Introduction to Modeling and Numerical Methods for Biomedical and Chemical Engineers

Introduction to Modeling and Numerical Methods for Biomedical and Chemical Engineers
Author: Edward Gatzke
Publisher: Springer Nature
Total Pages: 292
Release:
Genre: Biomedical engineering
ISBN: 3030764494

This textbook introduces the concepts and tools that biomedical and chemical engineering students need to know in order to translate engineering problems into a numerical representation using scientific fundamentals. Modeling concepts focus on problems that are directly related to biomedical and chemical engineering. A variety of computational tools are presented, including MATLAB, Excel, Mathcad, and COMSOL, and a brief introduction to each tool is accompanied by multiple computer lab experiences. The numerical methods covered are basic linear algebra and basic statistics, and traditional methods like Newton's method, Euler Integration, and trapezoidal integration. The book presents the reader with numerous examples and worked problems, and practice problems are included at the end of each chapter. Focuses on problems and methods unique to biomedical and chemical engineering; Presents modeling concepts drawn from chemical, mechanical, and materials engineering; Ancillary materials include lecture notes and slides and online videos that enable a flipped classroom or individual study.

Numerical Methods in Biomedical Engineering

Numerical Methods in Biomedical Engineering
Author: Stanley Dunn
Publisher: Elsevier
Total Pages: 628
Release: 2005-11-21
Genre: Technology & Engineering
ISBN: 0080470807

Numerical Modeling in Biomedical Engineering brings together the integrative set of computational problem solving tools important to biomedical engineers. Through the use of comprehensive homework exercises, relevant examples and extensive case studies, this book integrates principles and techniques of numerical analysis. Covering biomechanical phenomena and physiologic, cell and molecular systems, this is an essential tool for students and all those studying biomedical transport, biomedical thermodynamics & kinetics and biomechanics. Supported by Whitaker Foundation Teaching Materials Program; ABET-oriented pedagogical layout Extensive hands-on homework exercises

A Step by Step Approach to the Modeling of Chemical Engineering Processes

A Step by Step Approach to the Modeling of Chemical Engineering Processes
Author: Liliane Maria Ferrareso Lona
Publisher: Springer
Total Pages: 183
Release: 2017-12-15
Genre: Science
ISBN: 3319660470

This book treats modeling and simulation in a simple way, that builds on the existing knowledge and intuition of students. They will learn how to build a model and solve it using Excel. Most chemical engineering students feel a shiver down the spine when they see a set of complex mathematical equations generated from the modeling of a chemical engineering system. This is because they usually do not understand how to achieve this mathematical model, or they do not know how to solve the equations system without spending a lot of time and effort. Trying to understand how to generate a set of mathematical equations to represent a physical system (to model) and solve these equations (to simulate) is not a simple task. A model, most of the time, takes into account all phenomena studied during a Chemical Engineering course. In the same way, there is a multitude of numerical methods that can be used to solve the same set of equations generated from the modeling, and many different computational languages can be adopted to implement the numerical methods. As a consequence of this comprehensiveness and combinatorial explosion of possibilities, most books that deal with this subject are very extensive and embracing, making need for a lot of time and effort to go through this subject. It is expected that with this book the chemical engineering student and the future chemical engineer feel motivated to solve different practical problems involving chemical processes, knowing they can do that in an easy and fast way, with no need of expensive software.

Mathematical Modeling in Chemical Engineering

Mathematical Modeling in Chemical Engineering
Author: Anders Rasmuson
Publisher: Cambridge University Press
Total Pages: 195
Release: 2014-03-20
Genre: Technology & Engineering
ISBN: 1139917005

A solid introduction to mathematical modeling for a range of chemical engineering applications, covering model formulation, simplification and validation. It explains how to describe a physical/chemical reality in mathematical language and how to select the type and degree of sophistication for a model. Model reduction and approximation methods are presented, including dimensional analysis, time constant analysis and asymptotic methods. An overview of solution methods for typical classes of models is given. As final steps in model building, parameter estimation and model validation and assessment are discussed. The reader is given hands-on experience of formulating new models, reducing the models and validating the models. The authors assume the knowledge of basic chemical engineering, in particular transport phenomena, as well as basic mathematics, statistics and programming. The accompanying problems, tutorials, and projects include model formulation at different levels, analysis, parameter estimation and numerical solution.

Numerical and Statistical Methods for Bioengineering

Numerical and Statistical Methods for Bioengineering
Author: Michael R. King
Publisher: Cambridge University Press
Total Pages: 595
Release: 2010-11-04
Genre: Technology & Engineering
ISBN: 1139493426

The first MATLAB-based numerical methods textbook for bioengineers that uniquely integrates modelling concepts with statistical analysis, while maintaining a focus on enabling the user to report the error or uncertainty in their result. Between traditional numerical method topics of linear modelling concepts, nonlinear root finding, and numerical integration, chapters on hypothesis testing, data regression and probability are interweaved. A unique feature of the book is the inclusion of examples from clinical trials and bioinformatics, which are not found in other numerical methods textbooks for engineers. With a wealth of biomedical engineering examples, case studies on topical biomedical research, and the inclusion of end of chapter problems, this is a perfect core text for a one-semester undergraduate course.

