A simple method of solution for a class of bioreaction-diffusion problems
TL;DR: A simple method of solution is highlighted for solving a class of bioreaction-diffusion problems by virtue of the proposed transformation the original boundary value problem is rendered into an equivalent initial value problem.
Abstract: A simple method of solution is highlighted for solving a class of bioreaction-diffusion problems. By virtue of the proposed transformation the original boundary value problem is rendered into an equivalent initial value problem. Results are comparable to conventional methods, and have lower computational time requirements.
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TL;DR: A model was developed which describes simultaneous reaction and internal diffusion for kinetically controlled, immobilized α-chymotrypsin-catalyzed, oligopeptide synthesis in acetonitrile medium and is able to predict reasonably well the experimentally observed initial rate and nucleophile selectivity vs. enzyme loading profiles.
Abstract: A model was developed which describes simultaneous reaction and internal diffusion for kinetically controlled, immobilized α-chymotrypsin-catalyzed, oligopeptide synthesis in acetonitrile medium. The model combines the equations that describe the intrinsic kinetics of four different reactions and the physical characteristics of three different support materials, as determined experimentally, to predict the apparent initial activity and nucleophile selectivity of the immobilized biocatalyst. The model is able to predict reasonably well the experimentally observed initial rate and nucleophile selectivity vs. enzyme loading profiles. The reduction in observed initial rate with enzyme loading when fast reactions are carried out with α-chymotrypsin immobilized on celite, and the larger influence of mass transfer limitations on the initial reaction rates than on nucleophile selectivities are correctly predicted by the numerical calculations. The model is general in terms of its application to other systems — enzymes, reactions, support materials and/or kinetic schemes — as long as the intrinsic kinetics and the characteristics of the enzyme and support material are known.
6 citations
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Book•
01 Jan 1986
TL;DR: Biochemical Engineering Fundamentals, 2/e as mentioned in this paper combines contemporary engineering science with relevant biological concepts in a comprehensive introduction to biochemical engineering, which enables students to comprehend the major problems in biochemical engineering and formulate effective solutions.
Abstract: Biochemical Engineering Fundamentals, 2/e, combines contemporary engineering science with relevant biological concepts in a comprehensive introduction to biochemical engineering. The biological background provided enables students to comprehend the major problems in biochemical engineering and formulate effective solutions.
3,155 citations
Book•
11 Jan 1988
TL;DR: This bioreactor immobilized enzymes and cells fundamentals and applications, written by an experienced author, will show the reasonable reasons why you need to read this book.
Abstract: Any books that you read, no matter how you got the sentences that have been read from the books, surely they will give you goodness. But, we will show you one of recommendation of the book that you need to read. This bioreactor immobilized enzymes and cells fundamentals and applications is what we surely mean. We will show you the reasonable reasons why you need to read this book. This book is a kind of precious book written by an experienced author.
59 citations
TL;DR: In this article, the steady-state one-dimensional diffusion equation with a nonlinear source term is transformed from a boundary-value to an initial-value problem, and exact numerical solutions to this class of equations can be obtained in a single step.
Abstract: The steady-state one-dimensional diffusion equation with a nonlinear source term is a class of differential equations governing the behavior of many biological systems. As with other types of nonlinear differential equations, exact analytical solutions exist only in some very special cases. Previously, analytical solutions could be obtained only by a linearization process; moreover, the analytical solutions thus obtained approach the exact solution in a very limited range of some physical parameters. On the other hand, numerical solutions obtained by using digital computers, although exact, usually require an iteration process due to the two-point nature of the boundary conditions in such problems. In this article a method of transformation is introduced that makes it possible to transform the governing differential equation from a boundary-value to an initial-value problem. As a result, exact numerical solutions to this class of equations can be obtained in a single step. Numerical solutions of the concentration profiles in an enzyme system are presented as an illustration of the method.
20 citations
13 citations