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
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Theory and Experiment for the Effect of Vascular Microstructure on Surface Tissue Heat Transfer—Part I: Anatomical Foundation and Model Conceptualization
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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
Temperature Changes in Blood Flowing in Arteries and Veins in Man
Bazett, H. C., Love, L., Newton, M., Eisenberg, L., Day, R., & Forster, R. E. (1948) · Journal of Applied Physiology · doi:10.1152/jappl.1948.1.1.3 · Cited by 173
Theory and Experiment for the Effect of Vascular Microstructure on Surface Tissue Heat Transfer—Part II: Model Formulation and Solution
Jiji, L. M., Weinbaum, S., & Lemons, D. E. (1984) · Journal of Biomechanical Engineering · doi:10.1115/1.3138502 · Cited by 164
Control of Body Temperature
Stolwijk, J. A. J., & Hardy, J. D. (1977) · Comprehensive physiology · doi:10.1002/cphy.cp090104 · Cited by 162
Heat and matter distribution in body tissues and the determination of tissue blood flow by local clearance methods
Perl, W. (1962) · Journal of Theoretical Biology · doi:10.1016/0022-5193(62)90025-5 · Cited by 140
An Analytical Model of the Counter-Current Heat Exchange Phenomena
Mitchell, J. W., & Myers, G. E. (1968) · Biophysical Journal · doi:10.1016/s0006-3495(68)86527-0 · Cited by 132
1980 Advances in Bioengineering
Mow, V. C. (1981) · Journal of Biomechanical Engineering · doi:10.1115/1.3138259 · Cited by 127
Heat Loss from the Nude Body and Peripheral Blood Flow at Temperatures of 22°C. to 35°C.
Hardy, J. D., & Soderstrom, G. F. (1938) · Journal of Nutrition · doi:10.1093/jn/16.5.493 · Cited by 126
SECRETION OF GASES AGAINST HIGH PRESSURES IN THE SWIMBLADDER OF DEEP SEA FISHES I. OXYGEN DISSOCIATION IN BLOOD
Scholander, P. F., & DAM, L. V. (1954) · Biological Bulletin · doi:10.2307/1538611 · Cited by 125
The influence of bloodflow in large vessels on the temperature distribution in hyperthermia
LAGENDIJK, J. J. W. (1982) · Physics in Medicine and Biology · doi:10.1088/0031-9155/27/1/002 · Cited by 120
SECRETION OF GASES AGAINST HIGH PRESSURES IN THE SWIMBLADDER OF DEEP SEA FISHES II. THE RETE MIRABILE
Scholander, P. F. (1954) · Biological Bulletin · doi:10.2307/1538612 · Cited by 116
Heat Transport Mechanisms in Vascular Tissues: A Model Comparison
Baish, J. W., AYYASWAMY, P. S., & Foster, K. R. (1986) · Journal of Biomechanical Engineering · doi:10.1115/1.3138623 · Cited by 111
TEMPERATURE GRADIENTS IN THE TISSUES IN MAN
Bazett, H. C., & McGlone, B. (1927) · American Journal of Physiology-Legacy Content · doi:10.1152/ajplegacy.1927.82.2.415 · Cited by 106
Heat transfer in perfused biological tissue—I: General theory
KLINGER, H. (1974) · Bulletin of Mathematical Biology · doi:10.1016/s0092-8240(74)80038-8 · Cited by 101
An analysis of peripheral heat transfer in man.
