In this paper we have investigated
analytically optimal distribution of time dependent heating power
Q2(
t)(
W/
m2) in a sys
tem, described by bio-heat equation in a multilayered tissue, consisting of skin, fat, muscle and tumor layers, so as to attain a beneficial desired
temperature
蠂鈦?/em> across the entire length of the tumor. The desired
temperature of the tumor is achieved at the end of time of operation of the process when the surface cooling
temperature is taken as constant. The spatial heating power per unit volume Q
1(
x,t)(
W/
m3) is constructed according to the well known Beer's Law [1], given by,
Q1(
x,t) =
尾e鈭?#xA0;尾xQ2(
t) when
尾 is scattering coefficient.
The methodology adopted here is the usual 鈥楳aximal Principal鈥?with a suitably constructed 鈥楬amiltonian鈥?followed by the use of a variant of the finite difference method [2].
The temperature of the tissue against its length at different total times of operation of the process due to calculated distribution of heating power is numerically evaluated for investigation of the desired rise of temperature of the tumor.