Abstract
It is a known fact that protein structure prediction is a challenging problem of computational biology. In the past, several attempts of application of metaheuristic approaches have been witnessed in this area. Deriving motivation from the literature, this chapter is the application proposal of chaotic variants of Grasshopper Optimization Algorithm (GOA) for solving protein folding optimization problem, which is applied to AB-OFF lattice model. The variants incorporate ten different chaotic maps in bridging mechanism of GOA between exploratory and exploitative states. These variants are named as Enhanced Chaotic Grasshopper Optimization Algorithms (ECGOAs). The variants are tested over artificial protein sequences and some real protein sequences for obtaining native protein structure. The performance measures of the variants are the mean, standard deviation, and best values of free energy values obtained from independent runs of optimization process. Further, different statistical tests, including Wilcoxon Rank-Sum test and trajectory analysis are conducted to exhibit the efficacy of the proposed variants. It is observed that proposed variants show better performance and proposed chaotic bridging mechanism enhances the performance of the algorithm.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Anfinsen, C. B. (1973). Principles that govern the folding of protein chain. Science, 181(4096), 223230.
Stillinger, F. H., Head-Gordon, T., & Hirshfel, C. L. (1993). Toy model for protein folding. Physical Review, 48(2), 14691477.
Zhou, C., Sun, C., Wang, B., & Wang, X. (2018). An improved stochastic fractal search algorithm for 3D protein structure prediction. Journal of Molecular Modeling, 24(6), 125.
Bokovi, B., & Brest, J. (2018). Protein folding optimization using differential evolution extended with local search and component reinitialization. Information Sciences, 454, 178–199.
Jana, N. D., Das, S., & Sil, J. (2018). Landscape characterization and algorithms selection for the PSP Problem. In: A metaheuristic approach to protein structure prediction (pp. 87–150). Cham: Springer.
Jana, N. D., Sil, J., & Das, S. (2017, February). An improved harmony search algorithm for protein structure prediction using 3D off-lattice model. In International Conference on Harmony Search Algorithm (pp. 304–314). Singapore: Springer.
Li, B., Lin, M., Liu, Q., Li, Y., & Zhou, C. (2015). Protein folding optimization based on 3D off-lattice model via an improved artificial bee colony algorithm. Journal of Molecular Modeling, 21(10), 261.
Dash, T., & Sahu, P. K. (2015). Gradient gravitational search: An efficient metaheuristic algorithm for global optimization. Journal of Computational Chemistry, 36(14), 1060–1068.
Dogan, B., & Imez, T., (2015). Modified off-lattice AB model for protein folding problem using the vortex search algorithm. International Journal of Machine Learning and Computing, 5(4), 329.
Li, B., Li, Y., & Gong, L. (2014). Protein secondary structure optimization using an improved artificial bee colony algorithm based on AB off-lattice model. Engineering Applications of Artificial Intelligence, 27, 70–79.
Kalegari, D. H., & Lopes, H. S. (2013, April). An improved parallel differential evolution approach for protein structure prediction using both 2D and 3D off-lattice models. In: 2013 IEEE Symposium on Differential Evolution (SDE) (pp. 143–150). IEEE.
Chen, X., et al. (2011). An improved particle swarm optimization for protein folding prediction. International Journal of Information Engineering and Electronic Business, 3(1), 1.
Kalegari, D. H., & Lopes, H. S. (2010). A differential evolution approach for protein structure optimisation using a 2D off-lattice model. International Journal of Bio-Inspired Computation, 2(3–4), 242–250.
Zhang, X., Lin, X., Wan, C., & Li, T. (2007, May). Genetic-annealing algorithm for 3D off-lattice protein folding model. In Pacific-Asia Conference on Knowledge Discovery and Data Mining (pp. 186–193). Berlin, Heidelberg: Springer.
Shmygelska, A., & Hoos, H. H., (2005). An ant colony optimisation algorithm for the 2D and 3D hydrophobic polar protein folding problem. BMC Bioinformatics, 6(1), 30.
Wang, T., & Zhang, X. (2009, November). 3D Protein structure prediction with genetic tabu search algorithm in off-lattice AB model. In Second International Symposium on Knowledge Acquisition and Modeling, 2009. KAM’09 (Vol. 1, pp. 43–46). IEEE.
Zhou, C., Hou, C., Zhang, Q., & Wei, X. (2013). Enhanced hybrid search algorithm for protein structure prediction using the 3D-HP lattice model. Journal of Molecular Modeling, 19(9), 3883–3891.
