Computational Models in Biomedical Engineering
Finite Element Models Based on Smeared Physical Fields: Theory, Solutions, and Software
- 1st Edition - September 11, 2022
- Imprint: Academic Press
- Authors: Milos Kojic, Miljan Milosevic, Arturas Ziemys
- Language: English
- Paperback ISBN:9 7 8 - 0 - 3 2 3 - 8 8 4 7 2 - 3
- eBook ISBN:9 7 8 - 0 - 3 2 3 - 9 0 6 6 9 - 2
Computational Models in Biomedical Engineering: Finite Element Models Based on Smeared Physical Fields: Theory, Solutions, and Software discusses novel computational methodolo… Read more
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Request a sales quoteComputational Models in Biomedical Engineering: Finite Element Models Based on Smeared Physical Fields: Theory, Solutions, and Software discusses novel computational methodologies developed by the authors that address a variety of topics in biomedicine, with concepts that rely on the so-called smeared physical field built into the finite element method. A new and straightforward methodology is represented by their Kojic Transport Model (KTM), where a composite smeared finite element (CSFE) as a FE formulation contains different fields (e.g., drug concentration, electrical potential) in a composite medium, such as tissue, which includes the capillary and lymphatic system, different cell groups and organelles.
The continuum domains participate in the overall model according to their volumetric fractions. The governing laws and material parameters are assigned to each of the domains. Furthermore, the continuum fields are coupled at each FE node by connectivity elements which take into account biological barriers such as vessel walls and cells.
- Provides a methodology based on the smeared concept within the finite element method which is simple, straightforward and easy to use
- Enables the modeling of complex physical field problems and the mechanics of biological systems
- Includes features that are illustrated in chapters devoted to applications surrounding tissue, heart and lung
- Includes a methodology that can serve as a basis for further enhancements by including additional phenomena which can be described by relevant relationships, derived theoretically or experimentally observed in laboratories and clinics
Students, educators, and researchers in computational mechanics focusing on biomedical engineering problems, researchers and students in biomedical engineering, and researchers in labs and clinics who need easy-to-use computational models for various applications Clinicians and researchers interested in computational models and their applications
- Cover image
- Title page
- Table of Contents
- Copyright
- 1. Basic processes in living organisms
- 1.1. Introduction: mass transport as a vital process in living organisms
- 1.2. Circulatory system
- 1.3. Tissue
- 1.4. Cells
- 1.5. Specificities of the body organs with respect to transport
- 1.6. Tissue microenvironment within organs and physiological barriers to transport
- 2. Fundamental laws for physical fields and mechanics
- 2.1. Diffusion
- 2.2. Heat conduction
- 2.3. Flow through porous media
- 2.4. Electrostatics
- 2.5. Fluid flow
- 2.6. Mechanics of solids
- 3. Kojic transport model (KTM) for physical fields
- 4. Smeared finite element formulation for mechanics
- 4.1. FE modeling of 3D solid deformation
- 4.2. Shell deformation
- 4.3. Large strain FE formulation
- 4.4. Fluid mechanics
- 4.5. Solid–fluid and solid–solid interaction
- 4.6. Composite smeared finite element for mechanics (CSFEM)
- 4.7. Numerical examples
- 5. Multiscale hierarchical models for diffusion in composite media and tissue
- 5.1. Introduction
- 5.2. Multiscale diffusion and numerical homogenization
- 5.3. Coupled convective and diffusive transport within vessels and tissue
- 5.4. Examples
- 6. Application of Kojic transport model (KTM) to convective-diffusive transport and electrophysiology in tissue and capillaries
- 6.1. Introduction—mass transport in living organisms
- 6.2. KTM for convective and diffusive transport
- 6.3. Application of KTM in electrophysiology
- 6.4. KTM for drug release from nanofibers
- 6.5. Examples
- 7. Heart electrophysiology and mechanics
- 7.1. Heart physiology
- 7.2. Electrophysiology
- 7.3. Heart mechanics
- 7.4. Computational models for the heart tissue passive mechanical response
