Document Detail

Improved Cartesian coordinate finite difference simulations of small cylindrical objects.
MedLine Citation:
PMID:  8445889     Owner:  NLM     Status:  MEDLINE    
An analytical, cylindrical coordinate formula for the thermal resistance around small cylindrical objects has been incorporated into finite difference equations in Cartesian coordinates to improve the accuracy of the numerical simulations of hyperthermia cancer treatments. This is done by introducing a circular finite difference control volume which is centered on the cylindrical object. The temperature distributions calculated from this new formulation and from the formulation obtained from a conventional, rectangular control volume are compared to the predictions from an analytical solution. The results show that for a given Cartesian grid spacing, the new method is superior to the conventional one. This will allow more accurate numerical solutions to be obtained at larger grid spacings when the effect of blood vessels or other cylindrical objects, such as ferromagnetic implants, hot water tubes, etc., are being investigated.
Z P Chen; R B Roemer
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Publication Detail:
Type:  Journal Article; Research Support, U.S. Gov't, P.H.S.    
Journal Detail:
Title:  Journal of biomechanical engineering     Volume:  115     ISSN:  0148-0731     ISO Abbreviation:  J Biomech Eng     Publication Date:  1993 Feb 
Date Detail:
Created Date:  1993-04-08     Completed Date:  1993-04-08     Revised Date:  2007-11-14    
Medline Journal Info:
Nlm Unique ID:  7909584     Medline TA:  J Biomech Eng     Country:  UNITED STATES    
Other Details:
Languages:  eng     Pagination:  119-21     Citation Subset:  IM    
Radiation Oncology Department, University of Arizona, Arizona Health Sciences Center, Tucson 85724.
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MeSH Terms
Hyperthermia, Induced / methods,  standards
Models, Anatomic*
Numerical Analysis, Computer-Assisted*
Therapy, Computer-Assisted
Thermal Conductivity
Thermography / methods
Grant Support

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