, Runge-Kutta and extrapolation methods
- 92D10 Genetics
Keywords: genome, transcriptome, nucleotides, trapezoidal rule
Author(s):
Ergenc T.
Address: Germany, Berlin
Weber GerhardW.
Office: Institute of Applied Mathematics, METU
Address: 64289, Turkey, Ankara
E-mail: gweber@metu.edu.tr
Bibliography link:
Ergenc T., Weber G.W. Modeling and prediction of gene-expression patterns reconsidered with Runge-Kutta discretization // Computational technologies. 2004. V. 9. ¹ 6. P. 40-48
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