Cited by 241Thermoelastic and Magnetoelastic PhenomenaHeat Transfer and Numerical MethodsThermoregulation and physiological responses

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Mathematical Models of Bioheat Transfer

Charny, Caleb K.·1992·Advances in heat transfer

DOI 10.1016/s0065-2717(08)70344-7

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Analysis of Tissue and Arterial Blood Temperatures in the Resting Human Forearm
Pennes, H. H. (1948) · Journal of Applied Physiology · doi:10.1152/jappl.1948.1.2.93 · Cited by 4,655
MICROVASCULAR CONTRIBUTIONS IN TISSUE HEAT TRANSFER
Chen, M. M., & Holmes, K. R. (1980) · Annals of the New York Academy of Sciences · doi:10.1111/j.1749-6632.1980.tb50742.x · Cited by 501
A New Simplified Bioheat Equation for the Effect of Blood Flow on Local Average Tissue Temperature
Weinbaum, S., & Jiji, L. M. (1985) · Journal of Biomechanical Engineering · doi:10.1115/1.3138533 · Cited by 465
Theory and Experiment for the Effect of Vascular Microstructure on Surface Tissue Heat Transfer—Part I: Anatomical Foundation and Model Conceptualization
Weinbaum, S., Jiji, L. M., & Lemons, D. E. (1984) · Journal of Biomechanical Engineering · doi:10.1115/1.3138501 · Cited by 310
Heat Transfer in Medicine and Biology
Shitzer, A., & Eberhart, R. C. (1985) · Springer eBooks · doi:10.1007/978-1-4684-8285-0 · Cited by 310
Basal Metabolism, Radiation, Convection and Vaporization at Temperatures of 22 to 35°C.
Hardy, J. D., Bois, E. F. D., & Soderstrom, G. F. (1938) · Journal of Nutrition · doi:10.1093/jn/15.5.477 · Cited by 285
The Energy Conservation Equation for Living Tissue
Wulff, W. (1974) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.1974.324342 · Cited by 279
A Mathematical Model of the Human Temperature Regulatory System - Transient Cold Exposure Response
Gordon, R. G., Roemer, R. B., & Horvath, S. M. (1976) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.1976.324601 · Cited by 246
Advances in Bioengineering
(2020) · Springer eBooks · doi:10.1007/978-981-15-2063-1 · Cited by 243
The Application of the Theory of Heat Flow to the Study of Energy Metabolism
Burton, A. C. (1934) · Journal of Nutrition · doi:10.1093/jn/7.5.497 · Cited by 197

Show all 62 references

Research works printed but not linked: 3

Chato, 1980, Heat transitions, ASME J. Biomech. Eng., 102, 80
Klinger, 1976, Heat transfer in perfused biological tissue. II. The macroscopic temperature distribution, Bull. Math. Biol., 38, 183
Lemons, 1987, Experimental studies on the role of the micro and macro vascular system in tissue heat transfer, Am. J. Physiol., 253, R128

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Authors: Charny, C. K.
Affiliations: Cooper Union (US)
Corresponding author: Charny, Caleb K.
Venue: Advances in heat transfer
Publisher: Elsevier
Published: 1992
Pages: 19-155
ISSN: 0065-2717 (ISSN-L)
DOI: 10.1016/s0065-2717(08)70344-7
OpenAlex: W1480431159
Cited by: 241
References: 62
Citations by year: 2026: 15 · 2025: 13 · 2024: 8 · 2023: 14 · 2022: 11 · 2021: 16 · 2020: 9 · 2019: 9 · 2018: 9 · 2017: 6 · 2016: 8 · 2015: 9 · 2014: 11 · 2013: 7 · 2012: 9
FWCI: 4.27
Type: book chapter
Language: en
Open access: closed
Locations: Advances in heat transfer (publishedVersion)
Topics: Physical Sciences › Engineering › Mechanics of Materials › Thermoelastic and Magnetoelastic Phenomena
Physical Sciences › Engineering › Computational Mechanics › Heat Transfer and Numerical Methods
Health Sciences › Medicine › Physiology (medical) › Thermoregulation and physiological responses
Keywords: bioheat transfer, blood flow, tissue temperature, muscle temperature

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