
280 Image Analysis and Modeling in Ophthalmology
Using numerical methods, boundary conditions are usually of the Neumann type due
to the limited volume being modeled. That is, the normal component of the temperature
derivative is set to zero. In a two-dimensional problem with axial symmetry, it writes:
r
Tr zt
r
z
Tr zt
z
rrR
zzZ
⋅
∂
()
∂
=⋅
∂
()
∂
=
==
==
,,
,,
,
,
0
0
0
15.7.3 Solving the Bioheat Equation
Under certain circumstances (symmetry, homogeneity, etc.), analytical solutions of the
bioheat equation can be found. A review of the solutions in the eld of laser–tissue inter-
actions was published by Roider and Birngruber (1995). Noticeably, a semianalytica ...