Model-based optimization of phased arrays for electromagnetic hyperthermia

A summary of recent progress in model-based optimization of phased arrays for electromagnetic hyperthermia is reported. The electromagnetic phased array has the potential to overcome many of the difficulties associated with noninvasive hyperthermia, and is more effective if the driving amplitudes and phases of the array are carefully selected. A computationally efficient method for the optimization of the steady-state temperature distribution, a major driver of therapeutic response, has been developed. By employing a dual set of superposition principles, the technique minimizes the number of computationally expensive forward problems that must be solved in the course of an optimization. Additionally, a scheme that employs emerging noninvasive tomographic temperature estimation techniques, such as magnetic resonance thermometry, to perform optimization of a phased array has been developed and demonstrated experimentally. Conclusions about the potential value of each of the developed techniques are reached and directions for further research are indicated.

[1]  Paul F. Turner,et al.  Regional Hyperthermia with an Annular Phased Array , 1984, IEEE Transactions on Biomedical Engineering.

[2]  E. Polak Introduction to linear and nonlinear programming , 1973 .

[3]  K D Paulsen,et al.  Optimization of pelvic heating rate distributions with electromagnetic phased arrays. , 1999, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.

[4]  R B Roemer,et al.  Engineering aspects of hyperthermia therapy. , 1999, Annual review of biomedical engineering.

[5]  J K Potocki,et al.  Concurrent hyperthermia estimation schemes based on extended Kalman filtering and reduced-order modelling. , 1993, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.

[6]  Karl Johan Åström,et al.  Adaptive Control (2 ed.) , 1995 .

[7]  Dennis M. Sullivan,et al.  Three-dimensional computer simulation in deep regional hyperthermia using the finite-difference time-domain method , 1990 .

[8]  Babak Behnia Feedback Control of Phased Array Electromagnetic Hyperthermia Using MRI Temperature Mapping , 2002 .

[9]  Giorgio A. Lovisolo,et al.  Focusing of 915 MHz Electromagnetic Power on Deep Human Tissues: A Mathematical Model Study , 1984, IEEE Transactions on Biomedical Engineering.

[10]  P Wust,et al.  Simulation studies promote technological development of radiofrequency phased array hyperthermia. , 1996, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.

[11]  R Vanderby,et al.  Temperature-dependent versus constant-rate blood perfusion modelling in ferromagnetic thermoseed hyperthermia: results with a model of the human prostate. , 1994, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.

[12]  A. Hart,et al.  Comparison of radiotherapy alone with radiotherapy plus hyperthermia in locally advanced pelvic tumours: a prospective, randomised, multicentre trial , 2000, The Lancet.

[13]  H. Arkin,et al.  Recent developments in modeling heat transfer in blood perfused tissues , 1994, IEEE Transactions on Biomedical Engineering.

[14]  J. Camart,et al.  Modeling of various kinds of applicators used for microwave hyperthermia based on the FDTD method , 1996 .

[15]  W. Dewey,et al.  Thermal dose determination in cancer therapy. , 1984, International journal of radiation oncology, biology, physics.

[16]  Chris J. Diederich,et al.  An Adaptive-FocusingAlgorithm for a Microwave Planar Phased-Array Hyperthermia System , 1993 .

[17]  J. Poorter,et al.  Noninvasive MRI Thermometry with the Proton Resonance Frequency (PRF) Method: In Vivo Results in Human Muscle , 1995, Magnetic resonance in medicine.

[18]  D. Sullivan,et al.  Direct use of CT scans for hyperthermia treatment planning , 1992, IEEE Transactions on Biomedical Engineering.

[19]  F. Bardati,et al.  SAR optimization in a phased array radiofrequency hyperthermia system , 1995, IEEE Transactions on Biomedical Engineering.

[20]  R M Henkelman,et al.  Ex vivo tissue‐type independence in proton‐resonance frequency shift MR thermometry , 1998, Magnetic resonance in medicine.

