Radioterapia em câncer de mama: importância da determinação da curva de isodose

The study analyzed contours of the thoracic region of patients undergoing radiotherapy of breast tumors in Hospital Manuel de Abreu of Bauru (institution 1) and the Hospital da Faculdade de Medicina of Botucatu (Institution 2). Were prepared isodose curves corresponding to the contours of the patient, which were presented for radiotherapists doctors both hospital services that enabled the choice of the curve isodose that provides the best distribution of radiation dose in the irradiated volume. Some boundaries were digitized in one institution and sent for preparation of isodose lines in the institution 2, both curves plotted in each of the institutions and for the same contour, were compared, showing that the methodology of Curves of distance is feasible and reliable, while optimizing the routine procedures regarding the handling of isodose plans provided by different radiation equipment. It compares the calculation of the exposure time determined using the isodose curve selected by calculating the value obtained considering the PDP at the point of the middle line of separation between the internal and external fields, the difference between the two methods for determining exposure time was around 2.4%. A study on the angle of the radiation beam at the input field (region breast-air) was conducted showing that, once known a tangent angle of the input beam, one can estimate the angle of the wedge filter used in some procedures for uniformity of dose within the irradiated volume compensation and the lack of tissue in the treatment volume. A comparative study between the isodose curves produced manually with the curves obtained in a two-dimensional computer system, the computer system showed that provides further information regarding the dose gradient within the irradiated volume, in addition to reducing the time spent in preparing the curves isodose

Método de pontos interiores no planejamento ótimo do tratamento de câncer por radioterapia

The Medical Physics has been developing very fast due to the progress of the technologies and to the increase of the concerns with cure of diseases. One of the Medical Physics main performances at the present time is the use of ionizing radiations for cancer treatment, especially, services as Radiotherapy. The radiotherapy technique uses ionizing radiation with therapeutic end of cancer controls, avoiding your proliferation and it worsens of the patient. For the treatment a radiation bunch is used, with rectangular form, that it passes through the different types of tissues of the patient's body, and depending on the attenuation and of the depth of the fabrics, a great amount of energy is deposited inside in different points of the body. Like this, to plan this treatment type it should be obtained the dimension of the distribution and dose absorption along the volume. For this, it is necessary in the planning of the treatment of the cancer for radiotherapy to build isodose curves, which are lines that represent points of same amount of dose to be deposited in the area to be treated. To aid the construction of the curves of form isodose to reach the best result in the planning of the treatment, in other words, a great planning, providing the maximum of dose in the tumor and saving the healthy and critical organs, it has been using mathematical tools and computational. A plan of cancer treatment for radiotherapy is considered great when all the parameters that involve the treatment, be them physical or biological, they were investigated and adapted individually for the patient. For that, is considered the type and the location of the tumor, worrying about the elimination of the cancer without damaging the healthy tissue of the treated area, mainly the risk organs, which are in general very sensitive to the radiations. This way, the optimization techniques... (Complete abstract click electronic access below)

Programação linear no planejamento do tratamento de câncer por radiocirurgia

Medical Physics has been reaching an important role among several lines in Science, providing means for the improvement of several theories and procedures. Currently, its main application is related with the use of ionizing radiations, specially, in treatment procedures such as Radiotherapy. Radiosurgery is a Radiotherapy technique which consists in administering a single tumoricidal dose of radiation exclusively to the tumorous lesion. It becomes then an interesting alternative to surgical treatment, mainly in cerebral metastases, which are the most frequent cerebral tumors in the central nervous system. The radio neurosurgical team works out a planning for the Radiosurgery treatment, aiming for obtaining an appropriate ideal treatment for each case. For the working out of this treatment planning, Computed Tomography images of the region to be treated are obtained, digitalized and later, fused with nuclear magnetic resonance images. Through these images, critical structures, organs at risk and lesions are localized. After this, calculations are made to determine three-dimensional positions of isocenters, isodose curves, prescribed dose, collimators sizes, position, numbers and respective weight of isocentric conformal fields, and others. The treatment planning is commonly based in desired levels of dose for specific types of tumors and organs at risk concerning the irradiated region. Theses levels of dose are chosen in a way that a high probability of cure may be achieved and meanwhile, that the probability of complications, in whichever organ at risk, may be minimal. Thus, many researches have been carried out, showing that mathematical techniques may help to obtain an optimal planning for the treatment of cerebral metastases. Among the methods of optimization in the study...(Complete abstract click electronic access below)

