| Description |
1 online resource : illustrations (black and white, and colour) |
| Contents |
Cover; Half Title; Title Page; Copyright Page; Contents; Foreword; Preface; List of Solved Examples; Chapter 1 Architecture of Mathematical Models; 1.1 Introduction; 1.2 Classification of Mathematical Models in Chemical and Biological Engineering; 1.3 Models Resulting in Algebraic Equations: Lumped-Parameter, Steady-State Models; 1.3.1 Example of a Phenomenological Model: The SRK (Soave-Redlich-Kwong) Equation of State; 1.3.2 Example of a Stage-Wise Separation Process; 1.3.3 Example of Reactors in Series; 1.4 Models Resulting in Ordinary Differential Equations: Initial Value Problems |
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1.4.1 Concept of a Compartmental Model(i) One-Compartment Model of Drug Metabolism and Elimination; (ii) Two-Compartment Model; 1.4.2 Two-Pool Urea Kinetic Model for Haemodialysis; 1.4.3 Reactors in Series; 1.4.4 Lumped-Parameter Modelling of a Bio-Artificial Membrane Device for Controlled Insulin Release; 1.4.5 Liquid Drainage from a Two-Tank Assembly; 1.5 Models Resulting in Ordinary Differential Equations: Boundary Value Problems; 1.5.1 Heat Diffusion with Generation in a Composite Cylinder -- The Shell Balance Techinque; 1.5.2 Modelling of Bio-Filtration |
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1.5.3 Modelling of a Differential Contactor for Extractive Fermentation1.6 Models Resulting in Partial Differential Equations; 1.6.1 Unsteady Heat Transfer through a Rectangular Fin; 1.6.2 Unsteady-State Heat Conduction in a Rectangular Solid; 1.6.3 Oxygen Transport in Tissues: The Krogh Cylinder; 1.6.4 Absorption of a Drug through the Skin: A Combination of Lumped and Distributed Parameter Models; 1.6.5 Bioheat Transfer: The Pennes Equation; 1.6.6 Slow Release of a Fertilizer through a Polymer Coating; 1.6.7 Controlled Release of Drug from a Drug-Eluting Stent (DES) to Prevent 'Restenosis' |
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1.7 Model Equations In Non-Dimensional Form1.8 Concluding Comments; Exercise Problems; References; Chapter 2 Ordinary Differential Equations and Applications; 2.1 Introduction; 2.2 Review of Solution of Ordinary Differential Equations; 2.2.1 First-Order ODEs and Their Solutions; 2.2.2 Modelling and Solution of Simple Physical Problems; 2.2.3 Second- and Higher-Order Linear ODEs with Constant Coefficients; 2.2.4 The Cauchy-Euler Equation: A Higher-Order ODE with Variable Coefficients; 2.2.5 Examples of Mathematical Models Leading to Second-Order ODEs |
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2.2.6 Modelling of Neutron Diffusion and Nuclear Heat Generation2.3 The Laplace Transform Technique; 2.3.1 Definition of Laplace Transform; 2.3.2 Properties of Laplace Transform; 2.3.3 Inversion of Laplace-Transform; 2.3.4 Solution of Problems Using Laplace Transform; 2.3.5 Solution of a System of Linear Simultaneous ODEs by L -Transform; 2.4 Matrix Method of Solution of Simultaneous ODEs; 2.5 Concluding Comments; Exercise Problems; References; Chapter 3 Special Functions and Solution of Ordinary Differential Equations with Variable Coefficients; 3.1 Introduction; 3.2 The Gamma Function |
| Summary |
Mathematical Methods in Chemical and Biological Engineering describes basic to moderately advanced mathematical techniques useful for shaping the model-based analysis of chemical and biological engineering systems. Covering an ideal balance of basic mathematical principles and applications to physico-chemical problems, this book presents examples drawn from recent scientific and technical literature on chemical engineering, biological and biomedical engineering, food processing, and a variety of diffusional problems to demonstrate the real-world value of the mathematical methods. Emphasis is placed on the background and physical understanding of the problems to prepare students for future challenging and innovative applications |
| Notes |
CIP data; item not viewed |
| Subject |
Chemical engineering -- Mathematics
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Bioengineering -- Mathematics
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SCIENCE -- Chemistry -- Industrial & Technical.
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TECHNOLOGY & ENGINEERING -- Chemical & Biochemical.
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Bioengineering -- Mathematics
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Chemical engineering -- Mathematics
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| Form |
Electronic book
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| ISBN |
9781482210392 |
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1482210398 |
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9781482210408 |
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1482210401 |
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