Saremi, S., Mirjalili, S., & Lewis, A. (2017). Grasshopper optimisation algorithm: Theory and application. Advances in Engineering Software, 105, 30–47.
Saxena, A., Shekhawat, S., & Kumar, R. (2018). Application and development of enhanced chaotic grasshopper optimization algorithms. Modelling and Simulation in Engineering.
Mirjalili, S., & Gandomi, A. H. (2017). Chaotic gravitational constants for the gravitational search algorithm. Applied Soft Computing, 53, 407–419.
Aljarah, I., AlaM, A. Z., Faris, H., Hassonah, M. A., Mirjalili, S., & Saadeh, H. (2018). Simultaneous feature selection and support vector machine optimization using the grasshopper optimization algorithm. Cognitive Computation, 1–18.
Wu, J., Wang, H., Li, N., Yao, P., Huang, Y., Su, Z., et al. (2017). Distributed trajectory optimization for multiple solar-powered UAVs target tracking in urban environment by adaptive grasshopper optimization algorithm. Aerospace Science and Technology, 70, 497–510.
Luo, J., Chen, H., Xu, Y., Huang, H., & Zhao, X. (2018). An improved grasshopper optimization algorithm with application to financial stress prediction. Applied Mathematical Modelling, 64, 654–668.
El-Fergany, A. A. (2017). Electrical characterisation of proton exchange membrane fuel cells stack using grasshopper optimiser. IET Renewable Power Generation, 12(1), 9–17.
Liu, J., Wang, A., Qu, Y., & Wang, W. (2018). Coordinated operation of multi-integrated energy system based on linear weighted sum and grasshopper optimization algorithm. IEEE Access, 6, 42186–42195.
Lukasik, S., Kowalski, P. A., Charytanowicz, M., & Kulczycki, P. (2017, September). Data clustering with grasshopper optimization algorithm. In 2017 Federated Conference on Computer Science and Information Systems (FedCSIS) (pp. 71–74). IEEE.
Saxena, A., Kumar, R., & Das, S. (2019). \(\beta \)-chaotic map enabled grey wolf optimizer. Applied Soft Computing, 75, 84–105. https://doi.org/10.1016/j.asoc.2018.10.044
Saxena, A., Soni, B. P., Kumar, R., & Gupta, V. (2018). Intelligent grey wolf optimizer development and application for strategic bidding in uniform price spot energy market. Applied Soft Computing, 69, 1–13.
Satapathy, S. C., Raja, N. S. M., Rajinikanth, V., Ashour, A. S., & Dey, N. (2016). Multi-level image thresholding using Otsu and chaotic bat algorithm. Neural Computing and Applications, 1–23.
Binh, H. T. T., Hanh, N. T., & Dey, N. (2018). Improved cuckoo search and chaotic flower pollination optimization algorithm for maximizing area coverage in wireless sensor networks. Neural Computing and Applications, 30(7), 2305–2317.
Scherf, T., Balass, M., Fuchs, S., Katchalski-Katzir, E., & Anglister, J. (1997). Three-dimensional solution structure of the complex of \(\alpha \)-bungarotoxin with a library-derived peptide. Proceedings of the National Academy of Sciences, 94(12), 6059–6064.
Demarest, S. J., Hua, Y., & Raleigh, D. P. (1999). Local interactions drive the formation of nonnative structure in the denatured state of human-lactalbumin: A high resolution structural characterization of a peptide model in aqueous solution. Biochemistry, 38(22), 7380–7387.
Wilcoxon, F. (1945). Individual comparisons by ranking methods. Biometrics Bulletin, 1(6), 80–83.
Acknowledgements
The authors acknowledge the support and encouragement provided by the authorities of the Malaviya National Institute of Technology, Jaipur, and Swami Keshvanand Institute of Technology, Jaipur.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Saxena, A., Kumar, R. (2020). Chaotic Variants of Grasshopper Optimization Algorithm and Their Application to Protein Structure Prediction. In: Dey, N., Ashour, A., Bhattacharyya, S. (eds) Applied Nature-Inspired Computing: Algorithms and Case Studies. Springer Tracts in Nature-Inspired Computing. Springer, Singapore. https://doi.org/10.1007/978-981-13-9263-4_7
Download citation
DOI: https://doi.org/10.1007/978-981-13-9263-4_7
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-9262-7
Online ISBN: 978-981-13-9263-4
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)