Keller, K., & Seiler, L. (1971) · Journal of Applied Physiology · doi:10.1152/jappl.1971.30.5.779 · Cited by 101
Countercurrent Heat Exchange and Vascular Bundles in Sloths
Scholander, P. F., & Krog, J. O. (1957) · Journal of Applied Physiology · doi:10.1152/jappl.1957.10.3.405 · Cited by 99
THE INFLUENCE OF CLOTHING ON THE PHYSIOLOGICAL REACTIONS OF THE HUMAN BODY TO VARYING ENVIRONMENTAL TEMPERATURES
Gagge, A. P., Winslow, C.-E. A., & Herrington, L. P. (1938) · American Journal of Physiology-Legacy Content · doi:10.1152/ajplegacy.1938.124.1.30 · Cited by 87
Physiology and Biophysics of the Circulation
Evans, D. (1965) · British Journal of Anaesthesia · doi:10.1093/bja/37.11.882-a · Cited by 79
Small-Scale Temperature Fluctuations in Perfused Tissue During Local Hyperthermia
Baish, J. W., AYYASWAMY, P. S., & Foster, K. R. (1986) · Journal of Biomechanical Engineering · doi:10.1115/1.3138610 · Cited by 73
An Evaluation of the Weinbaum-Jiji Bioheat Equation for Normal and Hyperthermic Conditions
Charny, C. K., Weinbaum, S., & Levin, R. L. (1990) · Journal of Biomechanical Engineering · doi:10.1115/1.2891130 · Cited by 71
Self-citation
Heat transfer in perfused biological tissue—I: General theory
Klinger, H. G. (1974) · Bulletin of Mathematical Biology · doi:10.1007/bf02464617 · Cited by 70
Comments on the New Bioheat Equation Proposed by Weinbaum and Jiji
Wissler, E. H. (1987) · Journal of Biomechanical Engineering · doi:10.1115/1.3138673 · Cited by 63
Applications of bioheat transfer simulations in hyperthermia.
Roemer, R. B., & Cetas, T. C. (1984) · PubMed · Cited by 57
A Review on Mathematical Models of the Human Thermal System
Fan, L.-T., Hsu, F.-T., & Hwang, C.-L. (1971) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.1971.4502835 · Cited by 52
Bioheat Transfer in a Branching Countercurrent Network During Hyperthermia
Charny, C. K., & Levin, R. L. (1989) · Journal of Biomechanical Engineering · doi:10.1115/1.3168377 · Cited by 51
Self-citation
A Theoretical Model for Peripheral Tissue Heat Transfer Using the Bioheat Equation of Weinbaum and Jiji
Song, W. J., Weinbaum, S., & Jiji, L. M. (1987) · Journal of Biomechanical Engineering · doi:10.1115/1.3138646 · Cited by 51
Steady state heat transfer to blood flowing in the entrance region of a tube
Victor, S. A., & Shah, V. L. (1976) · International Journal of Heat and Mass Transfer · doi:10.1016/0017-9310(76)90131-9 · Cited by 50
Precooling of Blood in the Arteries, Effective Heat Capacity and Evaporative Cooling as Factors Modifying Cooling of the Extremities
Bazett, H. C., Mendelson, E. S., Love, L., & Libet, B. (1948) · Journal of Applied Physiology · doi:10.1152/jappl.1948.1.2.169 · Cited by 46
A Combined Macro and Microvascular Model for Whole Limb Heat Transfer
Song, W. J., Weinbaum, S., Jiji, L. M., & Lemons, D. E. (1988) · Journal of Biomechanical Engineering · doi:10.1115/1.3108440 · Cited by 40
Heat Transport by Countercurrent Blood Vessels in the Presence of an Arbitrary Temperature Gradient
Baish, J. W. (1990) · Journal of Biomechanical Engineering · doi:10.1115/1.2891173 · Cited by 39
THERMAL DILUTION METHODS: ESTIMATION OF TISSUE BLOOD FLOW AND METABOLISM*
Eberhart, R. C., Shitzer, A., & Hernandez, E. J. (1980) · Annals of the New York Academy of Sciences · doi:10.1111/j.1749-6632.1980.tb50740.x · Cited by 35
A Whole Body Thenmal Model of Man During Hyperthermia
Charny, C. K., Hagmann, M. J., & Lavin, R. L. (1987) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.1987.325969 · Cited by 35
