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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:
Acceso en línea:Texto completo

MARC

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100 1 |a Sacco, Riccardo,  |e author. 
245 1 2 |a A comprehensive physically based approach to modeling in bioengineering and life sciences /  |c Riccardo Sacco, Giovanna Guidoboni, Aurelio Giancarlo Mauri. 
250 |a First edition. 
264 1 |a London :  |b Academic Press,  |c [2019] 
264 4 |c �2019 
300 |a 1 online resource 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
504 |a Includes bibliographical references and index. 
505 0 0 |g Part 1: Mathematical, Computational, and Physical Foundations.  |t Chapter 1 - Elements of Mathematical Modeling --  |t Chapter 2 - Elements of Mathematical Methods --  |t Chapter 3 - Elements of Computational Methods --  |t Chapter 4 - Elements of Physics  |g Part 2: Balance Laws.  |t Chapter 5 - The Rational Continuum Mechanics Approach to Matter in Motion --  |t Chapter 6 - Balance Laws in Integral Form --  |t Chapter 7 - Balance Laws in Local Form --  |t Chapter 8 - Continuum Approach for Multicomponent Mixtures  |g Part 3: Constitutive Relations.  |t Chapter 9 - Preliminary Considerations on Constitutive Modeling --  |t Chapter 10 - Constitutive Relations for Fluids --  |t Chapter 11 - Constitutive Relations for Solids --  |t Chapter 12 - Constitutive Relations for Multicomponent Mixtures --  |t Chapter 13 - Constitutive Relations in Electromagnetism and Ion Electrodynamics  |g Part 4: Model Reduction of System Complexity.  |t Chapter 14 - Reduction of the Maxwell partial differential system --  |t Chapter 15 - Electric Analogy to Fluid Flow  |g Part 5: Mathematical Models of Basic Biological Units and Complex Systems.  |t Chapter 16 - Cellular Components and Functions: A Brief Overview --  |t Chapter 17 - Mathematical Modeling of Cellular Electric Activity --  |t Chapter 18 - Mathematical Modeling of Electric Propagation Along Nerve Fibers --  |t Chapter 19 - Differential Models in Cellular Functions  |g Part 6: Advanced Mathematical and Computational Methods.  |t Chapter 20 - Functional Spaces and Functional Inequalities --  |t Chapter 21 - Functional Iterations for Nonlinear Coupled Systems of Partial Differential Equations --  |t Chapter 22 - Time Semidiscretization and Weak Formulations for Initial Value/Boundary Value Problems of Advection-Diffusion-Reaction Type --  |t Chapter 23 - Finite Element Approximations of Boundary Value Problems of Advection-Diffusion-Reaction Type --  |t Chapter 24 - Finite Element Approximations of Initial Value/Boundary Value Problems of Advection-Diffusion-Reaction Type --  |t Chapter 25 - Finite Element Approximation of a Unified Model for Linear Elastic Materials  |g Part 7: Simulation Examples and Clinical Applications.  |t Chapter 26 - Ion Dynamics in Cellular Membranes --  |t Chapter 27 - Interaction Between Hemodynamics and Biomechanics in Ocular Perfusion  |g Part 8: Examples, Exercises, and Projects.  |t Chapter 28 - Coding of Examples Using Matlab Scripts --  |t Chapter 29 - Matlab Functions for Algorithm Implementation --  |t Chapter 30 - Homework: Exercises and Projects --  |t Appendix A - Elements of Differential Geometry and Balance Laws in Curvilinear Coordinates --  |t Bibliography --  |t Index. 
588 0 |a Vendor-supplied metadata. 
520 |a 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. 
650 0 |a Bioengineering  |x Models. 
650 0 |a Life sciences  |x Models. 
650 0 |a Mathematical models. 
650 0 |a Life sciences. 
650 1 2 |a Models, Theoretical  |0 (DNLM)D008962 
650 2 2 |a Bioengineering  |0 (DNLM)D057005 
650 2 2 |a Biological Science Disciplines  |0 (DNLM)D001690 
650 6 |a Mod�eles math�ematiques.  |0 (CaQQLa)201-0015060 
650 6 |a Sciences de la vie.  |0 (CaQQLa)201-0078730 
650 7 |a mathematical models.  |2 aat  |0 (CStmoGRI)aat300065075 
650 7 |a biological sciences.  |2 aat  |0 (CStmoGRI)aat300054464 
650 7 |a Life sciences  |2 fast  |0 (OCoLC)fst00998323 
650 7 |a Mathematical models  |2 fast  |0 (OCoLC)fst01012085 
700 1 |a Guidoboni, Giovanna,  |e author. 
700 1 |a Mauri, Aurelio Giancarlo,  |e author. 
776 0 8 |i Print version:  |z 9780128125182 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780128125182  |z Texto completo