Mathematical Models of Chemical Reactions
Author: Péter Érdi
Publisher: Manchester University Press
Published: 1989
Total Pages: 296
ISBN-13: 9780719022081
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Stochastic Chemical Reaction Systems in Biology
Author: Hong Qian
Publisher: Springer Nature
Published: 2021-10-18
Total Pages: 364
ISBN-13: 3030862526
DOWNLOAD EBOOKThis book provides an introduction to the analysis of stochastic dynamic models in biology and medicine. The main aim is to offer a coherent set of probabilistic techniques and mathematical tools which can be used for the simulation and analysis of various biological phenomena. These tools are illustrated on a number of examples. For each example, the biological background is described, and mathematical models are developed following a unified set of principles. These models are then analyzed and, finally, the biological implications of the mathematical results are interpreted. The biological topics covered include gene expression, biochemistry, cellular regulation, and cancer biology. The book will be accessible to graduate students who have a strong background in differential equations, the theory of nonlinear dynamical systems, Markovian stochastic processes, and both discrete and continuous state spaces, and who are familiar with the basic concepts of probability theory.
Stochastic Modelling of Reaction–Diffusion Processes
Author: Radek Erban
Publisher: Cambridge University Press
Published: 2020-01-30
Total Pages: 322
ISBN-13: 1108572995
DOWNLOAD EBOOKThis practical introduction to stochastic reaction-diffusion modelling is based on courses taught at the University of Oxford. The authors discuss the essence of mathematical methods which appear (under different names) in a number of interdisciplinary scientific fields bridging mathematics and computations with biology and chemistry. The book can be used both for self-study and as a supporting text for advanced undergraduate or beginning graduate-level courses in applied mathematics. New mathematical approaches are explained using simple examples of biological models, which range in size from simulations of small biomolecules to groups of animals. The book starts with stochastic modelling of chemical reactions, introducing stochastic simulation algorithms and mathematical methods for analysis of stochastic models. Different stochastic spatio-temporal models are then studied, including models of diffusion and stochastic reaction-diffusion modelling. The methods covered include molecular dynamics, Brownian dynamics, velocity jump processes and compartment-based (lattice-based) models.
Linear Mathematical Models In Chemical Engineering
Author: Martin Aksel Hjortso
Publisher: World Scientific Publishing Company
Published: 2010-01-15
Total Pages: 524
ISBN-13: 9813107138
DOWNLOAD EBOOKLatest Edition: Linear Mathematical Models in Chemical Engineering (2nd Edition)Understanding the mathematical modeling of chemical processes is fundamental to the successful career of a researcher in chemical engineering. This book reviews, introduces, and develops the mathematics that is most frequently encountered in sophisticated chemical engineering models.The result of a collaboration between a chemical engineer and a mathematician, both of whom have taught classes on modeling and applied mathematics, the book provides a rigorous and in-depth coverage of chemical engineering model formulation and analysis as well as a text which can serve as an excellent introduction to linear mathematics for engineering students. There is a clear focus in the choice of material, worked examples, and exercises that make it unusually accessible to the target audience. The book places a heavy emphasis on applications to motivate the theory, but simultaneously maintains a high standard of rigor to add mathematical depth and understanding.
Conservation Equations And Modeling Of Chemical And Biochemical Processes
Author: Said S.E.H. Elnashaie
Publisher: CRC Press
Published: 2003-03-26
Total Pages: 672
ISBN-13: 9780203911501
DOWNLOAD EBOOKPresenting strategies in control policies, this text uses a systems theory approach to predict, simulate and streamline plant operation, conserve fuel and resources, and increase workplace safety in the manufacturing, chemical, petrochemical, petroleum, biochemical and energy industries. Topics of discussion include system theory and chemical/biochemical engineering systems, steady state, unsteady state, and thermodynamic equilibrium, modeling of systems, fundamental laws governing the processes in terms of the state variables, different classifications of physical models, the story of chemical engineering in relation to system theory and mathematical modeling, overall heat balance with single and multiple chemical reactions and single and multiple reactions.
