Brachytherapy optimal planning with application to intravascular radiation therapy

We have been studying brachytherapy planning with the objective of minimizing the maximum deviation of the delivered dose from prescribed dose bounds for treatment volumes. A general framework for optimal treatment planning is presented and the minmax optimization is formulated as a linear program. Dose rate calculations are based on the dosimetry formulation of the American Association of Physicists in Medicine, Task Group 43. We apply the technique to optimal planning for intravascular brachytherapy of intimal hyperplasia using ultrasound data and 192Ir seeds. The planning includes determination of an optimal dwell-time sequence for a train of seeds that deliver radiation while stepping through the vessel lesion. The results illustrate the advantage of this strategy over the common approach of delivering radiation by positioning a single train of seeds along the whole lesion.

[1]  George B. Dantzig,et al.  Linear programming and extensions , 1965 .

[2]  Hanif D. Sherali,et al.  Linear Programming and Network Flows , 1977 .

[3]  Y. Yu,et al.  Multiobjective decision theory for computational optimization in radiation therapy. , 1997, Medical physics.

[4]  Philippe Cinquin,et al.  External radiotherapy of prostatic carcinoma: a quadratic optimization of the dose distribution , 1997, CVRMed.

[5]  R Waksman,et al.  Radiation for prevention of restenosis: where are we? , 1996, International journal of radiation oncology, biology, physics.

[6]  Friedberg Ck.  Computers in cardiology. , 1970 .

[7]  Dattatreyudu Nori,et al.  An atlas of brachytherapy , 1988 .

[8]  J. E. Kelley,et al.  The Cutting-Plane Method for Solving Convex Programs , 1960 .

[9]  R. Saigal.  Linear Programming: A Modern Integrated Analysis , 1995 .

[10]  David G. Luenberger,et al.  Linear and nonlinear programming , 1984 .

[11]  R A Schatz,et al.  Catheter-based radiotherapy to inhibit restenosis after coronary stenting. , 1997, The New England journal of medicine.

[12]  William R. Hendee,et al.  Radiation Therapy Physics , 1981 .

[13]  S. Webb.  Optimization by simulated annealing of three-dimensional conformal treatment planning for radiation fields defined by a multileaf collimator. , 1991, Physics in medicine and biology.

[14]  R Mohan,et al.  Clinically relevant optimization of 3-D conformal treatments. , 1992, Medical physics.

[15]  S. Nag.  Principles and practice of brachytherapy , 1997 .

[16]  Katta G. Murty.  The gravitational method for linear programming , 1986 .

[17]  Steve Webb,et al.  The Physics of Three Dimensional Radiation Therapy , 1993 .

[18]  Lydia E. Kavraki,et al.  Treatment planning for a radiosurgical system with general kinematics , 1994, Proceedings of the 1994 IEEE International Conference on Robotics and Automation.

[19]  M Goitein,et al.  Implementation of a model for estimating tumor control probability for an inhomogeneously irradiated tumor. , 1993, Radiotherapy and oncology : journal of the European Society for Therapeutic Radiology and Oncology.

[20]  A. Niemierko,et al.  Optimization of 3D radiation therapy with both physical and biological end points and constraints. , 1992, International journal of radiation oncology, biology, physics.

[21]  Kerry Han,et al.  Radiation Therapy Physics. 2nd ed , 1998 .

[22]  L. Anderson,et al.  Dosimetry of interstitial brachytherapy sources: Recommendations of the AAPM Radiation Therapy Committee Task Group No. 43 , 1995 .

[23]  R Nath,et al.  On the depth of penetration of photons and electrons for intravascular brachytherapy. , 1999, Cardiovascular radiation medicine.

[24]  D. Diamond,et al.  The role of radiation therapy in the management of vascular restenosis. Part II. Radiation techniques and results. , 1998, Journal of vascular and interventional radiology : JVIR.

[25]  Chee-Wai Cheng,et al.  Three-dimensional treatment planning , 1992 .

[26]  G. W. Swan.  Optimization of Human Cancer Radiotherapy , 1981 .

[27]  M. Sonka,et al.  Geometrically correct 3-D reconstruction of coronary wall and plaque: combining biplane angiography and intravascular ultrasound , 1996, Computers in Cardiology 1996.

[28]  E. M. L. Beale,et al.  Nonlinear Programming: A Unified Approach. , 1970 .

[29]  Patrick W. Serruys,et al.  Handbook of Vascular Brachytherapy , 1998 .