Effects of Memory Dependent Derivative of Bio-heat Model in Skin Tissue exposed to Laser Radiation

Abstract

INTRODUCTION: Thermal processes are the essence of living organisms and are necessary for understanding life. The study of Transfer of heat in tissues is known as Bioheat transfer. Many techniques are developed for the thermal treatment of skin and other disease such as skin cancer, skin burns and injured skin tissue with laser. The tissue is inhomogeneous and at times anisotropic with complex thermal properties. Moreover, there may be skin tissue damage when irradiated with a laser beam.

OBJECTIVES: In this research a novel one-dimensional (1-D) bioheat model has been used with memory-dependent derivative (MDD) in Pennes’ bioheat transfer equation due to laser radiation and the thermal damage in tissue caused due to laser heating has been examined.

METHODS: Bioheat transfer model has been used with memory-dependent derivative (MDD) in Pennes’ bioheat transfer equation. The problem is solved using Laplace transform technique.

RESULTS: The temperature and thermal damage in the skin exposed to heating with laser radiation is calculated and obtained in physical form. The thermal reaction of skin tissues during laser radiation is studied under memory-dependent derivative (MDD) in Pennes’ bioheat transfer equation.

CONCLUSION: Analyzed a novel bioheat mathematical model on the basis of MDD involving time-delay parameter 𝜒𝜒 for the Pennes’ bioheat transfer equation and applied to examine the thermal properties of the skin tissue for burns caused due to laser radiations. The thermal damages can be measured in a better way with the MDD model. The blood perfusion prevent the tissue damage by developing the cooling function. Effect of memory dependent derivatives and time delay parameter are represented graphically and analysed.