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Journal of Dermatology Research and Skin Care | Volume 2

May 14-15, 2018 | Montreal, Canada

Spring Dermatology &

Skin Care Expo Conference

he author wants to present a mathematical base

approaches for the simulation of thermal therapy. This

method is useful in surgical procedures for selective removal

of target in the biological multilayered tissues. In practice the

process must be done without overheating the healthy tissue

by controlling a source heating energy power and surface

cooling temperature. One of the objectives of hyperthermia

is to raise the temperature of the skin diseased to a

therapeutic value, and then thermally destroy the disease.

Here, hewants to describe how the practical surgical problem

is modeled by a multilayered optimal control problem for

some biological composite tissues, consisting of skin, fat,

muscle and tumor. Mathematically, we consider bio-heat

transfer equation with practical boundary conditions to

attain the desired temperature at the specific final time. The

microwave, the ultrasound, and the laser are popular power

heating apparatus used to deposite heat for treating the

tumor in the deep biological body. In this approach, the laser

heat source induced by conducting heating probe inserted

at the tumors site. We control the tumor temperature inside

the composite tissue, by controlling the laser heat source

while the heat source is unknown and decomposed in each

preassigned time period discretization. Problems are solved

using strongly continuous semi-groups theory and Laplace

transformation. A solution matches at the adjacent layers

interfaces. Strongly continuous semi-groups theory used

to compute the optimal control functional at the specific

depth inside biological body. Mathematical simulations

for a thermal therapy in the presence of internal tumor

and external laser heat source are given to investigate the

method’s efficiency. The proposed efficient method confirms

both practical and theoretical approaches.

Speaker Biography

Alaeddin Malek is currently working in private practice as a Tarbiat Modares University

Tehran, Iran. He is the author of Over Research Publications, in peer-reviewed journals.

Thermotherapy simulations in composite tissues

Alaeddin Malek

Tarbiat Modares University, Iran