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Mathematical Modelling of the Human Cardiovascular System: Data, Numerical Approximation, Clinical Applications

Mathematical Modelling of the Human Cardiovascular System: Data, Numerical Approximation, Clinical Applications

9781108480390
485,04 zł
436,53 zł Zniżka 48,51 zł Brutto
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Opis
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 quanti?cation and the development of reduced-order models that are important when solving problems with high complexity, which would otherwise be out of reach.
Szczegóły produktu
75701
9781108480390
9781108480390

Opis

Rok wydania
2019
Numer wydania
1
Oprawa
twarda
Liczba stron
290
Wymiary (mm)
181.00 x 255.00
Waga (g)
780
  • 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.
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