[21]  M. Seebass,et al.  Impact of nonlinear heat transfer on temperature control in regional hyperthermia , 1999, IEEE Transactions on Biomedical Engineering.

[22]  C. Diederich,et al.  Experimental Evaluation of an Adaptive Focusing Algorithm for a Microwave Planar Phased-Array Hyperthermia System at UCSF , 1993 .

[23]  J. Overgaard,et al.  Randomised trial of hyperthermia as adjuvant to radiotherapy for recurrent or metastatic malignant melanoma , 1995, The Lancet.

[24]  Dennis M. Sullivan,et al.  Mathematical methods for treatment planning in deep regional hyperthermia , 1991 .

[25]  R. Seip,et al.  Noninvasive estimation of tissue temperature response to heating fields using diagnostic ultrasound , 1995, IEEE Transactions on Biomedical Engineering.

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

[27]  Andrew G. Webb,et al.  Optimization of electromagnetic phased-arrays for hyperthermia via magnetic resonance temperature estimation , 2002, IEEE Transactions on Biomedical Engineering.

[28]  A. Taflove,et al.  Initial results for automated computational modeling of patient-specific electromagnetic hyperthermia , 1992, IEEE Transactions on Biomedical Engineering.

[29]  Amir Boag,et al.  Analysis and optimization of waveguide multiapplicator hyperthermia systems , 1993, IEEE Transactions on Biomedical Engineering.

[30]  P Wust,et al.  Electromagnetic phased arrays for regional hyperthermia: optimal frequency and antenna arrangement. , 2001, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.

[31]  R. Rietbroek,et al.  Feasibility, toxicity, and preliminary results of weekly loco-regional hyperthermia and cisplatin in patients with previously irradiated recurrent cervical carcinoma or locally advanced bladder cancer. , 1996, International journal of radiation oncology, biology, physics.

[32]  Ervin B. Podgorsak,et al.  Noninvasive thermometry with a clinical x‐ray CT scanner , 1982 .

[33]  R B Roemer,et al.  Optimal actuator placement for large scale systems: a reduced-order modelling approach. , 1998, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.

[34]  Takeo Ohnishi,et al.  Bax and Bcl‐2 protein expression following radiation therapy versus radiation plus thermoradiotherapy in stage IIIB cervical carcinoma , 2000, Cancer.

[35]  Jian-Ming Jin,et al.  Model-order reduction of nonlinear models of electromagnetic phased-array hyperthermia , 2003, IEEE Transactions on Biomedical Engineering.

[36]  J. Pribetich,et al.  Complete three-dimensional modeling of new microstrip-microslot applicators for microwave hyperthermia using the FDTD method , 1994 .

[37]  Richard L. Magin,et al.  Focused Array Hyperthermia Applicator: Theory and Experiment , 1983, IEEE Transactions on Biomedical Engineering.

[38]  K. Kuroda,et al.  A precise and fast temperature mapping using water proton chemical shift , 1995, Magnetic resonance in medicine.

[39]  B.J. James,et al.  Creation of three-dimensional patient models for hyperthermia treatment planning , 1992, IEEE Transactions on Biomedical Engineering.

[40]  M. Dewhirst,et al.  Relationships among tumor temperature, treatment time, and histopathological outcome using preoperative hyperthermia with radiation in soft tissue sarcomas. , 1992, International journal of radiation oncology, biology, physics.

[41]  P Wust,et al.  ESHO quality assurance guidelines for regional hyperthermia. , 1998, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.

[42]  M. Kowalski,et al.  A temperature-based feedback control system for electromagnetic phased-array hyperthermia: theory and simulation. , 2003, Physics in medicine and biology.

[43]  R. J. Joseph,et al.  Advances in Computational Electrodynamics: The Finite - Di erence Time - Domain Method , 1998 .

[44]  C. Balanis Advanced Engineering Electromagnetics , 1989 .

[45]  Hao Ling,et al.  Experimental Investigation of a Retro-Focusing Microwave Hyperthermia Applicator: Conjugate-Field Matching Scheme , 1986 .