A Numerical Primer for the Chemical Engineer

A Numerical Primer for the Chemical Engineer
Author: Edwin Zondervan
Publisher: CRC Press
Total Pages: 196
Release: 2014-08-12
Genre: Mathematics
ISBN: 1482229447

Solve Developed Models in a Numerical Fashion Designed as an introduction to numerical methods for students, A Numerical Primer for the Chemical Engineer explores the role of models in chemical engineering. Combining mathematical correctness (model verification) with numerical performance (model validation), this text concentrates on numerical methods and problem solving, rather than focusing on in-depth numerical analysis. It applies actual numerical solution strategies to formulated process models to help identify and solve chemical engineering problems. Describe Motions with Accuracy The book starts with a recap on linear algebra, and uses algorithms to solve linear equations, nonlinear equations, ordinary differential equations, and partial differential equations (PDEs). It includes an introductory chapter on MATLAB® basics, contains a chapter on the implementation of numerical methods in Excel, and even adopts MATLAB and Excel as the programming environments throughout the text. The material addresses implicit and explicit schemes, and explores finite difference and finite volume methods for solving transport PDEs. It covers the methods for error and computational stability, as well as curve fitting and optimization. It also contains a case study chapter with worked out examples to demonstrate the numerical techniques, and exercises at the end of each chapter that students can use to familiarize themselves with the numerical methods. A Numerical Primer for the Chemical Engineer lays down a foundation for numerical problem solving and sets up a basis for more in-depth modeling theory and applications. This text addresses the needs of senior undergraduates in chemical engineering, and students in applied chemistry and biochemical process engineering/food process engineering.

Process Modeling and Simulation for Chemical Engineers

Process Modeling and Simulation for Chemical Engineers
Author: Simant R. Upreti
Publisher: John Wiley & Sons
Total Pages: 362
Release: 2017-05-01
Genre: Technology & Engineering
ISBN: 1118914686

This book provides a rigorous treatment of the fundamental concepts and techniques involved in process modeling and simulation. The book allows the reader to: (i) Get a solid grasp of “under-the-hood” mathematical results (ii) Develop models of sophisticated processes (iii) Transform models to different geometries and domains as appropriate (iv) Utilize various model simplification techniques (v) Learn simple and effective computational methods for model simulation (vi) Intensify the effectiveness of their research Modeling and Simulation for Chemical Engineers: Theory and Practice begins with an introduction to the terminology of process modeling and simulation. Chapters 2 and 3 cover fundamental and constitutive relations, while Chapter 4 on model formulation builds on these relations. Chapters 5 and 6 introduce the advanced techniques of model transformation and simplification. Chapter 7 deals with model simulation, and the final chapter reviews important mathematical concepts. Presented in a methodical, systematic way, this book is suitable as a self-study guide or as a graduate reference, and includes examples, schematics and diagrams to enrich understanding. End of chapter problems with solutions and computer software available online at www.wiley.com/go/upreti/pms_for_chemical_engineers are designed to further stimulate readers to apply the newly learned concepts.

Chemical and Biomedical Engineering Calculations Using Python

Chemical and Biomedical Engineering Calculations Using Python
Author: Jeffrey J. Heys
Publisher: John Wiley & Sons
Total Pages: 278
Release: 2017-01-10
Genre: Technology & Engineering
ISBN: 1119267064

Presents standard numerical approaches for solving common mathematical problems in engineering using Python. Covers the most common numerical calculations used by engineering students Covers Numerical Differentiation and Integration, Initial Value Problems, Boundary Value Problems, and Partial Differential Equations Focuses on open ended, real world problems that require students to write a short report/memo as part of the solution process Includes an electronic download of the Python codes presented in the book

Numerical Methods in Chemical Engineering Using Python® and Simulink®

Numerical Methods in Chemical Engineering Using Python® and Simulink®
Author: Nayef Ghasem
Publisher: CRC Press
Total Pages: 371
Release: 2023-07-17
Genre: Technology & Engineering
ISBN: 1000907325

Numerical methods are vital to the practice of chemical engineering, allowing for the solution of real-world problems. Written in a concise and practical format, this textbook introduces readers to the numerical methods required in the discipline of chemical engineering and enables them to validate their solutions using both Python and Simulink. Introduces numerical methods, followed by the solution of linear and nonlinear algebraic equations. Deals with the numerical integration of a definite function and solves initial and boundary value ordinary differential equations with different orders. Weaves in examples of various numerical methods and validates solutions to each with Python and Simulink graphical programming. Features appendices on how to use Python and Simulink. Aimed at advanced undergraduate and graduate chemical engineering students, as well as practicing chemical engineers, this textbook offers a guide to the use of two of the most widely used programs in the discipline. The textbook features numerous video lectures of applications and a solutions manual for qualifying instructors.

Mathematical Modeling and Numerical Methods in Chemical Physics and Mechanics

Mathematical Modeling and Numerical Methods in Chemical Physics and Mechanics
Author: Ali V. Aliev
Publisher: CRC Press
Total Pages: 564
Release: 2016-04-27
Genre: Mathematics
ISBN: 1771882905

The use of mathematical modeling in engineering allows for a significant reduction of material costs associated with design, production, and operation of technical objects, but it is important for an engineer to use the available computational approaches in modeling correctly. Taking into account the level of modern computer technology, this new vo