SYSTEM AND METHOD FOR ESTIMATING A TREATMENT REGION FOR A MEDICAL TREATMENT DEVICE
A medical system and method for estimating a treatment region for a medical treatment device is provided. The system includes a memory; a processor coupled to the memory; and a treatment control module stored in the memory and executable by the processor. The treatment control module generates an estimated treatment region which is an estimate of a treatment region which would have been derived as a result of a numerical model analysis such as a finite element analysis. Advantageously, the estimated treatment region is generated using a fraction of the time it takes to generate the region using the numerical model analysis.
1 . A system for estimating a treatment region for a medical treatment device that applies treatment energy through a plurality of electrodes defining a treatment region, the system comprising:
a memory;
a display device;
a processor coupled to the memory and the display device; and
a treatment control module stored in the memory and executable by the processor, the treatment control module adapted to generate an estimated treatment region for display in the display device, the estimated treatment region being an estimate of a treatment region which is derived using a numerical model analysis.
2 . The system of claim 1 , wherein the treatment control module generates the estimated treatment region using a Cassini oval equation.
3 . The system of claim 2 , wherein the treatment control module generates the estimated treatment region using the following Cassini oval equation or its equivalent Cartesian equation:
r 2 =a 2 cos(2*theta)+/−sqrt( b 4 −a 4 sin 2 (2*theta))
wherein a is the distance from the origin to each electrode and b is a constant which is dependent on a voltage applied between a pair of electrodes.
4 . The system of claim 3 , wherein the treatment control module generates a boundary contour of the treatment region by determining the radius r for a plurality of angles.
5 . The system of claim 2 , wherein the constant of the Cassini oval equation is generated using the following formula:
b
2
=
[
V
[
log
(
a
)
K
1
+
K2
]
(
A
K
3
)
]
2
wherein:
a is a distance from the origin to each electrode;
K1, K2 and K3 are constants;
V is a voltage applied between a pair of electrodes;
A is an electric field density required for treatment; and
log(a) is a logarithm of a to any base.
6 . The system of claim 1 , wherein the treatment control module generates the estimated treatment region using the following equation:
E
=
C
(
1
r
_
-
r
1
_
+
1
r
_
-
r
2
_
)
wherein:
E is an electric field density at a selected point;
C is a constant which is dependent on a voltage applied between a pair of electrodes;
| r − r1 | is a distance between one electrode of the electrode pair and the selected point; and
| r − r2 | is a distance between the other electrode of the electrode pair and the selected point.
7 . The system of claim 6 , wherein the treatment control module generates C using the following equation:
Vo
C
1
*
log
(
d
)
wherein:
Vo is a voltage applied between a pair of electrodes;
C1 is a constant; and
d is a distance between the pair of electrodes.
8 . The system of claim 7 , wherein the treatment control module generates C using the following equation:
Vo
C
1
*
log
(
d
/
a
)
wherein a is a diameter of the electrode.
9 . The system of claim 1 , wherein the treatment control module generates the treatment region by interpolating from a data table containing a plurality of predetermined treatment regions.
10 . The system of claim 1 , wherein a pair of electrodes defines a treatment zone and the treatment control module generates the estimated treatment region by generating an estimated treatment zone for each pair of electrodes and combining the estimated treatment zones for display in the display device.
11 . The system of claim 1 , wherein a pair of electrodes defines an estimated treatment zone and the treatment control module generates the estimated treatment region in three dimensions by generating an estimated two-dimensional treatment zone for each pair of electrodes, generating an estimated three dimensional treatment zone for the each pair of electrodes based on the two-dimensional treatment zone and combining the estimated three-dimensional treatment zones for display in the display device.
12 . A system for estimating a treatment region for an electroporation medical treatment device that applies irreversible electroporation (IRE) pulses through a plurality of electrodes defining a treatment region, the system comprising:
a memory;
a display device;
a processor coupled to the memory and the display device; and
a treatment control module stored in the memory and executable by the processor, the treatment control module adapted to:
generate an estimated treatment region based on positions of the electrodes and an electric field density; and
display the generated region and positions of the electrodes in the display device, the generated treatment region being an estimate of a treatment region which is derived using a numerical model analysis.
13 . The system of claim 12 , wherein the treatment control module generates the estimated treatment region using a Cassini oval equation.
14 . The system of claim 13 , wherein the treatment control module generates the estimated treatment region using the following Cassini oval equation or its equivalent Cartesian equation:
r 2 =a 2 cos(2*theta)+/−sqrt( b 4 −a 4 sin 2 (2*theta))
wherein a is the distance from the origin to each electrode and b is a constant which is dependent on a voltage applied between a pair of electrodes.
15 . The system of claim 14 , wherein the treatment control module generates a boundary contour of the treatment region by determining the radius r for a plurality of angles.
