Transient Heat Flux Reconstruction in Multi-Layered Tissue During Hyperthermia

Hyperthermia, a therapeutic method that elevates tissue temperature to eliminate unhealthy tissue directly or in combination with radiotherapy and chemotherapy, is critical for targeting specific tissues while minimizing damage to healthy tissue. Accurate modeling of thermal behavior is essential, as tissue thermal and physical properties significantly influence temperature distribution and treatment efficacy. This study develops an inverse solution to estimate transient surface heat flux in a multi-layered muscle–bone–muscle tissue structure, incorporating temperature-dependent thermal properties for enhanced physiological accuracy. The inverse problem is solved using the Conjugate Gradient Method (CGM) with adjoint formulation, employing simulated temperature data to reconstruct heat flux and determine tissue temperature distributions. In the presence of measurement noise, the root mean square error of heat flux estimation remains below ۶۰ W/m², confirming the method’s robustness and accuracy. Analysis of sensor placement and initial guess further validates the approach’s reliability. Compared to constant-property models, estimating heat flux with temperature-dependent properties is more challenging, yet the proposed method demonstrates stability and effectiveness for biomedical heat transfer applications.

کلیدواژه ها:

Bio-heat conduction ، Conjugate gradient method ، muscle-bone structure ، Heat Flux ، Temperature-dependent properties