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F. Xavier Malcata

ISBN: 978-1-119-49028-9

Dec 2018

1074 pages

Select type: Hardcover

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This two volume set details the mathematical background required for systematic and rational simulation of both enzyme reaction kinetics and enzyme reactor performance (and related areas)

Mathematics for Enzyme Reaction Kinetics and Reactor Performance is the first set in a unique 11 volume-collection on Enzyme Reaction Engineering. This two volume-set relates specifically to the wide mathematical background required for systematic and rational simulation of both reaction kinetics and reactor performance; and to fully understand and capitalize on the modelling concepts developed. It accordingly reviews basic and useful concepts of Algebra (first volume), and Calculus and Statistics (second volume). 

A brief overview of such native algebraic entities as scalars, vectors, matrices and determinants constitutes the starting point of the first volume; the major features of germane functions are then addressed. Vector operations ensue, followed by calculation of determinants. Finally, exact methods for solution of selected algebraic equations – including sets of linear equations, are considered, as well as numerical methods for utilization at large.

The second volume begins with an introduction to basic concepts in calculus, i.e. limits, derivatives, integrals and differential equations; limits, along with continuity, are further expanded afterwards, covering uni- and multivariate cases, as well as classical theorems. After recovering the concept of differential and applying it to generate (regular and partial) derivatives, the most important rules of differentiation of functions, in explicit, implicit and parametric form, are retrieved – together with the nuclear theorems supporting simpler manipulation thereof. The book then tackles strategies to optimize uni- and multivariate functions, before addressing integrals in both indefinite and definite forms. Next, the book touches on the methods of solution of differential equations for practical applications, followed by analytical geometry and vector calculus. Brief coverage of statistics–including continuous probability functions, statistical descriptors and statistical hypothesis testing, brings the second volume to a close.


Enzyme Reactor Engineering is organized into four major sets: Enzyme Reaction Kinetics and Reactor Performance; Analysis of Enzyme Reaction Kinetics; Analysis of Enzyme Reactor Performance; and Mathematics for Enzyme Reaction Kinetics and Reactor Performance. In particular, Enzyme Reaction Kinetics and Reactor Performance provides an overview of the behavior of both biocatalyst and bioreactor, including biochemical relevance and industrial applications. Analysis of Enzyme Reaction Kinetics covers analysis of rate expressions and effects of processing conditions upon enzyme reactions. Analysis of Enzyme Reactor Performance looks at analysis of reactor design and performance using enzymes as catalysts, departing from the simplest cases of ideal (single and multiple) reactors, and expanding toward nonideal hydrodynamic patterns and multiphasic systems.  Mathematics for Enzyme Reaction Kinetics and Reactor Performance finally examines mathematical background–from trivial to advanced mathematical concepts of algebra, calculus and statistics, useful for all aforementioned analyses.

  • Presents true engineering aspects departing from first principles, and systematically emphasizes their rationale
  • Pays special attention to stepwise derivation of the underlying equations
  • Offers an unparalleled way of viewing enzyme reactors, by focusing on the reactor component
  • Features a selection of mathematical tools, suitable for modeling at large and for simulation specifically of enzyme reactions and reactors
  • Includes selected papers, chapters, and books recommended for more in-depth, complementary reading 

Mathematics for Enzyme Reaction Kinetics and Reactor Performance is an excellent reference book for students in the fields of chemical, biological and biochemical engineering, and will appeal to all those interested in the fascinating area of white biotechnology.