Cardiovascular Mathematics

1. Physiology and pathology of the cardiovascular system: A physical perspective
Marc Thiriet, Kim H. Parker

2. Basic mathematical models and motivations
Luca Formaggia, Karl Perktold, Alfio Quarteroni

3. The derivation of the equations for fluids and structure
Miguel A. Fernández, Luca Formaggia, Jean-Frédéric Gerbeau, Alfio Quarteroni

4. From image data to computational domains
Luca Antiga, Joaquim Peiró, David A. Steinman

5. Geometry and flow
Denis Doorly, Spencer Sherwin

6. Rheological models for blood
Anne M. Robertson, Adélia Sequeira, Robert G. Owens

7. Mathematical models of mass transfer in the vascular walls
Karl Perktold, Martin Prosi, Paolo Zunino

8. Analysis of coupled models for fluid-structure interaction of internal flows
Yvon Maday

9. Algorithms for fluid-structure interaction problems
Miguel A. Fernández, Jean-Frédéric Gerbeau

10. Reduced models of the cardiovascular system
Joaquim Peiró, Alessandro Veneziani

11. Multiscale models of the vascular system
Luca Formaggia, Alfio Quarteroni, Alessandro Veneziani

12. Applications and test cases
J. Alastruey Arimon, Denis Doorly, Sergio Giordana, Joaquim Peiró, Spencer Sherwin

Keywords: Mathematics, Applications of Mathematics, Cardiology, Mathematical Biology in General, Physiological, Cellular and Medical Topics, Mathematical Modeling and Industrial Mathematics, Partial Differential Equations