Multiobjectivizing the HP Model for Protein Structure Prediction

The hydrophobic-polar (HP) model for protein structure prediction abstracts the fact that hydrophobic interactions are a dominant force in the protein folding process. This model represents a hard combinatorial optimization problem, which has been widely addressed using evolutionary algorithms and other metaheuristics. In this paper, the multiobjectivization of the HP model is proposed. This originally single-objective problem is restated as a multiobjective one by decomposing the conventional objective function into two independent objectives. By using different evolutionary algorithms and a large set of test cases, the new alternative formulation was compared against the conventional single-objective problem formulation. As a result, the proposed formulation increased the search performance of the implemented algorithms in most of the cases. Both two- and three-dimensional lattices are considered. To the best of authors' knowledge, this is the first study where multiobjective optimization methods are used for solving the HP model.

[1]  David Becerra,et al.  A parallel multi-objective ab initio approach for protein structure prediction , 2010, 2010 IEEE International Conference on Bioinformatics and Biomedicine (BIBM).

[2]  Rolf Drechsler,et al.  Applications of Evolutionary Computing, EvoWorkshops 2008: EvoCOMNET, EvoFIN, EvoHOT, EvoIASP, EvoMUSART, EvoNUM, EvoSTOC, and EvoTransLog, Naples, Italy, March 26-28, 2008. Proceedings , 2008, EvoWorkshops.

[3]  Mihalis Yannakakis,et al.  On the Complexity of Protein Folding , 1998, J. Comput. Biol..

[4]  Kalyanmoy Deb,et al.  A Fast Elitist Non-dominated Sorting Genetic Algorithm for Multi-objective Optimisation: NSGA-II , 2000, PPSN.

[5]  Kalyanmoy Deb,et al.  Multiobjective Problem Solving from Nature: From Concepts to Applications , 2008, Natural Computing Series.

[6]  Simon M. Lucas,et al.  Parallel Problem Solving from Nature - PPSN X, 10th International Conference Dortmund, Germany, September 13-17, 2008, Proceedings , 2008, PPSN.

[7]  Eduardo Segredo,et al.  Multiobjectivisation of the Antenna Positioning Problem , 2011, DCAI.

[8]  Xinchao Zhao,et al.  Advances on protein folding simulations based on the lattice HP models with natural computing , 2008, Appl. Soft Comput..

[9]  Holger H. Hoos,et al.  An ant colony optimisation algorithm for the 2D and 3D hydrophobic polar protein folding problem , 2005, BMC Bioinformatics.

[10]  M. Manzur Murshed,et al.  Novel local improvement techniques in clustered memetic algorithm for protein structure prediction , 2011, 2011 IEEE Congress of Evolutionary Computation (CEC).

[11]  Mihalis Yannakakis,et al.  On the complexity of protein folding (extended abstract) , 1998, STOC '98.

[12]  V. Cutello,et al.  A multi-objective evolutionary approach to the protein structure prediction problem , 2006, Journal of The Royal Society Interface.

[13]  José Manuel Ferrández,et al.  Foundations on Natural and Artificial Computation , 2011, Lecture Notes in Computer Science.

[14]  Frank Thomson Leighton,et al.  Protein folding in the hydrophobic-hydrophilic (HP) is NP-complete , 1998, RECOMB '98.

[15]  Alexandre C. B. Delbem,et al.  Investigating relevant aspects of MOEAs for protein structures prediction , 2011, GECCO.

[16]  Pedro Larrañaga,et al.  Protein Folding in Simplified Models With Estimation of Distribution Algorithms , 2008, IEEE Transactions on Evolutionary Computation.

[17]  Gary B. Lamont,et al.  Solving the Protein Structure Prediction Problem Through a Multiobjective Genetic Algorithm , 2002 .

[18]  C. Anfinsen Principles that govern the folding of protein chains. , 1973, Science.

