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Mathematical methods in chemical and biological engineering / Binay Kanti Dutta

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Publisher: Boca Raton : CRC Press, 2016Description: 1 Online-RessourceISBN:
  • 9781482210392
Subject(s): Additional physical formats: 9781482210408. | 9781482210385 | Erscheint auch als: Mathematical methods in chemical and biological engineering. Druck-Ausgabe Boca Raton : CRC Press, Taylor & Francis Group, 2017. xxiii, 696 SeitenMSC: MSC: *00A06 | 34-01 | 35-01 | 92B05 | 00A69RVK: RVK: SK 950LOC classification:
  • TP149
Online resources: Summary: 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-FiltrationSummary: 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'Summary: 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 ODEsSummary: 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 FunctionSummary: 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 ProblemsPPN: PPN: 103199453XPackage identifier: Produktsigel: ZDB-4-NLEBK
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