Computational estimation of fluid mechanical benefits from a fluid deflector at the distal end of artificial vascular grafts
Introduction
In vascular bypass surgery, as well as surgery for venous access, autologous vessels are used as far as possible. However, because of occasional lack of autologous material of sufficient quality, artificial grafts are often used as a substitute. Unfortunately, artificial grafts are more prone to occlude postoperatively [1]. Anastomotic designs can be categorized as being either of the end-to-end or the end-to-side type (Fig. 1). The latter is typically employed in vascular bypass surgery as well as in constructions of vascular access grafts, used for hemodialysis. Anastomotic intimal hyperplasia (IH) at the lower anastomosis (Fig. 1) is considered to be one of the principal causes of graft failure. By attaching a vein patch or a vein cuff at the lower anastomosis, the rate of graft patency seems to be improved [2], [3], [4]. The mechanism of the improvement has been suggested to be related to factors such as fluid mechanical adjustments, compliance mismatch, and to the venous material itself [5], [6], [7], [8], [9], [10].
Artificial graft ends that mimic the geometries obtained by the surgical techniques mentioned above have been suggested to significantly improve the patency [11]. However, still there is room for further geometric design improvement [12], [13]. In particular, fluid mechanical effects around the suture line need to be drawn into focus [12], [13], [14]. It is therefore desirable to include protrusions representing the suture line in the geometric model (Fig. 2, Fig. 3, Fig. 4).
IH seems to be closely coupled primarily to low or high wall shear stress (WSS), but also to related measures [15], [16]. A WSS outside the range 0.5–3 Pa is considered closely related to IH, as disclosed by van Tricht et al. [17]. Arteries seem to establish a radius that, under normal conditions, results in a mean WSS in the range 1–2 Pa [18]. Therefore, IH induced by low WSS may be a way for the arteries to restore the local WSS back to the normal range [19], [20]. However, the process of IH stimulated by high WSS most likely receives positive feedback from the increased WSS that follows, which means the process does not end until the site is occluded.
The aim of the present study is to computationally evaluate the idea of redirecting a potentially high WSS away from the suture line by introducing a slight stricture—a fluid deflector (FD)—to shield the suture line from excessive fluid mechanical forces. The design change due to the FD will affect the manufacturing process of the artificial graft, that is, the FD is introduced before the surgical procedure. The result will be increased WSS just proximal to the suture line, within the artificial graft, where intimal hyperplasia is not expected to be stimulated by a high WSS [21].
Section snippets
Model
We model the blood flow using the Navier–Stokes equations for an incompressible fluidwhere denotes the fluid velocity and denotes the pressure at point and time t. The parameters and denote the viscosity and density, respectively. The non-slip condition models the fluid–solid interaction, that is, along the vessel and graft walls.
Blood is complicated to model and displays many non-Newtonian properties. In particular, at low shear
Qualitative behavior
The computations were performed for various anastomotic models, in both 2D and 3D, with pulsatile or constant blood flow. Here, we only discuss results from the steady calculations on grafts with a diameter of 6 mm, using a peak systolic flow of 0.5 m/s, resulting in Reynolds numbers in the range 600–800 . The major conclusion is that the introduction of a FD significantly reduces WSS at the suture margin. In our first example we illustrate the idea of the FD using an end-to-end anastomosis in
Discussion and outlook
Anastomotic intimal hyperplasia (IH) at the lower anastomosis is considered to be a principal cause of artificial vascular graft failure. Hence, efforts have been made to reduce IH. However, it appears that the hemodynamic impact on the suture line has previously been underestimated. Even if a very skilled surgeon would succeed to make an absolutely smooth junction between the graft and the recipient vessel, a protrusion will nevertheless occur at this site after some time (as for instance
Conflict of interest statement
None declared.
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