A Model of Pulsed Photothermal Radiation for the Laser Treatment of Dermatological Diseases

被引：0
|
作者：
Hu F. [1 ]
Xu C. [1 ]
Zhang H. [1 ]
Li D. [1 ]
Chen B. [1 ]
Ying C. [2 ]
机构：
[1] State Key Laboratory of Multiphase Flow in Power Engineering, Xi'an Jiaotong University, Xi'an
[2] Shaanxi Institute of Dermatology Prevention and Treatment, Xi'an
来源：
Hsi-An Chiao Tung Ta Hsueh/Journal of Xi'an Jiaotong University | 2024年 / 58卷 / 04期
关键词：
dermatological diseases; inverse algorithm; laser therapy; nevus erythematosus; pulsed photothermal radiation; regularization;
D O I：
10.7652/xjtuxb202404012
中图分类号：
学科分类号：
摘要：
A theoretical model has been established to address the difficulties in measuring the internal temperature distribution and morphology of biological tissues during the laser treatment of dermatological diseases, as well as the problem of suboptimal therapeutic outcomes caused by doctors' selection of treatment parameters based on their experience. This model utilizes pulsed photo-thermal radiation (PPTR) to reconstruct the skin structure and enable intelligent laser parameter selection, thereby assisting in laser treatment. Three inverse algorithms, namely, truncated singular value decomposition (CTP-TSVD) with a custom truncated parameter selection method, Tikhonov regularization (L-Tikhonov) with the L-curve method for selecting the regularization parameter, and conjugate gradient with a predetermined number of iterations (GN1-CG) were used for simulation calculations. An error evaluation function was established to analyze and compare the reconstruction effects of varying epidermal layer thickness, lesion layer thickness, and depth under the three algorithms. Additionally, skin mimics were fabricated for ex vivo experiments. Based on these experiments, a study was conducted to explore the application of clinical treatment for nevus erythematosus. The results demonstrated that the comprehensive performance evaluation indices of the three algorithms, namely L-Tikhonov, GNI-CG, and CTP-TSVD, were 0.066, 0.082 and 0.126 respectively, in descending order. This finding confirms that the three inverse algorithms are capable of maintaining a high level of accuracy in reconstructing the vascular layer of nevus erythematosus within the typical depth range. The results of in vitro experiments and the clinical applications demonstrate that the PPTR model proposed in this study has the potential to address various aspects of the epidermis, lesion layer, and other tissues, including temperature rise distribution, thickness, and location. The accuracy of the reconstruction results can meet the treatment needs. These findings provide some quantitative guidance for the selection of parameters during laser treatment procedures. © 2024 Xi'an Jiaotong University. All rights reserved.
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页码：127 / 137
页数：10
相关论文
共 26 条
  • [11] AL-MAHDAWI H K I, ABOTALEB M, ALKATTAN H, Et al., Multigrid method for solving inverse problems for heat equation, Mathematics, 10, 15, (2022)
  • [12] AL-MAHDAWI H K I, ALKATT4N H, ABOTALEB M, Et al., Updating the landweber iteration method for solving inverse problems [J], Mathematics, 10, 15, (2022)
  • [13] XIE Zhengchao, WANG Fei, YAN Jianhua, Et al., Comparative studies of Tikhonov regularization and truncated singular value decomposition in the threedimensional flame temperature field reconstruction, Acta Physica Sinica, 64, 24, pp. 18-26, (2015)
  • [14] LIU Xiaowei, ZHU Haijiang, LIU Xingwang, Et al., An iterative reconstruction algorithm for the 3D temperature field of the high-temperature fireball in a gun explosion field based on weighted multi-criteria, Journal of Beijing University of Chemical Technology (Natural Science Edition), 48, 3, pp. 65-74, (2021)
  • [15] MARGOTTI F, RABELO J., Tikhonov-like methods with inexact minimization for solving linear ill-posed problems, Inverse Problems, 36, 12, (2020)
  • [16] CUI Jingjing, PENG Guohua, LU Quan, Et al., A special modified Tikhonov regularization matrix for discrete ill-posed problems, Applied Mathematics and Computation, 377, (2020)
  • [17] PARIDA R K, MADAV V, HINDASAGERI V., Analytical solution to transient inverse heat conduction problem using Green?s function [J], Journal of Thermal Analysis and Calorimetry, 141, 6, pp. 2391-2404, (2020)
  • [18] LIN Dongfang, YAO Yibin, ZHENG Dunyong, Et al., Determination of truncation parameter based on the differences of TSVD parameter estimates for ill-posed problems in geodesy, Acta Geodaetica et Cartographies Sinica, 51, 8, pp. 1787-1796, (2022)
  • [19] ZHAO Zhengyi, HOU Yingni, Radar forward-looking super resolution imaging based on block sparse reconstruction with TSVD, Systems Engineering and Electronics, 45, 7, pp. 2051-2059, (2023)
  • [20] DU Wenhui, Iterated fractional Tikhonov method for a backward problem for the time-fractional diffusion equation [J], Advances in Applied Mathematics, 12, 4, pp. 1792-1803, (2023)
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