A Survey of Computer Simulations of Hyperthermia Treatments

This paper is a review of the state-of-the-art of-a new-area in hyperthermia: computerized simulations of hyperthermia treatments. One of the more difficult problems in hyperthermia is the determination of the complete temperature field throughout both tumor and normal tissue. Theoretical methods, of estimating temperature distributions are needed to help address this problem. In this paper we divide this field into four areas: comparative, prospective, concurrent, and retrospective. We then summarize the mathematical formulations of both the electromagnetic and ultrasonic power deposition problems and the heat transfer problem. This is followed by a review of the numerical techniques available for calculating the power deposition in the tissue and then finding the resulting temperature distribution. The paper concludes with a description of a series of applications drawn from the current literature.

[1]  C. O. Pedersen,et al.  On the Feasibility of Obtaining Three-Dimensional Information From Thermographic Measurements , 1977 .

[2]  R. Roemer,et al.  Uniform regional heating of the lower trunk: numerical evaluation of tumor temperature distributions. , 1983, International journal of radiation oncology, biology, physics.

[3]  J. Patterson,et al.  The role of thermal conduction in hyperthermia. , 1980, International journal of radiation oncology, biology, physics.

[4]  M M Chen,et al.  Computer aided tomographic thermography: a numerical simulation. , 1978, Journal of bioengineering.

[5]  J W Strohbehn,et al.  Temperature distributions from interstitial rf electrode hyperthermia systems: theoretical predictions. , 1983, International journal of radiation oncology, biology, physics.

[6]  A localized current field hyperthermia system for use with 192-iridium interstitial implants. , 1982, Medical physics.

[7]  J. Strohbehn,et al.  The Electromagnetic Field of an Insulated Antenna in a Conducting Or Dielectric Medium , 1983 .

[8]  G. M. Piersol,et al.  The absorption of electromagnetic energy in body tissues; a review and critical analysis. , 1955, American journal of physical medicine.

[9]  K. Foster,et al.  RF-field interactions with biological systems: Electrical properties and biophysical mechanisms , 1980, Proceedings of the IEEE.

[10]  J D Doss Calculation of electric fields in conductive media. , 1982, Medical physics.

[11]  S. C. Hill,et al.  Theoretical temperature profiles for concentric coil induction heating devices in a two-dimensional, axi-asymmetric, inhomogeneous patient model. , 1984, International journal of radiation oncology, biology, physics.

[12]  Cetas Tc Thermal dosimetry during hyperthermia. , 1982 .

[13]  A W Guy,et al.  Calculation by the method of finite differences of the temperature distribution in layered tissues. , 1973, IEEE transactions on bio-medical engineering.

[14]  M. Astrahan,et al.  A temperature regulating circuit for experimental localized current field hyperthermia systems. , 1980, Medical physics.

[15]  L. Taylor,et al.  Implantable radiators for cancer therapy by microwave hyperthermia , 1980, Proceedings of the IEEE.

[16]  Stuchly,et al.  DIELECTRIC PROPERTIES OF BIOLOGICAL SUBSTANCES–TABULATED , 1980 .

[17]  R C Miller,et al.  Clinical hyperthermia: Results of a phase I trial employing hyperthermia alone or in combination with external beam or interstitial radiotherapy , 1982, Cancer.

[18]  S. C. Hill,et al.  Power deposition patterns in magnetically-induced hyperthermia: a two-dimensional low-frequency numerical analysis. , 1983, International journal of radiation oncology, biology, physics.

[19]  R K Jain,et al.  Temperature distributions and thermal response in humans. I. Simulations of various modes of whole-body hyperthermia in normal subjects. , 1982, Medical physics.

[20]  D. Lynch Comparison of Spectral and Time-Stepping Approaches for Finite Element Modeling of Tidal Circulation , 1981 .

[21]  William G. Gray,et al.  Finite element simulation of flow in deforming regions , 1980 .

[22]  Mitchell M. Goodsitt,et al.  Continuous waves generated by focused radiators , 1981 .

[23]  H. F. Bowman,et al.  Theory, measurement, and application of thermal properties of biomaterials. , 1975, Annual review of biophysics and bioengineering.

[24]  J. Oleson Hyperthermia by magnetic induction: I. Physical characteristics of the technique. , 1982, International journal of radiation oncology, biology, physics.

[25]  D. Morton,et al.  Thermal distribution of magnetic-loop induction hyperthermia in phantoms and animals: effect of the living state and velocity of heating. , 1982, International journal of radiation oncology, biology, physics.

[26]  R. Jain,et al.  Thermal interactions between normal and neoplastic tissues in the rat, rabbit, swine, and dog during hyperthermia. , 1980, Medical physics.

[27]  Robert B. Roemer,et al.  Temperature Distributions Caused by Dynamic Scanning of Focused Ultrasound Transducers , 1982 .

[28]  J. Lagendijk The influence of bloodflow in large vessels on the temperature distribution in hyperthermia. , 1982, Physics in medicine and biology.

[29]  R B Roemer,et al.  A direct substitution, equation error technique for solving the thermographic tomography problem. , 1983, Journal of biomechanical engineering.

[30]  Roger C. Jones,et al.  Magnetic Induction Heating of Ferromagnetic Implants for Inducing Localized Hyperthermia in Deep-Seated Tumors , 1984, IEEE Transactions on Biomedical Engineering.

[31]  K. Foster,et al.  Dielectric properties of tumor and normal tissues at radio through microwave frequencies. , 1981, The Journal of microwave power.

[32]  J W Strohbehn,et al.  An invasive microwave antenna for locally-induced hyperthermia for cancer therapy. , 1979, The Journal of microwave power.

[33]  Robert B. Roemer,et al.  A Mathematical Model of the Human Temperature Regulatory System - Transient Cold Exposure Response , 1976, IEEE Transactions on Biomedical Engineering.

