Mathematical models of bioheat transfer

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 290 · see citing works

The Energy Conservation Equation for Living Tissue

Wulff, W. (1974) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.1974.324342 · Cited by 279 · see citing works

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 · see citing works

Advances in Bioengineering

(2020) · Springer eBooks · doi:10.1007/978-981-15-2063-1 · Cited by 243 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

Control of Body Temperature

Stolwijk, J. A. J., & Hardy, J. D. (1977) · Comprehensive physiology · doi:10.1002/cphy.cp090104 · Cited by 162 · see citing works

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 · see citing works

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 · see citing works

1980 Advances in Bioengineering

Mow, V. C. (1981) · Journal of Biomechanical Engineering · doi:10.1115/1.3138259 · Cited by 127 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

Physiology and Biophysics of the Circulation

Evans, D. (1965) · British Journal of Anaesthesia · doi:10.1093/bja/37.11.882-a · Cited by 79 · see citing works

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 · see citing works

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 · see citing works

Heat transfer in perfused biological tissue—I: General theory

Klinger, H. G. (1974) · Bulletin of Mathematical Biology · doi:10.1007/bf02464617 · Cited by 70 · see citing works

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 · see citing works

Applications of bioheat transfer simulations in hyperthermia.

Roemer, R. B., & Cetas, T. C. (1984) · PubMed · Cited by 57 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

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 · see citing works

MEASUREMENT OF THE SUPERFICIAL TEMPERATURE GRADIENT IN MAN

Mendelson, E. S. (1936) · American Journal of Physiology-Legacy Content · doi:10.1152/ajplegacy.1936.114.3.642 · Cited by 14 · see citing works

THE BIO‐HEAT TRANSFER EQUATION and DISCRIMINATION OF THERMALLY SIGNIFICANT VESSELS

Bowman, H. F. (1980) · Annals of the New York Academy of Sciences · doi:10.1111/j.1749-6632.1980.tb50744.x · Cited by 12 · see citing works

Prediction of dynamic temperature distributions in the human body

Huckaba, C. E., Tam, H., Darling, R. C., & Downey, J. A. (1975) · AIChE Journal · doi:10.1002/aic.690210525 · Cited by 9 · see citing works

Thermal behavior of biological tissues—A general analysis

Shitzer, A., & Kleiner, M. K. (1976) · Bulletin of Mathematical Biology · doi:10.1016/s0092-8240(76)80018-3 · Cited by 9 · see citing works

Calculation of temperature distribution in the human body

Huckaba, C. E., Hansen, L. W., Downey, J. A., & Darling, R. C. (1973) · AIChE Journal · doi:10.1002/aic.690190317 · Cited by 9 · see citing works

Blood Perfusion Measurements by the Analysis of the Heated Thermocouple Probe’s Temperature Transients

Johnson, W. R., Abdelmessih, A. H., & Grayson, J. K. (1979) · Journal of Biomechanical Engineering · doi:10.1115/1.3426226 · Cited by 8 · see citing works

A heat and mass transfer model for computing the thermal dose during hyperthermic treatment of extremities

Levin, R. L., Hagmann, M. J., & GLATSTEIN, E. J. (1984) · International Journal of Radiation Oncology*Biology*Physics · doi:10.1016/0360-3016(84)90764-8 · Cited by 3 · see citing works

Thermal behavior of biological tissues—A general analysis

Shitzer, A., & Kleiner, M. K. (1976) · Bulletin of Mathematical Biology · doi:10.1007/bf02462212 · Cited by 3 · see citing works

Fundamentals and advances in magnetic hyperthermia

Périgo, E. A., Hemery, G., Sandre, O., Ortega, D., Garaio, E., Plazaola, F., & Terán, F. J. (2015) · Applied Physics Reviews · doi:10.1063/1.4935688 · Cited by 844 · see citing works

Pennes’ 1948 paper revisited

Wissler, E. H. (1998) · Journal of Applied Physiology · doi:10.1152/jappl.1998.85.1.35 · Cited by 417 · see citing works

A general bioheat transfer model based on the theory of porous media

Nakayama, A., & Kuwahara, F. (2007) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2007.05.030 · Cited by 284 · see citing works

Mathematical Modeling of Skin Bioheat Transfer

Xu, F., Lu, T. J., Seffen, K. A., & Ng, E. Y. K. (2009) · Applied Mechanics Reviews · doi:10.1115/1.3124646 · Cited by 242 · see citing works

