Temperature response spatiotemporal correlation model and non-destructive reconstruction of temperature field in laser irradiated biological tissues

Abstract

The biological tissue temperature field monitoring is essential for laser-induced tumor thermotherapy (LITT). Through observable temperature information to reconstruct the temperature field is an important means of obtaining transient temperature fields within tissues. In this work, a new method is proposed to reconstruct the biological tissue temperature field during LITT by means of a temperature response spatiotemporal correlation model. Firstly, based on the bioheat transfer equation, the external description of the spatiotemporal mapping relationship for the heat transfer process in laser irradiated biological tissues is established. Further, through the external description of the spatiotemporal mapping relationship, the temperature response spatiotemporal correlation model in laser irradiated biological tissues is constructed. Afterwards, for the pathological problem of temperature response spatiotemporal correlation model, a construction scheme of temperature response spatiotemporal correlation matrix based on regular optimization technique is established to turn the temperature response spatiotemporal correlation problem into a well-pose problem. Finally, the temperature response spatiotemporal correlation model is used to achieve non-destructive reconstruction of biological tissue temperature field based on rolling optimization. The reliability of the above temperature response spatiotemporal correlation model is indirectly demonstrated by the existing experimental data of laser irradiated biological tissues. Numerical experiment is performed to investigated the effects of laser irradiation form and measurement error on the reconstruction results.