A system for recommending a target location for a medical device relative to a target anatomical feature, the system comprising:
- a medical device including a balloon having complex geometry, a centroid, a first navigation electrode, a second navigation electrode, and a longitudinal axis, the balloon being disposed between the first navigation electrode and the second navigation electrode;
- a navigation system in communication with the first navigation electrode and the second navigation electrode, the navigation system including a plurality of surface electrodes in communication with the first navigation electrode and the second navigation electrode, a display, and a processing unit having processing circuitry configured to, during use:
- define a plane that approximates a surface of the target anatomical feature;
- define a centroid of the target anatomical feature and a boundary of the target anatomical feature;
- define a vector that is normal to the plane and extends away from the centroid of the target anatomical feature;
- determine a first target location for the balloon;
- recommend a second target location for the first navigation electrode and recommend a third target location for the second navigation electrode;
- and
- display on the display a first graphical indicator for the second target location for the first navigation electrode, a second graphical indicator for the third target location for the second navigation electrode, and a line corresponding to the vector,
- the recommended target location for each of the first and second navigation electrode being displayed on the display before beginning at least one of a treatment phase and a mapping phase,
- the processing circuitry being configured to determine the first target location in three dimensions according to a first equation:
- [
- x
- b
- y
- b
- z
- b
- ]
- =
- [
- x
- 0
- y
- 0
- z
- 0
- ]
- +
- d
-
- [
- a
- b
- c
- ]
- where d is a distance between the centroid of the balloon and the centroid of the target anatomical feature calculated according to a second equation:
- d
- =
- r
- b
-
- cos
-
- (
- sin
- -
- 1
-
- (
- r
- os
- ,
- max
- r
- b
- )
- )
- where ros,max is a distance between the centroid of the target anatomical feature and the boundary of the anatomical feature and rb is a distance between the centroid of the balloon and the boundary of the anatomical feature,
- the processing circuitry being configured to recommend the second target location in three dimensions according to a third equation:
- e
- d
- =
- [
- x
- d
- y
- d
- z
- d
- ]
- =
- [
- x
- b
- y
- b
- z
- b
- ]
- -
- l
- d
-
- [
- a
- b
- c
- ]
- and recommend the third target location in three dimensions according to a fourth equation:
- e
- p
- =
- [
- x
- p
- y
- p
- z
- p
- ]
- =
- [
- x
- b
- y
- b
- z
- b
- ]
- +
- l
- p
-
- [
- a
- b
- c
- ]
- where ld is a distance between the centroid of the balloon and the first navigation electrode and lp is a distance between the centroid of the balloon and the second navigation electrode.