A thermal model was needed to predict temperatures in a perfused tissue, which satisfied the following three criteria. One, the model satisfied conservation of energy. Two, the heat transfer rate from blood vessels to tissue was modeled without following a vessel path. Three, the model applied to any unheated and heated tissue. To meet these criteria, a generic bioheat transfer model (BHTM) was derived here by conserving thermal energy in a heated vascularized finite tissue and by making a few simplifying assumptions. Two linear coupled differential equations were obtained with the following two variables: tissue volume averaged temperature and blood volume averaged temperature. The generic model was compared with the widely employed empirical Pennes’ BHTM. The comparison showed that the Pennes’ perfusion term should be interpreted as a local vasculature dependent heat transfer coefficient term. Suggestions are presented for further adaptations of the general BHTM for specific tissues using imaging techniques and numerical simulations.
Skip Nav Destination
e-mail: dev@cmrr.umn.edu
Article navigation
July 2009
Technical Briefs
A Generic Bioheat Transfer Thermal Model for a Perfused Tissue
Devashish Shrivastava,
Devashish Shrivastava
Center for Magnetic Resonance Research,
e-mail: dev@cmrr.umn.edu
University of Minnesota
, Minneapolis, MN 55455
Search for other works by this author on:
J. Thomas Vaughan
J. Thomas Vaughan
Center for Magnetic Resonance Research,
University of Minnesota
, Minneapolis, MN 55455
Search for other works by this author on:
Devashish Shrivastava
Center for Magnetic Resonance Research,
University of Minnesota
, Minneapolis, MN 55455e-mail: dev@cmrr.umn.edu
J. Thomas Vaughan
Center for Magnetic Resonance Research,
University of Minnesota
, Minneapolis, MN 55455J Biomech Eng. Jul 2009, 131(7): 074506 (5 pages)
Published Online: June 5, 2009
Article history
Received:
September 30, 2008
Revised:
March 13, 2009
Published:
June 5, 2009
Citation
Shrivastava, D., and Vaughan, J. T. (June 5, 2009). "A Generic Bioheat Transfer Thermal Model for a Perfused Tissue." ASME. J Biomech Eng. July 2009; 131(7): 074506. https://doi.org/10.1115/1.3127260
Download citation file:
Get Email Alerts
Effect of Internal Mechanical Environment of Porous Scaffolds on Mechano-driven Bone Ingrowth: A Numerical Study
J Biomech Eng (September 2023)
In Silico Mechanical Effort Analysis of the All-On-4 Design Performed With Platform-Switching Distal Short Dental Implants
J Biomech Eng (September 2023)
Related Articles
A New Fundamental Bioheat Equation for Muscle Tissue—Part II: Temperature of SAV Vessels
J Biomech Eng (February,2002)
Experimental Measurements of the Temperature Variation Along Artery-Vein Pairs from 200 to 1000 μm Diameter in Rat Hind Limb
J Biomech Eng (December,2002)
Readdressing the Issue of Thermally Significant Blood Vessels Using a Countercurrent Vessel Network
J Biomech Eng (April,2006)
Cryosurgery: Analysis and Experimentation of Cryoprobes in Phase Changing Media
J. Heat Transfer (January,2011)
Related Proceedings Papers
Related Chapters
Tissue and blood-material interactions
Biocompatible Nanomaterials for Targeted and Controlled Delivery of Biomacromolecules
Bioinformatic Analysis of the Malay Peninsular Macaca Fascicularis Based on Cytochrome C Oxidase I Sequences
International Conference on Computer Research and Development, 5th (ICCRD 2013)
Based on Blood Vessel Edge Feature Fundus Fluorescein Angiography Image Splicing
International Conference on Instrumentation, Measurement, Circuits and Systems (ICIMCS 2011)