[46]  Om P. Gandhi,et al.  Numerical simulation of annular phased arrays for anatomically based models using the FDTD method , 1989 .

[47]  P M Schlag,et al.  Preoperative radiochemotherapy in locally advanced or recurrent rectal cancer: regional radiofrequency hyperthermia correlates with clinical parameters. , 2000, International journal of radiation oncology, biology, physics.

[48]  K D Paulsen,et al.  Initial in vivo experience with EIT as a thermal estimator during hyperthermia. , 1996, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.

[49]  Dennis M. Sullivan,et al.  Comparison of measured and simulated data in an annular phased array using an inhomogeneous phantom , 1992 .

[50]  J.K. Potocki,et al.  Reduced-order modeling for hyperthermia control , 1992, IEEE Transactions on Biomedical Engineering.

[51]  S L George,et al.  Sensitivity of hyperthermia trial outcomes to temperature and time: implications for thermal goals of treatment. , 1993, International journal of radiation oncology, biology, physics.

[52]  A W Dutton,et al.  A comparison of reduced-order modelling techniques for application in hyperthermia control and estimation. , 1998, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.

[53]  K. Yee Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media , 1966 .

[54]  R. W. Lau,et al.  Electromagnetic and thermal modeling of SAR and temperature fields in tissue due to an RF decoupling coil , 1999, Magnetic resonance in medicine.

[55]  Jian-Ming Jin,et al.  Computation of the signal-to-noise ratio of high-frequency magnetic resonance imagers , 2000, IEEE Transactions on Biomedical Engineering.

[56]  A. H. Barrett,et al.  Microwave thermography: principles, methods and clinical applications. , 1979, The Journal of microwave power.

[57]  Carey M. Rappaport,et al.  FDTD verification of deep-set brain tumor hyperthermia using a spherical microwave source distribution , 1996 .

[58]  R L Levin,et al.  Hyperthermia system combined with a magnetic resonance imaging unit. , 1990, Medical physics.

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

[60]  Babak Behnia,et al.  Closed‐loop feedback control of phased‐array microwave heating using thermal measurements from magnetic resonance imaging , 2002 .

[61]  Magdy F. Iskander,et al.  FDTD analysis of power deposition patterns of an array of interstitial antennas for use in microwave hyperthermia , 1992 .

[62]  O. Gandhi,et al.  Numerical simulation of annular-phased arrays of dipoles for hyperthermia of deep-seated tumors , 1992, IEEE Transactions on Biomedical Engineering.

[63]  W. O’Brien,et al.  The monopole-source solution for estimating tissue temperature increases for focused ultrasound fields , 1996, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[64]  Allen Taflove,et al.  Computational Electrodynamics the Finite-Difference Time-Domain Method , 1995 .

[65]  T P Ryan,et al.  Temperature field estimation using electrical impedance profiling methods. I. Reconstruction algorithm and simulated results. , 1994, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.

[66]  K Paulsen,et al.  Non-invasive thermal assessment of tissue phantoms using an active near field microwave imaging technique. , 1998, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.

[67]  R Felix,et al.  Evaluation of segmentation algorithms for generation of patient models in radiofrequency hyperthermia , 1998, Physics in medicine and biology.

[68]  M. Mattingly,et al.  Reduced-order modeling for hyperthermia: an extended balanced-realization-based approach , 1998, IEEE Transactions on Biomedical Engineering.

[69]  W. Wulff,et al.  The Energy Conservation Equation for Living Tissue , 1974 .

[70]  N. Maratos,et al.  Optimization of the deposited power distribution inside a layered lossy medium irradiated by a coupled system of concentrically placed waveguide applicators , 1998, IEEE Transactions on Biomedical Engineering.

[71]  H C Charles,et al.  1H MRI phase thermometry in vivo in canine brain, muscle, and tumor tissue. , 1996, Medical physics.

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

[73]  Paolo Bernardi,et al.  SAR distribution and temperature increase in an anatomical model of the human eye exposed to the field radiated by the user antenna in a wireless LAN , 1998 .