F. Xavier Malcata

Mathematics for Enzyme Reaction Kinetics and Reactor Performance


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the European Union – in such key areas as food quality and safety, and food, agriculture (including fisheries), and biotechnology, respectively; Chief Executive Officer of the University/Industry Extension (nonprofit) Associations AESBUC in 1998–2008 and INTERVIR+ in 2006–2008; and Chief Executive Officer of the Entrepreneurial Biotechnological Support Associations CiDEB in 2005–2008 and INOVAR&CRESCER in 2006–2008.

      Over the years, the author has received several national and international public recognitions and awards, including: Cristiano P. Spratley Award by UP, in 1985; Centennial Award by UP, in 1986; election for membership in Phi Tau Sigma – honor society of food science (USA), in 1990; election for Sigma Xi – honor society of scientific and engineering research (USA), in 1990; election for Tau Beta Pi – honor society of engineering (USA), in 1991; Ralph H. Potts Memorial Award by American Oil Chemists’ Society (AOCS, USA), in 1991; election for New York Academy of Sciences (USA), in 1992; Foundation Scholar Award – dairy foods division by American Dairy Science Associaton (ADSA, USA), in 1998; decoration as Chevalier dans l’Ordre des Palmes Académiques by French Government, in 1999; Young Scientist Research Award by AOCS, in 2001; Canadian/International Constituency Investigator Award in Physical Sciences and Engineering by Sigma Xi, in 2002 and 2004; Excellence Promotion Award by Portuguese Foundation for Science and Technology (Portugal), in 2005; Danisco International Dairy Science Award by ADSA, in 2007; Edgar Cardoso Innovation Award by the Mayor of Gaia, in 2007; Scientist of the Year Award by European Federation of Food Science and Technology (Netherlands), in 2007; Samuel C. Prescott Award by Institute of Food Technologists (IFT, USA), in 2008; International Leadership Award by International Association of Food Protection (IAFP, USA), in 2008; election for Fellow by IFT, in 2011; Elmer Marth Educator Award by IAFP, in 2011; election for Fellow by International Academy of Food Science and Technology (IAFoST), in 2012; Distinguished Service Award by ADSA, in 2012; election for Fellow by ADSA, in 2013; J. Dairy Sci. Most Cited Paper Award by ADSA, in 2012; William V. Cruess Award for excellence in teaching by IFT, in 2014; and election for Fellow by AOCS, in 2014.

       Ad augusta per angusta.

      (Toward the top, through hard work)

      Comprehensive mathematical simulation – using mechanistic models as far as possible, constitutes an essential contribution to rationally characterize performance, as well as support design and drive optimization of any enzyme reactor. However, too often studies available in the literature – including text and reference books, deal with extensive modelling of chemical reactors that employ inorganic catalysts, or instead present extensive kinetic analysis of enzymes acting only (and implicitly) in batch apparatuses. Although constraining from an engineering perspective, this status quo is somewhat expected – because chemical engineers typically lack biochemical background, while biochemists miss engineering training. Meanwhile, rising environmental concerns and stricter legislation worldwide have urged the industry to resort to more sustainable, efficient, and cleaner processes – which tend to mimic natural (i.e. enzyme‐mediated) pathways; they generate essentially no polluting effluents or residues, require mild conditions of operation, and exhibit low‐energy requirements – while taking advantage of the extremely high activity and unique substrate selectivity of enzymes. The advent of genetic engineering has also dramatically contributed to drop the unit price, and enlarge the portfolio of enzymes available for industrial purposes, via overexpression in transformed microorganisms and development of sophisticated purification techniques; and advances in molecular engineering have further permitted specific features, in terms of performance and stability, be imparted to enzymes for tailored uses, besides overcoming their intrinsic susceptibility to decay.

      In a word, Enzyme Reactor Engineering attempts to contribute to a thorough understanding of the engineering concepts behind enzyme reactors – framed by a rigorous mathematical and physically consistent approach, and based on mechanistic expressions describing physical phenomena and typical expressions for enzyme‐mediated kinetics and enzyme decay. It takes advantage of a multiplicity of mathematical derivations, but ends up with several useful formulae while highlighting general solutions; and covers from basic definitions and biochemical concepts, through ideal models of flow, eventually to models of actual reactor behavior – including interaction with physical separation and external control. The typical layout of each chapter accordingly includes: introductory considerations, which set the framework for each theme in terms of relevance; objective definition, which entails specific goals and usefulness of ensuing results; and mathematical stepwise development, interwoven with clear