|
|
 |
 |
|
| |
 |
| |
| Coronary
bridgings |
| Numerical
method |
| |
| The model
of bridging used is shown on fig. 19. Dimensions are anatomical
: the diameter D (3mm) of the graft was chosen the same as the
one of the receiving coronary artery. For an angle of insertion
of bridging (beta=45°) and a fixed degree of stenosis severity
(75%), the characteristics of the flow are studied for various
distances of bridging and of flows distributions. |
| |
 |
 |
| |
| Geometry
and netting of the anastomosis. |
The numerical simulations are based on models of the finite
elements (N3S) type. The flow, three-dimensional and physiological,
is considered as laminar, and the fluid, of same viscosity as
blood, as uncompressible, Newtonian and isothermal. The intake
flows, simulated both numerically and experimentally come from
in vivo recordings done by Dr Dupouy on patients who had a coronary
bridging during the week before the measure. The eventual phase-shift
of the two intake flows was put into light : RCA systolic coronary
debt and diastolic flow in the IMA graft. A typical coronary
flow (Berne and Levy, 1967) was also modeled for various coronary/graft
flow distributions and total occlusion.
|
  |
| Intravascular
Doppler probe and in vivo velocities recordings. |
In any case, the frequency parameter is ?=4.9, and the maximum
Reynolds number ReMAX ranges from 24.7 to 162.7, for the receiving
artery, and between 97.4 and 295, for the graft. |
 |
| Human
physiological flows : LAD (former interventricular coronary),
RCA (right coronary), IMA (mammary intern artery). |
Using a decomposition in Fourier Series of the flow and an analytical
solution of Navier-Stokes equations for a periodic flow in a
straight duct of constant section, the intake conditions are
implemented as a velocities profile. The rigid and non-porous
linings are submitted to grip conditions. On exhaust, a condition
of zero traction is applied. The period (T=0.8s) is divided
in 3200 instants, ie Dt=2.5e-4 s. |
| |
|
|
| |
|
|
|