메뉴 건너뛰기




Volumn 46, Issue 5, 2004, Pages 447-461

A fourth-order compact finite-difference scheme for solving a 1-D pennes' bioheat transfer equation in a triple-layered skin structure

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; FINITE DIFFERENCE METHOD; HEATING; LASER BEAM EFFECTS; LINEAR SYSTEMS; PROBLEM SOLVING; SKIN; TUMORS;

EID: 9144268501     PISSN: 10407790     EISSN: None     Source Type: Journal    
DOI: 10.1080/104077990503014     Document Type: Article
Times cited : (27)

References (34)
  • 1
    • 0021445285 scopus 로고
    • Predicting flash fire protection of clothing from laboratory tests using second-degree burn to rate performance
    • W. P. Bechnke, Predicting Flash Fire Protection of Clothing from Laboratory Tests Using Second-Degree Burn to Rate Performance, Fire Mater., vol. 8, pp. 57-63, 1984.
    • (1984) Fire Mater. , vol.8 , pp. 57-63
    • Bechnke, W.P.1
  • 4
    • 84953656097 scopus 로고
    • Studies of thermal injuries II: The relative importance of time and surface temperature in the causation of cutaneous burns
    • A. R. Moritz and F. C. Henriques, Studies of Thermal Injuries II: The Relative Importance of Time and Surface Temperature in the Causation of Cutaneous Burns, Am. J. Pathol., vol. 23, pp. 695-700, 1947.
    • (1947) Am. J. Pathol. , vol.23 , pp. 695-700
    • Moritz, A.R.1    Henriques, F.C.2
  • 5
    • 70449240466 scopus 로고
    • Relationship between pain and tissue damage due to thermal radiation
    • A. M. Stoll and L. C. Greene, Relationship between Pain and Tissue Damage due to Thermal Radiation, J. Appl. Physiol., vol. 14, pp. 373-382, 1959.
    • (1959) J. Appl. Physiol. , vol.14 , pp. 373-382
    • Stoll, A.M.1    Greene, L.C.2
  • 6
    • 0028483268 scopus 로고
    • A finite element model of skin subjected to a flash fire
    • D. A. Torvi and D. J. Dale, A Finite Element Model of Skin Subjected to a Flash Fire, ASME J. Biomech. Eng., vol. 116, pp. 250-255, 1994.
    • (1994) ASME J. Biomech. Eng. , vol.116 , pp. 250-255
    • Torvi, D.A.1    Dale, D.J.2
  • 7
    • 0026169640 scopus 로고
    • Analysis of tissue injury by burning: Comparison of in situ and skin flap models
    • K. R. Killer and L. J. Hayes, Analysis of Tissue Injury by Burning: Comparison of in Situ and Skin Flap Models, Int. J. Heat Mass Transfer, vol. 34, pp. 1393-1406, 1991.
    • (1991) Int. J. Heat Mass Transfer , vol.34 , pp. 1393-1406
    • Killer, K.R.1    Hayes, L.J.2
  • 8
    • 84888360034 scopus 로고
    • Analysis of tissue and arterial temperature in the resting human forearm
    • H. H. Pennes, Analysis of Tissue and Arterial Temperature in the Resting Human Forearm, J. Appl. Physiol., vol. 1, pp. 93-122, 1948.
    • (1948) J. Appl. Physiol. , vol.1 , pp. 93-122
    • Pennes, H.H.1
  • 9
    • 20944451230 scopus 로고    scopus 로고
    • Unsteady one-dimensional analytical solutions for bioheat transfer equations
    • R. Cai and N. Zhang, Unsteady One-Dimensional Analytical Solutions for Bioheat Transfer Equations, Prog. Nat. Sci., vol. 8, pp. 733-739, 1998.
    • (1998) Prog. Nat. Sci. , vol.8 , pp. 733-739
    • Cai, R.1    Zhang, N.2
  • 10
    • 0000366367 scopus 로고
    • A form of heat conduction equation which eliminates the paradox of instantaneous propagation
    • C. Cattaneo, A Form of Heat Conduction Equation which Eliminates the Paradox of Instantaneous Propagation, Compte Rendus, vol. 247, pp. 431-433, 1958.