16 . The system of claim 13 , wherein the constant of the Cassini oval equation is generated using the following formula:
b
2
=
[
V
[
log
(
a
)
K
1
+
K
2
]
(
A
K
3
)
]
2
wherein:
a is a distance from the origin to each electrode;
K1, K2 and K3 are constants;
V is a voltage applied between a pair of electrodes;
A is an electric field density required for treatment; and
log(a) is a logarithm of a to any base.
17 . The system of claim 12 , wherein the treatment control module generates the estimated treatment region using the following equation:
E
=
C
(
1
r
_
-
r
1
_
+
1
r
_
-
r
2
_
)
wherein:
E is an electric field density at a selected point;
C is a constant which is dependent on a voltage applied between a pair of electrodes;
| r − r1 | is a distance between one electrode of the electrode pair and the selected point; and
| r − r2 | is a distance between the other electrode of the electrode pair and the selected point.
18 . The system of claim 17 , wherein the treatment control module generates C using the following equation:
Vo
C
1
*
log
(
d
)
wherein:
Vo is a voltage applied between a pair of electrodes;
C1 is a constant; and
d is a distance between the pair of electrodes.
19 . The system of claim 18 , wherein the treatment control module generates C using the following equation:
Vo
C
1
*
log
(
d
/
a
)
wherein a is a diameter of the electrode.
20 . The system of claim 12 , wherein the treatment control module generates the treatment region by interpolating from a data table containing a plurality of predetermined treatment regions.
21 . The system of claim 12 , wherein a pair of electrodes defines a treatment zone and the treatment control module generates the estimated treatment region by generating an estimated treatment zone for each pair of electrodes and combining the estimated treatment zones for display in the display device.
22 . The system of claim 12 , wherein a pair of electrodes defines an estimated treatment zone and the treatment control module generates the estimated treatment region in three dimensions by generating an estimated two-dimensional treatment zone for each pair of electrodes, generating an estimated three dimensional treatment zone for the each pair of electrodes based on the two-dimensional treatment zone and combining the estimated three-dimensional treatment zones for display in the display device.
23 . A method of estimating a treatment region for a medical treatment device that applies treatment energy through a plurality of electrodes defining a treatment region, the method comprising:
receiving positions of the plurality of electrodes;
generating an estimated treatment region based on the received electrode positions, the estimated treatment region being an estimate of a treatment region which is derived using a numerical model analysis; and
graphically displaying the generated treatment region in a display device.
24 . The method of claim 23 , wherein the step of generating includes generating the estimated treatment region using a Cassini oval equation.
25 . The method of claim 24 , wherein the step of generating includes generating the estimated treatment region using the following Cassini oval equation or its equivalent Cartesian equation:
r 2 =a 2 cos(2*theta)+/−sqrt( b 4 −a 4 sin 2 (2*theta))
wherein a is the distance from the origin to each electrode and b is a constant which is dependent on a voltage applied between a pair of electrodes.
26 . The method of claim 25 , wherein the step of generating includes generating a boundary contour of the treatment region by determining the radius r for a plurality of angles.
27 . The method of claim 24 , wherein the step of generating includes generating the constant of the Cassini oval equation using the following formula:
b
2
=
[
V
[
log
(
a
)
K
1
+
K2
]
(
A
K
3
)
]
2
wherein:
a is a distance from the origin to each electrode;
K1, K2 and K3 are constants;
V is a voltage applied between a pair of electrodes;
A is an electric field density required for treatment; and
log(a) is a logarithm of a to any base.
28 . The method of claim 23 , wherein the step of generating includes generating the estimated treatment region using the following equation:
E
=
C
(
1
r
_
-
r
1
_
+
1
r
_
-
r
2
_
)
wherein:
E is an electric field density at a selected point;
C is a constant which is dependent on a voltage applied between a pair of electrodes;
| r − r1 | is a distance between one electrode of the electrode pair and the selected point; and
| r − r2 | is a distance between the other electrode of the electrode pair and the selected point.
29 . The method of claim 28 , wherein the step of generating includes generating C using the following equation:
Vo
C
1
*
log
(
d
)
wherein:
Vo is a voltage applied between a pair of electrodes;
C1 is a constant; and
d is a distance between the pair of electrodes.
30 . The method of claim 29 , wherein the step of generating includes generating C using the following equation:
Vo
C
1
*
log
(
d
/
a
)
wherein a is a diameter of the electrode.
31 . The method of claim 23 , wherein the step of generating includes generating the treatment region by interpolating from a data table containing a plurality of predetermined treatment regions.
32 . The method of claim 23 , wherein a pair of electrodes defines a treatment zone and the step of generating includes generating the estimated treatment region by generating an estimated treatment zone for each pair of electrodes and combining the estimated treatment zones for display in the display device.
33 . The method of claim 23 , wherein a pair of electrodes defines an estimated treatment zone and the step of generating includes:
generating an estimated two-dimensional treatment zone for each pair of electrodes;
generating an estimated three dimensional treatment zone for the each pair of electrodes based on the two-dimensional treatment zone; and
combining the estimated three-dimensional treatment zones to generate a three dimensional estimated treatment region.