SYSTEMS AND METHODS FOR SIMULATING BRAIDED STENT DEPLOYMENTS
Disclosed are methods and systems which can include a mathematical algorithm with software implementation and web deployment for use by a physician to plan treatment for deploying a braided stent in the neurovasculature of a patient. As the stent is deployed in a blood vessel, the crucial position of its proximal end is nonlinearly dependent on vessel diameter which typically varies in an irregular way along the a priori unknown length of the deployment. The systems and methods compute deployment path and deployed diameter along the path, allowing physicians in real-time to experiment with and visualize deployments for any combination of stent size and distal position.
1 . A method for real-time sizing of flow diverters for cerebral aneurysm treatment, the method comprising:
providing an image segmentation of a surface of a blood vessel network,
initializing a centerline x(s) of a vessel in the blood vessel network and a maximum inscribed spherical diameter D(s) of the vessel along the centerline x(s);
determining a modified x(s) by,
smoothing x(s) and D(s) based at least in part on a cubic spline,
identifying one or more bulge segments along x(s), and
replacing each of the one or more bulge segments with a direct path segment; and
determining a modified D(s) based on one or more of a rate and a limit.
2 . The method of claim 1 , further comprising determining a length for the flow diverter based at least in part on the modified x(s).
3 . The method of claim 1 , further comprising determining a length for the flow diverter based at least in part on the equation
L
0
=
∫
0
S
sin
(
β
0
)
1
-
(
D
(
s
)
cos
(
β
0
)
/
D
0
)
2
ds
.
4 . The method of claim 1 , further comprising determining a change in the length based at least in part on a push force.
5 . The method of claim 1 , further comprising determining a ratio of a cross-sectional area of the flow diverter to a cross-sectional area of the vessel at each point along the modified x(s).
6 . The method of claim 1 , wherein the direct path segment is a more direct smooth path which is still unaffected by the vessel.
7 . The method of claim 1 , wherein the direct path segment is a more likely path that will be followed by the flow diverter.
8 . The method of claim 1 , further comprising determining a pore density of a surface of the flow diverter.
9 . A system for real-time sizing of flow diverters for cerebral aneurysm treatment, the system comprising:
one or more processors configured to:
provide an image segmentation of a surface of a blood vessel network,
initialize a centerline x(s) of a vessel in the blood vessel network and a maximum inscribed spherical diameter D(s) of the vessel along the centerline x(s);
determine a modified x(s) by,
smoothing x(s) and D(s) based at least in part on a cubic spline,
identifying one or more bulge segments along x(s), and
replacing each of the one or more bulge segments with a direct path segment; and
determine a modified D(s) based on one or more of a rate and a limit.
10 . The system of claim 9 , wherein the one or more processors is further configured to determine a length for the flow diverter based at least in part on the modified x(s).
11 . The system of claim 9 , wherein the one or more processors is further configured to determine a length for the flow diverter based at least in part on the equation
L
0
=
∫
0
S
sin
(
β
0
)
1
-
(
D
(
s
)
cos
(
β
0
)
/
D
0
)
2
ds
.
12 . The system of claim 9 , wherein the one or more processors is further configured to determine a change in the length based at least in part on a push force.
13 . The system of claim 9 , wherein the one or more processors is further configured to determine a ratio of a cross-sectional area of the flow diverter to a cross-sectional area of the vessel at each point along the modified x(s).
14 . The system of claim 9 , wherein the direct path segment is a more direct smooth path which is still unaffected by the vessel.
15 . The system of claim 9 , wherein the direct path segment is a more likely path that will be followed by the flow diverter.
16 . The system of claim 9 , wherein the one or more processors is further configured to determine a pore density of a surface of the flow diverter.
17 . A non-transitory computer readable storage medium having stored thereon instructions that, when executed, cause a computing device to:
receive an image segmentation of a surface of a blood vessel network,
initialize a centerline x(s) of a vessel in the blood vessel network and a maximum inscribed spherical diameter D(s) of the vessel along the centerline x(s);
determine a modified x(s) by,
smoothing x(s) and D(s) based at least in part on a cubic spline,
identifying one or more bulge segments along x(s), and
replacing each of the one or more bulge segments with a direct path segment; and
determine a modified D(s) based on one or more of a rate and a limit.
18 . The non-transitory computer readable storage medium of claim 17 , wherein the instructions, when executed, cause the at least one computing device to determine a length for the flow diverter based at least in part on the modified x(s).
19 . The non-transitory computer readable storage medium of claim 17 , wherein the instructions, when executed, cause the at least one computing device to determine a length for the flow diverter based at least in part on the equation
L
0
=
∫
0
S
sin
(
β
0
)
1
-
(
D
(
s
)
cos
(
β
0
)
/
D
0
)
2
ds
.
20 . The non-transitory computer readable storage medium of claim 17 , wherein the instructions, when executed, cause the at least one computing device to determine a change in the length based at least in part on a push force.
21 . A method for real-time sizing of flow diverters for cerebral aneurysm treatment, the method comprising:
providing an image segmentation of a surface of a blood vessel network;
initializing a centerline x(s) of a vessel in the blood vessel network and a maximum inscribed predefined geometric shape D(s) of the vessel along the centerline x(s);
determining a modified x(s) by,
smoothing x(s) and D(s),
identifying one or more bulge segments along x(s), and
replacing each of the one or more bulge segments with a direct path segment; and
determining a modified D(s).
22 . A system for real-time sizing of flow diverters for cerebral aneurysm treatment, the system comprising:
one or more processors configured to:
provide an image segmentation of a surface of a blood vessel network,
initializing a centerline x(s) of a vessel in the blood vessel network and a maximum inscribed predefined geometric shape D(s) of the vessel along the centerline x(s);
determining a modified x(s) by,
smoothing x(s) and D(s),
identifying one or more bulge segments along x(s), and
replacing each of the one or more bulge segments with a direct path segment; and
determining a modified D(s).