Computational Models in Biomedical Engineering
Finite Element Models Based on Smeared Physical Fields: Theory, Solutions, and Software
- 1st Edition - September 11, 2022
- 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
- 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
- No. of pages: 400
- Language: English
- Edition: 1
- Published: September 11, 2022
- Imprint: Academic Press
- Paperback ISBN: 9780323884723
- eBook ISBN: 9780323906692
MK
Milos Kojic
MM
Miljan Milosevic
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