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

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

  1. 854 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

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

About this book

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 physical 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) perspectives- Features examples, exercises, and MATLAB codes for further reader involvement- Covers basic and advanced functional and computational techniques throughout the book

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Yes, you can access A Comprehensive Physically Based Approach to Modeling in Bioengineering and Life Sciences by Riccardo Sacco,Giovanna Guidoboni,Aurelio Giancarlo Mauri in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Biology. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright
  5. Dedication
  6. About the Authors
  7. Preface
  8. Acknowledgment
  9. Part 1: Mathematical, Computational, and Physical Foundations
  10. Introduction
  11. Chapter 1: Elements of Mathematical Modeling
  12. Chapter 2: Elements of Mathematical Methods
  13. Chapter 3: Elements of Computational Methods
  14. Chapter 4: Elements of Physics
  15. Part 2: Balance Laws
  16. Introduction
  17. Chapter 5: The Rational Continuum Mechanics Approach to Matter in Motion
  18. Chapter 6: Balance Laws in Integral Form
  19. Chapter 7: Balance Laws in Local Form
  20. Chapter 8: Continuum Approach for Multicomponent Mixtures
  21. Part 3: Constitutive Relations
  22. Introduction
  23. Chapter 9: Preliminary Considerations on Constitutive Modeling
  24. Chapter 10: Constitutive Relations for Fluids
  25. Chapter 11: Constitutive Relations for Solids
  26. Chapter 12: Constitutive Relations for Multicomponent Mixtures
  27. Chapter 13: Constitutive Relations in Electromagnetism and Ion Electrodynamics
  28. Part 4: Model Reduction of System Complexity
  29. Introduction
  30. Chapter 14: Reduction of the Maxwell partial differential system
  31. Chapter 15: Electric Analogy to Fluid Flow
  32. Part 5: Mathematical Models of Basic Biological Units and Complex Systems
  33. Introduction
  34. Chapter 16: Cellular Components and Functions: A Brief Overview
  35. Chapter 17: Mathematical Modeling of Cellular Electric Activity
  36. Chapter 18: Mathematical Modeling of Electric Propagation Along Nerve Fibers
  37. Chapter 19: Differential Models in Cellular Functions
  38. Part 6: Advanced Mathematical and Computational Methods
  39. Introduction
  40. Chapter 20: Functional Spaces and Functional Inequalities
  41. Chapter 21: Functional Iterations for Nonlinear Coupled Systems of Partial Differential Equations
  42. Chapter 22: Time Semidiscretization and Weak Formulations for Initial Value/Boundary Value Problems of Advection–Diffusion–Reaction Type
  43. Chapter 23: Finite Element Approximations of Boundary Value Problems of Advection–Diffusion–Reaction Type
  44. Chapter 24: Finite Element Approximations of Initial Value/Boundary Value Problems of Advection–Diffusion–Reaction Type
  45. Chapter 25: Finite Element Approximation of a Unified Model for Linear Elastic Materials
  46. Part 7: Simulation Examples and Clinical Applications
  47. Introduction
  48. Chapter 26: Ion Dynamics in Cellular Membranes
  49. Chapter 27: Interaction Between Hemodynamics and Biomechanics in Ocular Perfusion
  50. Part 8: Examples, Exercises, and Projects
  51. Introduction
  52. Chapter 28: Coding of Examples Using Matlab Scripts
  53. Chapter 29: Matlab Functions for Algorithm Implementation
  54. Chapter 30: Homework: Exercises and Projects
  55. Appendix A: Elements of Differential Geometry and Balance Laws in Curvilinear Coordinates
  56. Bibliography
  57. Index