Advanced Methods and Mathematical Modeling of Biofilms

Advanced Methods and Mathematical Modeling of Biofilms

Applications in health care, medicine, food, aquaculture, environment, and industry

1st Edition - May 14, 2022

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  • Authors: Mojtaba Delavar, Junye Wang
  • eBook ISBN: 9780323903745
  • Paperback ISBN: 9780323856904

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Advanced Mathematical Modelling of Biofilms and its Applications covers the concepts and fundamentals of biofilms, including sections on numerical discrete and numerical continuum models and different biofilms methods, e.g., the lattice Boltzmann method (LBM) and cellular automata (CA) and integrated LBM and individual-based model (iBM). Other sections focus on design, problem-solving and state-of-the-art modelling methods. Addressing the needs to upgrade and update information and knowledge for students, researchers and engineers on biofilms in health care, medicine, food, aquaculture and industry, this book also covers areas of uncertainty and future needs for advancing the use of biofilm models. Over the past 25-30 years, there have been rapid advances in various areas of computer technologies, applications and methods (e.g. complex programming and algorithms, lattice Boltzmann method, high resolution visualization and high-performance computation). These new and emerging technologies are providing unprecedented opportunities to develop modeling frameworks of biofilms and their applications.

Key Features

  • Introduces state-of-the-art methods of biofilm modeling, such as integrated lattice Boltzmann method (LBM) and cellular automata (CA) and integrated LBM and individual-based model (iBM)
  • Provides recent progress in more powerful tools for a deeper understanding of biofilm complexity by implementing state-of-the art biofilm modeling programs
  • Compares advantages and disadvantages of different biofilm models and analyzes some specific problems for model selection
  • Evaluates novel process designs without the cost, time and risk of building a physical prototype of the process to identify the most promising designs for experimental testing


Researchers in microbiology, medical microbiology, bioremediation experts, environmental experts and microbiologists working on biofilms. Students, researchers, industry personals as well as the academicians with background in microbiology, biotechnology, molecular biology, bacterial pathogenesis, environmental science and microbial ecology. Additionally, the book could be used for undergraduate and post graduate courses in the above-mentioned disciplines

Table of Contents

  • Cover image
  • Title page
  • Table of Contents
  • Copyright
  • Author bios
  • Preface
  • Chapter 1. Introduction
  • 1.1. Background
  • 1.2. History of biofilms studies
  • 1.3. Problems and objectives of biofilm research
  • Chapter 2. Concept and fundamentals of biofilms
  • 2.1. Overview
  • 2.2. Spatiotemporal heterogeneity
  • 2.3. Nutrient availability and environmental conditions
  • 2.4. Competition and cooperation
  • 2.5. Modeling approaches and selection
  • 2.6. Numerical solutions
  • 2.7. Classification and selection of mathematical models
  • Chapter 3. Kinetic models
  • 3.1. Monod model
  • 3.2. Extended Monod's models
  • 3.3. Substrate consideration
  • 3.4. Other unstructured models
  • 3.5. Summary
  • Chapter 4. Continuum models
  • 4.1. Continuum models overview
  • 4.2. One-dimensional continuum models
  • 4.3. Multidimensional continuum models
  • 4.4. Quorum sensing, antimicrobial persistence, and EPS modeling
  • 4.5. Summary
  • Chapter 5. Discrete models
  • 5.1. Discrete models overview
  • 5.2. Biological cellular automata
  • 5.3. Individual-based models
  • 5.4. Hybrid model of computational fluid dynamics and cellular automata
  • 5.5. Summary
  • Chapter 6. Hybrid lattice Boltzmann continuum–discrete models
  • 6.1. Biofilm growth and development in reactive transport systems
  • 6.2. Hybrid lattice Boltzmann and cellular automaton models
  • 6.3. Hybrid lattice Boltzmann and individual-based models
  • 6.4. Summary
  • Chapter 7. Bioreactor concepts, types, and modeling
  • 7.1. Bioreactor definition and functions
  • 7.2. Bioreactor types
  • 7.3. Bioreactor components and control system
  • 7.4. Bioreactor modeling
  • 7.5. Challenges and trends for bioreactor modeling
  • 7.6. Summary
  • Index

Product details

  • No. of pages: 264
  • Language: English
  • Copyright: © Academic Press 2022
  • Published: May 14, 2022
  • Imprint: Academic Press
  • eBook ISBN: 9780323903745
  • Paperback ISBN: 9780323856904

About the Authors

Mojtaba Delavar

Dr. Mojtaba Aghajani Delavar is a postdoctoral fellow at Athabasca University. He received his B.Sc. in mechanical engineering from Amirkabir University of Technology in 2001, M.Sc. and Ph.D. in mechanical Engineering from Mazandaran University in 2003 and 2010, respectively. He worked at Babol Noshirvani University of Technology in Iran as assistant and associate professor from 2010 until 2019. Then he joined professor Wang’s research group at Athabasca university. Dr. Delavar has about 20 year’s experience in modelling of various industrial and biological systems using different modelling schemes including mathematical and numerical analysis and simulation. He has authored/co-authored over 80 papers including more than 45 peer reviewed journal papers.

Affiliations and Expertise

Postdoctoral Fellow, Athabasca University, Athabasca, Alberta, Canada

Junye Wang

Dr. Junye Wang is a Professor and the Campus Alberta Innovation Program (CAIP) Research Chair at Athabasca University, Canada. He received his M.Sc. degree in thermo-physics from Harbin Shipbuilding Engineering Institute, Ph.D. degrees in chemical and mechanical engineering from East China University of Science and Technology in 1989 and 1996, respectively. Then he joined Shanghai Jiaotong University as an associate professor in 1996. From 1999 till 2012 he worked at the Universities of Sheffield, Greenwich, and Loughborough, and Scottish Crop Research Institute and Rothamsted Research, UK, as research associate, research scientist and principal research scientist, respectively. Dr. Wang has over 30 years’ experience of multi-scale and multidisciplinary modelling and is internationally recognized leader in microbiology, infectious diseases, and public health. He has authored/co-authored over 150 papers, including over 100 refereed journal papers, and serves as associate editor and editorial board member on several international journals. He is also a reviewer of papers for over 100 international journals.

Affiliations and Expertise

Professor, Athabasca University, Athabasca, Alberta, Canada; Research Chair, Campus Alberta Innovation Program (CAIP), Athabasca University, Athabasca, Alberta, Canada

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