[19]  Vincenzo Cutello,et al.  An Immune Algorithm for Protein Structure Prediction on Lattice Models , 2007, IEEE Transactions on Evolutionary Computation.

[20]  Gregorio Toscano Pulido,et al.  Optimal Triangulation in 3D Computer Vision Using a Multi-objective Evolutionary Algorithm , 2007, EvoWorkshops.

[21]  Heitor Silvério Lopes Evolutionary Algorithms for the Protein Folding Problem: A Review and Current Trends , 2008, Computational Intelligence in Biomedicine and Bioinformatics.

[22]  Eduardo Segredo,et al.  A multiobjectivised memetic algorithm for the Frequency Assignment Problem , 2011, 2011 IEEE Congress of Evolutionary Computation (CEC).

[23]  Ron Unger The Genetic Algorithm Approach to Protein Structure Prediction , 2004 .

[24]  Henri Luchian,et al.  Protein Structure Prediction in Lattice Models with Particle Swarm Optimization , 2010, ANTS Conference.

[25]  Aboul Ella Hassanien,et al.  Computational Intelligence in Biomedicine and Bioinformatics, Current Trends and Applications , 2008, Computational Intelligence in Biomedicine and Bioinformatics.

[26]  J. Santos,et al.  Differential Evolution for Protein Structure Prediction Using the HP Model , 2011, IWINAC.

[27]  Julian F. Miller,et al.  Genetic and Evolutionary Computation — GECCO 2003 , 2003, Lecture Notes in Computer Science.

[28]  Frank W. Ciarallo,et al.  Helper-objective optimization strategies for the Job-Shop Scheduling Problem , 2011, Appl. Soft Comput..

[29]  Joshua D. Knowles,et al.  Multiobjectivization by Decomposition of Scalar Cost Functions , 2008, PPSN.

[30]  K. Dill Theory for the folding and stability of globular proteins. , 1985, Biochemistry.

[31]  Eduardo Segredo,et al.  Parallel island-based multiobjectivised memetic algorithms for a 2D packing problem , 2011, GECCO '11.

[32]  Joshua D. Knowles,et al.  Investigations into the Effect of Multiobjectivization in Protein Structure Prediction , 2008, PPSN.

[33]  Xiaodong Li,et al.  Evolutionary algorithms and multi-objectivization for the travelling salesman problem , 2009, GECCO.

[34]  Ingo Wegener,et al.  Can Single-Objective Optimization Profit from Multiobjective Optimization? , 2008, Multiobjective Problem Solving from Nature.

[35]  Frank Neumann,et al.  Do additional objectives make a problem harder? , 2007, GECCO '07.

[36]  Mikkel T. Jensen,et al.  Helper-objectives: Using multi-objective evolutionary algorithms for single-objective optimisation , 2004, J. Math. Model. Algorithms.

[37]  Frank Thomson Leighton,et al.  Protein folding in the hydrophobic-hydrophilic (HP) is NP-complete , 1998, RECOMB '98.

[38]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[39]  Camelia Chira,et al.  A hybrid evolutionary approach to protein structure prediction with lattice models , 2011, 2011 IEEE Congress of Evolutionary Computation (CEC).

[40]  Andrew Lewis,et al.  Twin Removal in Genetic Algorithms for Protein Structure Prediction Using Low-Resolution Model , 2011, IEEE/ACM Transactions on Computational Biology and Bioinformatics.

[41]  Luis Martínez-López,et al.  COMAS: A Multi-agent System for Performing Consensus Processes , 2011, DCAI.

[42]  Richard A. Watson,et al.  Reducing Local Optima in Single-Objective Problems by Multi-objectivization , 2001, EMO.

[43]  Gregorio Toscano Pulido,et al.  Comparing alternative energy functions for the HP model of protein structure prediction , 2011, 2011 IEEE Congress of Evolutionary Computation (CEC).

[44]  Xin Yao,et al.  Parallel Problem Solving from Nature PPSN VI , 2000, Lecture Notes in Computer Science.