Warm or Cool, Large or Small? The Challenge of Thermal Displays

Jones, L. A., & Ho, H.-N. (2008) · IEEE Transactions on Haptics · doi:10.1109/toh.2008.2 · Cited by 237 · see citing works

Biothermomechanics of skin tissues

Xu, F., Lu, T. J., & Seffen, K. A. (2007) · Journal of the Mechanics and Physics of Solids · doi:10.1016/j.jmps.2007.11.011 · Cited by 234 · see citing works

A new transient bioheat model of the human body and its integration to clothing models

Salloum, M., Ghaddar, N., & Ghali, K. (2006) · International Journal of Thermal Sciences · doi:10.1016/j.ijthermalsci.2006.06.017 · Cited by 226 · see citing works

Analytical characterization of heat transport through biological media incorporating hyperthermia treatment

Mahjoob, S., & Kambiz Vafai, B. (2008) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2008.07.038 · Cited by 196 · see citing works

Quantification of Temperature and Injury Response in Thermal Therapy and Cryosurgery

He, X., & Bischof, J. C. (2003) · Critical Reviews in Biomedical Engineering · doi:10.1615/critrevbiomedeng.v31.i56.10 · Cited by 191 · see citing works

Conventional and newly developed bioheat transport models in vascularized tissues: A review

Bhowmik, A., Singh, R., Repaka, R., & Mishra, S. C. (2013) · Journal of Thermal Biology · doi:10.1016/j.jtherbio.2012.12.003 · Cited by 188 · see citing works

A review of the evidence for threshold of burn injury

Martin, N. A. J., & Falder, S. (2017) · Burns · doi:10.1016/j.burns.2017.04.003 · Cited by 166 · see citing works

Engineering Aspects of Hyperthermia Therapy

Roemer, R. B. (1999) · Annual Review of Biomedical Engineering · doi:10.1146/annurev.bioeng.1.1.347 · Cited by 157 · see citing works

Biothermomechanical behavior of skin tissue

Xu, F., Lu, T. J., & Seffen, K. A. (2008) · Acta Mechanica Sinica · doi:10.1007/s10409-007-0128-8 · Cited by 156 · see citing works

Bioheat equation of the human thermal system

Xuan, Y., & Roetzel, W. (1997) · Chemical Engineering & Technology · doi:10.1002/ceat.270200407 · Cited by 141 · see citing works

A transient three-dimensional heat transfer model of the human body

Ferreira, M. S., & Yanagihara, J. I. (2009) · International Communications in Heat and Mass Transfer · doi:10.1016/j.icheatmasstransfer.2009.03.010 · Cited by 139 · see citing works

Whither Magnetic Hyperthermia? A Tentative Roadmap

Rubia‐Rodríguez, I., Santana‐Otero, A., Spassov, S., Tombácz, E., Johansson, C., de la Presa, P. M., Terán, F. J., Morales, M. P., Veintemillas-Verdaguer, S., Thanh, N. T. K., et al. (2021) · Materials · doi:10.3390/ma14040706 · Cited by 137 · see citing works

Transient response of the human limb to an external stimulust

Roetzel, W., & Xuan, Y. (1998) · International Journal of Heat and Mass Transfer · doi:10.1016/s0017-9310(96)00160-3 · Cited by 119 · see citing works

Review of biomaterial thermal property measurements in the cryogenic regime and their use for prediction of equilibrium and non-equilibrium freezing applications in cryobiology

Choi, J., & Bischof, J. C. (2009) · Cryobiology · doi:10.1016/j.cryobiol.2009.11.004 · Cited by 115 · see citing works

A New Fundamental Bioheat Equation for Muscle Tissue: Part I—Blood Perfusion Term

Weinbaum, S., Xu, L. X., Zhu, L., & Ekpene, A. (1997) · Journal of Biomechanical Engineering · doi:10.1115/1.2796092 · Cited by 110 · see citing works

An analytical study on the thermal effects of cryosurgery on selective cell destruction

Chua, K. J., Chou, S. K., & Ho, J. C. (2005) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2005.11.005 · Cited by 109 · see citing works

Analytical Estimation of Temperature in Living Tissues Using the TPL Bioheat Model with Experimental Verification

Hobiny, A. D., Alzahrani, F. S., & Abbas, I. A. (2020) · Mathematics · doi:10.3390/math8071188 · Cited by 99 · see citing works

