CARDIOVASCULAR ENGINEERING

CARDIOVASCULAR
ENGINEERING

Journal for Extracorporeal Circulation, Assist Devices,Transplantation and Artificial Organs

Volume 2, 1997, No 4



Arterial Hemodynamics During Extracorporal Circulation - A High Time Resolution Mathematical Model

R. Bauemschmitt, S. Schulz, J. Albers, A. Riesenberg, A. Schwarzhaupt, U. Kiencke, C. F. Vahl, S. Hagl

Abstract:
The regulation of extracorporal circulation (ECC) is predominantly based on the intuition of perfusionists and surgeons. Improvement of management can be achieved by integration of computer- and sensor-aided technologies, which have to be based on mathematical models of the effects of ECC. The purpose of the following study was to establish a computer-generated model of the hemodynamic effects of pulsatile extracorporal perfusion describing flow and pressure parameters in the body for any given input flow patterns. The human arterial tree was delineated according to a 128-branch model encompassing bifurcations and linear physical properties of the arterial walls. The distribution of flow and pressure waves was calculated based on a refined 3-element "windkessel" model. Autoregulatory mechanisms of brain and kidneys were implemented. By providing a simulated",pump-generated" flow curve as the input signal to the system, the model was able to create and display flow and pressure curves at a high time resolution in each part of the systemic circulation including reflection phenomena throughout any observation period chosen. The hemodynamic effects of different pump-flow pattems, age, variations in hematocrit, hypothermia and occlusion of arterial branches, like the renal artery, could be simulated. In an attempt to get closer to a mathematically based regulation of heart-lung machines, this model of computer generated extracorporeal circulation provides an initial step. Ongoing research is required for implementation of metabolic conditions and continuous approximation of the model to the real physiologic or pathologic situation.

Keywords:
ECC - hemodynamics - simulation - mathematical model

Address for Correspondence:

Robert Bauemschmitt
M.D.
Department of Cardiac Surgery
University of Heidelberg
Irn Neuenheirner Feld 110
D-69120 Heidelberg
Gerrnany.

Reference:
(CVE. 1997; 2 (4): 236-243)


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