نقد و بررسی اجمالیکتاب Mathematical Modelling of the Human Cardiovascular System
by Alfio Quarteroni (Author), Luca Dede’ (Author), Andrea Manzoni (Author), Christian Vergara (Author)
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 quantification and the development of reduced-order models that are important when solving problems with high complexity, which would otherwise be out of reach.
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
Book Description
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.
Product details
- Series: Cambridge Monographs on Applied and Computational Mathematics (Book 33)
- Hardcover: 290 pages
- Publisher: Cambridge University Press; 1 edition (June 27, 2019)
- Language: English
- ISBN-10: 110848039X
- ISBN-13: 978-۱۱۰۸۴۸۰۳۹۰
- Product Dimensions: 7.۱ x 0.7 x 10 inches
- # Mathematics (Books)
نمایش ادامه مطلب
برچسب: تکست بوک خرید کتاب از آمازون خرید کتاب اورجینال خرید کتاب زبان اصلی خرید کتاب زبان اصلی پزشکی خرید کتاب قلب و عروق کتاب Physiology
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