NDLI: Mathematical Models for Analyzing Tissue Ablation Using Short Pulse Lasers

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Onyejekwe, Ogugua Sajjadi, Amir Yousef Abdulla, Ugur Mitra, Kunal Grace, Michael
Copyright Year	2009
Abstract	Mathematical modeling of biological tissue ablation performed using a short pulse laser and the corresponding experimental analysis is of fundamental importance to the understanding and predicting the temperature distribution and heat affected zone for advancing surgical application of lasers. The objective of this paper is to use mathematical models to predict the thermal ablated zones during irradiation of freshly excised mouse skin tissue samples by a novel approach using a focused laser beam from a short pulse laser source. Suggested mathematical model is Stefan kind free boundary problem for the heat equation in unknown region. Temperature of the skin satisfies the classical heat equation subjected to Neumann boundary condition on the known boundary, while along the time-dependent unknown boundary, which characterizes the ablation depth, two conditions are met: (1) temperature is equal to the ablation temperature and (2) classical Stefan condition is satisfied. The latter expresses the conservation of energy at the ablation moment. A method of integral equations is used to reduce the Stefan problem to a system of two Volterra kind integral equations for temperature and ablation depth. MATLAB is used subsequently for the numerical solution. Experiments are performed using two lasers—a diode laser having a wavelength of 1552 nm and pulsewidth of 1.3 ps. The surface temperature distribution is measured using an imaging camera. After irradiation, histological studies of laser irradiated tissues are performed using frozen sectioning technique to determine the extent of thermal damage caused by the laser beam. The ablation depth and width is calculated based on the interpolated polygon technique using image processing software. The surface temperature distribution and the ablation depth obtained from the mathematical models are compared with the experimental measurements and are in very good agreement. A parametric study of various laser parameters such as time-average power, pulse repetition rate, pulse energy, and irradiation time is performed to determine the necessary ablation threshold parameters.
Starting Page	179
Ending Page	185
Page Count	7
File Format	PDF
ISBN	9780791843758
DOI	10.1115/IMECE2009-11626
e-ISBN	9780791838631
Volume Number	Volume 2: Biomedical and Biotechnology Engineering
Conference Proceedings	ASME 2009 International Mechanical Engineering Congress and Exposition
Language	English
Publisher Date	2009-11-13
Publisher Place	Lake Buena Vista, Florida, USA
Access Restriction	Subscribed
Subject Keyword	Temperature distribution Temperature Image processing Biological tissues Computer software Irradiation (radiation exposure) Laser beams Modeling Wavelength Heat Ablation (vaporization technology) Lasers Integral equations Energy conservation Experimental analysis Imaging Surgery Boundary-value problems Skin Damage Matlab
Content Type	Text
Resource Type	Article

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