[34]  R. Roemer,et al.  Numerical Simulation of Magnetic Induction Heating of Tumors with Ferromagnetic Seed Implants , 1984, IEEE Transactions on Biomedical Engineering.

[35]  N T Evans,et al.  Considerations of radiofrequency induction heating for localised hyperthermia. , 1982, Physics in medicine and biology.

[36]  K. Foster,et al.  The UHF and microwave dielectric properties of normal and tumour tissues: variation in dielectric properties with tissue water content. , 1980, Physics in medicine and biology.

[37]  J J Lagendijk,et al.  A mathematical model to calculate temperature distributions in human and rabbit eyes during hyperthermic treatment. , 1982, Physics in medicine and biology.

[38]  C. Durney,et al.  Numerical calculations of low‐frequency TE fields in arbitrarily shaped inhomogeneous lossy dielectric cylinders , 1983 .

[39]  C. Durney Electromagnetic dosimetry for models of humans and animals: A review of theoretical and numerical techniques , 1980, Proceedings of the IEEE.

[40]  K. Hynynen,et al.  The effects of some physical factors on the production of hyperthermia by ultrasound in neoplastic tissues , 1981, Radiation and environmental biophysics.

[41]  A. Segal,et al.  A Computational Model of the Electromagnetic Heating of Biological Tissue with Application to Hyperthermic Cancer Therapy , 1983, IEEE Transactions on Biomedical Engineering.

[42]  P. Turner,et al.  Two-dimensional technique to calculate the EM power deposition pattern in the human body. , 1982, The Journal of microwave power.

[43]  B. Stuart Trembly,et al.  Blood Flow Effects on the Temperature Distributions from an Invasive Microwave Antenna Array Used in Cancer Therapy , 1982, IEEE Transactions on Biomedical Engineering.

[44]  A. Taflove,et al.  Numerical Solution of Steady-State Electromagnetic Scattering Problems Using the Time-Dependent Maxwell's Equations , 1975 .

[45]  R. Dickinson,et al.  The Design of Focused Transducers for Ultrasound Hyperthermia , 1982 .

[46]  J. J. Douglas Alternating direction methods for three space variables , 1962 .

[47]  H. H. Pennes Analysis of tissue and arterial blood temperatures in the resting human forearm. , 1948, Journal of applied physiology.

[48]  I. Brezovich,et al.  Temperature distributions in hyperthermia by electromagnetic induction: a theoretical model for the thorax. , 1983, Medical Physics (Lancaster).

[49]  J. Lehmann,et al.  Microwave Heating of Simulated Human Limbs by Aperture Sources , 1971 .

[50]  J C Chato,et al.  Heat transfer to blood vessels. , 1980, Journal of biomechanical engineering.

[51]  R. Roemer,et al.  Magnetic induction heating of tissue: numerical evaluation of tumor temperature distributions. , 1983, International journal of radiation oncology, biology, physics.

[52]  D W Armitage,et al.  Radiofrequency-induced hyperthermia: computer simulation of specific absorption rate distributions using realistic anatomical models. , 1983, Physics in medicine and biology.

[53]  E. Wissler,et al.  Steady-state temperature distribution in man. , 1961, Journal of applied physiology.

[54]  P. Silvester,et al.  Exterior finite elements for 2-dimensional field problems with open boundaries , 1977 .

[55]  J. Patterson,et al.  The role of blood flow in hyperthermia. , 1979, International journal of radiation oncology, biology, physics.

[56]  J. Strohbehn,et al.  A Method for Measurement of the Permittivity of Thin Samples , 1979 .

[57]  R. Jain Effect of Inhomogeneities and Finite Boundaries on Temperature Distributions in a Perfused Medium, With Application to Tumors , 1978 .

[58]  William G. Gray,et al.  A wave equation model for finite element tidal computations , 1979 .

[59]  Ashley F. Emery,et al.  The use of heat transfer principles in designing optimal diathermy and cancer treatment modalities , 1982 .

[60]  Allen Taflove,et al.  Application of the Finite-Difference Time-Domain Method to Sinusoidal Steady-State Electromagnetic-Penetration Problems , 1980, IEEE Transactions on Electromagnetic Compatibility.

[61]  J. Strohbehn Theoretical temperature distributions for solenoidal-type hyperthermia systems. , 1982, Medical physics.

[62]  D. Morton,et al.  Radio frequency hyperthermia of advanced human sarcomas , 1981, Journal of Surgical Oncology.

[63]  C. P. Griffice,et al.  Spherical wave decomposition approach to ultrasonic field calculations , 1981 .

[64]  J. Hand,et al.  Temperature distribution in tissues subjected to local hyperthermia by RF induction heating. , 1982, The British journal of cancer. Supplement.

[65]  Time-Dependent Microwave Heating and Surface Cooling of Simulated Living Tissues , 1981 .

[66]  J. Zemanek Beam Behavior within the Nearfield of a Vibrating Piston , 1971 .

[67]  P. Silvester Tetrahedral polynomial finite elements for the Helmholtz equation , 1972 .

[68]  A W Guy,et al.  Calculations of therapeutic heat generated by ultrasound in fat-muscle-bone layers. , 1974, IEEE transactions on bio-medical engineering.

[69]  R. Jain,et al.  TEMPERATURE DISTRIBUTIONS IN NORMAL AND NEOPLASTIC TISSUES DURING NORMOTHERMIA AND HYPERTHERMIA * , 1980, Annals of the New York Academy of Sciences.

[70]  THE APPLICATION OF THE BIOHEAT EQUATION TO THE DESIGN OF THERMAL PROTOCOLS FOR LOCAL HYPERTHERMIA * , 1980, Annals of the New York Academy of Sciences.