THE INSTITUTE OF MATHEMATICS
AND ITS APPLICATIONS

Cardiovascular Flow Modelling and Measurement with Application to Clinical Medicine

Editors: S.G. Sajjadi, University of Salford, G.B. Nash University of Birmingham, and M.W. Rampling, Imperial College School of Medicine, London

Proceedings of a conference on "Cardiovascular Flow Modelling and Measurement with Application to Clinical Medicine" held in Salford in September 1998.

The cardiovascular system has been the subject of extensive studies by the medical profession and over the years a vast amount of knowledge has been accumulated. In recent times there has been a tremendous attempt to try to study and model the cardiovascular system from the mathematical, fluid mechanical, and rheological point of view. This book is a collection of useful papers on the main research topics in cardiovascular modelling and measurements, that are current at the end of the 1990s. Some of the results presented here show that we can now calculate many non-linear aspects of fluid flow and, most significantly, the turbulence in arteries, bifurcation junctions of the cardiovascular system.

Contents

• Boundary Conditions and the Attenuation of Waves in Deformable Tubes by J.H. Gerrard
• Study of Flow Stability Using Direct Numerical Simulation of the Disturbance Equations by A. Spentzos and D. Drikakis
• Turbulent Flow in an Arterial Stenosis by SG Sajjadi and Y. Feng
• Study of Newtonian and Non-Newtonian Fluid Flow in a Channel with a Moving Indentation by P. Neofitou, D. Drikakis and M.A. Leschziner
• Platelet Deposition in Stagnation Point Flow: An Analytical Study and Computational Simulation by T. David, S. Thomas and P.G. Walker
• Fluid Dynamics in 3-D Models of Cavopulmonary Connection with an Extracardiac Lateral Conduit by F. Migliavacca, M.R. de Leval, G. Dubini, R. Pietrabissa and R. Fumero
• Modelling of Flow Transport in Arteries by D.J. Doorly
• The Application of Computational Fluid Dynamics and Solid Mechanics to Haemodynamics in Arterial Organs and to Related Problems by S.Z. Zhao, M.W. Collins, Q. Long and X.Y. Xu
• Experimental and Computational Modelling of Flow through an Arterial Bypass Graft by C.J. Bates, D. Williams and D.M. O'Doherty
• The Convergence Technique in Numerical Solutions of Coupled Fluid-Wall Problems by S.Z. Zhao, X.Y. Xu, M.W. Collins, A.V. Stanton, A.D. Hughes and S.A. Thom
• Modelling of Cerebral Autoregulation Experiments in Humans by S.K. Kirkham, R.E. Craine and A.A. Birch
• The Numerical Investigation of a Novel Haemodynamic Control Device which Reduces the Development of Occlusive Arterial Intimal Hyperplasia by J.S. Cole, M.A. Gillan, S. Raghunathan, A. McKinley and M.J.G. O'Reilly
• Hemorheology and Hemodynamics: A Complex Approach to the Coronary Circulation and Development of Myocardial Ischemia by K. Toth, G. Kesmarky, L. Habon, G. Vajda, T. Habon and I. Juricskay
• Hemorheological Alterations After Percutaneous Transluminal Coronary Angioplasty by G. Kesmarky, K. Toth, G. Vajda, L. Habon, R. Halmosi, T. Habon and E. Roth
• Adhesive Interaction Between Leukocytes and Platelets at the Vessel Wall by G.B. Nash, C.M. Kirton, P.C.W. Stone and G.E. Rainger
• Rouleaux Formation; its Causes and Consequences by M.W. Rampling

• Characterisation of Monocytes by Filtration of Undiluted Blood by S-A. Evans and A. Cook