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Biomedical subjects

U Oelfke

Publications and source records attributed to U Oelfke.

12 recordsLinked to original sources
PubMed2001

Inverse planning for photon and proton beams.

The concept of inverse planning for intensity-modulated radiation therapy and its application for photon and charged particle beams is presented. Starting from theoretical solutions of the "inverse problem" in radiation therapy, a clinically applied optimization approach is discussed. A central topic is the mathematical formulation of clinical objectives in terms of physical parameters such as dose levels and irradiated volumes. Examples for practical inverse treatment planning and its clinical application for photon beams are provided. Inverse treatment planning of dose delivery techniques with charged particle beams is discussed by extending the conventional planning concept. A new multimodality inverse planning tool is described and applied to an example of comparative planning between photon and proton IMRT.

Mathematics↗
PubMed2000

What is the optimum leaf width of a multileaf collimator?

UNLABELLED: The following question is investigated: How narrow do the leaves of a multileaf collimator have to be such that further reduction of the leaf width does not lead to physical improvements of the dose distribution. Because of the physical principles of interaction between radiation and matter, dose distributions in radiotherapy are generally relatively smooth. According to the theory of sampling, the dose distribution can therefore be represented by a set of evenly spaced samples. The distance between the samples is identified with the distance between the leaf centers of a multileaf collimator. The optimum sampling distance is derived from the 20% to 80% field edge penumbra through the concept of the dose deposition kernel, which is approximated by a Gaussian. The leaf width of the multileaf collimator is considered to be independent from the sampling distance. Two cases are studied in detail: (i) the leaf width equals the sampling distance, which is the regular case, and (ii) the leaf width is twice the sampling distance. The practical delivery of the latter treatment geometry requires a couch movement or a collimator rotation. The optimum sampling distance equals the 20%-80% penumbra divided by 1.7 and is on the order of 1.5-2 mm for a typical 6 MV beam in soft tissue. The optimum leaf width equals this sampling distance in the regular case. A relatively small deterioration results if the leaf width is doubled, while the sampling distance remains the same. The deterioration can be corrected for by deconvolving the fluence profile with an inverse filter. CONCLUSIONS: With the help of the sampling theory and, more generally, the theory of linear systems, one can find a general answer to the question about the optimum leaf width of a multileaf collimator from a physical point of view. It is important to distinguish between the sampling distance and the leaf width. The sampling distance is more critical than the leaf width. The leaf width can be up to twice as large as the sampling width. Furthermore, the derived sampling distance can be used to select the optimum resolution of both the fluence and the dose grid in dose calculation and inverse planning algorithms.

Models, Statistical↗
PubMed2000

Intensity modulated radiotherapy with charged particle beams: studies of inverse treatment planning for rotation therapy.

The optimization of intensity modulated radiotherapy (IMRT) for charged particle beams is a necessary prerequisite to evaluate the clinical potential of this treatment modality in comparison to IMRT with high energy photons. A theoretical study for IMRT with charged particle beams delivered by rotation therapy is presented. First, the inverse problem for two-dimensional rotation therapy with arbitrary depth dose curves is formulated. Then a numerical strategy is devised to calculate fluence profiles for the simplified case of arbitrary rotationally invariant dose distributions. This mathematical framework is applied to study various aspects of charged particle IMRT. A central topic of the investigation is the evaluation of dose delivery, based on distal edge tracking (DET) and intensity modulation. The potential of DET-IMRT with charged particle beams is studied in comparison to an optimal, conventional dose delivery technique, which employs the concept of a spread-out Bragg peak (SOBP). Moreover, a comparison to photon IMRT is provided for simple geometric dose patterns. The technique of DET-IMRT for the delivery of a homogeneous target dose is only feasible for targets up to a critical radius, depending on the individual shape of the employed Bragg peak. The irradiation of larger targets requires energy modulation in addition to the range modulation for DET. The accurate placement of the Bragg peak with respect to the target edge is found to be of potential importance. Comparing dose delivery via DET-IMRT with the optimal SOBP technique revealed a significant advantage of DET-IMRT, especially a saved integral dose in target-adjacent healthy tissues of up to 30%, and a reduction of the penumbra at the target edge by almost 50%. A saving in integral dose to healthy tissues by a factor of 2-3 was observed for DET-IMRT in comparison to IMRT with high energy photons.

Biophysical Phenomena↗
PubMed1999

Inverse planning for x-ray rotation therapy: a general solution of the inverse problem.

Rotation therapy with photons is currently under investigation for the delivery of intensity modulated radiotherapy (IMRT). An analytical approach for inverse treatment planning of this radiotherapy technique is described. The inverse problem for the delivery of arbitrary 2D dose profiles is first formulated and then solved analytically. In contrast to previously applied strategies for solving the inverse problem, it is shown that the most general solution for the fluence profiles consists of two independent solutions of different parity. A first analytical expression for both fluence profiles is derived. The mathematical derivation includes two different strategies, an elementary expansion of fluence and dose into polynomials and a more practical approach in terms of Fourier transforms. The obtained results are discussed in the context of previous work on this problem.