Tissue thermal conductivity by magnetic resonance thermometry and focused ultrasound heating

Cheng, H. M., & Plewes, D. B. (2002) · Journal of Magnetic Resonance Imaging · doi:10.1002/jmri.10199 · Cited by 97 · see citing works

Heat equations beyond Fourier: From heat waves to thermal metamaterials

Kovács, R. (2023) · Physics Reports · doi:10.1016/j.physrep.2023.11.001 · Cited by 95 · see citing works

Heat-induced changes in the mechanics of a collagenous tissue

Chen, S., & Humphrey, J. D. (1997) · Journal of Biomechanics · doi:10.1016/s0021-9290(97)00121-8 · Cited by 95 · see citing works

Thermostability of Biological Systems: Fundamentals, Challenges, and Quantification

He, X. (2011) · The Open Biomedical Engineering Journal · doi:10.2174/1874120701105010047 · Cited by 95 · see citing works

A mathematical model for skin burn injury induced by radiation heating

Dai, W., Wang, H., Jordan, P. M., Mickens, R. E., & Bejan, A. (2008) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2008.01.006 · Cited by 93 · see citing works

A Generic Bioheat Transfer Thermal Model for a Perfused Tissue

Shrivastava, D., & Vaughan, J. T. (2009) · Journal of Biomechanical Engineering · doi:10.1115/1.3127260 · Cited by 90 · see citing works

Non-Fourier Heat Conduction Effect on Laser-Induced Thermal Damage in Biological Tissues

Zhou, J., Zhang, Y., & Chen, J. K. (2008) · Numerical Heat Transfer Part A Applications · doi:10.1080/10407780802025911 · Cited by 85 · see citing works

Review on modeling heat transfer and thermoregulatory responses in human body

Fu, M., Weng, W., Chen, W., & Luo, N. (2016) · Journal of Thermal Biology · doi:10.1016/j.jtherbio.2016.06.018 · Cited by 83 · see citing works

Bio-Heat Models Revisited: Concepts, Derivations, Nondimensalization and Fractionalization Approaches

Hristov, J. Y. (2019) · Frontiers in Physics · doi:10.3389/fphy.2019.00189 · Cited by 82 · see citing works

Dimensionless solutions and general characteristics of bioheat transfer during thermal therapy

Okajima, J., Maruyama, S., Takeda, H., & Komiya, A. (2009) · Journal of Thermal Biology · doi:10.1016/j.jtherbio.2009.08.001 · Cited by 82 · see citing works

An efficient numerical technique for bioheat simulations and its application to computerized cryosurgery planning

Rossi, M. R., Tanaka, D., Shimada, K., & Rabin, Y. (2006) · Computer Methods and Programs in Biomedicine · doi:10.1016/j.cmpb.2006.09.014 · Cited by 70 · see citing works

Skin heat transfer model of facial thermograms and its application in face recognition

Wu, S., Lin, W., & Xie, S. (2008) · Pattern Recognition · doi:10.1016/j.patcog.2008.01.003 · Cited by 67 · see citing works

Computational modeling of biomagnetic micropolar blood flow and heat transfer in a two-dimensional non-Darcian porous medium

Bég, O. A., Bhargava, R. R., Rawat, S., Halim, K., & Takhar, H. S. (2007) · Meccanica · doi:10.1007/s11012-007-9102-6 · Cited by 67 · see citing works

Numerical analysis for determination of the presence of a tumor and estimation of its size and location in a tissue

Das, K., Singh, R., & Mishra, S. C. (2012) · Journal of Thermal Biology · doi:10.1016/j.jtherbio.2012.10.003 · Cited by 65 · see citing works

Temperature distribution in multi-layer skin tissue in presence of a tumor

Sarkar, D., Haji-Sheikh, A., & Jain, A. (2015) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2015.07.089 · Cited by 65 · see citing works

Credibility assessment of in silico clinical trials for medical devices

Pathmanathan, P., Aycock, K., Badal, A., Bighamian, R., Bodner, J., Craven, B. A., & Niederer, S. (2024) · PLOS Computational Biology · doi:10.1371/journal.pcbi.1012289 · Cited by 62 · see citing works

Physiological and ecological implications of a simple model of heating and cooling in reptiles

O’Connor, M. P. (1999) · Journal of Thermal Biology · doi:10.1016/s0306-4565(98)00046-1 · Cited by 60 · see citing works

