Triangular node for Transmission-Line Modeling (TLM) applied to bio-heat transfer |
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| Institution: | 1. devashish.shrivastava@gmail.com;2. scm_iitg@yahoo.com;3. cjgordon.gordon1@gmail.com;1. Department of Physics, Murshidabad College of Engineering & Technology, Berhampore, Murshidabad, West Bengal, 742102, India;2. Department of Electronic Science, Brainware University, Barasat, Kolkata, West Bengal, 700124, India;3. Department of Electronics & Communication Engineering, SDET-Brainware Group of Institutions, Barasat, Kolkata, West Bengal, 700124, India;1. Department of Radiology, University of Wisconsin School of Medicine and Public Health, 600 Highland Avenue MC 3252, Madison, WI 53792, USA;2. Department of Biomedical Engineering, University of Wisconsin, 1415 Engineering Drive, Madison, WI 53706, USA;1. Nanotechnology Institute, Amirkabir University of Technology, Tehran 15875-4413, Iran;2. Department of Textile Engineering, AmirKabir University of Technology, Tehran 15875-4413, Iran;3. Department of Stem Cells and Developmental Biology, Cell Science Research Center, Royan Institute for Stem Cell Biology and Technology, ACECR, Tehran, Iran;1. Dalian Jiaotong University, Dalian 116028, China;2. Liaoning Province Key Laboratory of Metallurgical Equipment and Process Control, University of Science and Technology Liaoning, Anshan 114051, China |
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| Abstract: | Transmission-Line Modeling (TLM) is a numerical method used to solve complex and time-domain bio-heat transfer problems. In TLM, rectangles are used to discretize two-dimensional problems. The drawback in using rectangular shapes is that instead of refining only the domain of interest, a large additional domain will also be refined in the x and y axes, which results in increased computational time and memory space. In this paper, we developed a triangular node for TLM applied to bio-heat transfer that does not have the drawback associated with the rectangular nodes. The model includes heat source, blood perfusion (advection), boundary conditions and initial conditions. The boundary conditions could be adiabatic, temperature, heat flux, or convection. A matrix equation for TLM, which simplifies the solution of time-domain problems or solves steady-state problems, was also developed. The predicted results were compared against results obtained from the solution of a simplified two-dimensional problem, and they agreed within 1% for a mesh length of triangular faces of 59 µm±9 µm (mean±standard deviation) and a time step of 1 ms. |
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| Keywords: | Bio-heat equation Triangular node Pennes’ equation Numerical method Transmission-Line Modeling |
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