Mathematical Modelling of the Human Cardiovascular System: Data, Numerical Appro

The Nile on eBay   Mathematical Modelling of the Human Cardiovascular System by Alfio Quarteroni, Andrea Manzoni, Christian Vergara, Luca Dede'

The mathematical modelling of the human cardiovascular system, from patient data to clinical applications, is discussed in this book. It gives researchers an overview of the main differential problems underlying the physiology and pathology of the cardiovascular system, as well as rigorous numerical methods for large-scale computation.

FORMATHardcover LANGUAGEEnglish CONDITIONBrand New Publisher Description

Mathematical and numerical modelling of the human cardiovascular system has attracted remarkable research interest due to its intrinsic mathematical difficulty and the increasing impact of cardiovascular diseases worldwide. This book addresses the two principal components of the cardiovascular system: arterial circulation and heart function. It systematically describes all aspects of the problem, stating the basic physical principles, analysing the associated mathematical models that comprise PDE and ODE systems, reviewing sound and efficient numerical methods for their approximation, and simulating both benchmark problems and clinically inspired problems. Mathematical modelling itself imposes tremendous challenges, due to the amazing complexity of the cardiovascular system and the need for computational methods that are stable, reliable and efficient. The final part is devoted to control and inverse problems, including parameter estimation, uncertainty quantication and the development of reduced-order models that are important when solving problems with high complexity, which would otherwise be out of reach.

Author Biography

Alfio Quarteroni is Professor of Numerical Analysis at Politecnico di Milano. He has authored twenty-five books and over 350 papers in international scientific journals and conference proceedings. He received many awards and honours in recognition of his work, and is a member of the Italian Academy of Science, the European Academy of Science and the Academia Europaea. His research interests include mathematical modelling and its applications. Luca Dedè is Assistant Professor in Numerical Analysis at Politecnico di Milano. His research involves the development of efficient and accurate numerical methods for the approximation of partial differential equations, multiphysics and multiscale problems, and computational fluid dynamics. Andrea Manzoni is Assistant Professor in Numerical Analysis at Politecnico di Milano. His 2012 Ph.D. thesis won one of two ECCOMAS Awards for the best Ph.D. theses in Europe about Computational Methods in Applied Sciences and Engineering. His research interests include the development of reduced order modelling techniques for partial differential equations, uncertainty quantification, PDE-constrained optimization, and computational and statistical inverse problems. Christian Vergara is Associate Professor in Numerical Analysis at Politecnico di Milano. He works on the development of numerical methods for the cardiovascular system, in particular for the fluid-structure interaction problems and the electro-physiology of the ventricles. He has collaborated with hospitals and clinicians to use numerical and computational methods to address several problems of clinical interest.

Table of Contents

Introduction; Part I. Arterial Circulation: 1. Basic facts about quantitative physiology; 2. An insight into vascular data; 3. Modelling blood flow; Part II. Heart Function: 4. Basic facts on quantitative cardiac physiology; 5. An insight into cardiac data; 6. Modelling the heart; Part III. Optimization, Control, Uncertainty and Complexity Reduction: 7. Beyond direct simulation; 8. Control and optimization; 9. Parameter estimation from clinical data; 10. Accounting for uncertainty; 11. Reduced-order modelling; References; Index.

Review

'Overall, there is a nice interplay between the basic biology and physiology needed to understand the model, the pros and cons of different techniques of obtaining clinical data, and the implementation of the numerical methods. Each section includes beautifully colored schematic representations of the cardiovascular system …' Sarah Patterson, Mathematical Association of America

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Addresses the mathematical and numerical modelling of the human cardiovascular system, from patient data to clinical applications.

Review Quote

'Overall, there is a nice interplay between the basic biology and physiology needed to understand the model, the pros and cons of different techniques of obtaining clinical data, and the implementation of the numerical methods. Each section includes beautifully colored schematic representations of the cardiovascular system...' Sarah Patterson, Mathematical Association of America

Promotional "Headline"

Addresses the mathematical and numerical modelling of the human cardiovascular system, from patient data to clinical applications.

Description for Bookstore

The mathematical modelling of the human cardiovascular system, from patient data to clinical applications, is discussed in this book. It gives researchers an overview of the main differential problems underlying the physiology and pathology of the cardiovascular system, as well as rigorous numerical methods for large-scale computation.

Description for Library

The mathematical modelling of the human cardiovascular system, from patient data to clinical applications, is discussed in this book. It gives researchers an overview of the main differential problems underlying the physiology and pathology of the cardiovascular system, as well as rigorous numerical methods for large-scale computation.

Details ISBN110848039X ISBN-10 110848039X ISBN-13 9781108480390 Format Hardcover Author Luca Dede' Publisher Cambridge University Press Year 2019 Imprint Cambridge University Press Place of Publication Cambridge Country of Publication United Kingdom DEWEY 612.1015118 Affiliation Politecnico di Milano Pages 290 Publication Date 2019-05-09 Series Cambridge Monographs on Applied and Computational Mathematics Subtitle Data, Numerical Approximation, Clinical Applications Short Title Mathematical Modelling of the Human Cardiovascular System Language English Series Number 33 UK Release Date 2019-05-09 AU Release Date 2019-05-09 NZ Release Date 2019-05-09 Illustrations Worked examples or Exercises; 4 Halftones, black and white; 39 Line drawings, unspecified; 3 Line drawings, black and white Alternative 9781108616096 Audience Professional & Vocational We've got this

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