Biomedical Mass Transport and Chemical Reaction
Author: James S. Ultman
Publisher: John Wiley & Sons
Published: 2016-06-13
Total Pages: 654
ISBN-13: 0471656321
DOWNLOAD EBOOKTeaches the fundamentals of mass transport with a unique approach emphasizing engineering principles in a biomedical environment Includes a basic review of physiology, chemical thermodynamics, chemical kinetics, mass transport, fluid mechanics and relevant mathematical methods Teaches engineering principles and mathematical modelling useful in the broad range of problems that students will encounter in their academic programs as well as later on in their careers Illustrates principles with examples taken from physiology and medicine or with design problems involving biomedical devices Stresses the simplification of problem formulations based on key geometric and functional features that permit practical analyses of biomedical applications Offers a web site of homework problems associated with each chapter and solutions available to instructors Homework problems related to each chapter are available from a supplementary website (
Modeling of Chemical Kinetics and Reactor Design
Author: A. Kayode Coker
Publisher: Gulf Professional Publishing
Published: 2001-07-26
Total Pages: 1132
ISBN-13: 9780884154815
DOWNLOAD EBOOKThis reference conveys a basic understanding of chemical reactor design methodologies that incorporate both control and hazard analysis. It demonstrates how to select the best reactor for any particular chemical reaction, and how to estimate its size to determine the best operating conditions.
Mathematical Modeling in Chemical Engineering
Author: Anders Rasmuson
Publisher: Cambridge University Press
Published: 2014-03-20
Total Pages: 195
ISBN-13: 1107049695
DOWNLOAD EBOOKA solid introduction, enabling the reader to successfully formulate, construct, simplify, evaluate and use mathematical models in chemical engineering.
Advanced Data Analysis and Modelling in Chemical Engineering
Author: Denis Constales
Publisher: Elsevier
Published: 2016-08-23
Total Pages: 416
ISBN-13: 0444594841
DOWNLOAD EBOOKAdvanced Data Analysis and Modeling in Chemical Engineering provides the mathematical foundations of different areas of chemical engineering and describes typical applications. The book presents the key areas of chemical engineering, their mathematical foundations, and corresponding modeling techniques. Modern industrial production is based on solid scientific methods, many of which are part of chemical engineering. To produce new substances or materials, engineers must devise special reactors and procedures, while also observing stringent safety requirements and striving to optimize the efficiency jointly in economic and ecological terms. In chemical engineering, mathematical methods are considered to be driving forces of many innovations in material design and process development. - Presents the main mathematical problems and models of chemical engineering and provides the reader with contemporary methods and tools to solve them - Summarizes in a clear and straightforward way, the contemporary trends in the interaction between mathematics and chemical engineering vital to chemical engineers in their daily work - Includes classical analytical methods, computational methods, and methods of symbolic computation - Covers the latest cutting edge computational methods, like symbolic computational methods
Chemical Reactor Design
Author: Juan A. Conesa
Publisher: John Wiley & Sons
Published: 2019-12-04
Total Pages: 350
ISBN-13: 3527346309
DOWNLOAD EBOOKA guide to the technical and calculation problems of chemical reactor analysis, scale-up, catalytic and biochemical reactor design Chemical Reactor Design offers a guide to the myriad aspects of reactor design including the use of numerical methods for solving engineering problems. The author - a noted expert on the topic - explores the use of transfer functions to study residence time distributions, convolution and deconvolution curves for reactor characterization, forced-unsteady-state-operation, scale-up of chemical reactors, industrial catalysis, design of multiphasic reactors, biochemical reactors design, as well as the design of multiphase gas-liquid-solid reactors. Chemical Reactor Design contains several examples of calculations and it gives special emphasis on the numerical solutions of differential equations by using the finite differences approximation, which offers the background information for understanding other more complex methods. The book is designed for the chemical engineering academic community and includes case studies on mathematical modeling by using of MatLab software. This important book: - Offers an up-to-date insight into the most important developments in the field of chemical, catalytic, and biochemical reactor engineering - Contains new aspects such as the use of numerical methods for solving engineering problems, transfer functions to study residence time distributions, and more - Includes illustrative case studies on MatLab approach, with emphasis on numerical solution of differential equations using the finite differences approximation Written for chemical engineers, mechanical engineers, chemists in industry, complex chemists, bioengineers, and process engineers, Chemical Reactor Design addresses the technical and calculation problems of chemical reactor analysis, scale-up, as well as catalytic and biochemical reactor design.
