| Chapter 1 | Numerical simulation of arterial pulse propagation using one-dimensional models |
| Introduction;
Governing equations of flow in a deformable vessel; Numerical discretization
of the governing equations; Modelling of a network of vessels: the arterial
tree; Application examples J. Peiró, S.J. Sherwin, K.H. Parker & V. Franke, Imperial College, London L. Formaggia, MOX, Politecnico di Milano, Italy A. Quarteroni, Chaire de Modélisation et Calcul Scientifique, EPFL, Lausanne, Switzerland |
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| Chapter 2 | Elastodynamics of saccular aneurysms: solid-fluid interactions and constitutive behaviours |
| Introduction;
Governing differential equations; Hyperelastic material models; Stability
analyses; Discussion and future needs J.D. Humphrey, Department of Biomedical Engineering, Texas A&M University, USA H.W. Haslach, Jr., Department of Mechanical Engineering, University of Maryland, USA |
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| Chapter 3 | Modelling the reopening of liquid-lined lung airways |
| Introduction;
A model of permeable airway reopening; Lubrication region; Stokes, transition
and film regions; Discussion O.E. Jensen, Centre for Mathematical Medicine, School of Mathematical Sciences, University of Nottingham, UK M.K. Horsburgh, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, UK |
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| Chapter 4 | A finite-volume model of the Guldner ‘Frogger': a training device for skeletal muscle in cardiac assist use, both in training mode and coupled to a ventricular assist device |
| Introduction;
Methods; Results; Discussion C.D Bertram & J.P. Armistead, Graduate School of Biomedical Engineering, University of New South Wales, Sydney, Australia |
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| Chapter 5 | Geometric constraints in the feto-placental circulation: umbilical cord coiling and ductus venosus dilation |
| Introduction;
Coiling of the umbilical cord; Coiling in the umbilical arteries; Coiling
in the umbilical vein; The ductus venosus: a controlling mechanism affecting
foetal Hemodynamics; Towards a unifying description of the foeto-placental
venous Hemodynamics; Conclusion L.J. Myers, Department of Human Biology, University of Cape Town, South Africa C. Guiot, Department of Neuroscience & INFM, University of Torino, Italy |
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| Chapter 6 | An integral formulation for fluid-structure interaction in hemodynamics |
| Introduction;
Mathematical formulation; The boundary integral equation; Numerical solution;
Dynamics of the elastic walls; Fluid-wall interaction; Numerical results;
Conclusions U. Iemma, Dip. di Ingegneria Meccanica e Industriale, Universitá degli Studi Roma Tre, Italy G. Pontrelli, Istituto per le Applicazioni del Calcolo, CNR - Roma, Italy |
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| Chapter 7 | Numerical modelling of blood flow in a stented artery |
| Introduction;
The viscoelasticity of the vessel wall; The wall-fluid coupling; Numerical
method and results; The stent insertion; A perturbative approach; Conclusions G. Pontrelli, Istituto per le Applicazioni del Calcolo, CNR - Roma, Italy G. Pedrizzetti, Dipartimento di Ingegneria Civile, University of Trieste, Italy |
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