    • (1958) Compte Rendus , vol.247 , pp. 431-433
    • Cattaneo, C.1
  • 11
    • 0026911063 scopus 로고
    • Boundary element method analysis for the bioheat transfer equation
    • C. L. Chan, Boundary Element Method Analysis for the Bioheat Transfer Equation, J. Biomech. Eng., vol. 114, pp. 358-365, 1992.
    • (1992) J. Biomech. Eng. , vol.114 , pp. 358-365
    • Chan, C.L.1
  • 12
    • 0024939981 scopus 로고
    • Comparison of three bioheat transfer models using finite difference techniques
    • J. C. Chato, J. J. Eckburg, and E. Hurlburt, Comparison of Three Bioheat Transfer Models Using Finite Difference Techniques, ASME Heat Transfer Div., vol. 126, pp. 17-21, 1989.
    • (1989) ASME Heat Transfer Div. , vol.126 , pp. 17-21
    • Chato, J.C.1    Eckburg, J.J.2    Hurlburt, E.3
  • 13
    • 0034294339 scopus 로고    scopus 로고
    • Comparison of finite element and heated disc models of tissue heating by ultrasound
    • C. Doody, F. A. Duck, and V. F. Humphrey, Comparison of Finite Element and Heated Disc Models of Tissue Heating by Ultrasound, Ultrasound Med. Biol., vol. 26, pp. 1347-1355, 2000.
    • (2000) Ultrasound Med. Biol. , vol.26 , pp. 1347-1355
    • Doody, C.1    Duck, F.A.2    Humphrey, V.F.3
  • 14
    • 0021127699 scopus 로고
    • Biological effects of heat
    • E. J. Hall and L. Roizin-Towle, Biological Effects of Heat, Cancer Res., vol. 44, pp. 4708s-4713s, 1984.
    • (1984) Cancer Res. , vol.44
    • Hall, E.J.1    Roizin-Towle, L.2
  • 15
    • 0028439376 scopus 로고
    • Analytical solutions of pennes bioheat transfer equation with a blood vessel
    • H. W. Huang, C. L. Chan, and R. B. Roemer, Analytical Solutions of Pennes Bioheat Transfer Equation with a Blood Vessel, J. Biomech. Eng., vol. 116, pp. 208-212, 1994.
    • (1994) J. Biomech. Eng. , vol.116 , pp. 208-212
    • Huang, H.W.1    Chan, C.L.2    Roemer, R.B.3
  • 16
    • 0025471339 scopus 로고
    • Hyperbolic heat conduction equation for material with a non-homogeneous inner structure
    • W. Kaminski, Hyperbolic Heat Conduction Equation for Material with a Non-homogeneous Inner Structure, ASME J. Heat Transfer, vol. 112, pp. 555-560, 1990.
    • (1990) ASME J. Heat Transfer , vol.112 , pp. 555-560
    • Kaminski, W.1
  • 17
    • 0032932502 scopus 로고    scopus 로고
    • New thermal wave aspects on burn evaluation of skin subjected to instantaneous heating
    • J. Liu, X. Chen, and L. X. Xu, New Thermal Wave Aspects on Burn Evaluation of Skin Subjected to Instantaneous Heating, IEEE Trans. on Biomed. Eng., vol. 46, pp. 420-428, 1999.
    • (1999) IEEE Trans. on Biomed. Eng. , vol.46 , pp. 420-428
    • Liu, J.1    Chen, X.2    Xu, L.X.3
  • 18
    • 0343238160 scopus 로고    scopus 로고
    • Boundary information based diagnostics on the thermal states of biological bodies
    • J. Liu and L. X. Xu, Boundary Information Based Diagnostics on the Thermal States of Biological Bodies, Int. J. Heat Mass Transfer, vol. 43, pp. 2827-2839, 2000.
