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This paper would use the thermal wave model of bioheat transfer to analyze the thermal response in a perfused tissue subjected to a spatial heating that heat flux will decay exponentially with the distance from the heating surface. A modified discretization scheme based on the Laplace transform is proposed to solve the present problem. In analysis process, the surface convection effect is taken into account. The effects of perfusion rate and relaxation time on the behavior of bioheat transfer are discussed.