Jc. Rewcastle et al., A model for the time-dependent thermal distribution within an iceball surrounding a cryoprobe, PHYS MED BI, 43(12), 1998, pp. 3519-3534
The optimal cooling parameters to maximize cell necrosis in different types
of tissue have yet to be determined. However, a critical isotherm is commo
nly adopted by cryosurgeons as a boundary of lethality for tissue. Locating
this isotherm within an iceball is problematic due to the limitations of M
RI, ultrasound and CT imaging modalities. This paper describes a time-depen
dent two-dimensional axisymmetric model of iceball formation about a single
cryoprobe and extensively compares it with experimental data. Thermal hist
ories for several points around a CRYOprobe(TM) are predicted to high accur
acy (5 degrees C maximum discrepancy). A realistic three-dimensional probe
geometry is specified and cryoprobe temperature may be arbitrarily set as a
function of time in the model. Three-dimensional temperature distributions
within the iceball, predicted by the model at different times, are present
ed. Isotherm locations, as calculated with the infinite cylinder approximat
ion, are compared with those of the model in the most appropriate region of
the iceball. Infinite cylinder approximations are shown to be inaccurate w
hen applied to this commercial probe. Adopting the infinite cylinder approx
imation to locate the critical isotherm is shown to lead the user to an ove
restimate of the volume of target tissue enclosed by this isotherm which ma
y lead to incomplete tumour ablation.