    • (2000) Int. J. Heat Mass Transfer , vol.43 , pp. 2827-2839
    • Liu, J.1    Xu, L.X.2
  • 19
    • 0347036457 scopus 로고    scopus 로고
    • Generalized time delay bioheat equation and preliminary analysis on its wave nature
    • J. Liu, X. Zhang, and C. Wang, Generalized Time Delay Bioheat Equation and Preliminary Analysis on its Wave Nature, Chinese Sci. Bull., vol. 42, pp. 289-292, 1997.
    • (1997) Chinese Sci. Bull. , vol.42 , pp. 289-292
    • Liu, J.1    Zhang, X.2    Wang, C.3
  • 20
    • 0033325589 scopus 로고    scopus 로고
    • Numerical model of heat transfer between blood vessel and biological tissue
    • E. Majchrzak and B. Mochnacki, Numerical Model of Heat Transfer between Blood Vessel and Biological Tissue, Comput. Assist. Mech. Eng. Sci., vol. 6, pp. 439-447, 1999.
    • (1999) Comput. Assist. Mech. Eng. Sci. , vol.6 , pp. 439-447
    • Majchrzak, E.1    Mochnacki, B.2
  • 21
    • 0029357040 scopus 로고
    • Experimental evidence of hyperbolic heat conduction in processes meat
    • K. Mitra, S. Kumar, A. Vedavarz, and M. K. Moallemi, Experimental Evidence of Hyperbolic Heat Conduction in Processes Meat, ASME J. Heat Transfer, vol. 117, pp. 568-573, 1995.
    • (1995) ASME J. Heat Transfer , vol.117 , pp. 568-573
    • Mitra, K.1    Kumar, S.2    Vedavarz, A.3    Moallemi, M.K.4
  • 22
    • 0029423453 scopus 로고
    • Evaluation and application of the basis element method: A rapid, 3-D algorithm for bioheat transfer calculation
    • HTD
    • W. H. Newman, G. T. Martin, and D. A. Sidney, Evaluation and Application of the Basis Element Method: A Rapid, 3-D Algorithm for Bioheat Transfer Calculation, ASME Advances in Heat and Mass Transfer in Biotechnology, HTD-Vol. 322, pp. 49-55, 1995.
    • (1995) ASME Advances in Heat and Mass Transfer in Biotechnology , vol.322 , pp. 49-55
    • Newman, W.H.1    Martin, G.T.2    Sidney, D.A.3
  • 23
    • 0022060772 scopus 로고
    • A new simplifies equation for the effect of blood flow on local average tissue temperature
    • S. Weinbaum and L. M. Jiji, A New Simplifies Equation for the Effect of Blood Flow on Local Average Tissue Temperature, ASME J. Biomech. Eng., vol. 107, pp. 131-139, 1985.
    • (1985) ASME J. Biomech. Eng. , vol.107 , pp. 131-139
    • Weinbaum, S.1    Jiji, L.M.2
  • 24
    • 0031145869 scopus 로고    scopus 로고
    • Bioheat equation of the human thermal system
    • Y. Xuan and W. Roetzel, Bioheat Equation of the Human Thermal System, Chem. Eng. Technol., vol. 20, pp. 268-276, 1997.
    • (1997) Chem. Eng. Technol. , vol.20 , pp. 268-276
    • Xuan, Y.1    Roetzel, W.2
  • 25
    • 0026389115 scopus 로고
    • The theoretical evaluation of the pennes, the Chen-Holmes and the Weinbaum-Jiji bioheat transfer models in the pig rebal cortex
    • L. X. Xu, M. M. Chen, K. R. Holmes, and H. Arkin, The Theoretical Evaluation of the Pennes, the Chen-Holmes and the Weinbaum-Jiji Bioheat Transfer Models in the Pig Rebal Cortex, Adv. Biol. Heat Mass Transfer, vol. 189, pp. 15-21, 1991.
