Patients undergoing limb lengthening with circular fixators often have
rotational deformities requiring correction as well. At the end of le
ngthening, special rotation constructs are added to the Ilizarov frame
to correct the rotational deformity. Unfortunately, the bone is usual
ly eccentrically positioned in the rings, leading to secondary transla
tional deformities after derotation. A trigonometric equation can pred
ict the amount of inadvertent translation (t) that occurs with a given
amount of derotation. Factors in this equation include the distance f
rom the center of the ring to the outer edge of bone (r) and the amoun
t of planned derotation (theta): t = (r sin theta)/sin (90 - theta/2).
This sinusoidal function for derotation angles of less than 45 degree
s can be approximated as a simple equation: t = 0.017 theta r. Armed w
ith this information, the surgeon may calculate how much translation w
ill be induced by the derotation maneuver. If the amount of predicted
translation is deemed significant, then a more complex derotation fram
e with outriggers can be constructed to change the center of rotation
to the middle of the eccentric bone. Alternatively, the translation in
duced by rotation can later be corrected with a translation construct.