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 physical principles, such as the conservatio...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Sacco, Riccardo (Autor), Guidoboni, Giovanna (Autor), Mauri, Aurelio Giancarlo (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Academic Press, [2019]
Edición:First edition.
Temas:
Bioengineering > Models.
Life sciences > Models.
Mathematical models.
Life sciences.
Models, Theoretical
Bioengineering
Biological Science Disciplines
Mod�eles math�ematiques.
Sciences de la vie.
mathematical models.
biological sciences.
Life sciences
Mathematical models
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Part 1: Mathematical, Computational, and Physical Foundations. Chapter 1 - Elements of Mathematical Modeling
  • Chapter 2 - Elements of Mathematical Methods
  • Chapter 3 - Elements of Computational Methods
  • Chapter 4 - Elements of Physics Part 2: Balance Laws. Chapter 5 - The Rational Continuum Mechanics Approach to Matter in Motion
  • Chapter 6 - Balance Laws in Integral Form
  • Chapter 7 - Balance Laws in Local Form
  • Chapter 8 - Continuum Approach for Multicomponent Mixtures Part 3: Constitutive Relations. Chapter 9 - Preliminary Considerations on Constitutive Modeling
  • Chapter 10 - Constitutive Relations for Fluids
  • Chapter 11 - Constitutive Relations for Solids
  • Chapter 12 - Constitutive Relations for Multicomponent Mixtures
  • Chapter 13 - Constitutive Relations in Electromagnetism and Ion Electrodynamics Part 4: Model Reduction of System Complexity. Chapter 14 - Reduction of the Maxwell partial differential system
  • Chapter 15 - Electric Analogy to Fluid Flow Part 5: Mathematical Models of Basic Biological Units and Complex Systems. Chapter 16 - Cellular Components and Functions: A Brief Overview
  • Chapter 17 - Mathematical Modeling of Cellular Electric Activity
  • Chapter 18 - Mathematical Modeling of Electric Propagation Along Nerve Fibers
  • Chapter 19 - Differential Models in Cellular Functions Part 6: Advanced Mathematical and Computational Methods. Chapter 20 - Functional Spaces and Functional Inequalities
  • Chapter 21 - Functional Iterations for Nonlinear Coupled Systems of Partial Differential Equations
  • Chapter 22 - Time Semidiscretization and Weak Formulations for Initial Value/Boundary Value Problems of Advection-Diffusion-Reaction Type
  • Chapter 23 - Finite Element Approximations of Boundary Value Problems of Advection-Diffusion-Reaction Type
  • Chapter 24 - Finite Element Approximations of Initial Value/Boundary Value Problems of Advection-Diffusion-Reaction Type
  • Chapter 25 - Finite Element Approximation of a Unified Model for Linear Elastic Materials Part 7: Simulation Examples and Clinical Applications. Chapter 26 - Ion Dynamics in Cellular Membranes
  • Chapter 27 - Interaction Between Hemodynamics and Biomechanics in Ocular Perfusion Part 8: Examples, Exercises, and Projects. Chapter 28 - Coding of Examples Using Matlab Scripts
  • Chapter 29 - Matlab Functions for Algorithm Implementation
  • Chapter 30 - Homework: Exercises and Projects
  • Appendix A - Elements of Differential Geometry and Balance Laws in Curvilinear Coordinates
  • Bibliography
  • Index.

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