    • (1991) Adv. Biol. Heat Mass Transfer , vol.189 , pp. 15-21
    • Xu, L.X.1    Chen, M.M.2    Holmes, K.R.3    Arkin, H.4
  • 26
    • 0032295415 scopus 로고    scopus 로고
    • Discussion on nonequilibrium heat transfer in biological system
    • L. X. Xu and J. Liu, Discussion on Nonequilibrium Heat Transfer in Biological System, ASME Advances in Heat and Mass Transfer in Biotechnology, HDT-Vol. 362/BED-Vol. 40, pp. 13-17, 1998.
    • (1998) ASME Advances in Heat and Mass Transfer in Biotechnology , vol.HDT- 362-BED- 40 , pp. 13-17
    • Xu, L.X.1    Liu, J.2
  • 27
    • 0027692120 scopus 로고
    • Thermal (heat) shock biothermomechanical viewpoint
    • W. H. Yang, Thermal (Heat) Shock Biothermomechanical Viewpoint, ASME J. Biomech. Eng., vol. 5, pp. 617-621, 1993.
    • (1993) ASME J. Biomech. Eng. , vol.5 , pp. 617-621
    • Yang, W.H.1
  • 28
    • 9144220381 scopus 로고
    • Compact finite difference schemes with spectral-like resolution
    • S. K. Lele, Compact Finite Difference Schemes with Spectral-like Resolution, J. Comput. Phys., vol. 103, pp. 16-42, 1992.
    • (1992) J. Comput. Phys. , vol.103 , pp. 16-42
    • Lele, S.K.1
  • 29
    • 0028740179 scopus 로고
    • Finite element thermal modelling of the human body under hyperthermia treatment for cancer
    • I. Chatterjee and R. A. Adams, Finite Element Thermal Modelling of the Human Body under Hyperthermia Treatment for Cancer, Int. J. Comput. Appl. Technol., vol. 7, pp. 151-159, 1994.
    • (1994) Int. J. Comput. Appl. Technol. , vol.7 , pp. 151-159
    • Chatterjee, I.1    Adams, R.A.2
  • 30
    • 0024886696 scopus 로고
    • Predictions of three-dimensional temperature distributions during hyperthermia experiments
    • S. T. Clegg and R. B. Roemer, Predictions of Three-Dimensional Temperature Distributions during Hyperthermia Experiments, ASME Heat Transfer Div., vol. 126, pp. 29-35, 1989.
    • (1989) ASME Heat Transfer Div. , vol.126 , pp. 29-35
    • Clegg, S.T.1    Roemer, R.B.2
  • 31
    • 0027641570 scopus 로고
    • A semilinear state and parameter estimation algorithm for inverse hyperthermia problems
    • Liauh and R. B. Roemer, A Semilinear State and Parameter Estimation Algorithm for Inverse Hyperthermia Problems, J. Biomech. Eng., vol. 115, pp. 257-261, 1993.
    • (1993) J. Biomech. Eng. , vol.115 , pp. 257-261
    • Liauh1    Roemer, R.B.2
  • 32
    • 0025818915 scopus 로고
    • Optimal power deposition in hyperthermia I. The Treatment Goal: The ideal temperature distribution: The role of large blood vessels
    • R. B. Roemer, Optimal Power Deposition in Hyperthermia I. The Treatment Goal: The Ideal Temperature Distribution: The Role of Large Blood Vessels, J. Hyperthermia, vol. 7, pp. 317-341, 1991.
    • (1991) J. Hyperthermia , vol.7 , pp. 317-341
    • Roemer, R.B.1
  • 33
    • 0024882616 scopus 로고
    • A comparison of bioheat transfer and effective conductivity equation predictions to experimental hyperthermia data
    • R. B. Roemer, E. G. Moros, and K. Hynynen, A Comparison of Bioheat Transfer and Effective Conductivity Equation Predictions to Experimental Hyperthermia Data, ASME Heat Transfer Div., vol. 126, pp. 11-15, 1989.
    • (1989) ASME Heat Transfer Div. , vol.126 , pp. 11-15
    • Roemer, R.B.1    Moros, E.G.2    Hynynen, K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.