A Comprehensive Physically Based Approach to Modeling in Bioengineering and Life Sciences

A Comprehensive Physically Based Approach to Modeling in Bioengineering and Life Sciences provides a systematic methodology to the formulation of problems in biomedical engineering and the life sciences through the adoption of mathematical models based on physics principles, such as the conservation of mass, electric charge, momentum, and energy. It then teaches how to translate the mathematical formulation into a numerical algorithm that is implementable on a computer. The book employs computational models as synthesized tools for the investigation, quantification, verification and comparison of different conjectures or scenarios of the behavior of a given compartment of the human body under physiological and pathological conditions. Presents theoretical (modeling), biological (experimental), and computational (simulation) perspectivesFeatures examples, exercises, and MATLAB codes for further reader involvementCovers basic and advanced functional and computational techniques throughout the book INDICE: Part I. Overview and Preliminaries 1. Elements of mathematical modeling 2. Elements of bioengineering and life sciences 3. Elements of mathematical methods 4. Elements of computational methods 5. Elements of physics 6. Projects and Exercises Part II. Balance Laws and Constitutive Relations 7. The rational continuum mechanics approach to matter in motion 8. Balance laws in integral form 9. Balance laws in local form 10. Constitutive relations in uid and solid mechanics 11. Constitutive relations in electromagnetism and ion electrodiusion 12. Projects and Exercises Part III. Model Reduction of System Complexity 13. Multiple scales and dimensional analysis 14. Model reduction for current ow in a circuit 15. Model reduction for uid ow in a tube 16. Electric analogy to uid ow 17. Projects and Exercises Part IV. Mathematical Models for Basic Biological Units and Complex Systems 18. From ions, to cells, to systems and back 19. Mathematical models for cellular electrophysiology 20. Mathematical models for cellular functions 21. Mathematical models for physiological uid ow 22. Mathematical models for biological tissue mechanics 23. Projects and Exercises Part V. Advanced Mathematical and Computational Methods 24. Functional spaces and functional inequalities 25. Iterative formulations for nonlinear coupled systems 26. Weak formulations for initial-boundary value problems 27. Finite element approximations of initial-boundary value problems 28. Projects and Exercises Part VI. Simulation Examples and Clinical Applications 29. Ion channel dynamics in cellular membranes 30. Ocular uid dynamics, biomechanics and oxygenation 31. Systemic features of cardiovascular hemodynamics 32. Projects and Exercises

• ISBN: 978-0-12-812518-2
• Editorial: Academic Press
• Encuadernacion: Rústica
• Páginas: 520
• Fecha Publicación: 01/10/2018
• Nº Volúmenes: 1
• Idioma: Inglés