An Introduction to Mathematical Modeling. A Course in Mechanics. Wiley Series in Computational Mechanics
- Language: English
- 344 Pages
- Published: November 2011
Bioengineering is a broad-based engineering discipline that applies engineering principles and design to challenges in human health and medicine, dealing with bio-molecular and molecular processes, product design, sustainability and analysis of biological systems. Applications that benefit from bioengineering include medical devices, diagnostic equipment and biocompatible materials, amongst others.
Computer Modeling in Bioengineering offers a comprehensive reference for a large number of bioengineering topics, presenting important computer modeling problems and solutions for research and medical practice. Starting with basic theory and fundamentals, the book progresses to more advanced methods and applications, allowing the reader to become familiar with different topics to the desired extent. It includes unique and original topics alongside classical computational modeling methods, and each application is structured to explain the physiological background, phenomena that are to be modeled, the computational methods used in the model, and solutions of typical cases. The accompanying software contains over 80 examples, enabling the reader to study a topic using the theory and examples, then run the software to solve the same, or similar examples, varying the model parameters within a given range in order to investigate the problem at greater depth. Tutorials also guide the user in further exploring the modeled problem; these features promote easier learning and will help lecturers with presentations.
Computer Modeling in Bioengineering includes computational methods for modelling bones, tissues, muscles, cardiovascular components, cartilage, cells and cancer nanotechnology as well as many other applications. It bridges the gap between engineering, biology and medicine, and will appeal not only to bioengineering students, lecturers and researchers, but also medical students and clinical researchers. SHOW LESS READ MORE >
Part I: Theoretical Background of Computational Methods.
1. Notation - Matrices and Tensors.
2. Fundamentals of Continuum Mechanics.
3. Heat Transfer, Diffusion, Fluid Mechanics, and Fluid Flow through Porous Deformable Media.
Part II: Fundamentals of Computational Methods.
4. Isoparametric Formulation of Finite Elements.
5. Dynamic Finite Element Analysis.
6. Introduction to Nonlinear Finite Element Analysis.
7. Finite Element Modeling of Field Problems.
8. Discrete Particle Methods for Modeling of Solids and Fluids.
Part III: Computational Methods in Bioengineering.
9. Introduction to Bioengineering.
10. Bone Modeling.
11. Biological Soft Tissue.
12. Skeletal Muscles.
13. Blood Flow and Blood Vessels.
14. Modeling Mass Transport and Thrombosis in Arteries.
15. Cartilage Mechanics.
16. Cell Mechanics.
17. Extracellular Mechanotransduction: Modeling Ligand Concentration Dynamics in the Lateral Intercellular Space of Compressed Airway Epithelial Cells.
18. Spider Silk: Modeling Solvent Removal during Synthetic and Nephila clavipes Fiber Spinning.
19. Modeling in Cancer Nanotechnology.
Miloš Kojic Harvard School of Public Health, USA.
Nenad Filipovic University of Kragujevac .
Boban Stojanovic University of Kragujevac .