Estimating the time and temperature relationship for causation of deep-partial thickness skin burns

Abraham, J., Plourde, B. D., Vallez, L. J., Stark, J. R., & Diller, K. R. (2015) · Burns · doi:10.1016/j.burns.2015.06.002 · Cited by 59 · see citing works

Computerized Planning for Multiprobe Cryosurgery using a Force-field Analogy

Lung, D. C., Stahovich, T. F., & Rabin, Y. (2004) · Computer Methods in Biomechanics & Biomedical Engineering · doi:10.1080/10255840410001689376 · Cited by 59 · see citing works

A one-dimensional thermo-fluid model of blood circulation in the human upper limb

He, Y., Liu, H., & Himeno, R. (2004) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2003.10.041 · Cited by 57 · see citing works

Blood perfusion-based model for characterizing the temperature fluctuation in living tissues

Deng, Z., & Liu, J. (2001) · Physica A Statistical Mechanics and its Applications · doi:10.1016/s0378-4371(01)00373-9 · Cited by 57 · see citing works

Analysis of Bioheat Transport Through a Dual Layer Biological Media

Mahjoob, S., & Kambiz Vafai, B. (2009) · ASME Journal of Heat and Mass Transfer · doi:10.1115/1.4000060 · Cited by 56 · see citing works

Prediction and parametric analysis of thermal profiles within heated human skin using the boundary element method

Ng, E. Y. K., Tan, H. M., & Ooi, E. H. (2010) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2009.0224 · Cited by 56 · see citing works

Two-Phase Computerized Planning of Cryosurgery Using Bubble-Packing and Force-Field Analogy

Tanaka, D., Shimada, K., & Rabin, Y. (2005) · Journal of Biomechanical Engineering · doi:10.1115/1.2136166 · Cited by 55 · see citing works

Thermoregulatory Modeling for Cold Stress

Xu, X., & Tikuisis, P. (2014) · Comprehensive physiology · doi:10.1002/cphy.c130047 · Cited by 55 · see citing works

A general model for the propagation of uncertainty in measurements into heat transfer simulations and its application to cryosurgery

Rabin, Y. (2003) · Cryobiology · doi:10.1016/s0011-2240(03)00015-4 · Cited by 54 · see citing works

On the study of the freeze–thaw thermal process of a biological system

Chua, K. J., & Chou, S. K. (2009) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2009.07.001 · Cited by 50 · see citing works

Heat Transfer in Living Systems: Current Opportunities

Diller, K. R., & Ryan, T. P. (1998) · ASME Journal of Heat and Mass Transfer · doi:10.1115/1.2825901 · Cited by 50 · see citing works

Thermal Energy Harvesting on the Bodily Surfaces of Arms and Legs through a Wearable Thermo-Electric Generator

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Adaptive Real-Time Bioheat Transfer Models for Computer-Driven MR-Guided Laser Induced Thermal Therapy

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Interstitial hyperthermia treatment of countercurrent vascular tissue: A comparison of Pennes, WJ and porous media bioheat models

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Temperature Distributions for Regional Hypothermia Based on Nonlinear Bioheat Equation of Pennes Type: Dermis and Subcutaneous Tissues

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Numerical Design of Experiment for Sensitivity Analysis—Application to Skin Burn Injury Prediction

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Influence of Tissue Thermophysical Characteristics and Situ-Cooling on the Detection of Breast Cancer

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Whole-Body Human Thermal Modeling, an Alternative to Immersion in Cold Water and Other Unpleasant Endeavors

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Graphics Processing Unit-Based Bioheat Simulation to Facilitate Rapid Decision Making Associated with Cryosurgery Training

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Comparative analysis of thermal damage to laser-irradiated breast tumor based on Fourier conduction and non-Fourier heat conduction models: A numerical study

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A heat transfer model of the human upper limbs

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Numerical Simulation of a BPH Thermal Therapy—A Case Study Involving TUMT

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Simulation of a biomimetic façade using TRNSYS

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Development of a numerical multi-layer model of skin subjected to pulsed laser irradiation to optimise thermal stimulation in photorejuvenation procedure

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A New Transient Bio-Heat Model of the Human Body

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A General Set of Bioheat Transfer Equations Based on the Volume Averaging Theory

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NEW DEVELOPMENTS IN BIOHEAT AND MASS TRANSFER MODELING

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