Department of Imaging Physics, The University of Texas M.D. Anderson Cancer Center, Houston, TX 77030, USA.
IEEE Trans Biomed Eng. 2010 May;57(5):1024-30. doi: 10.1109/TBME.2009.2037733. Epub 2010 Feb 5.
The treatment times of laser induced thermal therapies (LITT) guided by computational prediction are determined by the convergence behavior of partial differential equation (PDE)-constrained optimization problems. In this paper, we investigate the convergence behavior of a bioheat transfer constrained calibration problem to assess the feasibility of applying to real-time patient specific data. The calibration techniques utilize multiplanar thermal images obtained from the nondestructive in vivo heating of canine prostate. The calibration techniques attempt to adaptively recover the biothermal heterogeneities within the tissue on a patient-specific level and results in a formidable PDE constrained optimization problem to be solved in real time. A comprehensive calibration study is performed with both homogeneous and spatially heterogeneous biothermal model parameters with and without constitutive nonlinearities. Initial results presented here indicate that the calibration problems involving the inverse solution of thousands of model parameters can converge to a solution within three minutes and decrease the see text for symbol (2) (2) ((0, T; L) (2) ((Omega))) norm of the difference between computational prediction and the measured temperature values to a patient-specific regime.
激光诱导热疗（LITT）的治疗时间由计算预测指导，取决于偏微分方程（PDE）约束优化问题的收敛行为。在本文中，我们研究了生物传热约束校准问题的收敛行为，以评估其应用于实时患者特定数据的可行性。校准技术利用从犬前列腺的无损体内加热获得的多平面热图像。校准技术试图在患者特异性水平上自适应地恢复组织内的生物热异质性，并导致实时求解一个具有挑战性的 PDE 约束优化问题。对具有和不具有本构非线性的均匀和空间异质生物热模型参数进行了全面的校准研究。这里呈现的初步结果表明，涉及数千个模型参数的逆解的校准问题可以在三分钟内收敛到一个解，并将计算预测与测量温度值之间的差异的见文本中的符号 (2) (2) ((0, T; L) (2) ((Omega)))范数降低到患者特异性水平。