Self-citation
The Matching of Thermal Fields Surrounding Countercurrent Microvessels and the Closure Approximation in the Weinbaum-Jiji Equation
Weinbaum, S., & Jiji, L. M. (1989) · Journal of Biomechanical Engineering · doi:10.1115/1.3168378 · Cited by 33
Perfused Phantom Models of Microwave Irradiated Tissue
Baish, J. W., Foster, K. R., & AYYASWAMY, P. S. (1986) · Journal of Biomechanical Engineering · doi:10.1115/1.3138609 · Cited by 31
On the Generalization of the Weinbaum-Jiji Bioheat Equation to Microvessels of Unequal Size; The Relation Between the Near Field and Local Average Tissue Temperatures
Zhu, M., Weinbaum, S., Jiji, L. M., & Lemons, D. E. (1988) · Journal of Biomechanical Engineering · doi:10.1115/1.3108409 · Cited by 27
Local blood flow in kidney tissue by heat clearance measurement
Perl, W., & Hirsch, R. L. (1966) · Journal of Theoretical Biology · doi:10.1016/0022-5193(66)90126-3 · Cited by 25
Parametric Studies on the Three-Layer Microcirculatory Model for Surface Tissue Energy Exchange
Dagan, Z., Weinbaum, S., & Jiji, L. M. (1986) · Journal of Biomechanical Engineering · doi:10.1115/1.3138585 · Cited by 24
Steady-state analysis and evaluation of a new thermal sensor for surface measurements of tissue perfusion
Castellana, F. S., Skalak, R., Cho, J. M., & Case, R. B. (1983) · Annals of Biomedical Engineering · doi:10.1007/bf02367494 · Cited by 23
Heat Transfer Normal to Paired Arterioles and Venules Embedded in Perfused Tissue During Hyperthermia
Charny, C. K., & Levin, R. L. (1988) · Journal of Biomechanical Engineering · doi:10.1115/1.3108442 · Cited by 22
Self-citation
Estimation of complete temperature fields from measured transient temperatures
Clegg, S. T., Roemer, R. B., & Cetas, T. C. (1985) · International Journal of Hyperthermia · doi:10.3109/02656738509029291 · Cited by 21
An Analytical Solution Countercurrent Heat Transfer Between Parallel Vessels With a Linear Axial Temperature Gradient
Wissler, E. H. (1988) · Journal of Biomechanical Engineering · doi:10.1115/1.3108439 · Cited by 21
Analysis of Heat Transfer and Temperature Distributions in Tissues during Local and Whole-Body Hyperthermia
Jain, R. K. (1985) · Springer eBooks · doi:10.1007/978-1-4684-8285-0_1 · Cited by 20
A thermal method for the determination of tissue blood flow
McCaffrey, T. V., & McCook, R. D. (1975) · Journal of Applied Physiology · doi:10.1152/jappl.1975.39.1.170 · Cited by 20
Comments on Weinbaum and Jiji’s Discussion of Their Proposed Bioheat Equation
Wissler, E. H. (1987) · Journal of Biomechanical Engineering · doi:10.1115/1.3138694 · Cited by 19
Analytical Solutions to the Problem of Transient Heat Transfer in Living Tissue
Shitzer, A., & CHATO, J. C. (1978) · Journal of Biomechanical Engineering · doi:10.1115/1.3426211 · Cited by 19
Discussion of Papers by Wissler and Baish et al. Concerning the Weinbaum-Jiji Bioheat Equation
Weinbaum, S., & Jiji, L. M. (1987) · Journal of Biomechanical Engineering · doi:10.1115/1.3138674 · Cited by 18
Simulations of MAPA and APA heating using a whole body thermal model
Charny, C. K., & Levin, R. L. (1988) · IEEE Transactions on Biomedical Engineering · doi:10.1109/10.1395 · Cited by 17
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MEASUREMENT OF THE SUPERFICIAL TEMPERATURE GRADIENT IN MAN
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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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