Multi-objective optimisation using evolutionary algorithms: its application to HPLC separations

Abstract Multi-objective optimisation using evolutionary algorithms (EAs) has been applied for the first time in analytical chemistry and, in particular, in the field of chromatography to develop automated optimisation of gradient separations in reversed phase high-performance liquid chromatography (HPLC). This new approach allows an easy and direct definition of chromatographer goals in the optimisation process and provides not with a single biased optimum solution but with a well-populated Pareto front of nondominated solutions. Thus automated optimisation of chromatography no longer needs the use of chromatographic response functions (CRFs) which were the basis for chromatographic quality evaluation during the last decades. Main steps and new tools in the optimisation process are presented, including new modes of initialisation for the evolutionary algorithm. The separation of 11 pharmaceutical residues of environmental concern has been used as a case study data set to show the practical advantages and working procedures in this new approach.

[1]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[2]  Andrzej Osyczka,et al.  Evolutionary Algorithms for Single and Multicriteria Design Optimization , 2001 .

[3]  L. Snyder,et al.  Column selectivity in reversed-phase liquid chromatography III. The physico-chemical basis of selectivity. , 2002, Journal of chromatography. A.

[4]  Marta Lores,et al.  PREOPT-W: A Simulation Program for Off-line Optimization of Binary Gradient Separations in HPLC-I. Fundamentals and Overview , 1996, Comput. Chem..

[5]  B. Erickson Analyzing the ignored environmental contaminants. , 2002, Environmental science & technology.

[6]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[7]  Yizeng Liang,et al.  Uniform design and its applications in chemistry and chemical engineering , 2001 .

[8]  E. Thurman,et al.  Pharmaceuticals, hormones, and other organic wastewater contaminants in U.S. streams, 1999-2000: a national reconnaissance. , 2002 .

[9]  Lance D. Chambers Practical handbook of genetic algorithms , 1995 .

[10]  Kalyanmoy Deb,et al.  Multi-objective optimization using evolutionary algorithms , 2001, Wiley-Interscience series in systems and optimization.

[11]  Zbigniew Michalewicz,et al.  Genetic Algorithms + Data Structures = Evolution Programs , 1996, Springer Berlin Heidelberg.

[12]  R. Cela,et al.  PREOPT-W: Off-line Optimization of Binary Gradient Separations in HPLC By Simulation - IV. Phase 3 , 1996, Comput. Chem..

[13]  Lawrence. Davis,et al.  Handbook Of Genetic Algorithms , 1990 .

[14]  L. Snyder,et al.  Column selectivity in reversed-phase liquid chromatography I. A general quantitative relationship. , 2002, Journal of chromatography. A.

[15]  Lloyd R. Snyder,et al.  Practical HPLC method development , 1988 .

[16]  R. Cela,et al.  The preopt package for pre-optimization of gradient elutions in high-performance liquid chromatography , 1986 .

[17]  M. Hearn,et al.  Intelligent automation of high-performance liquid chromatography method development by means of a real-time knowledge-based approach. , 2002, Journal of chromatography. A.

[18]  Thomas Bäck,et al.  Evolutionary Algorithms in Theory and Practice , 1996 .

[19]  Kenneth Alan De Jong,et al.  An analysis of the behavior of a class of genetic adaptive systems. , 1975 .

[20]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[21]  Jürgen Branke,et al.  Evolutionary Optimization in Dynamic Environments , 2001, Genetic Algorithms and Evolutionary Computation.

[22]  O. Cabaleiro,et al.  PREOPT-W: Off-line Optimization of Binary Gradient Separations in HPLC By Simulation - III. Phase 2and the Objective Functions , 1996, Comput. Chem..

[23]  T. Ternes,et al.  Pharmaceuticals and personal care products in the environment: agents of subtle change? , 1999, Environmental health perspectives.

[24]  T. Ternes Occurrence of drugs in German sewage treatment plants and rivers 1 Dedicated to Professor Dr. Klaus , 1998 .

[25]  Gary B. Lamont,et al.  Evolutionary Algorithms for Solving Multi-Objective Problems , 2002, Genetic Algorithms and Evolutionary Computation.

[26]  M. Servos,et al.  Behavior and occurrence of estrogens in municipal sewage treatment plants--I. Investigations in Germany, Canada and Brazil. , 1999, The Science of the total environment.

[27]  Marta Lores,et al.  PREOPT-W: A Simulation Program for Off-line Optimization of Binary Gradient Separations in HPLC-II. Data Management and Miscellaneous Aspects of Use , 1996, Comput. Chem..

[28]  L. Snyder,et al.  Computer-assisted method development for high performance liquid chromatography: Elsevier, Amsterdam, 1990 (ISBN 0-444-88748-2). xxiv + 682 pp. Price Dfl. 175.00/US $ 79.75 , 1991 .

[29]  Wing-Hong Chan,et al.  Optimization of fabrication conditions of high-efficiency ultrafiltration membranes using methods of uniform design and regression analysis , 2000 .

[30]  S. V. Galushko,et al.  Calculation of retention in reversed-phase liquid chromatography: IV. ChromDream software for the selection of initial conditions and for simulating chromatographic behaviour , 1994 .

[31]  L. Snyder,et al.  Column selectivity in reversed-phase liquid chromatography II. Effect of a change in conditions. , 2002, Journal of chromatography. A.

[32]  John C. Berridge,et al.  Techniques for the automated optimization of HPLC separations , 1985 .

[33]  R. Cela,et al.  Objective functions in experimental and simulated chromatographic optimization , 1989 .