Abstract
Hybrid algorithms that combine genetic algorithms with the Nelder-Mead simplex algorithm have been effective in solving certain optimization problems. In this article, we apply a similar technique to estimate the parameters of a gene regulatory network for flowering time control in rice. The algorithm minimizes the difference between the model behavior and real world data. Because of the nature of the data, a multi-objective approach is necessary. The concept of fuzzy dominance is introduced, and a multi-objective simplex algorithm based on this concept is proposed as a part of the hybrid approach. Results suggest that the proposed method performs well in estimating the model parameters.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Cooper, M., Chapman, S.C., Podlich, D.W., Hammer, G.L.: Silico Biol., vol. 2, pp. 151–164 (2002)
Sinclar, T.R., Seligman, N.G.: Crop modelling: From infancy to maturity. Agron. J. 88, 698–704 (1966)
Hammer, G., Sinclair, T., Chapman, S., van Oostererom, E.: On systems thinking, systems biology and the in silico plant. Plant Physiology. Scientific Correspondence (2004) (in press)
Welch, S.M., Roe, J.L., Dong, Z.: A genetic neural network model of flowering time control in Arabidopsis thaliana. Agron. J. 95, 71–81 (2003)
Welch, S.M., Dong, Z., Roe, J.L.: Modelling gene networks controlling transition to flowering in Arabidopsis. In: Proceedings of the 4th International Crop Science Congress, Brisbane, Au. September 26 - October 1 (2004) (under review)
Dong, Z.: Incorporation of genomic information into the simulation of flowering time in Arabidopsis thaliana. Ph.D. dissertation, Kansas State University (2003)
Welch, S.M., Roe, J.L., Das, S., Dong, Z., R. He, M.B. Kirkham.: Merging genomic control networks with soil-plant-atmosphere-continuum (SPAC) models. Agricultural Systems (2004b) (submitted)
Ravasz, E., Somera, A., Mongru, D., Oltvai, Z., Barabaśi, A.L.: Hierarchical organization of modularity in metabolic networks. Science 297, 1551–1555 (2002)
Goldberg, D.E.: Genetic Algorithms in Search, Optimization, and Machine Learning. Addison Wesley, Reading (1989)
Fonseca, C.M., Fleming, P.J.: An overview of evolutionary algorithms in multiobjective optimization. Evolutionary Computation 3(1), 1–16 (Spring 1995)
Coello Coello, C.A.: A comprehensive survey of evolutionary-based multiobjective optimization techniques. Knowledge and Information Systems 1(3), 269–308 (1999)
Van Veldhuizen, D.A., Lamont, G.B.: Multiobjective evolutionary algorithms: Analyzing the state-of-the-art. Evolutionary Computation 8(2), 125–147 (2000)
Jaszkiewicz, A.: Do multiple-objective metaheuristics deliver on their promises? A computational experiment on the set-covering problem. IEEE Transactions on Evolutionary Computation 7(2), 133–143 (2003)
Haiming, L., Yen, G.G.: Rank-density-based multiobjective genetic algorithm and benchmark test function study. IEEE Transactions on Evolutionary Computation 7(4) (August 2003)
Knowles, J., Corne, D.: Properties of an adaptive archiving algorithm for storing nondominated vectors. IEEE Transactions on Evolutionary Computation 7(2), 100–116 (2003)
Zitzler, E., Thiele, L., Laumanns, M., Fonseca, C.M., da Fonseca, V.G.: Performance assessment of multiobjective optimizers: An analysis and review. IEEE Transactions on Evolutionary Computation 7(2), 117–132 (2003)
Nelder, J.A., Mead, R.: A simplex method for function minimization. Computer Journal 7(4), 308–313 (1965)
Mendel, J.M.: Fuzzy logic systems for engineering: A tutorial. Proceedings of the IEEE 83(3), 345–377 (1995)
Renders, J.M., Flasse, S.P.: Hybrid methods using genetic algorithms for global optimization. IEEE Transactions on Systems, Man and Cybernetics Part-B 28(2), 73–91 (1998)
Yen, J., Liao, J.C., Lee, B., Randolph, D.: A hybrid approach to modeling metabolic systems using a genetic algorithm and simplex method. IEEE Transactions on Systems, Man and Cybernetics Part-B 7(1), 243–258 (2003)
Bersini, H.: The immune and chemical crossovers. IEEE Transactions on Evolutionary Computation 6(3), 306–313 (2002)
Simulation and evolutionary optimization of electron-beam lithography with genetic and simplex-downhill algorithms. IEEE Transactions on Evolutionary Computation 7(1), 69–82 (February 2003)
Zitzler, E., Thiele, L.: Multiobjective Evolutionary Algorithms: A comparative case study and the strength Pareto approach. IEEE Transactions on Evolutionary Computation 3(4), 257–271 (1999)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Koduru, P., Das, S., Welch, S., Roe, J.L. (2004). Fuzzy Dominance Based Multi-objective GA-Simplex Hybrid Algorithms Applied to Gene Network Models. In: Deb, K. (eds) Genetic and Evolutionary Computation – GECCO 2004. GECCO 2004. Lecture Notes in Computer Science, vol 3102. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24854-5_37
Download citation
DOI: https://doi.org/10.1007/978-3-540-24854-5_37
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22344-3
Online ISBN: 978-3-540-24854-5
eBook Packages: Springer Book Archive