Mathematics↗
PubMed1999

Fast and exact 2D image reconstruction by means of Chebyshev decomposition and backprojection.

A new algorithm for the reconstruction of two-dimensional (2D) images from projections is described. The algorithm is based on the decomposition of the projections into Chebyshev polynomials of the second kind, which are the ideal basis functions for this application. The Chebyshev decomposition is done via the fast discrete sine transform. A discrete reconstruction filter is applied that corresponds to the ramp filter used in standard filtered backprojection (FBP) reconstruction. In contrast to FBP, the filter is applied to the Chebyshev coefficients and not to the Fourier coefficients of the projections. Then the reconstructed image is simply obtained by means of backprojection. Consequently, the method can be considered as a Chebyshev-domain filtered backprojection (CD-FBP). The total calculation time is dominated by the backprojection step only and is comparable to FBP. The merits of CD-FBP as compared with standard FBP are that: (a) The result is exact if the 2D function to be reconstructed can be decomposed into polynomials of finite degree, and if the sampling is adequate. Otherwise a polynomial approximation results. (b) The algorithm is inherently discrete. (c) It is particularly well suited for reconstructions from projections with non-equidistant samples that occur for instance in 2D PET (positron emission tomography) imaging and in a special form of fan beam scanning. Examples of applications comprise reconstructions of the Shepp and Logan head phantom in various sampling geometries, and a real PET test object. In the PET example an increased resolution is observed in comparison with standard FBP.

Algorithms↗
PubMed1999

Range modulation in proton therapy--an optimization technique for clinical and experimental applications.

A fast optimization algorithm for range modulation in clinical and experimental applications of proton therapy is described. The method is versatile towards the number of parameters provided for range modulation, i.e. the trade-off between accuracy and simplicity of the latter can be chosen freely. The approach is, therefore, adaptable to most operating proton therapy facilities. It requires only a few basic measurements as input data and results in a depth dose uniformity of better than 2%. A typical calculation takes less than 90 s on a DEC VAXstation 3100, FORTRAN. The method has been extensively tested at the TRIUMF Proton Therapy Facility in Vancouver, BC.

Algorithms↗
PubMed1996

Proton dose monitoring with PET: quantitative studies in Lucite.

The feasibility of using PET for proton dose monitoring is examined here in detail. First experimental studies in a Lucite phantom have been performed at the medical TRIUMF proton beamline for proton energies of 62 MeV and 110 MeV. The proton dose delivered to the phantom ranged from 16 Gy up to 317 Gy. The induced activity was analysed 20-40 min after the irradiation with a PET scanner. The obtained depth activity profiles were compared to our calculation based on a model using available isotope production cross-section data. Both the observed absolute count rates and the activity profiles were found to agree very well with this model. Effects such as proton range straggling, inelastic nuclear interactions and the energy spectrum of the emitted positrons were studied in detail and found to change the activities by 5-10%. The lateral deposition of dose in the phantom could be very well localized by the induced activity. However, the spatial correlation between dose depth profiles and depth activity profiles was found to be poor, hence the extraction of isodose profiles from activity profiles seems to be very difficult.

Carbon↗
PubMed1996

Measurements of relative biological effectiveness of the 70 MeV proton beam at TRIUMF using Chinese hamster V79 cells and the high-precision cell sorter assay.

Measurements of relative biological effectiveness (RBE) have been made on the range-modulated 70 MeV proton beam at TRIUMF using a precise cell sorting survival assay. In this study, Chinese hamster V79-WNRE cells were suspended in medium containing liquid gelatin at 37 degrees C in irradiation tubes and the gel was allowed to solidify by cooling to 4 degrees C. Complete cell survival responses were measured at 11 positions with 2 mm spacing within a proton stopping peak width of approximately 2 cm. Survival responses after proton irradiation were compared with responses to 60Co gamma rays measured at the same time, and RBE values were determined as a function of both dose and depth. Above doses of 4 Gy, the average RBE for these cells throughout the modulated proton stopping distribution was 1.21 +/- 0.05, measured at a survival of 1%. However, we also observed that, within the spread-out Bragg peak, the RBE increased with increasing depth, from approximately 1.2 at the proximal part to > 1.3 at the distal part of the peak. At the distal edge of the stopping distribution, the RBE value increased significantly, to an extent that may be of concern when this region of the treatment volume is close to sensitive tissues. Below 4 Gy, the RBE value was also dependent on radiation dose, increasing significantly to values of approximately 1.37 and 1.56 at 2 and 1 Gy, respectively. Our results illustrate that the use of a single RBE value in different irradiation protocols can be an oversimplification, and argues for the use of "proton gray doses" rather than "gamma-ray equivalent grays."

Animals↗