- 7.5. Finite element models of the left ventricle—wall deformation and blood flow
- 8. Description of the software accompanying the book
- 8.1. Introduction
- 8.2. General structure of graphical user interface (GUI) software accompanying the book
- 8.3. Procedures for running examples and visualization of results
- Index
- Edition: 1
- Published: September 11, 2022
- No. of pages (Paperback): 400
- No. of pages (eBook): 400
- Imprint: Academic Press
- Language: English
- Paperback ISBN: 9780323884723
- eBook ISBN: 9780323906692
MK
Milos Kojic
Dr. Milos Kojic is one of the leading scientists in the computational mechanics and finite element method and its application in
engineering and biomedicine. He is currently Full Member and Professor of Nanomedicine, Department of Nanomedicine, The
Methodist Hospital Research Institute, Houston, TX, USA, as well as the Director of the Bioengineering R&D Center, Kragujevac,
Serbia. In his long professional carrier, Dr. Kojic has been Professor of Mechanics at University of Kragujevac, Serbia (retired),
Visiting Scholar of MIT; Research and Development Engineer of ADINA R&D, Boston; Senior Research Scientist, Harvard School
of Public Health; and Member of the Serbian Academy of Science and Arts, from 2009. Dr. Kojic’s research is primarily concerning
the finite element method, implementation in engineering and biomedicine; and software development. He has formulated and
implemented a number of original concepts and solutions, among which is the Governing Parameter Method for inelastic analysis
of solids and structures, and recently the smeared finite element models for field problems and mechanics, also known as the Kojic
Transport Model (KTM). He initiated and has been PI of the FE software package PAK for solids and fluids, field and coupled
problems, and biomechanics. The PAK software has been developing over decades with participation of several generations; today,
it is the basic tool for applications in industry and in research within various domestic and international grants. Dr. Kojic is the lead
author of over 10 textbooks in Serbian and two books by world leading publishers: Inelastic Analysis of Solids and Structures, from
Springer, and Computer Modeling in Bioengineering, from J. Wiley and Sons.
Affiliations and expertise
Full Member, Professor, Nanomedicine, Department of Nanomedicine, The Methodist Hospital Research Institute, Houston, TX, USA; Director, Bioengineering R&D Center, Kragujevac, SerbiaMM
Miljan Milosevic
Dr. Miljan Milosevic is a Senior Research Engineer at Bioengineering R&D Center, Kragujevac Serbia. He also serves as an
Associate Professor at Metropolitan University, Belgrade, teaching courses in informatics and its applications. Dr. Milosevic
received his Ph.D. in Mechanical Engineering from the Faculty of Engineering Sciences, University of Kragujevac. His research
interests are centered primarily on the development of the finite element methodology in bioengineering and implementation to the
software package PAK. He has been leading research related to the creation of interfaces for use of the software PAK, including
connection to imaging data.
Affiliations and expertise
Senior Research Engineer, Bioengineering R&D Center, Kragujevac Serbia; Associate Professor, Metropolitan University, BelgradeAZ
Arturas Ziemys
Dr. Arturas Ziemys is an Assistant Professor in the Program of Mathematics in Medicine, Department of Nanomedicine, Radiation Oncology, at The Methodist Hospital Research Institute, Houston, TX, USA. His professional experience includes being a research Scientist at the Institute of Biochemistry, Vilnius, Lithuania; Lecturer in Molecular Biology and Bioinformatics at Vytautas Magnus University, Kaunas, Lithuania. His research focus includes enzymatic catalysis, biophysics of protein function and structure, mass transport in nanoporous materials, nanomedicine, bioengineering and drug delivery. This research integrates in silico, in vitro, in vivo, and clinical aspects. His most recent publications focus on drug delivery and therapeutic resistance involving small molecules and immunotherapies.
Affiliations and expertise
Assistant Professor, Program of Mathematics in Medicine, Department of Nanomedicine, Radiation Oncology, The Methodist Hospital Research Institute, Houston, TX, USARead Computational Models in Biomedical Engineering on ScienceDirect