In this brief communication we present a new integral transform, so far unknown, which is applicable, for instance, to studying the kinetic theory of natural eigenmodes or transport excited in plasmas with bounded dis...In this brief communication we present a new integral transform, so far unknown, which is applicable, for instance, to studying the kinetic theory of natural eigenmodes or transport excited in plasmas with bounded distribution functions such as in Q machines/plasma diodes or in the scrap-off layer of Tokamak fusion plasmas. The results are valid for functions of function spaces—Lebesgue spaces, which are defined using a natural generalization of the p-norm for finite-dimensional vector spaces, where is the real set, σs is the σ-algebra of Lebesgue measurable sets, and the μ Lebesgue measure. , so that . Note that, using a simpler notation, more natural/known to engineers, f could be considered any piecewise continuous function, that is: Here is a Euclidian space with the usual norm (inner product: ) given by: [1].展开更多
The Dose Volume Histograms are tools commonly used in medical physics, for the analysis of doses delivered to the tumors and organs at risk, during radiotherapy treatments. However, there are few studies in the litera...The Dose Volume Histograms are tools commonly used in medical physics, for the analysis of doses delivered to the tumors and organs at risk, during radiotherapy treatments. However, there are few studies in the literature showing in details the steps of its construction. This work presents the implementation and evaluation of a computational methodology, for the construction of Dose Volume histograms, generated from simulations using anthropomorphic and voxel phantoms, in conjunction with the Monte Carlo code MCNP. The methodology was evaluated considering brachytherapy planning of low dose rate, using 108 seeds of I-125 with individual activities of 0.33 mCi performed on the simulator in voxel recommended by ICRP 110. The dosimetric analysis after implantation showed that the prostate received doses ranging from 0 to 360 Gy. We found the values of 50, 145 and 160 Gy for the parameters D<sub>100</sub>, D<sub>90</sub> and D<sub>80</sub> and 28%, 90%, 92% and 95% for the parameters V<sub>200</sub>, V<sub>100</sub>, V<sub>90</sub> and V<sub>80</sub>. The rectum and bladder received maximum doses equal to 41 and 60 Gy and found the values of 39 and 22 Gy and 58 and 42 Gy to the parameters D<sub>0.1cc</sub> and D<sub>2cc</sub>, respectively. The results after dosimetric implant proved satisfactory, which validate the methodology described above.展开更多
文摘In this brief communication we present a new integral transform, so far unknown, which is applicable, for instance, to studying the kinetic theory of natural eigenmodes or transport excited in plasmas with bounded distribution functions such as in Q machines/plasma diodes or in the scrap-off layer of Tokamak fusion plasmas. The results are valid for functions of function spaces—Lebesgue spaces, which are defined using a natural generalization of the p-norm for finite-dimensional vector spaces, where is the real set, σs is the σ-algebra of Lebesgue measurable sets, and the μ Lebesgue measure. , so that . Note that, using a simpler notation, more natural/known to engineers, f could be considered any piecewise continuous function, that is: Here is a Euclidian space with the usual norm (inner product: ) given by: [1].
文摘The Dose Volume Histograms are tools commonly used in medical physics, for the analysis of doses delivered to the tumors and organs at risk, during radiotherapy treatments. However, there are few studies in the literature showing in details the steps of its construction. This work presents the implementation and evaluation of a computational methodology, for the construction of Dose Volume histograms, generated from simulations using anthropomorphic and voxel phantoms, in conjunction with the Monte Carlo code MCNP. The methodology was evaluated considering brachytherapy planning of low dose rate, using 108 seeds of I-125 with individual activities of 0.33 mCi performed on the simulator in voxel recommended by ICRP 110. The dosimetric analysis after implantation showed that the prostate received doses ranging from 0 to 360 Gy. We found the values of 50, 145 and 160 Gy for the parameters D<sub>100</sub>, D<sub>90</sub> and D<sub>80</sub> and 28%, 90%, 92% and 95% for the parameters V<sub>200</sub>, V<sub>100</sub>, V<sub>90</sub> and V<sub>80</sub>. The rectum and bladder received maximum doses equal to 41 and 60 Gy and found the values of 39 and 22 Gy and 58 and 42 Gy to the parameters D<sub>0.1cc</sub> and D<sub>2cc</sub>, respectively. The results after dosimetric implant proved satisfactory, which validate the methodology described above.