Análise quantitativa dos parâmetros físicos e radiométricos de procedimetnos radioterapicos em tumores de mama

The paper presents the radiometric parameters determined by the medical physicist during routine radiotherapy planning service in cases of breast cancer . The contours of the breast volume in patients undergoing radiation breast tumors at the Hospital das Clinicas, Faculty of Medicine , UNESP, Botucatu ( HCFMB ) during the year 2012 were analyzed . In order to analyze the influence of physical and radiometric parameters for the determination of the dose distribution of irradiated breast volume , four measurements of isodose curves were prepared in four different heights breast , and compared with the isodose curves plotted computationally . In the routine of planning , the medical physicist must determine the isodose curve that gives the best dose distribution homogeneity in the irradiated volume . The choice of the treatment plan can be done by dedicated computer systems , which require significantly costly investments available services having better financial support . In the Service of Medical Physics , Department of Radiotherapy , HC FMB , we use a two-dimensional software for determination of isodose curves , however , this software is out of date and frequently becomes inoperable due to the lack of maintenance and it is a closed system without feasibility of interference from computer professionals . This fact requires manual preparation of isodose curves , which are subject to uncertainties due to the subjectivity in the clinical interpretation of medical radiation oncologist and medical physicist responsible for planning , plus dispendiar significant calculation time . The choice of the optimal isodose curve depends on the energy of the radiation beam , the geometry and dimensions of the irradiated area . The contours of the breast studied in this work evaluations showed that , for a given energy input , such as the energy of 1.25 MeV of gamma radiation Unit Telecobaltoterapia , the determination of the percentage depth dose ( PDP ) ...

Twisted Edwards curves revisited

This paper introduces fast algorithms for performing group operations on twisted Edwards curves, pushing the recent speed limits of Elliptic Curve Cryptography (ECC) forward in a wide range of applications. Notably, the new addition algorithm uses for suitably selected curve constants. In comparison, the fastest point addition algorithms for (twisted) Edwards curves stated in the literature use . It is also shown that the new addition algorithm can be implemented with four processors dropping the effective cost to . This implies an effective speed increase by the full factor of 4 over the sequential case. Our results allow faster implementation of elliptic curve scalar multiplication. In addition, the new point addition algorithm can be used to provide a natural protection from side channel attacks based on simple power analysis (SPA).

Jacobi quartic curves revisited

This paper provides new results about efficient arithmetic on Jacobi quartic form elliptic curves, y 2 = d x 4 + 2 a x 2 + 1. With recent bandwidth-efficient proposals, the arithmetic on Jacobi quartic curves became solidly faster than that of Weierstrass curves. These proposals use up to 7 coordinates to represent a single point. However, fast scalar multiplication algorithms based on windowing techniques, precompute and store several points which require more space than what it takes with 3 coordinates. Also note that some of these proposals require d = 1 for full speed. Unfortunately, elliptic curves having 2-times-a-prime number of points, cannot be written in Jacobi quartic form if d = 1. Even worse the contemporary formulae may fail to output correct coordinates for some inputs. This paper provides improved speeds using fewer coordinates without causing the above mentioned problems. For instance, our proposed point doubling algorithm takes only 2 multiplications, 5 squarings, and no multiplication with curve constants when d is arbitrary and a = ±1/2.

Faster group operations on elliptic curves

This paper improves implementation techniques of Elliptic Curve Cryptography. We introduce new formulae and algorithms for the group law on Jacobi quartic, Jacobi intersection, Edwards, and Hessian curves. The proposed formulae and algorithms can save time in suitable point representations. To support our claims, a cost comparison is made with classic scalar multiplication algorithms using previous and current operation counts. Most notably, the best speeds are obtained from Jacobi quartic curves which provide the fastest timings for most scalar multiplication strategies benefiting from the proposed 12M + 5S + 1D point doubling and 7M + 3S + 1D point addition algorithms. Furthermore, the new addition algorithm provides an efficient way to protect against side channel attacks which are based on simple power analysis (SPA). Keywords: Efficient elliptic curve arithmetic,unified addition, side channel attack.

Faster pairings on special Weierstrass curves

This paper presents efficient formulas for computing cryptographic pairings on the curve y 2 = c x 3 + 1 over fields of large characteristic. We provide examples of pairing-friendly elliptic curves of this form which are of interest for efficient pairing implementations.