Edition 
First edition. 
Description 
1 online resource 

text txt rdacontent 

computer c rdamedia 

online resource cr rdacarrier 
Bibliography 
Includes bibliographical references and index. 
Contents 
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. 
Note 
Vendorsupplied metadata. 
Summary 
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. 
Subject 
Bioengineering  Models.


Life sciences  Models.


Mathematical models.


Life sciences.


Models, Theoretical 

Bioengineering 

Biological Science Disciplines 

Modèles mathématiques.


Sciences de la vie.


mathematical models.


biological sciences.


Life sciences. (OCoLC)fst00998323


Mathematical models. (OCoLC)fst01012085

Added Author 
Guidoboni, Giovanna, author.


Mauri, Aurelio Giancarlo, author.

Other Form: 
Print version: 9780128125182 
ISBN 
9780128125199 (electronic bk.) 

0128125195 (electronic bk.) 

0128125187 

9780128125182 

9780128125182 
Standard No. 
UKMGB 019477930 
