Hemodynamic models for education in physiology

By application of case-based learning (CBL) various effects can be analyzed and demonstrated more easily. In the area of medicine one rapidly reaches boundaries in the visualization of complex information [J.L.M. Poiseuille, Recherches experimentales sur le mouvement des liquids dans les tubes de tres petits diametres, Memoires Savant des Etrangers 9 (1846) 433-544]. Learning and teaching without recourse to patients is difficult. Consequently the use of models and simulations are useful. In this paper the authors report about experiences gained with HAEMOSIM, a web-based project in medical education. The goal of this project is the design and development of interactive simulations in local hemodynamics by the application of mathematical-physiological models. These include the modelling of arterial blood flow dependent on the pressure gradient, radius and bifurcations, as well as blood flow profiles in dependency of viscosity, density and radius and finally pulse-wave dynamics with regard to local and global compliance.

[1]  Timothy J. Pedley,et al.  The fluid mechanics of large blood vessels , 1980 .

[2]  J. Womersley Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known , 1955, The Journal of physiology.

[3]  Wen-An Yong,et al.  Rigorous Navier–Stokes limit of the lattice Boltzmann equation , 2003 .

[4]  D. F. Young,et al.  Computer simulation of arterial flow with applications to arterial and aortic stenoses. , 1992, Journal of biomechanics.

[5]  D. Wolf-Gladrow Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction , 2000 .

[6]  L. Luo,et al.  Lattice Boltzmann Model for the Incompressible Navier–Stokes Equation , 1997 .

[7]  R. D. Latham,et al.  Regional wave travel and reflections along the human aorta: a study with six simultaneous micromanometric pressures. , 1985, Circulation.

[8]  D. A. Mcdonald,et al.  The relation of pulsatile pressure to flow in arteries , 1955, The Journal of physiology.

[9]  L. Brush,et al.  McDonaldʼs Blood Flow in Arteries , 1991 .

[10]  Matthaeus,et al.  Lattice Boltzmann model for simulation of magnetohydrodynamics. , 1991, Physical review letters.

[11]  P. Dobrin,et al.  Mechanical properties of arteries , 1978, Physiological reviews.

[12]  Peter M. A. Sloot,et al.  Unsteady flow in a 2D elastic tube with the LBGK method , 2004, Future Gener. Comput. Syst..

[13]  P. Bhatnagar,et al.  A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems , 1954 .

[14]  Zhifang Lin,et al.  Lattice Boltzmann method for simulating the viscous flow in large distensible blood vessels. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  W. Nichols McDonald's Blood Flow in Arteries , 1996 .